hp 50g user's guide japanese

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Guia Calculadora Hp50g Japones

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  • HP 50g

    H HP part number F2229AA-90019

  • URL URL URL URL www.register.hp.comwww.register.hp.comwww.register.hp.comwww.register.hp.com (((()))) 2003, 2006 Hewlett-Packard Development Company, L.P.

    Hewlett-Packard Company 16399 West Bernardo Drive MS 8-600 San Diego, CA 92127-1899 USA

    2006 4

  • (CAS) () () USB RS232

  • 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 Equation Writer (EQW) .......................... 1-20

    .........................................................................................1-20

  • TOC-2

    2 ................................................................................................................................2222----1111 ......................................................................... 2-1 .................................................................. 2-1

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

    Equation Writer (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 ........ 2-13 ................... 2-14

    ................................................................... 2-14 Algebraic PURGE ....... 2-14 RPN PURGE ............. 2-15

    UNDO CMD ........................................................... 2-16 CHOOSE ............................................. 2-16 ......................................................................................... 2-18 3 ................................................................................................................................3333----1111

    ............................................................................. 3-1 10 ...................................... 3-3

    MTH ............................................................ 3-5 .......................................................... 3-5

  • TOC-3

    ...................................................... 3-5 ...........................................................................3-7

    UNITS ................................................................ 3-7 ............................................................... 3-9 ................................................... 3-9

    .................................................... 3-10 ............................................................. 3-11 ...................................................................... 3-12

    ........................................................................3-13 ..............................................................3-15 .........................................................................................3-16 4 ................................................................................................................4444----1111

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

    .......................................................4-3 CMPLX ...........................................................................4-3

    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

    log-exp ......................... 5-5 .............................. 5-6

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

    HORNER ................................................................. 5-8

  • TOC-4

    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 ................................................. 6-7

    ........................................................................ 6-8 NUM.SLV 1 ............... 6-8

    STEQ .................................................................. 6-8 MSLV .............................................. 6-10 ......................................................................................... 6-11 7 ........................................................7777----1111

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

  • TOC-5

    ..................................................................... 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 Matrix Writer (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 ............................................................................... 9-4

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

  • TOC-6

    ......................................................... 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) ................................................ 10-2 .......................................................... 10-4 3D ........................................................................ 10-6 ......................................................................................... 10-8 11 ........................................................................................................................11111111----1111

    CALC () ......................................................... 11-1 /................................................................... 11-1

    lim........................................................................ 11-1 DERIV DERVX .............................................. 11-3

    ........................................................................ 11-3 INTINTVXRISCHSIGMA SIGMAVX ............. 11-3 ......................................................................... 11-4

    .................................................................................. 11-5 TAYLRTAYLR0 SERIES .............................. 11-5

    ......................................................................................... 11-6

  • TOC-7

    12 ............................................................................12121212----1111 ...................................................................................12-1 ...................................................................................12-2 .........................................................................................12-2 13 ................................................................13131313----1111

    .........................................................................................13-1 .........................................................................................13-2 .........................................................................................13-2 .........................................................................................13-2 14 ........................................................................................................................14141414----1111

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

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

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

    ..............................................................................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 ....................................16161616----1111 ............................................................................ 16-1 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 ............................................... 18-3 3D ....................................... 18-3 3D ............................................. 18-4 3D .......... 18-5 SD ................................................... 18-5 19 ............................................................................19191919----1111

    ......................................................................................... 19-5 ........................................................................... 19-1 ................................................................................... 19-3 .................................................................................. 19-5 Disposal of Waste Equipment by Users in Private Household in the

    European Union......................................................................... 19-7

  • 1-1

    1

    4 AAA (LR03) CR2032

    a. OFF OFF OFF OFF

    b. 4 AAA (LR03)

    a. OFF OFF OFF OFF

  • 1-2

    b. CR2032 (+)

    c. After installing the batteries, press $ to turn the power on.

    //// $ 1 @ ( 2 ) $ $ OFF OFF

    $ + - $ (hold) + $ (hold) -

  • 1-3

    2

    RAD XYZ HEX R= 'X'

    2 2

    { HOME }

    [HOME]

    @EDIT @VIEW @@RCL@@ @@STO@ !PURGE !CLEAR

    F1 F6 6

    ABCDEF 6 A B 2

    A F 6 6 6 1 6 6 () L () 3 3

    TOOL TOOL TOOL TOOL [TOOL] ()

  • 1-4

    @EDIT A ( 2 2 L )

    @VIEW B @@RCL@ C @@STO@ D !PURGE E @CLEAR F 6 [TOOL] 2 8 2 L () 3 3 2 @CASCM A CASCMD: CAS CoMmanD CAS

    () @HELP B L [TOOL] I ( 2 3 )

    1

    35 (81) (91) ALPHA (71)

  • 1-5

    P (44) 6 P [SYMBolic] [MTH (Math)] N CATalog ~p ALPHA P ~p ALPHA p ~p ALPHA pi

  • 1-6

    6 4 P 4 SYMBSYMBSYMBSYMBMTHCAT P P P P (SYMBSYMBSYMBSYMB) 3 (MTH) (CAT )~ (PPPP)

    B

    ( A ) H ( 2 2 ) [CALCULATOR MODES]

    @@OK#@

  • 1-7

    2 Algebraic Reverse Polish Notation (RPN) Algebraic () HP RPN H [CALCULATOR MODES] [Operating Mode] \ ( 5 2 ) @CHOOS Algebraic RPN !!@@OK#@ 2

    5.23

    0.23

    0.30.3

    10.50.3

    e+

    Equation Writer O

    !@.#*+-/R QO`

    Equation Writer Equation Writer

    OR3.*!5.- 1./3.*3.

    /23.Q3+!2.5`

    ` (3.*(5.-1/(3.*3.))/23.^3+EXP(2.5))

    ` ( @@OK Approx )

  • 1-8

    Equation Writer

    R!3.*!5.- 1/3.*3.

    /23.Q3+!2.5` RPN H \ @CHOOS RPN @@OK#@ RPN

    123 1 2 RPN 3 + 2

    3+2`

    3`2+

    3` 3 1 2 3 2 + 1 2 + 5 1

  • 1-9

    Algebraic

    123/32 123`32/ 42 4`2Q 3(27) 27R3@

    2 y x Q y ( 2) x ( 1) y ( 2) x ( 1) 3 (5 + 3) 2

    5`3+ (5 + 3) 2X

    5.23

    23

    33

    153

    e+

    3` 1 3 5` 1 5 3 2 3` 1 3 5 2 3 3

    3* 3 9 1 Y 1/(33) 1 5 23

    3 - 5 - 1/(33) 1 2 3 * 3 (5 - 1/(33)) 1 23` 1 23 14.66666 2 3Q 3 1 233 14.666

    2 / (3 (5-1/(33)))/233 1 2.5 1 2.5 ! e2.5, 1 2 + (3 (5 - 1/(3 3)))/233 + e2.5 = 12.18369 1 R ((3 (5 - 1/(33)))/233 + e2.5) = 3.4905156 1

  • 1-10

    ALG RPN 95

    H @FLAGS! 9 `

    10 H [CALCULATOR MODES] Std (12 ) 12

    !!@@OK#@ [Number format] Std 123.4567890123456 (16 ) ` 12

    H [Number format] @CHOOS [Fixed]

  • 1-11

    [Fix.] 0 @CHOOS 3

    !!@@OK#@

    @@OK#@

    6 5 123.4567890123456 123.456 123.457

    H [Number format] @CHOOS [Scientific] [Sci] 3 ( [Fixed] )

  • 1-12

    @@OK#@

    1.23E2 10 1.235 102 () [Sci] 3 1 4

    10 3 H [Number format] @CHOOS [Engineering] [Eng] 3 ( [Fixed] )

  • 1-13

    @@OK#@

    3 [Engineering format] 4 10 0 0.00256

    [CALCULATOR MODES] [FM] ( [Std] ) H 1 [FM]

    @@OK#@ 123.4567890123456

  • 1-14

    3 [Angle Measure] :360 (360) : 2pi (2pi r) :400 (400 g) SINCOSTAN Angle Measure H 2 \

    ( 5 2 ) @CHOOS Angle Measure !!@@OK#@ Radians

    4 8 3 (RECT) (CYLIN) (SPHERE) H 3 \ ( 5 2 ) @@CHOOS Coord System @@OK#@ [Polar]

  • 1-15

    CAS CAS Computer Algebraic System () CAS CAS CAS H [CALCULATOR MODES]

    CAS @@CAS@@ CAS

    [CAS MODES]

    .

    ( [Rigorous] [Simp Non-Rational] )

  • 1-16

    ( [_Numeric][Approx][_Complex][_Verbose][_Step/Step][_Incr Pow] )

    [CAS MODES] @@@OK@@@ [CALCULATOR MODES] @@@OK@@@

    CAS CAS CAS CAS Indep var: CAS VX = X Modulo:

    ( 5 )

    Numeric:

    Approx: Approximate CAS Exact

    Complex: CAS Real 4

    Verbose: CAS Step/Step: CAS

    ()

    Incr Pow: Increasing Power

    Rigorous: |X| X

    Simp Non-Rational:

  • 1-17

    H [CALCULATOR MODES]

    [CALCULATOR MODES] @@DISP@ [DISPLAY MODES]

    [DISPLAY MODES]

    ( [Stack:] [Textbook] ) ( [Edit:] [_Small][_Full page] [_Indent] )

    [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

    3 ( 87 6) [Browse..] 7 6 OK @@@OK@@@ [CALCULATOR MODES] @@@OK@@@

    H [CALCULATOR MODES] [CALCULATOR MODES] @@DISP@ [DISPLAY MODES] [Edit] 1 3 ()

    _Small _Full page _Indent

    2

  • 1-19

    H [CALCULATOR MODES] [CALCULATOR MODES] @@DISP@ (D) [DISPLAY MODES] 2 2 () _Small

    _Textbook Algebraic RPN Equation Writer O0\xx`

    Algebraic [_Small][_Textbook]

    [_Small]

    [_Textbook] ()[_Small]

  • 1-20

    Equation Writer (EQW) Equation Writer (EQW) Equation Writer (EQW) Equation Writer (EQW) H [CALCULATOR MODES] [CALCULATOR MODES] @@DISP@ [DISPLAY MODES] EQW (Equation Writer) 3 2 () _Small Equation Writer

    _Small Stack Disp Equation Writer

    Equation Writer (EQW)

    0dXe X

    [DISPLAY MODES] [EQW] [_Small Stack Disp]

    1 C

  • 2-1

    2 Equation Writer

    reals (-0.00233.56) integers ( 1232-123212123)complex numbers ((3,-2)) lists 2 24

    Algebraic Fix ( 3 )

    30.20.3

    5.7

    0.10.1

    0.5

    +

    5.*1.+1/7.5/

    R3.-2.Q3

    5*(1+1/7.5)/(3-2^3). `

  • 2-2

    CAS EXACT ( C ) 5*1+1/7.5/

    R3-2Q3

    Approximate ( 3 ( 1 ))

    ` 5*1+1/7.5/

    R3-2Q3`

    EVAL

    `

  • 2-3

    CAS Exact CAS Approx RPN CAS Exact Textbook Standard 5*1+1/7.5/

    R3-2Q3`

    ` 2

    !` @` 3 [ ] NUM 2 2 2 EVAL -. (0) 2

  • 2-4

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  • 2-5

    Equation Writer (EQW) Equation Writer / Equation Writer O ( 4 3 ) L 2

    Equation Writer (EDITCURSBIGEVALFACTOR SIMPLIFYCMDS HELP) 6 3

    Equation Writer Equation Writer Equation Writer 5/5+2

    *5+1/3

  • 2-6

    (5+1/3) (5+pi2/2) Delete () 1/3 pi2/2

    Q2

    2 pi2 ()

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    1/3

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    5(25

    52

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  • 2-7

    () () (7 )

    (pi2/2 2 ) ( )

    +1/3 1/3

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    2/R3*~n+\~m *~x+2*~m*~c

    ~y/~tQ1/3

  • 2-8

    (x (~x) ) ( (~n) ) ( y (~c~y)) ~ [CHARS] () ~ D 2

    HOME

    HOME HOME HOME HOME HOME UPDIR ( ) ( 2 {HOME} ) (hold) HOME CASDIR J

  • 2-9

    HOME 2

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    ~~ ~ ~~~ ~

  • 2-10

    ~

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  • 2-11

    A12: 3V5K~a12` Q~r/ ~m+~rK~q`

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  • 2-12

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  • 2-13

    AlgebraicAlgebraicAlgebraicAlgebraic J @@z1@@ ` @@@R@@ ` @@@Q@@@ `

    RPN RPN RPN RPN RPN z1RQA12 J@@z1@@ @@@R@@ @@@Q@@ @@A12@@ @@@@

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  • 2-14

    ( Algebraic RPN )

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  • 2-15

    PURGE PURGE R Q : I @PURGE@ J @@@R!@@ J @@@Q!@@

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  • 2-16

    UNDO CMD UNDO CMD HIST UNDO CMD

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    @@OK@@ [MEMORY] [DIRECTORY]

    @OK@@ [DIRECTORY] [ORDER]

  • 2-17

    @@OK@@ ORDER 117 ( 2 24 )

    H@FLAGS! 117 (CHOOSE )

    117

    @@OK@@ 2 ORDER [PROG]

  • 2-18

    B [MEMORY] ()@@MEM@@)

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    117 ( )

    Equation Writer 2 CAS () C 24

  • 3-1

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  • 3-2

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  • 3-3

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  • 3-4

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    0.85

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    ABSSQ^XROOTLOGALOGLNEXPSINCOSTANASINACOSATAN (+-*/) Equation Writer ( 2 )

  • 3-5

    MTH [MTH ()] 117 CHOOSE ( 2 ) [MTH]

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  • 3-6

    ALG tanh(2.5)

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  • 3-7

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    SINH (2.5) = 6.05020.. ASINH(2.0) = 1.4436 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.

    UNITS UNITS UNITS UNITS [UNITS] (6 ) 117 CHOOSE

  • 3-8

    [1. Tools..] () [2. Length..] [17.Viscosity..] [8. Force..]

    ( )N = dyn = gf = ( )kip = (1000 )lbf = ()pdl = 5 N 5_N 117 ( 2 ) L

  • 3-9

    @)SPEED

    )UNITS [UNITS] @)ENRG

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    (key(8,5)) 5 N 5_N ALG 117 CHOOSE

    58@@OK@@ @@OK@@ ` 5*N N

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  • 3-10

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  • 3-11

    123~p~m

    UBASE () (1 m)

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    65_(myd) SI UBASE ( N )

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    UBASE SI

  • 3-12

    ALG 5 m + 3200 mm

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    CONVERT(33_W,1_hp) ` CONVERT(33_W,11_hp) `

  • 3-13

    CONLIB ~~conlib` CONLIB N~c CONLIB @@OK@@ ` ()

    SI SI (*) ENGL (*) UNIT

    (*) VALUE

    (*) STK () QUIT

    (*) [VALUE] [VALUE] (SI )

    () @ENGL

  • 3-14

    [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) 1 ALG

    ~h~x

    ~x+1+~x`

    J (@@@H@@) @@@H@@

    H

    >

  • 3-16

    UserRPL ( 20 21 ) 2

    x x LN(x+1) + EXP(x)

    x () 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 Complex

    H)@@CAS@ COMPLEX CAS MODES [ _Complex]

    @@OK@@ 2

  • 4-2

    2 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\`

    ( 1.2 ALG )

    3.5-1.2i CYLIN CYLIN (N) H RPN

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

  • 4-3

    () x = r cos , y = r sin (0.3678, 5.18) CYLIN (x,y) (x y ) (3.,2.) RPN

    4 (+-*/) (i2= -1) ALG CAS

    (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 2 CMPLX (CoMPLeX ) 1 [MTH] ( 3 ) 1 () 2 [CMPLX]

  • 4-4

    MTH MTH MTH MTH CMPLX CMPLX CMPLX CMPLX 117 CHOOSE CHOOSE CHOOSE 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 CMPLX CMPLX 2 [CMPLX] 1 117 CHOOSE [CMPLX]

    ARGABSCONJIMNEGRE SIGN i

    3 [MTH] (SQLNex )

  • 4-7

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

    DROITE (N) Y = 5.*(X-5.)-3

    4

  • 5-1

    5 12.315.2_mpiei auxwidth p*D^2/4f*(L/D)*(V^2/(2*g)) p*V = n*R*TQ=(Cu/n)*A(y)*R(y)^(2/3)*So

    1 Equation Writer (EQW) pi*D^2/4 1

    *~dQ2/4`

    Equation Writer Equation Writer Equation Writer 2 Equation Writer

    ` (ALG RPN )

  • 5-2

    (0 ) ( ) pi*R^2g*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 ALG ALG [ALG ()] (4 ) 117 CHOOSE [ALG]

    IL@)HELP@`COLLECT ~c () COLLECT

  • 5-4

    @@OK@@ COLLECT

    EXPAND FACTOR EXPAND FACTOR (EXPAND @SEE1FACTOR @SEE2!)@SEE1 EXPAND @SEE2! FACTOR

    @ECHO EXPAND @ECHO! ( ` )

    [ALG]

  • 5-5

    SUBST CAS

    RPN TEXPAND RPN

    +~x+~y`

    [ALG] ( N ) TEXPAND

    () ()

    loglogloglog----exp exp exp exp

  • 5-6

    EXPLN

    [TRIG]

    ACOS2S (acos(x)) (asin(x)) (IL@HELP) [TRIG]

  • 5-7

    ARITHMETIC [ARITHMETIC] (1 ) 117 CHOOSE

    5 9 (DIVIS FACTORSLGCD

    PROPFRAC SIMP2) (1. INTEGER 2. POLYNOMIAL3. MODULO 4. PERMUTATION) 117 [ARITHMETIC] ()

    [ARITHMETIC] (IL@HELP) FACTORS

    SIMP2 FACTORS:FACTORS:FACTORS:FACTORS: SIMP2:SIMP2:SIMP2:SIMP2:

    [ARITHMETIC] INTEGERPOLYNOMIALMODULO PERMUTATION 5

  • 5-8

    1 X^3+2*X^2-3*X+2 X SIN(X)^2-2 SIN(X) COLLECT EXPAND

    HORNER HORNER HORNER HORNER HORNER (POLYNOMIALHORNER) (X-a) P(X) 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 VX VX VX X VX {HOME CASDIR} XCAS VX VX CAS C

    PCOEF PCOEF PCOEF 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 PROOT PROOT () PROOT X2+5X+6 =0, PROOT([1, 5, 6]) = [2.3.].

    QUOT QUOT QUOT QUOT REMAINDER REMAINDER REMAINDER REMAINDER QUOT REMAINDER 2 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 PEVAL PEVAL PEVAL (Polynomial EVALuation)

    p(x) = anxn+an-1x n-1+ + a2x2+a1x+ a0, [anan-1 a2a1a0] x0 p(x0) PEVAL [ARITHMETIC] [CALC/DERIV&INTEG] 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 SIMP2 SIMP2 SIMP2 [ARITHMETIC] SIMP2 2

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

    PROPFRAC PROPFRAC PROPFRAC PROPFRAC PROPFRAC ()

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

    PARTFRAC PARTFRAC PARTFRAC 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 FCOEF FCOEF [ARITHMETIC/POLYNOMIAL] FCOEF F(X) = N(X)/D(X) N(X) = 0 D(X) = 0 () 2 ( 1) 0 ( 3) -5 ( 2) 1 (2) 3 ( 5)

  • 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 FROOTS FROOTS FROOTS [ARITHMETIC/POLYNOMIAL] FROOTS FROOTS [1 2. 3 5. 0 3. 2 1. 5 2.]. () () (1-3) (25) (02-5) (312) 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 Step/step

    2

    235 23

    +

    X

    XXX

    C (DIV2 [ARITH/ POLYNOMIAL] )

    1

    12

    9

    X

    X

  • 5-12

    5

  • 6-1

    6 7 2 ([Symbolic SOLVer ()] [NUMerical SoLVer ()])

    [Symbolic Solver] 117 CHOOSE

    ISOL SOLVE SOLVEVX CAS VX (X) ZEROS

    ISOL ISOL ISOL ISOL ISOL () ALG at3-bt = 0 t

    RPN ISOL ISOL RPN ISOL

  • 6-2

    ISOL ALG

    (=) (\ )

    RPN (ISOL RPN )

    SOLVE SOLVE SOLVE SOLVE SOLVE ISOL SOLVE X^4 1 = 3 SOLVE

  • 6-3

    ALG RPN SOLVE (CAS Complex )

    2 4-5 =125 SOLVE { }2 4 - 5 = 6 SOLVE 4 () ( )

    SOLVE 2 RPN

  • 6-4

    SOLVEVX SOLVEVX SOLVEVX SOLVEVX SOLVEVX VX CAS XALG VX = X

    SOLVEVX 2 SOLVEVX 1 X = 2 2 RPN (SOLVEVX )

    ZEROS ZEROS ZEROS ZEROS ZEROS ALG

  • 6-5

    RPN ZEROS ZEROS 2 ZEROS RPN (CAS Complex )

    Symbolic Solver () Numerical Solver

    Numerical solver Numerical Solver (NUM.SLV)

    [3. Solve poly..][5. Solve finance] [1. Solve equation..] Numerical Solver 1-A [6. MSLV (Multiple equation SoLVer)] 6-10

  • 6-6

    1. NUM.SLV 2. [NUM.SLV] 1

    SOLVE [Solve poly] (1) (2) (3) X

    anxn + an-1xn-1 + + a1x + a0 = 03s4 + 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).

    [15-24] @@OK@@ [Solve poly] 15 2\4@@OK@@ @SOLVE@ `

    CAS X [15-2,4] [Solve poly] 15 2\4@@OK@@@SYMB@ ` 'X^3+5*X^2+-2*X+4'

  • 6-8

    [13-21] @@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

    NUM.SLV NUM.SLV NUM.SLV NUM.SLV 1 1 1 1 [NUM.SLV] [1. Solve equation..] ( ) ex-sin(pix/3) = 0. EQ ALG

    ~x-S *~x/30

    K~e~q`

    STEQ STEQ STEQ STEQ STEQ EQ ALG

  • 6-9

    RPN STEQ STEQ EQ J EQ

    SOLVE [Solve equation] @@OK@@

    EQ SOLVE EQUATION Eq x X @SOLVE@ X 4.5006E-2:

  • 6-10

    X: 3\ @@@OK@@ @SOLVE@ X -3.045.

    MSLV MSLV MSLV

    MSLV 3 1. [SIN(X)+Y,X+SIN(Y)=1] 2. [X,Y] 3. X Y

    0

  • 6-11

    ALG @ECHO ` ()

    RPN

    MSLV

    MSLV X = 1.8238Y = -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

    1

    1

    1

  • 7-3

    L4/L3 L3 1 0

    L4 L3 0 Exact

    (Invalid Dimensions) L1-L4 (+) 2

    2 ADD (N) L1 L2 ADD

  • 7-4

    (ABSexLN10xLOGSINx2COS TANASINACOSATANyx) [MTH/HYPERBOLIC] (SINHCOSHTANHASINHACOSHATANH)[MTH/REAL] (% ) ABSABSABSABS INVERSE (1/x)INVERSE (1/x)INVERSE (1/x)INVERSE (1/x)

    (L1 ADD i*L2) RPN L1 i L2 ADD *

    LNEXPSQ

  • 7-5

    SIN (Exact ( 1 ))

    MTH/LIST [MTH] 117 CHOOSE [MTH/LIST]

    117 [MTH/LIST]

    [MTH/LIST] LIST: LIST: LIST: SORT: REVLIST: ADD: 2 (

    )

  • 7-6

    ALG

    SORT REVLIST

    RPN L3

    l3`!#OK# #OK# L3 [MTH] [ LIST operation]

  • 7-7

    SEQ (N) SEQ

    SEQ(expression, index, start, end, increment)

    {12223242}

    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] 2 [3,-1,2] 3 ['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 u2v2 () ALG

  • 8-3

    Matrix Writer (MTRW) Matrix Writer (MTRW) Matrix Writer (MTRW) Matrix Writer (MTRW) Matrix Writer ( 4 3 ) (Matrix Writer 9 )

    @EDIT! @EDIT Matrix Writer

    1

    Matrix Writer

    Matrix Writer

    ` ( )

    ` ( )

    Matrix Writer Matrix Writer Matrix Writer Matrix Writer () Matrix Writer

    3`5`2``

    3 2 3 1 Matrix Writer L 2

  • 8-4

    @+ROW@ @-ROW @+COL@ @-COL@ @STK @GOTO@ @+ROW@ 0

    @+ROW@

    @+COL@ 0

    @-COL@

    @STK @GOTO@

    L 1 @@DEL@ () @@DEL@ 0

    (1) Matrix Writer

    (2)

    1`2`3` L @GOTO@ 2 @@OK@@ 1 @@OK@@ @@OK@@ 4`5`6` 7`8`9`

    (3) 2 @-ROW 2

    (4) @+ROW@ 2 0 3 (5) @-COL@ (6) @+COL@ 0 2 (7) @GOTO@ 3 @@OK@@ 3 @@OK@@ @@OK@@ (33) (8) @STK (33)

    ` 9 (33)

  • 8-5

    u2u3v2 v3 A=[-1,-2,-3,-4,-5]

    \

    2

  • 8-6

    (ABS) ABS([1,-2,6]), ABS(A), ABS(u3)

    MTH/VECTOR [MTH] ()

    [VECTOR] ( 117 CHOOSE )

  • 8-7

    () ABS () ABS

    DOT ( CHOOSE 2) 2 Au2u3v2 v3 DOT ALG 2

    CROSS ([MTH/VECTOR] 3) 2 2 2 3 1 2 1 3 2 [AxAy] 3 [Ax,Ay0] ALG 2 2 2 3 2 2 Z [00Cz]

  • 8-8

    1 3 1 2

    2 3

    () 9

  • 9-1

    9 ( )

    2 (1) Matrix Writer (2)

    Matrix Writer Matrix Writer Matrix Writer 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

    (H@)DISP![Textbook] )

    RPN

    2.5\4.22

    .31.92.8

    2.1\.5`

    () () (.) A ALG K~a RPN ~aK

  • 9-3

    A22B22A23B23A33 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

    4 (ALG )

    RPN 8 A22 ` B22`+ A22 ` B22`- A23 ` B23`+ A23 ` B23`- A32 ` B32`+ A32 ` B32`- A33 ` B33`+ A33 ` B33`-

    Algebraic

  • 9-5

    CCCCmn = AAAAmpBBBBpn 2 cij

    .,,2,1;,,2,1,1

    njmiforbacp

    k

    kjikij KK ====

    AAAABBBB BBBBAAAA 1

  • 9-6

    2 HADAMARD (N) [MATRICES/OPERATIONS] () HADAMARD

    B22 5

    Algebraic [ ] Q [] ` RPN [] [] Q`

  • 9-7

    AAAAIIII = IIIIAAAA = AAAA IDN ([MTH/MATRIX/MAKE] )

    AAAA AAAA-1 AAAAAAAA-1 = AAAA-1AAAA = IIII IIII AAAA INV (Y )

  • 9-8

    ( NORM ) [NORM (NORMALIZE)] 10

    DET DET DET DET DET

    TRACE TRACE TRACE 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. AAAAnmxxxxm1 = bbbbn1

    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 Numerical Solver Numerical Solver Numerical Solver 1 Numerical Solver Numerical Solver () [4. Solve lin sys..] @@@OK@@@ ()

    AAAAxxxx = bbbb A: AAAA [[ a11, a12, ], []]B: bbbb X: @SOLVE xxxx X: 1

  • 9-10

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

    AAAAxxxx = bbbb

    .

    6

    13

    13

    ,,

    422

    831

    532

    3

    2

    1

    =

    =

    = bxA and

    x

    x

    x

    3 (x1x2x3) 3 AAAA A: Writer while AAAA Matrix Writer AAAA (Matrix Writer ` ) Numerical Solver

    B: b [13,-13,-6] @@@OK@@@ A b X @SOLVE!

  • 9-11

    AAAA AAAAxxxx = bbbb xxxx = AAAA-1 bbbb ( A b )

    / bbbb AAAA AAAAxxxx = b b b b xxxx bbbb AAAA ( AAAA bbbb )

  • 9-12

    10 11

  • 10-1

    10 3D

    (D) RPN 2 2D/3D [PLOT SETUP] [TYPE]

    [TYPE] [Function] @CHOOS

  • 10-2

    y = f(x)

    )2

    exp(2

    1)(

    2xxf =

    pi

    [] (INDEP) XL@@@OK@@@ [PLOT SET UP]

    RPN

    @ADD Equation Writer Y1 (X) = Equation Writer

  • 10-3

    ` [PLOT - FUNCTION] Y1(X) = EXP(-X^2/2)/(2*pi)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

    L@CANCL

    L@@@OK@

  • 10-4

    (E) (F) (RPN ) Y(X) = X/ (X+10) -5 < X < 5 f(x) x -5

    5 0.5 [] [[[[FUNCTIONFUNCTIONFUNCTIONFUNCTION]]]] RPN [Type] [[[[FUNCTIONFUNCTIONFUNCTIONFUNCTION]]]] @CHOOS [[[[FUNCTIONFUNCTIONFUNCTIONFUNCTION]]]] @@@OK@@@

    [EQ] X/(X+10)`

    [] L@@@OK@@@

    ( E) [Table Set-up] RPN (Start) (Step) 5\ @@@OK@@@ 0.5 @@@OK@@@ 0.5@@@OK@@@ ( = 0.5)[Small Font] @@@OK@@@

    ( F) RPN x (-5, -4.5) f(x) f(x) Y1 x x ( x = 5)

    @ZOOM@@BIG@ @DEFN @DEFN @@BIG@

    @ZOOM [In][Out][Decimal][Integer] [Trig]

  • 10-5

  • 10-6

    [In] @@@OK@@@ x 0.5 0.25 0.5 0.5 0.25 x [zoom in]

    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 [10 ] x 0.10

    @ZOOM [] x 1 [] pi

    `

    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@@@ Indep: X Depnd: Y

    L@@@OK@@@ (RPN )[PLOT

    WINDOW]

  • 10-7

    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 () 2

    @EXIT @CANCL [PLOT WINDOW] Step Step Indep: 20

    Depnd:16 @ERASE @DRAW

  • 10-8

    @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 () CALC 4

    4 (1) (2) /(3) (4) (1) (2) DERVX INTVX 11-3

    / () / 0 /

    lim / lim / lim (N~l) CALC [2. /] ()

  • 11-2

    ALG lim lim(f(x),x=a) / )(lim xfax RPN x=a lim ALG / 0 ( )

    +0 -0 +00x 1 1x (ALG )

    N~l$OK$ R!X- 1@X@1+0`

  • 11-3

    DERIV DERIV DERIV DERIV DERVX DERVX DERVX DERVX DERIV DERVX CAS VX (X) DERVX CALC CALCL () [DERIV&INTEG] DERIV say f(t) say t DERVX VX ALG RPN

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

    CxFdxxf += )()( f(x) = dF/dx C

    INT INT INT INTINTVXINTVXINTVXINTVXRISCHRISCHRISCHRISCHSIGMA SIGMA SIGMA SIGMA SIGMAVX SIGMAVX SIGMAVX SIGMAVX INTINTVXRISCHSIGMA SIGMAVX INTRISCH SIGMA INTVX SIGMAVX CAS VX ( x ) INT RISCH INT x INTVX SIGMAVX VX INTVXRISCHSIGMA 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

    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

    TAYLR TAYLR TAYLR TAYLRTAYLR0TAYLR0TAYLR0TAYLR0 SERIES SERIES SERIES SERIES TAYLRTAYLR0 SERIES CALC [/] TAYLOR0 VX (X) (X = 0) 4 4

    TAYLR k x = a x TAYLR(f(x-a),x,k)

  • 11-6

    SERIES f(x) () = SERIES 4 h = x - a 2 x=a h 1. )(lim xf

    ax

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

    ~!s`!2/-

    S~!s`6!$OK$ $OK$

    13

  • 12-1

    12 2

    ( ) ( ) )sin()cos(),cos()cos( yxyxy

    yyxx

    =

    =

    11 DERVX DERIV DERVX CAS VX (X) 2 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) ` ALG

    )),(( yxfx x(f(x,y)) `

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

  • 13-1

    13 HESSDIV CURL

    Del delnabla

    [ ] [ ] [ ] [ ]z

    ky

    jx

    i

    +

    +

    =

    (x,y,z) grad = HESS n (x1, x2, ,xn) [x1 x2xn] HHHH = [hij] = [/xixj] n (gradgradgradgrad f = [ /x1 /x2 /xn]) [x1, x2,,xn] RPN (X,Y,Z) = X2 + XY + XZ HESS

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

  • 13-2

    FFFF(x,y,z) = f(x,y,z)i i i i + g(x,y,z)j j j j +h(x,y,z)k k k k

    FdivF = DIV ALG FFFF(X,Y,Z) = [XY,X2+Y2+Z2,YZ] DIV([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])

    FFFF(x,y,z) = f(x,y,z)iiii+g(x,y,z)jjjj+h(x,y,z)k k k k

    FF =curl CURL FFFF(X,Y,Z) = [XY,X2+Y2+Z2,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: SOLVEr (

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

  • 14-2

    LDEC LDEC LDEC LDEC LDEC () ODE 2 ODE ODE CAS ( X) ODE RPN 1 ODE

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

    0 ` 'X^3-4*X^2-11*X+30'` LDEC EQW

    cC0cC1 cC2

    y = K1e3x + K2e5x + K3e2x 2 LDEC ODE

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

    'X^2' ` 'X^3-4*X^2-11*X+30'` LDEC

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

  • 14-3

    DESOLVE DESOLVE DESOLVE DESOLVE DESOLVE ( SOLVEr) DESOLVE DESOLVE [CALC/DIFF] RPN DESOLVE 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 ODETYPE ODETYPE ODETYPE @ODETY (ODETYPE) DESOL DESOLVE ODE 1st order linear @ODETY 2

    d2y/dt2 + 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 y(0)=1.2y(0) = 6/5d1y(0) = -0.5d1y(0) = -1/2

  • 14-4

    10 Q ( 5 ) @EDIT

    y(t) = -((19*5*SIN(5*t)-(148*COS(5*t)+80*COS(t/2)))/190) ``J@ODETY ODE Linear w/ cst coeff

    f(t) F(s) f(t) 3 1. f(t) ODE 2. F(s) 3. 2

    f(t)

    f(VX) LAP ILAP VX CAS ( X) 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

    Equation Writer CAS X LAP f(X) X 2 F(s) = sin(s)

    1/(X+1)^2`ILAP Xe-XL -1{1/(s+1)2} = xe-x

    +

    =

    =n

    nT

    tinctf ),

    2exp()(

    pi

    ==T

    nndtt

    T

    nitf

    Tc

    0.,...2,1,0,1,2,...,,)

    2exp()(

    1 pi

    FOURIER FOURIER FOURIER FOURIER FOURIER f(t) cn n FOURIER T (T) CAS PERIOD FOURIER CALC () [DERIV]

  • 14-6

    g(t) = (t-1)2+(t-1) c0c1 c2 T 2 ALG f(t) g(t)

    [HOME] [CASDIR] 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) 3

    g(t) Re[(1/3) + (pi i+2)/pi2exp(ipi t)+ (pii+1)/(2pi2)exp(2ipi t)]

    16

  • 15-1

    15

    MTH/PROBABILITY.. - 1 [MTH/PROBABILITY..] 117 CHOOSE [..]

    COMBPERM! () RAND

    n 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.. ] COMBPERM! COMB(n,r):n r

  • 15-2

    PERM(n,r):n r

    n!:x! (x+1) (x) ( 3 ) (!) ~2

    0 1 [MTH/PROBABILITY] RAND RAND

    17 17 RDZ

  • 15-3

    MTH/PROB - 2 4 ( t (2)F ) NDISTUTPNUTPTUTPC 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) 2 () UTPC x UTPC(,x) = P(X>x) = 1 - P(XF) = 1 - P(

  • 16-1

    16 (5 )

    12 4 DAT 1 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

    1 DAT @@@OK@@ [1[1[1[1. Single. Single. Single. Single----var..var..var..var..] ] ] ]

    DAT 1 DAT ( ) @@@OK@@

    1 [SINGLE-VARIABLE STATISTICS] [TYPE: Population] (n-1) n @CHOOS [Type] [population]

  • 16-3

    [STAT] [2. [2. [2. [2. FrequenciesFrequenciesFrequenciesFrequencies..]..]..]..] DAT @@@OK@@@ DAT:DAT:DAT:DAT: Col:Col:Col:Col: DAT XXXX----Min:Min:Min:Min:

    ( = -6.5) Bin Bin Bin Bin ( = 13) Bin Bin Bin Bin ( = 1) n {x1, x2, , xn} BIN [STAT] [2. [2. [2. [2. FrequenciesFrequenciesFrequenciesFrequencies..]..]..]..] () RANM({200,1}) (200 ) STO DAT ()@@@OK@@@ 1

  • 16-4

    -9 9 (-8, 8) 2 8 BIN @@@OK@@@ [2. [2. [2. [2. FrequenciesFrequenciesFrequenciesFrequencies..]..]..]..]

    DAT DAT 1 [Col] 1

    [X-Min] -8 [Bin Count] 8 [Bin Width] 2 @@@OK@@@

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

    BIN -8 -6-6 -4...4 6 6 8 8 BIN

    23, 22, 22, 17, 26, 15, 20, 33. BIN [-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 [3. [3. [3. [3. Fit dataFit dataFit dataFit data..]..]..]..] DAT (x, y) DAT 2

    x y 0 0.5 1 2.3 2 3.6 3 6.7 4 7.2 5 11

    Matrix Writer 2 DAT STO

    [3. [3. [3. [3. Fit dataFit dataFit dataFit data..] ..] ..] ..] @@@OK@@@ DAT

    @@OK@@

    3 (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. [4. [4. [4. Summary statsSummary statsSummary statsSummary stats..] ..] ..] ..] 4 @@@OK@@@ DAT:DAT:DAT:DAT: XXXX----Co:Co:Co:Co:YYYY----Col:Col:Col:Col: DAT 3

    x 1 y 2 1 XXXX----Col: 1Col: 1Col: 1Col: 1

    ____X _ X _ X _ X _ YYYY::::

    y = f(x) 2 (x, y) [3. [3. [3. [3. Fit dataFit dataFit dataFit data..]..]..]..] DAT x-y [[[[summary statssummary statssummary statssummary stats............]]]]

    @@@OK@@@ x y X-Col:

    1 Y-Col: 2 _X_Y

  • 16-7

    @@@OK@@@

    [6. [6. [6. [6. Conf IntervalConf IntervalConf IntervalConf Interval]]]] @@@OK@@@

    1. Z-INT:1 .:

    1 2. Z-INT: 12.:

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

  • 16-8

    4. Z-INT: p1 p2.: 2 p1-p2

    5. T-INT:1 .: 1

    6. T-INT: 12.: 1 2

    1 60 x = 23.3 s = 5.2 0.05 C = 1- = 0.95 @@@OK@@@

    @HELP @@@OK@@@ @@@OK@@@

    @GRAPH

  • 16-9

    pdf () z/2 (23.3) (21.98424 24.61576) @TEXT @@@OK@@@ 18

    [5. ..] @@@OK@@@ 6

    1. Z-Test:1 .:

    1

  • 16-10

    2. Z-Test: 12.: 1 2

    3. Z-Test: 1 p.: p 1

    4. Z-Test: p1 p2.: 2 p1-p2

    5. T-Test:1 .: 1

    6. T-Test: 12.: 1 2

    1 0 = 150 = 10 x = 158 n = 50 = 0.05 H1: 0 H0: = 0 @@@OK@@@ @@@OK@@@ [1. Z-Test: 1 ] @@@OK@@@

    [ 150.] @@@OK@@@

  • 16-11

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

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

    BASE [BASE] (3 ) 117 CHOOSE ( 1 )

    117 SOFT [BASE]

    [BASE] [LOGIC] [BIT] [BYTE] 19

  • 17-2

    10 10 (2 ) # () 2 [BASE] [HEX (adecimal)][DEC (imal)][OCT (al)][BIN (ary)] 2 #53 #A5B 16 # 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 SD HP 50g

    SD SD HP 50g HP 50g FAT16 FAT 32 SD PC ()

    SD

    1. SD

    2. D D

  • 18-2

    3. 921 4. HP 50g FORMAT FINISH PRESS ENTER

    TO EXIT ( [ENTER] )` 2 $ C $

    SD FAT32

    SD SD 01 2 LIB (@) 3 SD (!)

    SD 8.3 8 3 PC () STO RCL SD SD

  • 18-3

    SD STO Algebraic

    K 3 (:3:VAR1 ) `

    RPN 3 (:3:VAR1 ) K

    SD 8 3 8.3 DOS

    3D 3D RCL Algebraic 3 (:3:VAR1) `

    RPN 3 (:3:VAR1 )

    RCL RPN :3: {path}`RCL DOS RCL 8.3

  • 18-4

    3D 3D PURGE Algebraic I @PURGE 3 (:3:VAR1 ) `

    RPN 3 (:3:VAR1 ) I @PURGE

    PURGE 8.3

  • 18-5

    3D SD SD @FORMA

    SD SD SD PROG1 SD PROGS 1

    !3~~progs/ prog1`K

    SD PROGS PROG1

    PROGS

    3

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

  • 19-1

    19 300 15 100 1

    RPN -117 -117 Numeric Solver

    Projectile Motion 1 2

    SI# #UNIT#

    H~f2` G`#EQLIB #EQNLI

    2 [Motion] ~m`

    3 [Projectile Motion]

  • 19-2

    #PIC#

    4 [Projectile Motion] 5

    5 ()

    #EQN# #NXEQ# #NXEQ# #NXEQ# #NXEQ#

    5 #VARS#

    50 (O) 65 (R) (v0) 30

    1

  • 19-3

    #SOLV#

    2 x0 y0 0 L

    0 *!!!!!!X0!!!!!+ 0 *!!!!!!Y0!!!!!+ 50 *!!!!!!0!!!!!+ L65*!!!!!!R!!!!!+

    3 (v0) ! !

    !*!!!!!!V0!!!!!+

    4 R 2 x R

    @ ##R#- 2/LL*!!!!!!X!!!!!+

  • 19-4

    5 (y)

    ! *!!!!!!Y!!!!!+

    6 (30 ) (vo) R

    30 ##0#- L *!!!!!!V0!!!!!+

    ! *!!!!!!!!R!!!!!!!+

  • 19-5

    27

  • W-19-1

    HP 50g 12 1. HP HP HP

    HP

    2. HP HP HP HP

    3. HP HP

    4. HP

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

    6.

  • 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 +44-207-4580161 +420-5-41422523 +27-11-2376200 +32-2-7126219 +420-5-41422523 +61-3-9841-5211

  • W-19-4

    +61-3-9841-5211 0-810-555-5520

    3747-7799 0-800-157751

    5258-9922 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/support

  • W-19-5

    Federal Communications Commission Notice

    This equipment has been tested and found to comply with the limits 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 Notice

    Korean 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.