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2003, 2006 Hewlett-Packard Devel123e4t C132a4y, L.P. , Hewlett-Packard, , .

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. TOC-1

1. ..................................................................1-1

............................................................1-1 .............................1-2 ....................................1-2 ....................................1-3.............................................................................1-3 TOOL....................................................................1-3 ................................................1-4

.................................1-4 ......................................1-6

.................................................................1-7 ...................1-11

..................................................1-11 .................1-12 ........................................................1-13 ..................................................1-13 .........................1-14

................................................1-15 ...................................................1-16

CAS..................................................1-16 CAS....................................1-18

...........................................................1-19 ..............................................1-20 ..............................1-20 ......................................................1-21 (EQW) ........................1-22

......................................................1-12

. TOC-2

1. ..............................................................1-1 .........................................1-1

.............................. 2-1 .............................. 2-4

(EQW)...1-5 .............................. 2-5 .............................. 2-7

........................................1-8 HOME ............................................................... 2-9 ................................................................... 2-9

..............................................................................1-9 ............................................ 2-10 ................................................... 2-11

.............................................. 2-11 RPN ............................................................... 2-12

............................... 2-14 .............................................. 2-14 RPN ............................................................... 2-14 ........................................................ 2-14 ............ 2-15

................................................... 2-15 PURGE .................................................................... 2-15 PURGE RPN.. 2-16

UNDO CMD ............................................................1-17 ...............................................1-17 .......................................................1-10

2. .................2-1

3-4 MTH.....................2-5

............................................ 3-6

. TOC-3

.......3-6 ................................................2-8

UNITS...................................................................3-8 ..............................3-10 ..........................3-10

.......................................3-11 .......................................3-12 .................................3-14

...................................2-14 .................................2-16 ......................................................2-18

4. .....4-1

..................................................4-2 4-3

..........................4-4 CMPLX..............................................................................4-4

CMPLX, MTH ...........................4-4 CMPLX, .............4-6

, .......................4-6 DROITE: ..............................4-7 ........................................................4-8

5.

.................................................5-1 ...................5-1

ALG .......................................................5-3 .............................5-6

..............................................5-6 ..........................................................................5-6

ARITHMETIC ....................................................5-7...............................................................................5-8

. TOC-4

HORNER ........................................................... 5-8 VX............................................................... 5-9 PCOEF .............................................................. 5-9 PROOT .............................................................. 5-9 QUOT REMAINDER ......................................... 5-9 PEVAL.............................................................. 5-10

......................................................................................5-10 SIMP2 ............................................................. 5-10 PROPFRAC....................................................... 5-11 PARTFRAC ....................................................... 5-11 FCOEF............................................................. 5-11 FROOTS .......................................................... 5-12

.................5-11 .......................................................5-12

6. ..............6-1

ISOL.................................................................. 6-1 SOLVE ............................................................... 6-3 SOLVEVX ........................................................... 6-4 ZEROS............................................................... 6-5

.........................................................6-5 ............................................. 6-6

.................. 6-6 ....................................................................... 6-8 .6-8

....................................................... 6-9 NUM.SLV ..................................................................... 6-10

STEQ ........................................................... 6-10 MSLV ...........6-11 .......................................................6-12

7. ...............................................7-1

. TOC-5

..................................................7-1 .............................................................7-1, , .....................7-2, .......................................7-3

......................................................7-4 .............................................7-4 MTH/LIST..........................................................................7-4 SEQ .............................................................................7-6 MAP ............................................................................7-6 ........................................................7-7

8. ............................................................................8-1

.........................................................8-1 ..................................8-2 (MTRW) .........8-2

................................................8-5 ..............................................................8-5 .....................................................8-5 ...................8-6 .........................................8-6

MTH/VECTOR ...................................................................8-6 ...............................................................8-7 .................................................8-7 ..................................................8-7

........................................................8-8 9.

....................................................................9-1 .....................................9-1 ................................9-2

............................................................9-2 .....................................................9-4 .....................................................................9-4

...............................9-4 ......................................9-5

. TOC-6

...................................................... 9-5 ................................................. 9-6 ................ 9-6 ...................................................... 9-7 ....................................................... 9-7

( NORM ) ...............9-8 DET ................................................................... 9-8 TRACE............................................................... 9-8

......................................9-9 ...................................................................... 9-9 ....................................... 9-11 .................................... 9-11

.......................................................9-11 10.

...............................................10-1 y = f(x) .................10-1 ..............................10-4 ............................10-6 .......................................................10-8

11. CALC ..............................................................................11-1 .........................................................11-1

li3 .................................................................. 11-1 DERIV DERVX ................................................ 11-3

...................................................11-2 INT, INTVX, RISCH, SIGMA SIGMAVX ............. 11-3 .............................................. 11-4

.....................................................................11-5 TAYLR, TAYLR0 SERIES.................................... 11-5

.......................................................11-7 11.

.............................................................11-1

. TOC-7

.................................................................11-1 ......................................................11-2

12. ..................................................................................12-1 ............................................................................12-1 .......................................................................................12-1 ......................................................12-2

14. CALC/DIFF......................................................................14-1 .........................14-1

LDEC ...............................................................14-2 DESOLVE .........................................................14-3 ODETYPE....................................................14-3

.......................................................14-4 ...................................................................................14-5

.............................................................................14-6 FOURIER ..........................................................14-6 ..............................14-6

......................................................14-8 15.

MTH/PROBABILITY, 1.......................................15-1, ...........................15-1 ..........................................................15-2

MTH/PROB, 1........................................................15-2 ...........................................15-3t- ............................................15-4 -..............................................15-4F- ...........................................................15-4

......................................................15-4 16.

............................................................................16-1 ...............................16-1

. TOC-8

..........................................................16-1 ...................................16-2 y = f(x) ............................16-5 ....................16-6 ......................................................16-8 ...................................................................16-10 .....................................................16-11

17. BASE ..............................................................................17-1 ............................17-1 .......................................................17-1

18. SD- SD-...........................................18-1 SD- .....................................................18-1 SD- ...............................................18-1 SD-...........................................18-2 SD-...................................................18-2 SD- .................................................18-4 SD- .18-4 SD-...............................................18-4

19. .......................................................19-4 ........................................................... W-1 ............................................................. W-2 ................................ W-5 .............. W-8

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x + iy . z = (x,y). , ( )

z = rei = rc1s + i rsi4, r = |z| = yx z, = Arg(z) = arcta4(y/x) z.

: ei i = c1s + isi4. - (z = x + iy= re i) z = x iy = re i . - i z (x). , z, z = x iy = re i, z .

CAS:

H

. 4-2

CAS MODES( CAS) _Complex( ):

, .

x+iy (x,y). , . . (x,y). , ALG (F.5, 1.E) :

3.5\(.)` , x+iy. , ALG F.51.Ei ( ):

3.5-(.)*`

. t , ( I).

RPN :

3.5(.)\`( , 1.2 ALG).

. 4-3

t 3.51.2i, , , ( CYLIN). (N). , H. RPN :

3.7, 0.33029. ().t () , RECT ( , N). z = rei. (r, ). () ~6. , z = 5.2e1.5i ( RPN ):

() , , . . x = r c1s , y = r si4 , (0.3678, 5.18). , ( CYLIN), (x,y), x y , . ,

. 4-4

, (3.,2.). RPN :

(+-*/). , iE= 1. . , ALG CAS Complex ( ), :

(3+5i) + (63i) = (9,2);(52i) (3+4i) = (2,-6)(3i)(24i) = (2,-14);

(52i)/(3+4i) = (0.28,1.04)1/(3+4i) = (0.12, 0.16) ;

(53i) = 5 + 3i

CMPLX CMPLX ( ). MTH (. 3), (). CMPLX .

CMPLX, MTH 117 (. 2) CHOOS" 9oxes ( ), CMPLX ( ) MTH () : 9. :

. 4-5

( 16) :RE(z) IM(z) CR(z)

RC(x,y) (x,y)

x yABS(z) ARG(z) SIGN(z)

z/|z|NEG(z) zCONJ(z) - z

. , ALG , RPN , . , , , 117 (. 2).

. 4-6

CMPLX, CMPLX (, . . . 117 CHOOSE b1xes ( ), CMPLX :

, ARG, ABS, CONJ, IM, NEG, RE SIGN. , i, .

, MTH, 3 ( SQ, LN, ex . .), . , .

. 4-7

. . , , , .

DROITE: DROITE (, x1 + iy1 x2+iy2) (y = a + bx), (x1, y1) (x2, y2). , , A(5, 3) B(6, 2), ( ):

. 4-8

DROITE (N). , Y = 5.*(X5.)3.

. 4 .

. 5-1

5 , , . : t: 12.3, 15.2_3, }~, }e~, }i~ :

}a~, }ux~, }width~ . .

: }2*D^2/4~, ~f*(L/D)*(V^2/(2*g))~ : }2*V = 4*R*T~, }Q=(Cu/4)*A(y)*R(y)^(2/3)*S1~

1 (EQW). , }*D^2/4~ 1, :

*~dQ)/4` , . 2. :

`, ( ALG RPN ):

. 5-2

, , , ( ), (, , , . .), . t , , }*R^2~ }g*t^2/4~ A1 A2( . 2). A1 ALG:

*~rQ)K~a(` :

RPN :~r`)Q*~a(K

A2 :

. 5-3

ALG , ( J, ):

+ ` - `

*` / `

RPN :

+ - * /

ALG ALG () ( 4). 117 CHOOS" 9oxes ( ), ALG :

. 5-4

, : IL`. t , . , COLLECT, ~c, (), COLLECT . . COLLECT:

, See: EXPAND FACTOR, EXPAND FACTOR. ( EXPAND) ( FACTOR). EXPAND, FACTOR:

. 5-5

. , EXPAND ( `, ):

, ALG. .

, SUBST CAS :

. , RPN . , TEXPAND RPN :

+~x+~y` TEXPAND ALG( N), .

. 5-6

, (m), (n).

m :

. , EXPLN, .

TRIG, n, :

. 5-7

, . , ACOS2S (ac1s(x)) (asi4(x)). (IL). TRIG .

ARITHMETIC ARITHMETIC () ( (). 117 CHOOS" 9oxes ( ), :

59 (!IVIS, FACTORS, LGC!, PROPFRAC, SIMPE) , , . (1. INT"G"R, E. POLYNOMIAL, F. MO!ULO 4. P"RMUTATION)

. 5-8

, . 117 SOFT menu ( ), ARITHMETIC () :

FACTORS SIMP2 ARITHMETIC (IL):

FACTORS: SIMP2:

, INTEGER, POLYNOMIAL, MODULO PERMUTATION ARITHMETIC, 5 . .

, . , }X^3+2*X^2-3*X+2~ X, }SIN(X)^2-2~ SIN(X). COLLECT EXPAND, , . , , .

HORNER HORNER (, POLYNOMIAL, HORNER) ( ) P(X) (Xa), . . HORNER(P(X),a) = {Q(X), a, P(a)}, P(X) = Q(X)(Xa)+P(a). :

. 5-9

HORNER(}X^3+2*X^2-3*X+1~,2) = {X^2+4*X+5 2 11}. . X3+2X2-3X+1 = (X2+4X+5)(X-2)+11. :

HORNER(}X^6-1~,-5)={X^5-5*X^4+25*X^3-125*X^2+625*X-3125 -5 15624}

. . X6-1 = (X5-5*X4+25X3-125X2+625X-3125)(X+5)+15624.

VX X. , {HOME CASDIR} VX, }X~. . VX , VX CAS. CAS . C .

PCOEF PCOEF . . :

PCOEF([-2, 1, 0 ,1, 1, 2]) = [1. 1. 5. 5. 4. 4. 0.] X6-X5-5X4+5X3+4X2-4X.

PROOT PROOT . , X25X+6 =0, PROOT([1, 5, 6]) = [2. 3.].

QUOT REMAINDER QUOT REMAINDER Q(X) R(X), P1(X) P2(X). , Q(X) R(X) P1(X)/P2(X) = Q(X) + R(X)/P2(X). :

. 5-10

QUOT(}X^3-2*X+2~, }X1~) = }X^2+X1~REMAINDER(}X^32*X+2~, }X1~) = 1.

, : (X32X+2)/(X1) = X2+X1 + 1/(X1).

. PARTFRAC:PARTFRAC(}(X^3-2*X+2)/(X-1)~) = }X^2+X-1 + 1/(X-1)~.

PEVAL PEVAL

2(x) = a4x4+a4-1x 4-1+ + a2x2+a1x+ a0, [an, an-1, aE, a1, a0] x0. p(x0). PEVAL ARITHMETIC, CALC/DERIV&INTEG. : PEVAL([1,5,6,1],5) = 281. 5 .

EXPAND FACTOR ALG (). :EXPAND(}(1+X)^3/((X-1)*(X+3))~)=}(X^3+3*X^2+3*X+1)/(X^2+2*X-3)~EXPAND(}(X^2)*(X+Y)/(2*X-X^2)^2)~)=}(X+Y)/(X^2-4*X+4)~FACTOR(}(3*X^3-2*X^2)/(X^2-5*X+6)~)=}X^2*(3*X-2)/((X-2)*(X-3))~FACTOR(}(X^3-9*X)/(X^2-5*X+6)~ )=}X*(X+3)/(X-2)~

SIMP1 SIMP2 ARITHMETIC , , . :

SIMP2(}X^3-1~,~X^2-4*X+3~) = {}X^2+X+1~,}X-3~}

. 5-11

PROPFRAC PROPFRAC , . . , . :

PROPFRAC(}5/4~) = }1+1/4~PROPFRAC(}(x^2+1)/x^2~) = }1+1/x^2~

PARTFRAC PARTFRAC , . :PARTFRAC(}(2*X^6-14*X^5+29*X^4-37*X^3+41*X^2-16*X+5)/(X^5-7*X^4+11*X^3-7*X^2+10*X)~) = }2*X+(1/2/(X-2)+5/(X-5)+1/2/X+X/(X^2+1))~

FCOEF FCOEF, ARITHMETIC/POLYNOMIAL, .

. F(X) = N(X)/D(X), , N(X) = 0, D(X) = 0.

, (. . ), , . , 2 1, 0 3 5 2 1 2 3 5, :FCOEF([2,1,0,3,5,2,1,2,3,5])=}(X--5)^2*X^3*(X-2)/(X-+3)^5*(X-1)^2~ 6` ( RPN), :

}(X^6+8*X^5+5*X^4-50*X^3)/(X^7+13*X^6+61*X^5+105*X^4-45*X^3-297*X62-81*X+243)~

. 5-12

FROOTS FROOTS ARITHMETIC/POLYNOMIAL . , FROOTS [1 2. 3 5. 0 3. 2 1. 5 2.]. , , , . (1, 3) (2,5) (0, 2, 5) (3, 1, 2) . : FROOTS(}(X^2-5*X+6)/(X^5-X^2)~) = [0 2. 1 1. 3 1. 2 1.], . . = 0 (2), 1(1), = 3(1), 2(1). , :

[0 2. 1 1. ((1+i*3)/2) 1. ((1i*3)/2) 1. 3 1. 2 1.].

CAS Ste2/ste2 ( ), . .

5

XXXX

C . ( DIV2 ARITH/POLYNOMIAL):

9

XX

. 5-13

, . 5 .

. 6-1

6 7 (p) (q). .

Sy3b1lic S1lver( ). p. 117 CHOOSE b1xes ( ), :

ISOL SOLVE . SOLVEVX , CAS VX ( }X~). , ZEROS .

ISOL ISOL(, ) () . , ALG, t at3bt = 0, :

. 6-2

RPN , , ISOL. ISOL RPN , . ISOL .

ISOL , , . , ALG :

. t (=) , ( \).

RPN ( RPN ISOL):

. 6-3

SOLVE SOLVE , ISOL, SOLVE . SOLVE X^4 1 = 3:

SOLVE ALG RPN ( CAS ):

. , 45 =125, SOLVE { }. , 45 = 6, SOLVE , . , . t , () ( , ).

. 6-4

RPN SOLVE .

SOLVEVX SOLVEVX CAS, VX. }X~. ALG VX = }X~ :

SOLVEVX . SOLVEVX , X = 2. RPN ( SOLVEVX):

. 6-5

ZEROS ZEROS , . , . ALG:

t ZEROS RPN, , , , ZEROS. RPN ZEROS ( CAS ).

( ). , .

. t , (NUM.SLV)

. 6-6

q. :

F. Solve poly( ), 5. Solve finan:e ( ) 1. Solve equation ( ). 1-A . 6. MSLV ( ) . 6-10.

1. , NUM.SLV, . , .2. NUM.SLV .

Solve poly ( ) :(1) ;(2) ;(3)

X.

anxn + an-1xn-1 + + a1x + a0 = 0. , : 3s4 + 2s3 s + 1 = 0.

. 6-7

: [3,2,0,1,1]. t , :q S1lve 21ly

( ).3)0

.(\( .

:

. 6-8

`, . ALG ( RPN ):

: (0.432, 0.389), (0.432, 0.389), (0.766, 0.632), (0.766, 0.632).

, , [1, 5, 2, 4]. t , :q S1lve 21ly

( ).(5 .)\4

.

`, . .

, .

, . CAS X.

. 6-9

. , [1,5,2,4]. :q S1lve 21ly

( ).(5

.)\4

.

` .

: 'X^3+5*X^2+-2*X+4' . , [1, 3, 2, 1]. :q S1lve 21ly

( ).(3 .)\(

.

` .

:'(X-1)*(X-3)*(X+2)*(X-1)'.

t , EXPAND. : 'X^4+-3*X^3+ -3*X^2+11*X-6'.

5. Solve finan:e ( ) (NUM.SLV) , , . ( 9).

. 6-10

. 6 .

NUM.SLV NUM.SLV 1. Solve equation( ), , . exsin(x/F) = 0. . ALG :

~x-]*~x/30

K~e~q`

STEQ STEQ EQ. , :

RPN , , STEQ. , STEQ EQ. J, EQ:

. 6-11

Solve equation( ), q. :

, EQ, "q SOLVE EQUATION ( ). , x. t , X . , X: 4.5006E-2:

, . , , X 3\ . X: 3.045.

MSLV MSLV q. MSLV .

. 6-12

, MSLV :1. }[SIN(X)+Y,X+SIN(Y)=1]~2. ,

}[X,Y]~3. (

X Y ).

ALG , , `, . t , , ():

RPN :

MSLV :

, .

. 6-13

MSLV , . : X = 1.8EF8, Y = 0.9681.

. 6 7 .

. 7-1

7 , . . (. 1).

t ALG, , , (). t {1.,2.,3.,4.} L1, :

()34K~l(`

RPN :

(#)#3#4`~l(`K

:

L2 = {3.,2.,1.,5.} L3 = {6.,5.,3.,1.,0.,3.,4.} L4 = {3.,2.,1.,5.,3.,2.,1.}

(\) . :

. 7-2

, , , :

, :

, ( ). :

, . :

L4/L3 , L3 , .

. L4 L3 , . t , ( ) Exact ():

. 7-3

, , I4valid Di3e4si14s ( ). , L1L4. (+) , , . :

ADD. (N). ADD L1 L2:

, , (ABS, ex, LN, 10x, LOG, SIN, x2, , COS, TAN, ASIN, ACOS, ATAN, yx), MTH/HYPERBOLIC (SINH, COSH, TANH, ASINH, ACOSH, ATANH) MTH/REAL (% ..). :

ABS INVERSE (1/x)

. 7-4

, L1 ADD i*L2. RPN , L1 i L2 ADD *. :

, LN, EXP, SQ . .:

SIN ( Exact () . 1):

MTH/LIST MTH , . 117 CHOOSE b1xes ( ), MTH/LIST :

. 7-5

117 SOFT 3e4u( ), MTH/LIST :

MTH/LIST :LIST:

.LIST: .LIST: .SORT: .REVLIST: .ADD:

( ).

ALG :

. 7-6

SORT REVLIST , :

RPN , . , L3, :

l3`! L3 , LIST MTH.

SEQ SEQ, (N), , , , , . :

SEQ(, , , , ):

{12, 22, 32, 42}.

MAP MAP, (N), f(X) , . , MAP SIN(X) {1,2,3}:

. 7-7

ALG :~~map~!!(@)@3

@]~-` RPN :!(@)@3`]~-`~

~map` MAP ( ), CAT.

, . 8 .

. 8-1

8 , 2 3 .

, , -. ( *). : - )*

ALG, () , (). , . `. .

RPN , (), (#). ,

. 8-2

` .

. :

Y2 = , Y3 = , Z2 = , Z3 = , , . ALG:

RPN ( K):

. u2, v2 . . RPN (}) . , , ALG. , , .

(MTRW) , ( ). , ( 9). .

. 8-3

. :

. . . , . . , . , - `. . . , `. .

3`5`)`` ( ). , . , .

L, . :

, , , .

. 8-4

, . , , , . , . . , .

L , , ().

, .

t , :(1) . ,

.(2) :

(`)`3`L ) ( 4`5`6`7`8`9`

(3) , . . .

(4) . , .

(5) . .(6) .

.(7) 3 3

(3,3). (8) . (3,3)

, . `, . 9, . . (3,3),

. 8-5

.

t , u2, u3, v2 v3, . , A=[-1,-2,-3,-4,-5].

t , \, :

, - .

:

. 8-6

:

(ABS) . , )*, )*, )* :

MTH/VECTOR MTH () , :

VECTOR () ( , 117 CHOOSE b1xes ( )):

. 8-7

, , ABS. , (). ABS .

DOT ( 2 ) . DOT A, u2, u3, v2 v3 ALG. :

CROSS ( 3 MTH/VECTOR) , . [Ax, Ay], [Ax, Ay,0]. ALG. , , z, [0, 0, Cz]:

. 8-8

.

, 2 3, :

, , . 9 .

. 9-1

9 , .

: .

, (. 8), . :

,5.01.028.29.13.00.22.45.2

. , . :).5\`4.)`)`.3`(.9`).8`)`.(\`.5`

:

` , . ALG `.

. 9-2

( H Textbook), , . :

RPN .

:).5\4.)).3(.9).8).(\.5` , , () (). , (.). A, . ALG K~a, RPN ~aK.

. 9-3

, , . , . . .

t , . A22, B22, A23, B23, A33 B33 (, , ):

RPN :` `K ` `K` `K ` `K` `K ` `K` `K ` `K

. 9-4

, ( ALG).

RPN :` `+ ` `-` `+ ` `-` `+ ` `-` `+ ` `-

, . .

.

. 9-5

, . .

, . , .

C34 = A32B24. , , . , cij, :

.,,,;,,,,

njmiforbacp

kkjikij

, . . AB BA. , . , .

. 9-6

HADAMARD. , , . (N) MATRICES/OPERATIONS (). HADAMARD :

, . B22 :

, :

: [ ] Q [ ] `. RPN : [ ] [ ]Q`.

. 9-7

: AI = IA = A. t , . IDN ( MTH/MATRIX/MAKE):

A A-1 : AA-1 = A-1A = I, I , A. INV ( .). , .

t , :

. 9-8

( NORM ) NORM () . 10 . .

DET DET . :

TRACE TRACE , , :

n

iiiatr

)(A

:

. 9-9

n m :

a11x1 + a12x2 + a13x3 + + a1,3-1x 3-1 + a1,3x 3 = b1,a21x1 + a22x2 + a23x3 + + a2,3-1x 3-1 + a2,3x 3 = b2,a31x1 + a32x2 + a33x3 + + a3,3-1x 3-1 + a3,3x 3 = b3,. . . . . .a4-1,1x1 + a4-1,2x2 + a4-1,3x3 + + a4-1,3-1x 3-1 + a4-1,3x 3 = b4-1,a41x1 + a42x2 + a43x3 + + a4,3-1x 3-1 + a4,3x 3 = b4.

A43x31 = b41, :

mnnmnn

m

m

aaa

aaaaaa

A

,

mmx

xx

x

,

nnb

bb

b

. q. (. ) 4. Solve lin sys ( ) . ( ):

. 9-10

t Ax = b, A [[ a11, a12, ], [.]] A. , b B. X . , x X. , 1. .

2x1 + 3x2 5x3 = 13,x1 3x2 + 8x3 = -13,2x1 2x2 + 4x3 = -6,

Ax = b,

.6

,,485

bxA and

xxx

. . (x1, x2, x3), .

t A, A . A , A ( ` ):

, B. b - , . . .

. 9-11

A b X , :

.

Ax = b, A , : x = A-1 b. ( A b):

, / , b A x Ax = b. b A .

. 9-12

( A b):

, . 10 11 .

. 10-1

10 . , , , , .

t , , (). , RPN . 2D/3D PLOT SETUP ( ), TYPE ().

, TYPE Fun:tion (). . t , . ( , ).

. 10-2

y = f(x) :

)

exp()(

xxf

PLOT SETUP ( ), . , TYPE Fu4cti14, (INDEP) }X~. L, . PLOT SETUP :

PLOT (), x( RPN ). , . Y1(x) = . , :

. 10-3

`, . }Y1(X) = EXP(-X^2/2)/(2*)~ . L, .

PLOT WINDOW ( ), y ( RPN ). 4 4 ( H-VIEW), , (V-VIEW). PLOT WINDOW :

: (, ).

t , L .

t , LL.

. () . . , : x = 1.05 , y = 0.0231; x = 1.48 , y = 0.134. .

. 10-4

t PLOTWINDOW, L. L .

z() {(), RPN, . Y(X) = X/ (X+10) 5 < X < 5. : f(x) x

5 5 0.5. , PLOT SETUP ( RPN ) FUNCTION. Type . FUNCTION, FUNCTION, .

, EQ, : }X/(X+10)~. `.

t , PLOT SETUP, L. .

Table Set-u2 ( ), z (. . ) RPN . (Start) (Step). : 5\0.5 0.5 (. . Z113 fact1r( ) 0.5). Small Font ( ) . . .

t , {(. . ) RPN .

. 10-5

x = 5, 4.5, f(x), Y1. . , x . , x = 5.

, :

.

. (.) In (t),

Out (), !e:imal (), Integer () Trig(). : , In (t) ,

. , x 0.25 0.5. , 0.5, , 0.5, , 0.25. , , x .

t , 0.5, , In . x 0.125.

t x, , Un-zoom( ). u x 0.25.

t x (0.5), Un-zoom Zoom out ( ), .

Deci3al () x, 0.10.

. 10-6

I4teger () x, 1.

Trig () , .

t , `.

, z = f(x,y). , z = f(x,y) = x2+y2, :

( RPN ), PLOT SETUP ( ).

TYPE Fast3D. ( , FastF!, ).

}X^2+Y^2~ . , (Indep)

}X~, (Depnd) }Y~.

L, .

y ( RPN ), PLOT WINDOW ( ).

, :

X-Left:-1 X-Ri&'t:1Y-Near:-1 Y-Far: 1Z-Low: -1 Z-Hi&': 1Step Indep: 10 Depnd: 8

. 10-7

. Ste2 I4de2 De24d , . t , ; , . , 10 8.

, . . () . . . :

, . , PLOT

WINDOW ( ). : Step Indep:

20 Depnd: 16 ,

. :

, . , PLOT

WINDOW.

. 10-8

$ L, .

z = f(x,y) = si4 (x2+y2) ( RPN ),

PLOT SETUP ( ). }SIN(X^2+Y^2)~ . , .

L , .

LL, EDIT().

PLOT WINDOW. $ L, .

. 12 22 .

. 11-1

11 , , , , . .

CALC , , CALC (t ), ( 4):

, : (1) ; (2) ; (3) ; (4) . (1) (2). DERVX INTVX . 11-3.

( ) . . .

lim lim, . , , ,

. 11-2

. lim (N~l) 2. LIMITS & SERIES ( ) CALC (. ). lim ALG ))**,

)(lim xfax . RPN , }x=a~, li3. ALG, . 0, . . .

+0 0. +0 , 0 . , 1x x 1 , ( ALG):

N~lR!--(@-@(+0`

:

. 11-3

DERIV DERVX DERIV , DERVX CAS VX ( }X~). DERIV.&INTEG ( ) CALC (), DERVX CALC. DERIV , f(t), , t, DERVX VX. ALG. , RPN .

f(x) F(x), f(x) = dF/dx. , . .

CxFdxxf )()( , f(x) = dF/dx, C = .

INT, INTVX, RISCH, SIGMA SIGMAVX INT, INTVX, RISCH, SIGMA SIGMAVX. INT, RISCH SIGMA , INTVX SIGMAVX CAS VX ( }x~). , INT RISCH , . INT x, . INTVX

. 11-4

SIGMAVX , VX. INTVX, RISCH, SIGMA SIGMAVX CALC/DERIV&INTEG, INT . ALG ( ):

, SIGMAVX SIGMA , , (!) . , . . , .

(a,b), .

: ),()()( aFbFdxxfb

a f(x) = dF/dx.

PREVAL(f(x),a,b) CAS , f(b)f(a) , x VX CAS.

. 11-5

f(x) x=x0 :

)(

)(!

)()(n

no

on

xxnxfxf

, f(4)(x) 4- f(x) x, f(0)(x) = f(x). x0 = 0, .

TAYLR, TAYLR0 SERIES TAYLR, TAYLR0 SERIES , . CALC/LIMITS&SERIES, . TAYLOR0 , . . X = 0, VX ( }X~). 4 , . . 4. :

TAYLR x x = a k, . , TAYLR(f(xa),x,k). :

. 11-6

SERIES , f(x), ( ) } = }, , . SERIES : h = x a, }x=a~, . . h. , , :

1. , . . )(lim xfax

.

2. x = a.3. .4. .- RPN. RPN TAYLR .

:

~!s`!)/-

. 11-7

]~!s`6!

. 13 .

. 12-1

11 t . : .

, . :

$ % $ % )sin()cos(),cos()cos( yxyxy

yyxx

, (DERVX, DERIV, ), 11 ( DERVX CAS VX, }X~). . f(x,y) = x c1s(y) g(x,y,z) = (x2+y2)1/2si4(z).

. 12-2

t f(x,y) g(x,y,z) ALG, : DEF(f(x,y)=x*COS(y)) ` DEF(g(x,y,z)=(x^2+y^2)*SIN(z) `

t , .

, )),(( yxfx

ALG x(f(x,y)) `.

f(x,y) R x-y , f(x,y) R. R R= {a

. 12-3

. 14 .

. 13-1

12 HESS, DIV CURL .

, , :

z

ky

jx

i

, , . .

(x,y,z) , grad . HESS. 4 4 (x1, x2, ,x4) [}x1~ }x2~~x4~]. HESS , H = [hij] = [/xixj], 4 , grad f = [ /x1 /x2 /x4], [}x1~, }x2~,,~x4~]. RPN. (X,Y,Z) = X2 + XY + XZ HESS:

. 13-2

, [2X+Y+Z, X, X]. DERIV :

, F(x,y,z) = f(x,y,z)i + g(x,y,z)c+h(x,y,z)d, , . . FdivF . DIV . , F(X,Y,Z) = [XY,X2+Y2+Z2,YZ], ALG : DIV([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])

F(x,y,z) = f(x,y,z)i+g(x,y,z)c+h(x,y,z)d , . . FF curl . CURL. , F(X,Y,Z) = [XY,X2+Y2+Z2,YZ] : CURL([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z]).

. 13-3

. 15 .

. 14-1

14 () . , . , .

CALC/DIFF DIFFERENTIAL EQNS ( ) CALC () . , 117 CHOOSE b1xes ( ), .

. .DESOLVE:

,

ILAP: , L-1[F(s)] = f(t)LAP: , L[f(t)]=F(s)LDEC:

. 14-2

, , . .

LDEC LDEC ( ), , . : ; . CAS ( X). . RPN. 1 :

d3y/dx3-4(d2y/dx2)-11(dy/dx)+30y = 0. :

` 112` ( ):

cC0, cC1 cC2 . :

y = K1e3x + K2e5x + K3e2x. 2 LDEC:

d3y/dx3-4(d2y/dx2)-11(dy/dx)+30y = x2.

. 14-3

:` 112`

:

:y = K1e3x + K2e5x + K3e2x + (450x2+330x+241)/13500.

DESOLVE DESOLVE ( ), . , , . , DESOLVE . DESOLVE CALC/DIFF. DESOLVE RPN. 1 :

dy/dx + x2y(x) = 5. :

)*21)*` )*` :{}y(x) = (5*INT(EXP(xt^3/3),xt,x)+cC0)*1/EXP(x^3/3)}~ } :

$ %.)3/ex2()3/ex2(5)( 033 Cdxxxxy ODETYPE , (ODETYPE). DESOLVE , , DESOLVE. ,

. 14-4

1st order linear ( ). 2 . :

d2y/dt2 + 5y = 2 c1s(t/2), :

y(0) = 1.2, y~(0) = -0.5. :

[}d1d1y(t)+5*y(t) = 2*COS(t/2)~ }y(0) = 6/5~ }d1y(0) = -1/2~] `}y(t)~ `

DESOLVE , , . . }y(0) = 6/5~ }y(0)=1.2~ }d1y(0) = --1/2~ }d1y(0) = --0.5~. .

. Q (. 5).

, . :

. .}y(t) = -((19*5*SIN(5*t)-(148*COS(5*t)+80*COS(t/2)))/190)~.

``J, , Linear w/ cstcoeff ( ).

f(t) F(s) , f(t) . :

. 14-5

1. f(t) .

2. F(s) .

3. -, 2, f(t), .

LAP ILAP, f(VX), VX CAS ( X). X. LAP ILAP CALC/DIFF. RPN, ALG. 1. t , })*~` RPN ))** ALG. , , ( RPN, ALG).

, :

,)()()( dtetfsFtfL st

, CAS ( X) s . , LAP X, f(X).

. 14-6

2. F(s) = si4(s). :

}1/(X+1)^2~`ILAP }Xe-X~, , L -1{1/(s+1)2} = xe-x.

:

nn T

tinctf ),exp()(

Tn ndttTnitf

Tc

.,...,,,,,...,,)exp()(

FOURIER FOURIER c4 f(t) 4. FOURIER (T) T- PERIOD CAS. FOURIER DERIV CALC ().

c0, c1 c2 g(t) = (t--1)2+(t--1) T = 2. ALG, f(t) g(t):

CASDIR HOME, PERIOD:() `J`)K`

. 14-7

, f g, . , CAS (. 2). COLLECT ALG ().

, c0 = 1/3, c1 = ( i+2)/2, c2 = ( i+1)/(22). :

g(t) Re[(1/3) + ( i+2)/2ex2(i t)+ (i+1)/(22)ex2(2i t)].

. 14-8

, , . 16 .

. 15-1

15 , .

MTH/PROBABILITY, 1 MTH/PROBABILITY (/) . 117 CHOOSE b1xes ( ), PROBABILITY :

COMB, PERM, ! () RAND.

, 4 4! = 4(4-1)(4-2)321. 0! = 1. . , r 4 :

)!/(!))...()(( rnnrnnnnrn P , r 4 , :

)!(!!

!))...()((

rnrn

rrnnnn

rn

. 15-2

, COMB, PERM ! MTH/PROBABILITY. . COMB(4,r): r

4 . PERM(4,r): r

4 . 4!: .

, x! (x+1), (x) - (. 3). (!) ~).

.

, 0 1. RAND MTH/PROBABILITY. , RAND. (. , , .)

. 17 . , 17 RDZ, .

. 15-3

MTH/PROB, 1 , , : , t- , - (2) F- ( ). NDIST, UTPN, UTPT, UTPC UTPF. MTH/PROBABILITY, . t , MTH () PROBABILITY():

NDIST UTPN 2.t () , NDIST(, 2, x). , , NDIST(1.0, 0.5, 2.0) = 0.20755374. . , UTPN, , . . UTPN(, , x) = P(X>x) = 1 P(X

. 15-4

t- t- ( t-) , . () t- UTPT, t, . . UTPT(,t) = P(T>t) = 1P(Tx) = 1 P(XF) = 1 - P(

. 16-1

16 , ( 5):

1, 2 4 DAT. , (), STO DAT.

, (. 8 9 ) DAT:

2.1 1.2 3.1 4.5 2.3 1.1 2.3 1.5 1.6 2.2 1.2 2.5. :

, . (, , , .

. 16-2

) . . , . DAT.

- DAT , 1. Single-Zar ( ). :

DAT , 1 ( DAT ). , , (Mea4 , Std Dev , Varia4ce , T1tal , Maxi3u3 Mi4i3u3 ). , . . :

SINGLE-V5RI56LE ST5TISTI7S ( )

. 16-3

Type () Population(). , 4, (41). P12ulati14 Ty2e :

2. FreqYencie (t ) STAT . - DAT. t , . :DAT: Col: DAT,

X-Min: ,

( 6.5).

Bin CoYn: , ( 13).

Bin Widh: ( 1).

. 16-4

4 {x1, x2, , x4}, , , , . 2. FreqYencie (t ) STAT , ( ). , , 200 , RANM({200,1}) DAT STO(. ). , . :

, 9 9. (8, 8), 8 2 .

2. FreqYencie, . DAT, C1l 1, DAT .

X-Mi4 8, Bi4 C1u4t 8, Bi4 Width 2, .

RPN - 2 - 2 1. 1 , , . [14. 8.], , DAT 14 8, 8 8. ,

.

. 16-5

. : 8 6, 6 4, , 4 6 6 8, . . 8 - , ( ):

23, 22, 22, 17, 26, 15, 20, 33. , 23 [8,6], 22 [6,4], 22 [4,2], 17 [2,0], 26 [0,2], 15 [2,4], 20 [4,6] 33 [6,8]. , , (14 8), , . . 200.

y = f(x) i. Fi daa ( ), STAT, , , (x, y), DAT. DAT .

, , .

x y0 0.51 2.32 3.63 6.74 7.25 11

DAT STO.

t i. Fi daa, .

. 16-6

DAT. :

t , . ( RPN:

3: '0.195238095238 + 2.00857242857*X'2: 7orrelation: 0.9837814244651: 7ovariance: 7.03

3 . 2 , 1 x-y. . 18 . . 18 .

j. SYmmary a ( ) STAT . t , , . :

. 16-7

DAT: .X-Col, Y-Col: , x y.

, DAT . x 1, y 2. , X-Col: 1.

_X _ Y: , , .

(x, y), y = f(x). , i. Fi daa ( ). x-y, DAT.

t SYmmary a ( ),

, x- y, . . X-C1l: 1 Y-C1l: 2.

, . . _X, _Y . .

. 16-8

, :

6. Conf InerZal ( ) , . :

:1. Z-INT: 1 .:

.

2. Z-INT: .: 12 , .

3. Z-INT: 1 2.: 2 .

4. Z-INT: 22.: 2122 .

5. T-INT: 1 .: .

. 16-9

6. T-INT: .: 12 .

1. , 60 x = 23.3, s = 5.2. = 0.05. C = 1 = 0.95. 1 , . :

, , . . , . .t , . :

. 16-10

, :

, z, (23.3) (21.98424 24.61576). , , () , . . . 18 .

, (, ). , . .

5. Hypoth. tests ( ), .

, 6 :

. 16-11

, .1. Z-Test: 1 .:

.

2. Z-Test: .: 12 , .

3. Z-Test: 1 2.: 2 .

4. Z-Test: 2 2.: 2122 .

5. T-Test: 1 .: .

6. T-Test: .: 12 .

1. 0 = 150, = 10, x = 158, 4 = 50 = 0.05 H0: = 0, H1: 0. , . , 1. Z-Test: 1 . :

. 16-12

:

150 . :

, H0: = 150 H1: 150. z z0 = 5.656854. P 1.5410-8. z/2 = 1.959964, x, {147.2 152.8}. , :

, , . 18 .

. 17-1

17 ( 10, 09), ( 2, 0,1), ( 8, 07), ( 16, 09, AF) . , 321 3x102+2x101+1x100, 100110 :

1x25 + 0x24 + 0x23 + 1x22 + 1x21 + 0x20 = 32+0+0+4+2+0 = 38.

BASE BASE () ( 3). 117 CHOOSE b1xes ( ) (. 1 ), :

117 SOFT 3e4u( ), BASE :

, LOGIC, BIT BYTE BASE . 19 .

. 17-2

t , , # (). t , , BASE HEX (u), DEC (), OCT () BIN (). , , #53, #A5B . . , .

t , #, h (), d(), 1 () b (). :

HEX DEC

OCT BIN

. 19 .

. 18-1

18 SD- , - SD . SD- 3.

SD- SD- . SD- . , . HP 50g , SD- (. . ). , , . .t SD-, , . , .

SD- SD- , HP 50g. HP 50g FAT16 FAT32.SD- , . (. ) , .

. SD- .

. 18-2

1. SD- (. ).2. , , .

, . .

3. 9, 2, 1. .

4. , FORMAT FINISH PRESS ENTER TO EXIT ( , ENTER ). ` , . $, , , $.

SD . ( FAT32.)

SD- SD- , 0, 1 2. , 3 LIB (@). SD- (File Ma4ager, !). :

SD-, 8.3 (. . 8 , ). , . ( Stri4g ().)

. 18-3

, SD- STO ( ) RCL( ).

SD-t , STO .

: , K, 3 (, ), `.

RPN: , 3 3 (, ), K.

, , SD-, 8 , DOS (. . 8.3) 3 .

SD-t SD- , RCL . :

, 3 (, ), `.

RPN: 3 (, ), .

RCL , , RPN: `RCL. , DOS-, , . , ,

. 18-4

, , . (, ), . , RCL , , 8.3.

SD-t SD-, PURGE . :

I , 3 (, ), `.

RPN: 3 (, ), I .

, PURGE , , 8.3.

SD- SD- , . SD- . , .

SD- , , , SD-. , ( ) SD- , ,

. 18-5

, .

, PROG1 PROGS SD-. , , :

!3~~progs/prog(`K

, , SD- PROGS PROG1.

. PROGS, .

. , :

:3:DIR1/DIR2/DIR3/NAME ~/.

. 19-1

19 . 300 , 15 , 100 . , .

. , , , RPN, 117 . ( 117 .)

. ProjectileMotion ( ). 1.

2 . ( , .)H~f)`G`

E. Motion () .~m`

. 19-2

F. Projectile Motion ( ) , .

4. Pr1jectile M1ti14. (. ).

5. , .( )

.. ,

(R) 65 (0) 50 . (v0) ? , ? , , 30 ? ( .)

. 19-3

1. .

E. , , . ( , x0 y0 .) , . (t , , L.)0 *!!!!!!X0!!!!!+ 0 *!!!!!!Y0!!!!!+ 50 *!!!!!!0!!!!!+L65*!!!!!!R!!!!!+

F. v0. (t , !, , .)!*!!!!!!V0!!!!!+

4. R, 2, , x. , . ( R , .)

. 19-4

@ 2/LL*!!!!!!X!!!!!+

5. y. , ( ) .! *!!!!!!Y!!!!!+

6. (30 ), (v0) R.

30 L *!!!!!!V0!!!!!+! *!!!!!!!!R!!!!!!!+

. 27 .

. W-1

HP 50g. : 12 1. HP , ,

, HP , , . , HP , . , .

2. HP , HP , . , HP , - .

3. HP . HP - , , .

4. HP , ; , , .

5. , (a) , (b) , , , HP, (c) , (d) , , (e) .

. W-2

6. HP . , u , , t t u . , , . ; , , , .

7. , u , , , t. HP , t u , , , t, (t ) t , . , , .

8. , HP, , . HP .

: , , t t, u , t, t , , .

. W-3

+43-1-3602771203 +32-2-7126219 +45-8-2332844

+420-5-41422523

+358-9-640009 +33-1-49939006 +49-69-95307103 +420-5-41422523 +31-2-06545301 +39-02-75419782 +47-63849309 +351-229570200 +34-915-642095u +46-851992065

+41-1-4395358 (. )u +41-22-8278780 (. )

+39-02-75419782 (. )

+420-5-41422523 +44-207-4580161t +420-5-41422523 +27-11-2376200 +32-2-7126219 +420-5-41422523

-

. W-4

+61-3-9841-5211 +61-3-9841-5211

0-810-555-5520 - 3747-7799;

. . 0-800-157751 5258-9922;

. . 01-800-472-6684 0800-4746-8368t 800-360999 9-800-114726 0-800-10111

1-800-711-2884

1-800-999-5105- 1-877-232-0589- 0-800-011-0524

u 1800-HP INVENT (905) 206-4663 1r

800- HP INVENT

. htt2://www.h2.c13.

. W-5

B 15 u (FCC). . , . . , , . - ( , ), , - : ; ; ,

;

.

FCC , , Hewlett-Packard, .

t FCC, , .

. W-6

, FCC, 15 FCC. : (1) ; (2) , , . , , :Hewlett-Packard C132a4yP. O. B1x 692000, Mail St12 530113H1ust14, TX 77269-2000 FCC :Hewlett-Packard C132a4yP. O. B1x 692000, Mail St12 510101H1ust14, TX 77269-2000 HP 281-514-3333t , , .

B , .

AZi CanadienCet a22areil 4u3rique de la classe B res2ecte t1utes les exige4ces du Rgle3e4t sur le 3atriel br1uilleur du Ca4ada. : 73/23/EEC; 89/336/EEC. ( ),

. W-7

, Hewlett-Packard . , :

,

, , (, Bluet11th).

Hewlett-Packard G3bH, HQ-TRE, Herre4berger Strasse 140, 71034 B1ebli4ge4,

(VCCI)B

. W-8

, .

, . . , , .

, , , .