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Poli Eco 0802
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12
2 N={1,2,,n}:
2n
3 xPiyxRiyyRix not xIiyxRiyyRix R=f(R)
R=(R1,R2,,Rn) R
2.1RMD=fMD(R)xRMDyN(xPy)N(yPx)N(xPy)xPiyN(xRy), N(xIy)
4 156xPy5yPx4xIyxPMDy
155xPy6yPx4xIyyPMDx
156xPy6yPx3xIyxIMDy
xRMDyN(xPy)N(yPx)
5 U()
A() RRR=R
N() xRiyzRiwyRixwRizixRyzRwyRxwRz
6 PR() RRiNxPiyxPiyxIiyxRiykNxIkyxPkyyPkxxRky
(xRyPy)
2.1
U,A,N,PR
7
Nx=z,y=wxy
AN(xPy),N(yPx),N(xIy) NN(xPy)=N(yPx)xIy PRN(xPy)>N(yPx)xPy
8 CR() R =(R1,R2,,Rn)R=f(R)
2.2 U,A,N,PR,CR.
9
3
2
1
x y z
??
10
3
2
1
x y z
??
11
3
2
1
??
x y z
12
13
n
???? ??????
14
2
15
12 -nnf
k
)!(!!
fnfnC fn -=
-= -1
1 )!(!!k
f fnfn
16
f f < k
12)!()!1(
)!1(1
11 -
---
=-
=n
k
f fnfn
P
)!()!1()!1(
)!11()!1()!1(
11
fnfn
fnfnC fn
---=
+----=--
17
f f k
)!1(!)!1(
1 ---=- fnf
nC fn
12)!1(!
)!1(1
2 ---
-=
-=
n
n
kf fnfn
P
18
????
.5
.4
.3
.2
.1
.01 2 3 4 5 6 7 8 9 10 11 12
19
????
.5
.4
.3
.2
.1
.01 2 3 4 5 6 7 8 9 10 11 12
20
cf.
21
x yz
w
x y z w
x y z w
v
22
a, b, c ?????x, y, z ????????????(????)?
Ra; x y zRb; y z xRc; z x y
x yz
yz
y z
x
x
23
a, b, c 3????x, y, z, w 4??????3????(????)?
Ra; x y z wRb; z w x yRc; w x y z
???????? y ?????? x ????????
24
x yz
w
w
yw
z
x
z
x zy
w
w
zw
y
x
w
25
x wy
z
z
wz
y
x
y
y zw
x
w
zx
w
y
w
26
y wx
z
z
wz
x
y
x
z wx
y
x
wy
x
z
x
27
y z x w
1 z
x y z w
x
x z y w
w
28
SXxSyXSxPy S
yXS yX & yS
29
x ? y ? z w t u ? v S1?{x,y,z},S2?{x,y,z,w},S3?{x,y,z,w,t} S1, S2, S3???????????? ????????? S1?? S1?????????????
30
x
y
z w
u
x y
z
w
u
xy xPy
top cycle
31
97 31
2511 21
32
1414 450 489 319 318 173 83 413 329 104 270 146 114 31 28
1860
10001864 1382 846 589
33
1860 1000
* 3,6582,265* 2,516
1,0231,5911,713
* 2,416* 3,0902,139
2,165* 2,968* 2,542
*
34
35
Ii
xRiy |x-Ii| |y-Ii|
u
x1
x2
36
2(1)
1
???
I *
12
1
I *1
I*
37
2(2) 3x y zy z xz x y
???
xI1*
y
zI2*
I3*
1
38
I2
I1
=
39
a
b
cI3
I2
I1
3
40
3 3
41
a bI3
I2
I1
3
I2ab
42
(1) (2-1) 1e
(2-2) e
(3) e2
43
2
ab
1 b 23 a 4
a bI3
I2
I1
I4
44
ee
e
e x ee
ae
2
1+n
45
I6 I4
I2I3
I1I1
I5
I7=e
46
3aPib aPb bPa
47
aI1a aI3a P1a P3a P1aP3a Pa () I1 I2 P1 P2 P1P3 P I2 I3 bP2 bP3 bP2 bP3 bPa aPb Pa P bP bPa
48
a
b
I3
I2
I1
a
49
l2
I2
I3
I1
l1l3
a
a
b