Advanced Course in Molecular Environmental Science I 1
20200618
分子環境学特論I
7
Advanced Course in Molecular Environmental Science I 2
Advanced Course in Molecular Environmental Science I
Division of Environmental Material Science Graduate School of Environmental ScienceThe first semester of Fiscal 202010301200 Thursday on ZOOM
Bunsho OhtaniInstitute for Catalysis Hokkaido University Sapporo 001-0021 Japan011-706-9132 (dial-in)011-706-9133 (facsimile)
ohtanicathokudaiacjphttppcatcathokudaiacjppcat
Advanced Course in Molecular Environmental Science I 3
schedule
(1) May 7 introduction with introduction(2) May 14 mole and Avogadro constant(3) May 21 necessary and sufficient conditionsMt Everest(4) May 28 microwave ovenInternet(5) June 4 originality in sciencefake(6) June 11 experimental notebook(7) June 18 blood typechi-square (chi-squared) test(8) June 25 cell(9) July 2 triple crown(10) July 9 recycle(11) July 16 ecologygreen-house effect(12) July 23 correlationrecognitionXXXed(13) July 30 recognitionXXXed(14) August 6 presentation of quiz(15) August 13 presentation of quiz
(questionnaire)
Advanced Course in Molecular Environmental Science I 4
the best question and answer
Q Which is the best question Answer the nicknameQ Which is the best answer Answer the nickname
bull Do not vote question(s) of absent student(s) and delayed arrival shown below the horizontal line
bull In case an attendee asks multiple questions (and answers) specify the number following the nickname when voting eg Einstein (2) Unassigned vote will be evenly divided into all multiple questions
Advanced Course in Molecular Environmental Science I 5
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 6
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 2
Advanced Course in Molecular Environmental Science I
Division of Environmental Material Science Graduate School of Environmental ScienceThe first semester of Fiscal 202010301200 Thursday on ZOOM
Bunsho OhtaniInstitute for Catalysis Hokkaido University Sapporo 001-0021 Japan011-706-9132 (dial-in)011-706-9133 (facsimile)
ohtanicathokudaiacjphttppcatcathokudaiacjppcat
Advanced Course in Molecular Environmental Science I 3
schedule
(1) May 7 introduction with introduction(2) May 14 mole and Avogadro constant(3) May 21 necessary and sufficient conditionsMt Everest(4) May 28 microwave ovenInternet(5) June 4 originality in sciencefake(6) June 11 experimental notebook(7) June 18 blood typechi-square (chi-squared) test(8) June 25 cell(9) July 2 triple crown(10) July 9 recycle(11) July 16 ecologygreen-house effect(12) July 23 correlationrecognitionXXXed(13) July 30 recognitionXXXed(14) August 6 presentation of quiz(15) August 13 presentation of quiz
(questionnaire)
Advanced Course in Molecular Environmental Science I 4
the best question and answer
Q Which is the best question Answer the nicknameQ Which is the best answer Answer the nickname
bull Do not vote question(s) of absent student(s) and delayed arrival shown below the horizontal line
bull In case an attendee asks multiple questions (and answers) specify the number following the nickname when voting eg Einstein (2) Unassigned vote will be evenly divided into all multiple questions
Advanced Course in Molecular Environmental Science I 5
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 6
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 3
schedule
(1) May 7 introduction with introduction(2) May 14 mole and Avogadro constant(3) May 21 necessary and sufficient conditionsMt Everest(4) May 28 microwave ovenInternet(5) June 4 originality in sciencefake(6) June 11 experimental notebook(7) June 18 blood typechi-square (chi-squared) test(8) June 25 cell(9) July 2 triple crown(10) July 9 recycle(11) July 16 ecologygreen-house effect(12) July 23 correlationrecognitionXXXed(13) July 30 recognitionXXXed(14) August 6 presentation of quiz(15) August 13 presentation of quiz
(questionnaire)
Advanced Course in Molecular Environmental Science I 4
the best question and answer
Q Which is the best question Answer the nicknameQ Which is the best answer Answer the nickname
bull Do not vote question(s) of absent student(s) and delayed arrival shown below the horizontal line
bull In case an attendee asks multiple questions (and answers) specify the number following the nickname when voting eg Einstein (2) Unassigned vote will be evenly divided into all multiple questions
Advanced Course in Molecular Environmental Science I 5
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 6
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 4
the best question and answer
Q Which is the best question Answer the nicknameQ Which is the best answer Answer the nickname
bull Do not vote question(s) of absent student(s) and delayed arrival shown below the horizontal line
bull In case an attendee asks multiple questions (and answers) specify the number following the nickname when voting eg Einstein (2) Unassigned vote will be evenly divided into all multiple questions
Advanced Course in Molecular Environmental Science I 5
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 6
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 5
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 6
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
6 3
ルール 偶数のカードの裏は赤rule back-side color of even number is red
beerjuiceage
16age
33
ルール 20歳未満は酒を飲めないrule people younger than 20 are prohibited to drink alcohol
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
6 6
33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
6killer
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
juice16 juice 16
beer 33beer33
逆converse
裏inverse
裏inverse
逆converse
対偶contra-positive
beer16killer
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 10
practice for making quiz
Q Why is the cover of a manhole round
A Because when a cover is not round it falls into a manhole
マンホールの蓋はなぜ丸い 検索
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 14
proposition
A rid of manhole is round because a round rid does not fall intoa hole
[combination of two propositions] (1) A rid of manhole may not(100) fall into a hole (2) A round rid does not fall into a hole
[not a proposition] (1) A rid of manhole should not fall into a hole= A rid of manhole may fall into a hole = A probability of amanhole rid to fall into a hole is 0 - 100
[false proposition] A rid of manhole may not (100) fall into ahole FALSE because (a) There are rids to be able to fall intoholes and (b) Rids of manholes are different
staynotround
killer
stayround
fall notround fallnot
round
stay round
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
Advanced Course in Molecular Environmental Science I 16
practice for making quiz
Q Why is the cover of a manhole round
A Because ordinary manholes are of round pipe rids (covers) should be round
Q What is (are) a merit (merits) of a round rid for manholes
A Because when a cover is not round it falls into a manhole
Q Does ONLY a round shaped rid not fall into a manhole
Q Why coins are round
Reuleauxs polygon (triangle)from regular odd-gons
httpsjawikipediaorgwikiルーローの三角形
XX
killer
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
対偶contra-positive
逆converse
逆converse
裏inverse
裏inverse
killer
Advanced Course in Molecular Environmental Science I 21
necessary and sufficient conditions
bull no sufficient conditions for identificationbull only necessary conditionswe dont know how many necessary
conditions
if this is the object compoundmolecular weight should be elemental analysis should be NMR spectrum should be infrared absorption spectrum should be
Only one result inconsistent with an assumption canEXCLUDE the assumption
A
B
CD
E
必要条件
十分条件《真理》
ncsctruth
Advanced Course in Molecular Environmental Science I 22
laboratory notebook interpretation
a first step of INTERPRETATION (translation) of experimental observations ie the data recorded in TEXTS
cf Pasting PHOTOS or drawing pictures on a notebook is not interpretation and description (texts) must follows
raw experimental observations
(not expressed by texts)
records in a notebook described with texts
interpretation
文章 (Bunsho) = text
Advanced Course in Molecular Environmental Science I 23
blood type
bull ABObull Rh+-bull MNbull Pbull Kellbull Lewis
Ｑ
Which is A B ABand O type
Advanced Course in Molecular Environmental Science I 24
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 26
blood type and character (nature)
Why do you think that those characters are relating to blood types
OR
What is the significant point for the thinking relation between blood type and characters
A well-organizedB my paceO simple or leadershipAB dual personality
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 27
ABO blood group
determination of ABO blood group(AB)antigen-(AB)antibody reaction
A A-antigen on red blood cellB-antibody in blood serum
B B-antigen on red blood cellA-antibody in blood serum
O no antigens on red blood cellA- and B-antibody in blood serum
AB A- and B-antigens on red blood cellno antibodies in blood serum
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 28
Professional golfers and blood type
Blood-type of professional golfers from Naoji Kurata Relation Between Blood-type and Characters in golf players KINKA (2003) 9
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 29
chi-square (chi-squared) test statistics
xi observed datummi expected on certain assumptionk (n-1) freedom [eg 3 for ABO group blood type]
Distribution of χ2 can be calculated for ns
χ20
α (probability)
( )sum=
minus
=n
i i
ii
mmx
1
22χ
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 30
chi-square distribution
For the distribution with n gt 2 probability ofgetting no deviation is zero = every timethere should be some deviation
α χ2(3)
0100 625139
0050 781473
0025 934840
0010 1134490
0005 1283810
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
hit
number
distribution
expected
chi square
4
5
00416
07904
2242
2
9
025
475
380
1
4
0333
6327
086
0
1
0375
7125
527
sum
19
09996
189924
3234
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
type
number
distribution
expected
chi square
A
6
0387
8127
056
B
7
0222
4662
117
O
4
0292
6132
074
AB
4
0099
2079
178
sum
21
1
21
425
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
0387
023
009
016
047
047
0222
090
072
056
091
048
0292
052
253
118
116
116
0099
059
074
239
315
469
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
61
127
16
349
073
350
618
996
2037
rank
2010m
2009m
2008m
2007m
2006m
1
f
O
B
O
B
2
A
O
O
B
f
3
O
A
f
f
O
4
O
B
O
B
A
5
A
A
O
O
O
6
O
O
f
f
O
7
f
B
f
O
B
8
B
B
AB
A
f
9
O
f
A
A
f
10
O
f
O
f
B
11
f
B
B
A
f
12
A
B
B
O
A
13
O
O
A
O
O
14
O
B
AB
A
A
15
B
O
f
f
A
16
B
O
O
O
O
17
f
f
A
f
O
18
O
AB
B
A
O
19
f
O
f
A
f
20
B
O
f
f
A
21
O
A
O
f
f
22
B
B
O
A
f
23
A
f
A
A
24
A
A
A
O
O
25
A
A
B
O
A
26
A
O
O
B
f
27
f
O
A
A
A
28
f
f
A
A
O
29
f
O
f
A
f
30
O
f
O
O
O
31
B
A
f
f
O
32
AB
f
A
f
f
33
A
A
A
f
O
34
f
A
O
A
A
35
f
O
O
O
f
36
AB
A
B
B
O
37
O
f
A
f
A
38
A
B
B
A
A
39
AB
O
A
f
B
40
f
A
O
B
B
41
A
A
A
O
AB
42
O
A
AB
f
B
43
B
f
O
f
f
44
A
AB
A
O
A
45
A
f
A
f
A
46
A
f
O
B
f
47
O
A
f
f
O
48
O
A
f
O
B
49
f
f
f
f
B
50
O
O
A
O
O
51
f
AB
A
A
A
52
O
O
O
f
A
53
A
O
A
O
f
54
O
O
B
A
f
55
A
f
B
A
f
56
f
O
O
f
A
57
B
f
f
A
O
58
A
f
O
B
f
59
O
f
A
B
A
60
f
O
B
A
f
61
AB
O
O
AB
A
62
f
B
f
A
O
63
f
A
O
A
A
64
f
O
f
f
f
65
A
f
f
B
A
66
A
f
f
A
67
A
B
f
B
A
68
O
O
A
A
f
69
B
A
A
O
A
70
A
A
O
f
A
71
f
A
A
f
O
72
O
A
f
A
f
73
A
B
A
f
A
74
f
f
A
f
75
A
O
f
f
f
76
f
A
f
f
B
77
f
B
O
A
B
78
f
f
A
O
O
79
A
O
f
O
f
80
O
O
f
f
O
81
A
A
A
A
A
82
A
f
B
f
O
83
AB
f
O
A
O
84
A
A
O
O
O
85
B
AB
A
A
86
A
f
f
O
f
87
B
AB
O
B
88
O
A
O
89
f
A
f
A
A
90
f
O
A
A
A
91
O
A
f
AB
92
f
O
f
O
f
93
A
f
O
f
A
94
f
A
f
f
A
95
O
A
B
f
96
O
f
O
O
A
97
A
f
A
f
O
98
B
O
B
B
99
A
A
f
O
f
100
f
B
A
B
f
type
2010
2009
2008
2007
2006
A
30
27
30
29
29
B
12
13
13
11
12
O
24
29
26
24
24
AB
5
5
3
2
1
total
71
74
72
66
66
A
023
009
016
047
047
B
090
072
056
091
048
O
052
253
118
116
116
AB
059
074
239
315
469
sum
223
408
429
568
680
A
023
009
016
047
047
B+AB
147
139
219
316
316
O
052
253
118
116
116
total
222
402
353
479
479
145
0387
61
0222
127
0292
16
0099
349
073
350
618
996
2037
Advanced Course in Molecular Environmental Science I 31
professional golfers ranking (men) 2006-2010
bull Japanese 1st to 100th golf players on their earningsbull excluding those who are clearly foreigners from their name (possible different
blood-type distribution)bull Some golfers blood type has not been disclosedbull Japanese blood type distribution A 0387 B 0222 O 0292 and AB 0099bull Generally the assumption for calculation can be rejected when the probability
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
Advanced Course in Molecular Environmental Science I 36
birthday
Q When is your birthday Which month and dayQ Do you think there is (are) one sharing a birthday with youQ How much is the probability that two in this class share a birthday
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
Advanced Course in Molecular Environmental Science I 37
birthday
A November 30A I think No because the probability may be below 2A Approximately 50 for 23 people
Probability of n people do not share birthdays = （365365）（364365）｛（365 - n + 1)365｝ = 365Pn365n = 365｛365ntimes（365－n）｝
( )3653653651
np n minus
minus=
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
Advanced Course in Molecular Environmental Science I
schedule
the best question and answer
format
email example
スライド番号 7
スライド番号 8
スライド番号 9
practice for making quiz
スライド番号 11
スライド番号 12
スライド番号 13
proposition
スライド番号 15
practice for making quiz
スライド番号 17
スライド番号 18
スライド番号 19
スライド番号 20
necessary and sufficient conditions
laboratory notebook interpretation
blood type
blood type and character
blood type and character
blood type and character (nature)
ABO blood group
Professional golfers and blood type
chi-square (chi-squared) test statistics
chi-square distribution
professional golfers ranking (men) 2006-2010
blood-type distribution in this class
statics of blood-type for Japanese
確率
diagnosis of a persons nature by blood group
birthday
birthday
format
email example
Advanced Course in Molecular Environmental Science I 38
formatPlease send email in Japanese or English within 72 hoursto ohtanicathokudaiacjpsubject me2020MMDD-XXXXXXXX
me2020MMDD-XXXXXXXXzzzyyyhokudaiacjp(full name)(nickname)(comments on todays lecture)(question [no need to be related to the contents of lecture])[blank line](nickname of the best question)(nickname of the best answer)(answer for question 1)(answer for question 2)(answer for question 3)
Advanced Course in Molecular Environmental Science I 39
