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HP 50g User's Guide Korean
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HP 50g
H 1 HP F2229AA-90016
. www.register.hp.com . Hewlett-Packard Company , ( ) . Hewlett-Packard Company , .
2003, 2006 Hewlett-Packard Development Company, L.P.
Hewlett-Packard Company , , . Hewlett-Packard Company
16399 West Bernardo Drive
MS 8-600
San Diego, CA 92127-1899
USA
1 2006 4
. . . , , // , , , , , , . CAS( ) . CAS( ) () () . , , , , , , . . , USB RS232 . . HP .
TOC-1
1 ........................................................................................................................................................ 1111----1111 ...................................................................................... 1-1
.....................................................................1-1 / .......................................................1-2 .................................................1-2 ..............................................1-3 ........................................................................1-3 TOOL() .......................................................1-3 .....................................................1-4
...................................................................... 1-4 .......................................................................... 1-6
.................................................................1-7 / .........................................1-10
...........................................................1-10 .................................................1-10 ...........................................................1-11 ...........................................................1-12 ..........................................1-13
...............................................................1-14 ...................................................................1-14
CAS ........................................................................... 1-15 CAS .......................................................1-16
................................................................. 1-17 .......................................................1-18 ................................................1-18 .......................................................1-19 EQW( ) .................................1-20
............................................................................................. 1-20
TOC-2
2 .................................................................................................................................................................... 2222----1111 ................................................................................... 2-1 .......................................................................... 2-1
...........................................................2-1 ...........................................................2-4
EQW( ) .................................. 2-5 ...........................................................2-5 ...........................................................2-7
...................................................................... 2-8 HOME() ...................................................2-8 ...........................................................2-9
............................................................................................... 2-9 .........................................................2-9 ............................................................2-10
Algebraic() ............................................2-10 RPN( ) ..................................2-11
.......................................................2-13 Algebraic() ............................................2-13 RPN( ) ..................................2-13 Shift ....................................................2-13 ................................2-14
...............................................................2-14 Algebraic() PURGE() ...........................................................2-14 RPN( ) PURGE() ........................................2-15
UNDO( ) CMD() ..................................... 2-16 CHOOSE() Soft MENU( ) .................... 2-16 ............................................................................................. 2-18
3 .................................................................................................................................................................................... 3333----1111 ................................................................................. 3-1
10 ..............................3-4
TOC-3
MTH() ...................................................... 3-5 .......................................................3-6 ........................................3-6
...................................................................................... 3-7 UNITS() ......................................................3-8 ...........................................................3-9 .....................................................3-10
........................................................3-11 ...............................................................3-11 ...............................................................3-13
.................................................................... 3-13 ...................................................................... 3-15 ............................................................................................. 3-16
4 .................................................................................................................................................................... 4444----1111 COMPLEX() .................................. 4-1
..............................................................4-2 .................................................4-3
....................................................... 4-4 CMPLX() ................................................................... 4-4
MTH() CMPLX() .........4-4 CMPLX() ..........................4-6
............................................................... 4-6 DROITE : ......................................................... 4-7 ............................................................................................... 4-7
5 .................................................................................................... 5555----1111 ............................................................................. 5-1 ................................................. 5-2
ALG() ..............................................5-3 ............................................................... 5-5
- ....................5-5 ...........................5-6
ARITHMETIC() ................................................. 5-7 ........................................................................................... 5-8
TOC-4
HORNER ..........................................................5-8 VX ...................................................................5-8 PCOEF ............................................................5-8 PROOT ............................................................5-9 QUOT REMAINDER ......................................5-9 PEVAL .............................................................5-9
............................................................................................... 5-9 SIMP2 ............................................................5-10 PROPFRAC ....................................................5-10 PARTFRAC ....................................................5-10 FCOEF ...........................................................5-10 FROOTS ........................................................5-11
...................................... 5-11 ............................................................................................. 5-12
6 .................................................................................................................................................................... 6666----1111 ................................................................. 6-1
ISOL ................................................................6-1 SOLVE .............................................................6-2 SOLVEVX .........................................................6-4 ZEROS ............................................................6-4
Numerical Solver( ) .......................................... 6-5 ..............................................................6-6
.........................................6-6 .............6-7 .............................................6-8
..............................................................6-8 NUM.SLV( ) ....................................................6-9
STEQ ...........................................................6-9 MSLV ............................................ 6-10 ............................................................................................. 6-11
TOC-5
7 .................................................................................................................................................................................... 7777----1111 .................................................................... 7-1 ............................................................................. 7-1
.................................................................7-1 , , , .............................................7-2 .................................................7-4
................................................................................... 7-4 ............................................................................. 7-5 MTH/LIST(/) ........................................................... 7-5 SEQ ...................................................................................... 7-7 MAP ..................................................................................... 7-7 ............................................................................................... 7-7
8 .................................................................................................................................................................................................................... 8888----1111 ...................................................................................... 8-1
.......................................................8-1 .........................................8-2 MTRW( ) .......................8-3
............................................................................. 8-5 .................................................................8-5 , ................................................................8-5 / .................................8-6 ..............................................................8-6
MTH()/VECTOR() .................................................. 8-6 ........................................................................8-7 ........................................................................8-7 ........................................................................8-7
............................................................................................... 8-8 9 ............................................................................................................................ 9999----1111
........................................................................ 9-1 Matrix Writer( ) ..................................9-1 ............................................9-2
...................................................................................... 9-3 ............................................................9-4
TOC-6
........................................................................9-4 .....................................................9-4 - .......................................................9-5 .............................................................9-5 .............................................................9-6 ........................................................9-6 .............................................................9-7 ..................................................................9-7
( NORM() ) ...................................... 9-8 DET .................................................................9-8 TRACE ............................................................9-8
............................................................................. 9-9 Numerical Solver( ) ...............9-9 ..........................................9-11 "" .........................................9-11
............................................................................................. 9-12 10 ................................................................................................................................................................................................ 10101010----1111
................................................................. 10-1 y = f(x) y = f(x) y = f(x) y = f(x) .......................................... 10-2 ............................................................... 10-4 3D .............................................................................. 10-5 ............................................................................................. 10-7
11 ............................................................................................................................ 11111111----1111 CALC()...................................................................... 11-1 ........................................................................... 11-1
lim ................................................................11-1 DERIV DERVX ...........................................11-3
........................................................................ 11-3 INT, INTVX, RISCH, SIGMA SIGMAVX ...........11-3 ...................................................................11-4
...................................................................................... 11-5 TAYLR, TAYLR0 SERIES .............................11-5
............................................................................................. 11-7
TOC-7
12 ................................................................................................................ 12121212----1111 ...................................................................................... 12-1 ......................................................................................... 12-2 ............................................................................................. 12-2
13 ........................................................................................................ 13131313----1111 ......................................................................................... 13-1 ............................................................................................. 13-2 (Curl)....................................................................................... 13-2 ............................................................................................. 13-2
14 .................................................................................................................................................................... 14141414----1111 CALC/DIFF(/) ................................................... 14-1 ...................................................... 14-1
LDEC .............................................................14-1 DESOLVE ......................................................14-3 ODETYPE ......................................................14-3
............................................................................. 14-4 .............14-4
(Fourier series) ...................................................... 14-5 FOURIER .......................................................14-5 ..........................................14-6
............................................................................................. 14-7 15 ............................................................................................................................................................................ 15151515----1111
MTH/PROBABILITY..(/..) - 1 ................. 15-1 , ..................................................15-1 ......................................................................15-2
MTH/PROB(/) - 2 ............................................ 15-3 ...............................................................15-3 t ......................................................15-3 .........................................................15-4 F ...................................................................15-4
............................................................................................. 15-4
TOC-8
16 ........................................................................................................................................ 11116666----1111 ................................................................................. 16-1 .................................................................. 16-2 ........................................................................... 16-2 ........................................................................ 16-3 y = f(x) ....................................................... 16-5 ............................................................... 16-6 .................................................................................... 16-7 .................................................................................... 16-9 ........................................................................................... 16-11
17 ................................................................................................................ 17171717----1111 BASE() ........................................................................ 17-1 10 ................................................................. 17-2 ............................................................................................. 17-2
18 SD ................................................................................................................................................ 18181818----1111 SD ............................................................... 18-1 SD ............................................................................. 18-1 SD ............................................................. 18-2 SD ................................................................. 18-2 SD ............................................................. 18-3 SD ............................................................. 18-3 SD ( ) .................................. 18-4 SD ...................................................... 18-4
19 Equation Library ( )............................................................................................................ 19191919----1111
............................................................................................. 19-4 .................................................................................... 19-1 ......................................................................................... 19-3 .................................................................................... 19-5 Disposal of Waste Equipment by Users in Private
Household in the European Union........................................... 19-7
1-1
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. Number format( ) Std() !!@@OK#@ . 123.4567890123456( 16) ` . 12 .
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1-14
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1-15
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1-16
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modulo ( 5 ).
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1-17
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Font() DISPLAY MODES( ) Font(): @CHOOS .
DISPLAY MODES( ) @@@OK@@@ . CALCULATOR MODES( ) . @@@OK@@@ .
1-18
H CALCULATOR MODES( ) . CALCULATOR MODES( ) @@DISP@ DISPLAY MODES( ) . Font(): Ft8_0: system 8 . . @CHOOS .
System Fonts( ) 8, 7, 6 Browse..(..) . Browse..(..) . 7 6 . OK() . @@@OK@@@ CALCULATOR MODES( ) . @@@OK@@@ .
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1-19
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1-20
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3-7
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COSH (2.5) = 6.13228.. ACOSH (2.0) = 1.3169
TANH(2.5) = 0.98661.. ATANH(0.2) = 0.2027
EXPM(2.0) = 6.38905. LNP1(1.0) = 0.69314.
. .
3-8
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3-10
(, (8,5)). 5 N 5_N . 117 CHOOSE() ALG() .
58@@OK@@ @@OK@@ ` : 5*N . N .
RPN( ) .
58@@OK@@ @@OK@@
RPN( ) . SOFT menu( ) . ALG() RPN( ) . ALG() 5_N .
5L @)@FORCE @@@N@@ ` RPN( ) .
5L @)@FORCE @@@N@@
: ~ . 5~n . 5_N
3-11
SI . 10 x .
x x Y yotta +24 d deci -1
Z zetta +21 c centi -2
E exa +18 m milli -3
P peta +15 micro -6 T tera +12 n nano -9
G giga +9 p pico -12
M mega +6 f femto -15
k,K kilo +3 a atto -18
h,H hecto +2 z zepto -21
D(*) deka +1 y yocto -24
(*) SI D da . deka D . ~ . 123pm() .
123~p~m
UBASE( ) (1m) .
ALG() . . 12.5m 5.2 yd (12.5_m)*(5.2_yd) ` .
3-12
65_(myd) . SI UBASE . N .
: ANS(1) ` .
3250 mi / 50 h . (3250_mi)/(50_h)`
UBASE SI .
ALG() . 5 m + 3200 mm .
5_m + 3200_mm `.
. (12_mm)*(1_cm^2)/(2_s) `:
RPN( ) .
12 @@@m@@@ `1.5 @@yd@@ `* 3250 @@mi@@ `50 @@@h@@@ `/
.
3-13
UNITS() TOOLS() . CONVERT()(x,y) x y . UBASE( )(x)
x SI .
UVAL()(x) x . UFACT() (x,y)
x y .
UNIT()(x,y) x y . CONVERT . UNIT/TOOLS 3 . 33 btu .
CONVERT(33_W,1_hp) `
CONVERT(33_W,11_hp) `
CONLIB . ~~conlib` CONLIB . N~c () CONLIB . @@OK@@ . ` . () . CONSTANTS LIBRARY( ) .
SI SI (*). ENGL (*). UNIT (*). VALUE . STK ( /). QUIT .
(*) VALUE() .
3-14
VALUE() (SI ) CONSTANTS LIBRARY( ) . @ENGL .
@UNITS UNITS() . .
Vm @STK @QUIT@ . ALG() .
Vm:359.0394 . Vm . .
2*`
.
RPN( ) . Vm .
2`*
3-15
2 DEFINE . .
Function_name(arguments) = expression_containing_arguments
. H(x) = ln(x+1) + exp(-x)
, . ALG() . .
~h~x
~x+1+~x`
. J (@@@H@@) . @@@H@@ . .
H . >
. UserRPL ( 20 21 ). .
: x x : LN(x+1) + EXP(x)
x ( ) , .
3-16
ALG() . @@@H@@@ 2` . .
RPN( ) @@@H@@@ . 2@@@H@@@ . . 1.2@@@H@@@ , 2`3/@@@H@@@.
3 .
4-1
4 .
z z = x + iy . x y i i = 1 . x + iy x = Re(z) y = Im(z) . z = zx + iy xy P(x,y) . x y . x + iy . z = (x,y) . z = rei = rcos + i rsin ( ). r = |z| =
22 yx + z = Arg(z) = arctan(y/x) z . ei i= cos + i sin . (z = x + iy = re i) z = x iy = re i . i (x) z . z z = x iy = re
i z .
COMPLEX() CAS .
H)@@CAS@ CAS MODES(CAS ) _Complex COMPLEX() .
4-2
@@OK@@ .
, x+iy (x,y) . (x,y) . ALG() (3.5, -1.2) .
3.5\1.2`
x+iy . ALG() 3.5-1.2i ( ).
3.5-1.2*`
: (I ) . RPN( ) .
3.51.2\`
ALG() 1.2 .
4-3
3.5-1.2i CYLIN . (N). H . ( ) RPN( ) .
3.7, 0.33029 . () . RECT ( N) . z = re i . (r, ) . () ~6 . z = 5.2e1.5i . RPN( ) .
(x = r cos , y = r sin ) . (0.3678, 5.18). CYLIN (x,y) (x y ) . (3.,2.) . RPN( ) .
4-4
(+-*/) . , i2= -1 . . ALG() CASComplex() .
(3+5i) + (6-3i) = (9,2);
(5-2i) - (3+4i) = (2,-6)
(3-i)(2-4i) = (2,-14);
(5-2i)/(3+4i) = (0.28,-1.04)
1/(3+4i) = (0.12, -0.16) ;
-(5-3i) = -5 + 3i
CMPLX() CMPLX(CoMPLeX()) . 3 MTH() , () . CMPLX() .
MTH() CMPLX() 117 CHOOSE() (2 ) MTH() CMPLX() 9@@OK@@ . .
4-5
( 1~6) . RECT . RE(z) . IM(z) . CR(z) . RC(x,y) x y (x,y) . ABS(z) . ARG(z) . SIGN(z) z/|z| . NEG(z) z . CONJ(z) z . ALG() , RPN( ) . 117 (2 ) .
4-6
CMPLX() CMPLX() 1 () shift 117CHOOSE() CMPLX() .
(ARG, ABS, CONJ, IM, NEG, RE, SIGN) . i .
3 MTH() (SQ, LN, ex ) . .
: . .
4-7
DROITE : DROITE (x1 + iy1 x2+iy2) (x1, y1) (x2, y2) (y = a + bx) . A(5, -3) B(6, 2) (Algebraic() ).
DROITE (N). APPROX() Y = 5.*(X-5.)-3.
4 .
5-1
5 () , , . . : 12.3, 15.2_m, pi, e, i : a, ux, width : p*D^2/4, f*(L/D)*(V^2/(2*g)), : p*V = n*R*T, Q=(Cu/n)*A(y)*R(y)^(2/3)*So
1 EQW( ) . pi*D^2/4 1 .
*~dQ2/4`
Equation Writer( ) Equation Writer( ) . Equation Writer( ) 2 . Equation Writer( ) .
` . ALG() RPN( ) .
5-2
(0 ), , ( , , , ) . pi *R^2 g*t^2/4 A1 A2 ( 2 ). ALG() A1 . *~rQ2K~a1`
.
RPN( ) .
~r`2Q*~a1K
A2 .
ALG() @@A1@@ @@A2@@ . J .
@@A1@@ + @@A2@@ ` @@A1@@ - @@A2@@ `
5-3
@@A1@@ *@@A2@@ ` @@A1@@ / @@A2@@ `
@@A1@@ @@A2@@
RPN( ) .
@@A1@@ @@A2@@ + @@A1@@ @@A2@@ -
@@A1@@ @@A2@@ * @@A1@@ @@A2@@ / @@A1@@ @@A2@@
ALG() ALG() 4 . 117 CHOOSE() ALG() .
. IL@)HELP@` . . COLLECT ~c COLLECT .
5-4
@@OK@@ . COLLECT .
SEE: EXPAND FACTOR (EXPAND FACTOR ) . EXPAND @SEE1! , FACTOR @SEE2! . @SEE1! EXPAND @SEE2 FACTOR .
@ECHO! . EXPAND @ECHO! . ` .
ALG() . .
5-5
SUBST CAS .
: RPN( ) . TEXPAND RPN( ) .
+~x+~y`
ALG() TEXPAND N .
() () .
- .
5-6
. EXPLN , .
TRIG() .
. ACOS2S (acos(x)) (asin(x)) . (IL@HELP) . TRIG() .
5-7
ARITHMETIC() ARITHMETIC() 1 . 117 CHOOSE() .
5-9(DIVIS, FACTORS, LGCD, PROPFRAC, SIMP2) . (1. INTEGER(), 2. POLYNOMIAL(), 3. MODULO (), 4. PERMUTATION()) . 117 SOFT menus( ) ARITHMETIC() () .
ARITHMETIC() (IL@HELP) FACTORS SIMP2 .
FACTORS: SIMP2:
ARITHMETIC() INTEGER, POLYNOMIAL, MODULO, PERMUTATION 5 . .
5-8
. X^3+2*X^2-3*X+2 X 3 SIN(X)^2-2 SIN(X) 2 . COLLECT EXPAND . .
HORNER HORNER (, POLYNOMIAL(), HORNER) P(X) (X-a) () . , HORNER(P(X),a) = {Q(X), a, P(a)} , P(X) = Q(X)(X-a)+P(a). :
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( CAS )} X VX .VX . CAS VX VX . CAS C .
PCOEF PCOEF . . :
PCOEF([-2, 1, 0 ,1, 1, 2]) = [1. 1. 5. 5. 4. 4. 0.]
X6-X5-5X4+5X3+4X2-4X .
5-9
PROOT ( ) PROOT . : X2+5X+6 =0, PROOT([1, 5, 6]) = [2. 3.]
QUOT REMAINDER QUOT REMAINDER P1(X) P2(X) Q(X) R(X) . , P1(X)/P2(X) = Q(X) + R(X)/P2(X) Q(X) R(X) . :
QUOT(X^3-2*X+2, X-1) = X^2+X-1
REMAINDER(X^3-2*X+2, X-1) = 1
. (X3-2X+2)/(X-1) = X2+X-1 + 1/(X-1)
: PARTFRAC . PARTFRAC((X^3-2*X+2)/(X-1)) = X^2+X-1 + 1/(X-1)
PEVAL PEVAL( ) .
p(x) = anxn+an-1x
n-1+ + a2x
2+a1x+ a0,
[an, an-1, a2, a1, a0] x0 p(x0) . PEVAL ARITHMETIC() . CALC/DERIV&INTEG Menu(/& ) . PEVAL([1,5,6,1],5) = 281 . 5 .
ALG() () EXPAND FACTOR . : 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)
5-10
SIMP2 ARITHMETIC() SIMP2 . :
SIMP2(X^3-1,X^2-4*X+3) = {X^2+X+1,X-3}
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 ARITHMETIC/POLYNOMIAL(/) FCOEF .
: F(X) = N(X)/D(X) N(X) = 0 D(X) = 0 .
( ) ( ) . 1 2, 3 0, 2 -5 2 1, 5 -3 .
5-11
FCOEF([2,1,0,3,5,2,1,2,3,5])=(X--5)^2*X^3*(X-2)/(X-+3)^5*(X-1)^2
` 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)
FROOTS ARITHMETIC/POLYNOMIAL(/) FROOTS . FROOTS [1 2. 3 5. 0 3. 2 1. 5 2.] . . (2, 5) (1, -3), (3, 1, 2) (0, 2, -5). 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). Complex() .
[0 2. 1 1. ((1+i*3)/2) 1. ((1i*3)/2) 1. 3 1. 2 1.].
CAS modes(CAS ) Step/step() . .
2
235 23
+
X
XXX
C . . DIV2 ARITH/POLYNOMIAL(/) .
1
12
9
X
X
5-12
, 5 .
6-1
6 7 Symbolic SOLVer( , ) NUMerical SoLVer( , ) . .
Symbolic Solver( ) . . 117 CHOOSE() .
ISOL SOLVE . SOLVEVX CAS VX( X ) . ZEROS 0 .
ISOL ISOL(, ) . ALG() at
3-bt = 0 t .
6-2
RPN( ) ISOL . ISOL RPN( ) . ISOL .
ISOL . ALG() .
: (=) \ .
RPN( ) . ISOL RPN( ) .
SOLVE SOLVE ISOL SOLVE . SOLVE X^4 1 = 3 .
6-3
ALG() RPN( ) SOLVE (CAS Complex() ).
. 4-5= 125 SOLVE { } . 4 - 5 = 6 SOLVE . . () . .
RPN( ) . SOLVE .
6-4
SOLVEVX SOLVEVX VX CAS . X . ALG() VX = X .
SOLVEVX SOLVEVX X = 2 . RPN( ) . SOLVEVX .
ZEROS ZEROS . . ALG() .
RPN( ) ZEROS
6-5
ZERO . ZEROS RPN( ) (CAS Complex() ).
Symbolic Solver( ) ( ) . Numerical Solver( ) .
Numerical Solver( ) . (NUM.SLV) . .
3. Solve poly..( ..), 5. Solve finance( ) 1. Solve equation..( ..) . 1-A . 6. MSLV( ) 6-10 .
6-6
: 1. NUM.SLV( ) . . 2. NUM.SLV( ) .
SOLVE() Solve poly( ) . (1) . (2) . (3) X .
anxn + an-1xn-1 + + a1x + a0 = 0 . 3s4 + 2s3 - s + 1 = 0 . [3,2,0,-1,1] . . @@OK@@ Solve poly( )
320 1\1@@OK@@ @SOLVE@ .
6-7
` . ALG() . RPN( ) .
. (0.432, -0.389), (0.432, 0.389), (-0.766, 0.632), (-0.766, -0.632)
[1, 5, -2, 4] . @@OK@@ Solve poly( )
15 2\4@@OK@@ @SOLVE@ ` .
.
6-8
. CAS X . . [1,5,-2,4] . . Solve poly( )
15 2\4@@OK@@@SYMB@ ` . 'X^3+5*X^2+-2*X+4'
. [1, 3, -2, 1] . . @@OK@@ Solve poly( )
13 2\1@@OK@@@SYMB@ ` .
'(X-1)*(X-3)*(X+2)*(X-1)'
EXPAND . . 'X^4+-3*X^3+ -3*X^2+11*X-6'
Numerical Solver( , NUM.SLV) 5. Solve finance..() . 9 . 6 .
6-9
NUM.SLV( ) NUM.SLV( ) 1. Solve equation..( ) . . ex-sin(pix/3) = 0 EQ . ALG() .
~x-S
*~x/30
K~e~q`
STEQ STEQ EQ . ALG() .
RPN( ) STEQ . EQ STEQ . J EQ .
SOLVE() @ @OK @ @ Solve equation...( ) . .
6-10
EQ SOLVE EQUATION( ) Eq x . X @SOLVE@ . X: 4.5006E-2 .
. X: . 3\ @@@OK@@ @SOLVE@ X: -3.045 .
MSLV MSLV . MSLV .
MSLV . 1. [SIN(X)+Y,X+SIN(Y)=1] 2. [X,Y] 3. . X Y
0.
6-11
ALG() @ECHO ` . () .
RPN( ) .
MSLV .
. MSLV , . X = 1.8238, Y = -0.9681.
6 7 .
7-1
7 . . Approximate() (1 ) .
ALG() () . {1.,2.,3.,4.} L1 .
1234
K~l1`
RPN( ) .
1#2#3#4`
~l1`K
. L2 = {-3.,2.,1.,5.} L3 = {-6.,5.,3.,1.,0.,3.,-4.} L4 = {3.,-2.,1.,5.,3.,2.,1.}
(\) . :
7-2
, , , .
.
. :
, . :
7-3
L4/L3 L3 0 .
: L4 L3 0 . Exact() .
(Invalid Dimensions( )) . L1-L4 . (+) . :
ADD . (N) . ADD L1 L2 .
7-4
(ABS, ex, LN, 10x, LOG, SIN, x2, , COS, TAN, ASIN, ACOS, ATAN, y
x) MTH/HYPERBOLIC(/)
(SINH, COSH, TANH, ASINH, ACOSH, ATANH) MTH/REAL(/) (% ) . ABS INVERSE(1/x)
L1 ADD i*L2 . RPN( ) L1 i L2 ADD* . .
LN, EXP, SQ .
7-5
SIN . Exact() (1 ).
MTH/LIST(/) MTH() . 117 CHOOSE() MTH/LIST(/) .
117 SOFT menus( ) MTH/LIST(/) .
MTH/LIST(/) . LIST(): . LIST(): . LIST(): . SORT(): . REVLIST( ):
.
ADD(): . .
7-6
ALG() .
SORT() REVLIST( ) .
RPN( ) . L3 .
l3`!#OK# #OK# L3 MTH() LIST() .
7-7
SEQ (N) SEQ , // . .
SEQ(, , , , ) :
{12, 22, 32, 42} .
MAP (N) MAP f(X) . MAP SIN(X) {1,2,3} . ALG() . ~~map~!!1@2@3
@S~X` RPN( ) . !1@2@3`S~X`~
~map`
MAP CAT() .
, 8 .
8-1
8 2 3 .
. * . . [3.5, 2.2, -1.3, 5.6, 2.3] [1.5,-2.2] 2D [3,-1,2] 3D ['t','t^2','SIN(t)']
ALG() () () . . ` , .
RPN( ) () (#) . ` .
8-2
. .
u2 = [1, 2], u3 = [-3, 2, -2], v2 = [3,-1], v3 = [1, -5, 2]
@@@u2@@, @@@u3@@, @@@v2@@, @@@v3@@ . ALG() .
RPN( ) K .
: RPN( ) u2, v2 () . ALG() . .
8-3
MTRW( ) Matrix Writer( ) ( ) . . Matrix Writer( ) 9 . . . .
@EDIT! @EDIT Matrix Writer( )
.
. .
Matrix Writer( ) .
. Matrix Writer( ) .
` . . .
` . .
Matrix Writer( ) Matrix Writer( ) () 3`5`2`` .
. . Matrix Writer( ) L . .
@+ROW@ @-ROW @+COL@ @-COL@ @STK @GOTO@
8-4
@+ROW@ 0 .
@-ROW .
@+COL@ 0 .
@-COL@ .
@STK . @GOTO@
. L @@DEL@ () . @@DEL@ 0 . . (1) Matrix Writer( ) .
. (2) .
1`2`3` L @GOTO@ 2 @@OK@@ 1 @@OK@@ @@OK@@ 4`5`6` 7`8`9`
(3) @-ROW . .
(4) @+ROW@ . 0 .
(5) @-COL@ . . (6) @+COL . 0
. (7) @GOTO@ 3 @@OK@@ 3 @@OK@@ @@OK@@ (3,3) . (8) @STK . (3,3)
. ` . 9, (3,3) .
8-5
u2, u3, v2 v3 . A=[-1,-2,-3,-4,-5] .
\ . .
, .
.
8-6
/ .
(ABS) . ABS([1,-2,6]), ABS(A), ABS(u3) .
MTH()/VECTOR() MTH() () .
VECTOR() ( 117 CHOOSE() ).
8-7
ABS . () . ABS .
DOT ( CHOOSE() ) . A, u2, u3, v2 v3 ALG() DOT . .
CROSS (MTH/VECTOR(/) ) 2D , 3D 2D 3D . [Ax, Ay] 2D 3D [Ax, Ay,0] . 2D 3D ALG() . 2D z , , [0, 0, Cz] .
8-8
3D 2D .
2 3 .
9 .
9-1
9 .
(1) Matrix Writer( ) (2) .
Matrix Writer( ) 8 Matrix Writer( ) . .
,5.01.028.29.13.00.22.45.2
Matrix Writer( ) . . . 2.5\`4.2`2`
.3`1.9`2.8`
2`.1\`.5`
Matrix Writer( ) .
` . ` ALG() .
9-2
Textbook() (H@)DISP! Textbook ) . .
RPN( ) .
. 2.5\4.22 .31.92.8 2.1\.5` () () . (.) . A . ALG() K~a RPN( ) ~aK .
9-3
. . . . . A22, B22, A23, B23, A33 B33. .
RPN( ) . {2,2}` RANM 'A22'`K {2,2}` RANM 'B22'`
K
{2,3}` RANM 'A23'`K {2,3}` RANM 'B23'`K
{3,2}` RANM 'A32'`K {3,2}` RANM 'B32'`K
{3,3}` RANM 'A33'`K {3,3}` RANM 'B33'`K
9-4
(ALG() ) .
RPN( ) 8 . A22 ` B22`+ A22 ` B22`- A23 ` B23`+ A23 ` B23`- A32 ` B32`+ A32 ` B32`- A33 ` B33`+ A33 ` B33`-
. . Algebraic() .
.
9-5
- - . - .
- . .
Cmn = AmpBpn . . cij .
.,,2,1;,,2,1,1
njmiforbacp
k
kjikij KK ====
. , AB BA. . .
9-6
HADAMARD . . catalog (N) MATRICES()/OPERATIONS() () . HADAMARD .
. B22 5 .
.
Algebraic() [ ] Q [ ] `. RPN( ) [ ] [ ] Q`.
9-7
AI = IA = A . . IDN (MTH/MATRIX/MAKE(// ) .
A A-1. AA-1 = A-1A = I. I A . INV(, Y ) . .
.
9-8
( NORM() ) NORM() . 10 . .
DET DET . .
TRACE TRACE ( ) . .
=
=n
i
iiatr1
)(A
:
9-9
m n . a11x1 + a12x2 + a13x3 + + a1,m-1x m-1 + a1,mx m = b1,
a21x1 + a22x2 + a23x3 + + a2,m-1x m-1 + a2,mx m = b2,
a31x1 + a32x2 + a33x3 + + a3,m-1x m-1 + a3,mx m = b3,
. . . . .
an-1,1x1 + an-1,2x2 + an-1,3x3 + + an-1,m-1x m-1 + an-1,mx m = bn-1,
an1x1 + an2x2 + an3x3 + + an,m-1x m-1 + an,mx m = bn.
Anmxm1 = bn1 .
mnnmnn
m
m
aaa
aaa
aaa
A
=
L
MOMM
L
L
21
22221
11211
, 1
2
1
=
mmx
x
x
xM
, 1
2
1
=
nnb
b
b
bM
Numerical Solver( ) . . () 4. Solve lin sys..( ..) @@@OK@@@ . () .
Ax = b A: A[[ a11, a12, ], [.]] . B: b . X: @SOLVE . x X: . 1 . .
9-10
2x1 + 3x2 5x3 = 13,
x1 3x2 + 8x3 = -13,
2x1 2x2 + 4x3 = -6,
Ax = b . .
.
6
13
13
,,
422
831
532
3
2
1
=
=
= bxA and
x
x
x
. . (x1, x2, x3) . A A: Matrix Writer( ) . A Matrix Writer( ) A Matrix Writer( ) ` .
B: . b (: [13,-13,-6] @@@OK@@@). A b X: @SOLVE .
9-11
.
Ax = b( A ) x = A
-1 b. . A b .
"" / b A "" Ax = b x . b A "" . . A b .
9-12
, 10 11 .
10-1
10 . , , , , 3D .
(D) . RPN( ) . 2D/3D TYPE PLOT SETUP( ) .
TYPE Function() . . @CHOOS . . .
10-2
y = f(x) y = f(x) y = f(x) y = f(x) .
)2
exp(2
1)(
2xxf =
pi PLOT SETUP( )
. Function() TYPE X (INDEP) . L@@@OK@@@ . PLOT SET UP( ) .
PLOT() . RPN( ) . @ADD Equation Writer( ) . Y1(x) = . Equation Writer( ) .
10-3
` PLOT - FUNCTION( - ) . Y1(X) = EXP(-X^2/2)/(2*) . L@@@OK@@@ .
PLOT WINDOW( ) . RPN( ) . H-VIEW 4 4 @AUTO V-VIEW . PLOT WINDOW( ) .
: @ERASE @DRAW ( ) : @EDIT L @LABEL @MENU : LL@)PICT : @TRACE @@X,Y@@.
() . . x = 1.05, y = 0.0231 . x = -1.48, y = 0.134 . .
PLOT WINDOW( ) L@CANCL . L@@OK@@ .
10-4
(E) (F) (RPN( ) ) . Y(X) = X/ (X+10) -5 < X < 5 . 5 5 x 0.5 f(x)
. PLOT SETUP( ) FUNCTION (, RPN( ) ). Type() . FUNCTION @CHOOS FUNCTION @@@OK@@@ .
EQ X/(X+10) . ` .
PLOT SETUP( ) L@@@OK@@@ . .
( E) Table Set-up( ) . RPN( ) . (Start) (Step) . . 5\ @@@OK@@@ 0.5 @@@OK@@@0.5@@@OK@@@ (: Zoom = 0.5). Small Font( ) . @@@OK@@@ . .
( F) . RPN( ) . x = -5, -4.5, Y1 f(x) . . x . x , x = 5 .
@ZOOM, @@BIG@ @DEFN . @DEFN . @@BIG@ .
. @ZOOM In(), Out(), Decimal(), Integer(
) Trig() . .
10-5
In() @@@OK@@@ . x 0.5 0.25 . , 0.5 zoom 0.5 0.25 . zoom in() x .
0.5 @ZOOM In() @@@OK@@@ . x 0.0125.
x @ZOOM @@@OK@@@ Un-zoom(/ ) . x 0.25 .
x 0.5 un-zoom(/ ) @ZOOM @@@OK@@@ zoom out() .
@ZOOM Decimal() x 0.10 .
@ZOOM Integer() x 1 . Trig()
. ` .
3D 3D z = f(x,y) 3 . z = f(x,y) = x2+y2 . RPN( )
PLOT SETUP( ) . TYPE() Fast3D . ( @CHOOS , Fast3D
, @@OK@@). X^2+Y^2 @@@OK@@@ . X Indep: , Y Depnd:
. . RPN( )
PLOT WINDOW( ) .
10-6
. X-Left:-1 X-Right:1
Y-Near:-1 Y-Far: 1
Z-Low: -1 Z-High: 1
Step Indep: 10 Depnd: 8
: Step Indep: Depnd: . . . Step 10 8 .
@ERASE @DRAW 3 . . () . . . .
@EXIT . @CANCL PLOT WINDOW( ) . Step .
Step Indep: 20 Depnd: 16
@ERASE @DRAW . .
10-7
@EXIT . @CANCL PLOT WINDOW( ) . $ L@@@OK@@@
. z = f(x,y) = sin (x2+y2) 3D . RPN( )
PLOT SETUP( ) . SIN(X^2+Y^2) @@@OK@@@ . @ERASE @DRAW . @EXIT @EDIT L
@)LABEL @MENU .
LL@)PICT EDIT() . @CANCL PLOT WINDOW( ) .
$ L@@@OK@@@ .
12 22 .
11-1
11 , , , .
CALC() 4 CALC() .
(1) , (2) , (3) (4) . (1) (2) . DERVX INTVX 11-3 .
, , . 0 . .
lim lim . . lim (N~l) CALC() 2. LIMITS & SERIES( ) .
11-2
ALG() lim lim(f(x),x=a) )(lim xf
ax . RPN( ) x=a lim . ALG() . 0 , .
+0 -0 . +0 0 . x 1 1x (ALG() ) .
N~l$OK$ R!X-
1@X@1+0`
.
11-3
DERIV DERVX DERIV DERVX CAS VX( X) . DERVX CALC() , CALC() ( ) DERIV.&INTEG( ) . DERIV f(t) t DERVX VX . ALG() . RPN( ) .
f(x) f(x) = dF/dx F(x). . .
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 SIGMAVX VX . INTVX, RISCH, SIGMA SIGMAVX CALC/DERIV&INTEG(/ ) , INT . ALG() . .
11-4
SIGMAVX SIGMA (!) . , .
(a,b) .
),()()( aFbFdxxfb
a= ( f(x) = dF/dx).
CAS PREVAL(f(x),a,b) CAS VX x f(b)-f(a) .
11-5
(Taylors series) f(x) x=x0 . , .
=
=0
)(
)(!
)()(
n
n
o
o
n
xxn
xfxf
,
f(n)(x) x f(x) n f(0)(x) = f(x).
x0 = 0 (Maclaurins series) .
TAYLR, TAYLR0 SERIES TAYLR, TAYLR0 SERIES (Taylor polynomial) (Taylor series) . CALC/LIMITS&SERIES(/ ) . TAYLOR0 VX( X) X = 0 . 4 . , 4. .
TAYLR k x = a x . TAYLR(f(x-a),x,k) . .
11-6
SERIES f(x) , ( ) ' = " . SERIES . x=a , h h = x - a . . 1. . )(lim xf
ax
2. x = a 3. 4. RPN( ) . TAYLR RPN( ) .
. ~!s`!2/-
S~!s`6!$OK$ $OK$
11-7
13 .
12-1
12 . .
. .
( ) ( ) )sin()cos(),cos()cos( yxyxy
yyxx
=
=
DERVX, DERIV, ( 11 ) . DERVX CAS VX( X) . 1 . f(x,y) = x cos(y) g(x,y,z) = (x2+y2)1/2sin(z).
12-2
ALG() f(x,y) g(x,y,z) .
DEF(f(x,y)=x*COS(y)) ` DEF(g(x,y,z)=(x^2+y^2)* SIN(z) `
.
)),(( yxfx
ALG() x(f(x,y)) ` .
x-y R f(x,y) R f(x,y) . R R = {a
13-1
13 HESS, DIV CURL .
del del nabla .
[ ] [ ] [ ] [ ]z
ky
jx
i
+
+
=
. (Laplacian) .
(x,y,z) . HESS . n (x1, x2, ,xn) [x1 x2xn] . (Hessian matrix) H = [hij] = [/xixj], n grad f = [ /x1 /x2 /xn] [x1, x2,,xn] . RPN( ) . (X,Y,Z) = X2 + XY + XZ . HESS .
[2X+Y+Z, X, X]. DERIV .
13-2
F(x,y,z) = f(x,y,z)i + g(x,y,z)j +h(x,y,z)k del "" . , FdivF = . DIV . F(X,Y,Z) = [XY,X
2+Y
2+Z
2,YZ] ALG()
DIV([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z]) .
(Curl) F(x,y,z) = f(x,y,z)i+g(x,y,z)j+h(x,y,z)k del "" . , FF =curl . CURL . F(X,Y,Z) = [XY,X
2+Y
2+Z
2,YZ] CURL
([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z]) .
15 .
14-1
14 ODE() . . .
CALC/DIFF(/) CALC()() DIFFERENTIAL EQNS..(..) . 117 CHOOSE() .
. . DESOLVE: Differential Equation SOLVEr( ),
. ILAP: Inverse LAPlace transform( ), L-
1[F(s)] = f(t)
LAP: LAPlace transform( ), L[f(t)]=F(s) LDEC: Linear Differential Equation Command(
)
1 . .
LDEC ODE LDEC(Linear Differential Equation Command) . .
14-2
ODE ODE CAS ( X) . ODE . RPN( ) . 1 ODE
d3y/dx
3-4(d2y/dx2)-11(dy/dx)+30y = 0.
. 0 ` 'X^3-4*X^2-11*X+30'` LDEC
(EQW( ) ).
cC0, cC1 cC2 . .
y = K1e3x + K2e
5x + K3e
2x.
2 LDEC , ODE : d3y/dx
3-4(d2y/dx2)-11(dy/dx)+30y = x2.
. 'X^2' ` 'X^3-4*X^2-11*X+30'` LDEC
.
. y = K1e
3x + K2e
5x + K3e
2x + (450x2+330x+241)/13500.
14-3
DESOLVE DESOLVE(Differential Equation SOLVEr) . . DESOLVE . DESOLVE CALC/DIFF(/) . RPN( ) DESOLVE . 1 1 ODE :
dy/dx + x2y(x) = 5.
. 'd1y(x)+x^2*y(x)=5' ` 'y(x)' ` DESOLVE
. {y(x) = (5*INT(EXP(xt^3/3),xt,x)+cC0)*1/EXP(x^3/3)} }
. ( ).)3/exp()3/exp(5)( 033 Cdxxxxy +=
ODETYPE @ODETY (ODETYPE) . DESOL DESOLVE ODE . @ODETY "1st order linear" . 2 . .
d2y/dt
2 + 5y = 2 cos(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
14-4
Exact() , y(0)=1.2 y(0) = 6/5, d1y(0) = -0.5 d1y(0) = -1/2 . Exact() .
: Q (5 ) . . @EDIT.
, .
y(t) = -((19*5*SIN(5*t)-(148*COS(5*t)+80*COS(t/2)))/190).
``J @ O D E T Y ODE ( Linear w/ cst coeff) .
f(t) F(t) (image domain) F(s) . . 1. f(t) ODE
. 2. F(s) . 3. 2
f(t) .
f(VX)( VX CAS X) LAP ILAP . X . LAP ILAP CALC/DIFF(/) . RPN( ) ALG() . 1 RPN( ) f(X)`LAP, ALG() LAP(F(X)) . ( RPN( ), ALG()).
14-5
.
{ }
= = 0 , ) ( ) ( ) ( dt e t f s F t f L
st
s CAS X . LAP f(X) X . 2 F(s) = sin(s) . .
1/(X+1)^2`ILAP
Xe-X. L -1{1/(s+1)2} = xe-x .
(Fourier series) .
+
=
=n
nT
tinctf ),
2exp()(
pi
.
==T
nndtt
T
nitf
Tc
0.,...2,1,0,1,2,...,,)
2exp()(
1 pi
FOURIER FOURIER f(t) n cn . FOURIER T (T) CAS PERIOD . FOURIER CALC() () DERIV() .
14-6
T = 2 g(t) = (t-1)2+(t-1) c0, c1 c2 . ALG() f(t) g(t) .
HOME() CASDIR(CAS ) PERIOD . .
(hold) `J@)CASDI`2K@PERIOD `
f g . CAS Complex() (2 ) . COLLECT ALG() () .
14-7
, c0 = 1/3, c1 = (pi i+2)/pi2, c2 = (pi i+1)/(2pi2). .
g(t) Re[(1/3) + (pi i+2)/pi2exp(I pi t)+ (pii+1)/(2pi2)exp(2 I pi t)].
, , , 16 .
15-1
15 .
MTH/PROBABILITY..(/..) - 1 MTH/PROBABILITY..(/..) . 117 CHOOSE() PROBABILITY..(..) .
COMB, PERM, !() RAND .
, n! = n (n-1) (n-2)321 . 0! = 1. . n r .
)!/(!)1)...(1)(1( rnnrnnnnrn P =+= n r .
)!(!
!
!
)1)...(2)(1(
rnr
n
r
rnnnn
r
n
=
+=
, MTH/PROBABILITY..(/..) COMB, PERM ! . . COMB(n,r): n r
.
15-2
PERM(n,r): n r .
n!: . x! (x+1) . (x) Gamma (3 ). (!) ~2 .
.
0 1 . MTH/PROBABILITY(/) RAND . RAND . (: .)
17 . , RDZ 17 .
15-3
MTH/PROB(/) - 2 , t , (2) F . NDIST, UTPN, UTPT, UTPC UTPF. MTH/PROBABILITY(/) . MTH() PROBABILITY() .
NDIST UTPN 2 . f(x) pdf NDIST( , 2, x) . NDIST(1.0, 0.5, 2.0) = 0.20755374 . pdf . UTPN . , UTPN(, 2, x) = P(X>x) = 1 - P(Xt) = 1-P(T
15-4
(2) ( ) . x UTPC 2 () . UTPC(,x) = P(X>x) = 1 - P(XF) = 1 - P(
16-1
16 (5 ) .
1, 2 4 DAT . Matrix Writer( ) STO DAT . Matrix Writer( )( 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.
.
@DAT . (: Single-var, Frequencies Summary stats, ) EDIT# . Matrix Writer( ) . . Matrix Writer( ) DAT .
16-2
DAT @@@OK@@ 1. Single-var..( ..) . .
DAT 1 ( DAT ). (Mean(), Standard Deviation( ), Variance(), Total number of data points( ), Maximum and Minimum values( )) . @@@OK@@ . . :
SINGLE-VARIABLE STATISTICS( ) Type: Population(: ) . , (n-1) n . @CHOOS Type: .
16-3
STAT() 2. Frequencies..( ..) . DAT . @@@OK@@@ . . DAT: Col(): DAT X-Min(X-): ( = -6.5) Bin Count
( ): ( = 13)
Bin Width
( ): ( = 1)
n {x1, x2, , xn} (class) (bin) . STAT() 2. Frequencies..( ..) (, ) . RANM({200,1}) (, 200 ) STO DAT ( ). @@@OK@@@ . .
16-4
-9 9 . (-8, 8) 2 8 . @@@OK@@@ 2. Frequencies..(
..) . DAT DAT Col() 1 .
X-Min(X-) -8, Bin Count( ) 8, Bin Width( ) 2 @@@OK@@@ .
RPN( ) 2 , 1 . 1 . DAT -8 14 8 8 [14. 8.] . .
. -8 ~ -6, -6 ~ -4, , 4 ~ 6 6 ~ 8. , 8 . .
23, 22, 22, 17, 26, 15, 20, 33.
[-8,-6] 23, [-6,-4] 22, [-4,-2] 22, [-2,0] 17, [0,2] 26, [2,4] 15, [4,6] 20 [6,8] 33 . 14 8( ) , 200 .
16-5
y = f(x) STAT() 3. Fit data..( ..) , , DAT (x, y) . DAT . .
x y
0 0.5
1 2.3
2 3.6
3 6.7
4 7.2
5 11
Matrix Writer( ) STO DAT .
3. Fit data..( ) @@@OK@@@ . DAT . .
@@OK@@ . RPN( ) . .
3: '0.195238095238 + 2.00857242857*X' 2: Correlation: 0.983781424465 1: Covariance: 7.03
16-6
3 . 2 1 x-y . 18 . 18 .
STAT() 4. Summary stats..( ..) . @@@OK@@@ . . DAT: X-Col, Y-Col(X-
, Y-): DAT . x 1 y 2. X-Col: 1.
_X _ Y: .
y = f(x) (x, y) . 3. Fit data..( ..) . DAT x-y . summary stats( ) @@@OK@@@ .
x- y- , X-Col: 1, Y-Col: 2 .
, _X, _Y .
16-7
@@@OK@@@ .
6. Conf Interval( ) @@@OK@@@ . .
. 1. Z-INT: 1 .:
2. Z-INT: 12.: 1 2
3. Z-INT: 1 p.: p
16-8
4. Z-INT: p1 p2.: p1-p2
5. T-INT: 1 .:
6. T-INT: 12.: 1 2
1 60 x = 23.3 s = 5.2 . = 0.05 . C = 1- = 0.95. @@@OK@@@ 1 . .
@HELP . . @@@OK@@@ . . @@@OK@@@ . .
@GRAPH .
16-9
pdf( ), z/2 , (23.3) (21.98424 24.61576) . @TEXT @@@OK@@@ . . 18 .
, . . . @@@OK@@@ 5. Hypoth. tests..( ..) . 6 .
. 1. Z-Test: 1 .:
16-10
2. Z-Test: 12.: 1 2
3. Z-Test: 1 p.: p
4. Z-Test: p1 p2.: p1-p2
5. T-Test: 1 .:
6. T-Test: 12.: 1 2
1 0 = 150, = 10, x = 158, n = 50, = 0.05 H0: = 0 H1: 0 . @@@OK@@@ . @@@OK@@@ 1. Z-Test:1 . @@@OK@@@ .
.
150 @@@OK@@@ . .
16-11
H0: = 150 H1: 150 . z z0 = 5.656854 . P 1.5410-8. z/2 = 1.959964 {147.2 152.8} x . @GRAPH .
18 .
17-1
17 10( 10, = 0-9) 2( 2, = 0,1), 8( 8, = 0-7) 16( 16, = 0-9,A-F) . 10 321 3x102+2x101+1x100 2 100110 1x2
5 + 0x2
4 + 0x2
3 + 1x2
2 + 1x2
1 + 0x2
0 = 32+0+0+4+2+0 = 38
.
BASE() BASE() (3 ) . 117 CHOOSE() ( 1 ) .
117 SOFT menus( ) BASE() .
BASE() LOGIC(), BIT() BYTE() . 19 .
17-2
10 10( ) # () . BASE() HEX(adecimal), DEC(imal), OCT(al) BIN(ary) . 16(: #53, #A5B ) . . # h(16), d(10), o(8) b(2) . . HEX DEC
OCT BIN
19 .
18-1
18 SD SD . SD 3 .
SD SD . SD . . HP 50g SD HP 50g . . . SD HP 50g . .
SD SD HP 50g . HP 50gFAT16 FAT32 . PC SD . .
: SD .
1. SD . 2. D . D
. .
3. 9, 2, 1 . .
18-2
4. "FORMAT FINISH PRESS ENTER TO EXIT( . Enter .)" . ` . $ C $ .
SD FAT32 .
SD 0, 1 2 SD . LIB (@) 3 . SD Filer() File Manager( )(!) . Filer() Tree() .
SD Filer() 8.3 . , 8 . PC . String . File Manager( ) STO RCL SD .
SD STO . Algebraic() :
, K 3 (: :3:VAR1) ` .
RPN( ) : 3 (: :3:VAR1) K .
18-3
SD 8 Filer() 3 8.3 DOS .
SD SD RCL . Algebraic() : 3 (: :3:VAR1) ` .
RPN( ) : 3 (: :3:VAR1) .
RCL . RPN( ) :3: {path}`RCL . DOS . . (: ) . RCL 8.3 .
SD SD PURGE . Algebraic() : I @PURGE 3 (: :3:VAR1) ` .
RPN( ) : 3 (: :3:VAR1) I @PURGE .
PURGE 8.3 .
18-4
SD ( ) SD . SD File Manager( ) @FORMA . . .
SD SD , , . SD . . PROG1 SD PROGS . .
!3~~progs/ prog1`K
SD PROGS PROG1 .
: PROGS . . .
:3:DIR1/DIR2/DIR3/NAME
~/ .
19-1
19 Equation Library( ) Equation Library . 300 100 15 . .
: RPN( ) 117 . 117 .
: Projectile Motion( ) . 1:
Equation Library . #SI# UNIT .
H~f2`
G`#EQLIB #EQNLI
2: Motion()
. ~m`
3:
Projectile Motion .
19-2
#PIC#
4: Projectile Motion .
( ).
#EQN# #NXEQ# #NXEQ# #NXEQ# #NXEQ#
5: . VARS#
. : 50
(0) 65 (R) . (v0) ? ? 30 ? .
1: . SOLV#
19-3
2: . x0 y0 0 . . L .
0 *!!!!!!X0!!!!!+ 0 *!!!!!!Y0!!!!!+ 50 *!!!!!!0!!!!!+ L65*!!!!!!R!!!!!+
3: v0 . !
. !*!!!!!!V0!!!!!+
4: R 2
x- . shift . R .
@ ##R#- 2/LL*!!!!!!X!!!!!+
5: y .
( ) .
! *!!!!!!Y!!!!!+
6: (30) , (v0) R .
30 ##0#- L *!!!!!!V0!!!!!+ ! *!!!!!!!!R!!!!!!!+
19-4
Equation Library 27 .
W-19-1
HP 50g , : 12 1. HP HP ,
. HP . .
2. HP . HP .
3. HP HP . HP .
4. HP .
5. (a) , (b) HP , , (c) , (d) (e) .
6. HP . , . , /,/ . , /, / .
W-19-2
7. . HP , , , ( ), , . , /, / .
8. HP . HP .
.
W-19-3
:
+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 +34-915-642095 +46-851992065 +41-1-4395358() +41-22-8278780() +39-02-75419782() +420-5-41422523 UK +44-207-4580161
+420-5-41422523 +27-11-2376200 +32-2-7126219 +420-5-41422523 :
+61-3-9841-5211 +61-3-9841-5211
W-19-4
: 0-810-555-5520
3747-7799; ROTC 0-800-157751
5258-9922; ROTC 01-800-472-6684
0800-4746-8368 800-360999 9-800-114726 0-800-10111
1-800-711-2884
1-800-999-5105 1-877-232-0589 0-800-011-0524
:
1800-HP INVENT
(905) 206-4663 800- HP INVENT
ROTC = http://www.hp.com .
W-19-5
Federal Communications Commission Notice
This equipment has been tested and found to comply with thelimits for a Class B digital device, pursuant to Part 15 of the FCC Rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference to radio communications. However, there is no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, the user is encouraged to try to correct the interference by one or more of the following measures:
Reorient or relocate the receiving antenna.
Increase the separation between the equipment and the receiver.
Connect the equipment into an outlet on a circuit different from that to which the receiver is connected.
Consult the dealer or an experienced radio or television technician for help.
Modifications
The FCC requires the user to be notified that any changes or modifications made to this device that are not expressly approved by Hewlett-Packard Company may void the users authority to operate the equipment.
Cables Connections to this device must be made with shielded cables with metallic RFI/EMI connector hoods to maintain compliance with FCC rules and regulations.
Declaration of Conformity for Products Marked with FCC Logo, United States Only
This device complies with Part 15 of the FCC Rules. Operation is subject to the following two conditions: (1) this device may not cause harmful interference, and (2) this device must accept any interference received, including interference that may cause undesired operation.
W-19-6
If you have questions about the product that are not related to this declaration, write to Hewlett-Packard Company P. O. Box 692000, Mail Stop 530113 Houston, TX 77269-2000 For questions regarding this FCC declaration, write to Hewlett-Packard Company P. O. Box 692000, Mail Stop 510101 Houston, TX 77269-2000 or call HP at 281-514-3333 To identify your product, refer to the part, series, or model number located on the product.
Canadian Notice
This Class B digital apparatus meets all requirements of the Canadian Interference-Causing Equipment Regulations. Avis Canadien
Cet appareil numrique de la classe B respecte toutes les exigences du Rglement sur le matriel brouilleur du Canada.
European Union Regulatory Notice
This product complies with the following EU Directives:
Low Voltage Directive 73/23/EEC
EMC Directive 89/336/EEC
Compliance with these directives implies conformity to applicable harmonized European standards (European Norms) which are listed on the EU Declaration of Conformity issued by Hewlett-Packard for this product or product family.
This compliance is indicated by the following conformity marking placed on the product:
This marking is valid for non-Telecom prodcts and EU harmonized Telecom products (e.g.
Bluetooth).
Hewlett-Packard GmbH, HQ-TRE, Herrenberger Strasse 140, 71034 Boeblingen, Germany
W-19-7
Japanese NoticeJapanese NoticeJapanese NoticeJapanese Notice
Korean NoticeKorean NoticeKorean NoticeKorean Notice
Disposal of Waste Equipment by Users in Private Household in the European Union This symbol on the product or on its packaging indicates that this
product must not be disposed of with your other household waste. Instead, it is your responsibility to dispose of your waste equipment by handing it over to a designated collection point for the recycling of waste electrical and electronic equipment. The separate collection and recycling
of your waste equipment at the time of disposal will help to conserve natural resources and ensure that it is recycled in a manner that protects human health and the environment. For more information about where you can drop off your waste equipment for recycling, please contact your local city office, your household waste disposal service or the shop where you purchased the product.
Perchlorate Material - special handling may apply This calculator's Memory Backup battery may contain perchlorate and may require special handling when recycled or disposed in California.