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HP 50g / 49g+ / 48gII graphing calculator
advanced userřs reference manual
H
Edition 2
HP part number F2228-90010
Printed Date: 2009/7/14
Notice
REGISTER YOUR PRODUCT AT: www.register.hp.com
THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED ―AS IS‖ AND ARE
SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO
WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED
TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS
FOR A PARTICULAR PURPOSE.
HEWLETT-PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR
CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR
USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN.
© Copyright 1993–1998, 2005, 2009 Hewlett-Packard Development Company, L.P.
Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-
Packard Company, except as allowed under the copyright laws.
Hewlett-Packard Company
4995 Murphy Canyon Rd,
Suite 301
San Diego, CA 92123
Acknowledgements
Hewlett-Packard would like to thank the following for their contribution:
Jordi Hidalgo, Joe Horn, Tony Hutchins, Ted Kerber, Wlodek Mier-Jedrzejowicz, Richard Nelson, Eric Rechlin,
Jake Schwartz and Gene Wright.
Printing History
Edition 1 September 2005
Edition 2 July 2009
Contents - 1
Contents
Contents ............................................................................................................................................................................................... 1
1. RPL Programming.......................................................................................................................................................................1-1
Understanding Programming .................................................................................................................................................1-1
The Contents of a Program.............................................................................................................................................1-1
Calculations in a Program................................................................................................................................................1-2
Entering and Executing Programs ........................................................................................................................................1-3
Viewing and Editing Programs ..............................................................................................................................................1-6
Creating Programs on a Computer........................................................................................................................................1-7
Using Local Variables..............................................................................................................................................................1-7
Creating Local Variables..................................................................................................................................................1-7
Evaluating Local Names..................................................................................................................................................1-9
Defining the Scope of Local Variables..........................................................................................................................1-9
Compiled Local Variables..............................................................................................................................................1-10
Creating User-Defined Functions as Programs.........................................................................................................1-10
Using Tests and Conditional Structures .............................................................................................................................1-11
Testing Conditions..........................................................................................................................................................1-11
Using Conditional Structures and Commands...........................................................................................................1-13
Using Loop Structures...........................................................................................................................................................1-17
Using Definite Loop Structures....................................................................................................................................1-17
Using Indefinite Loop Structures.................................................................................................................................1-22
Using Loop Counters.....................................................................................................................................................1-25
Using Summations Instead of Loops ..........................................................................................................................1-26
Using Flags ..............................................................................................................................................................................1-27
Types of Flags..................................................................................................................................................................1-27
Setting, Clearing, and Testing Flags.............................................................................................................................1-27
Recalling and Storing the Flag States...........................................................................................................................1-28
Using Subroutines ..................................................................................................................................................................1-29
Single-Stepping through a Program.....................................................................................................................................1-31
Trapping Errors......................................................................................................................................................................1-33
Causing and Analyzing Errors......................................................................................................................................1-33
Making an Error Trap....................................................................................................................................................1-35
Input.........................................................................................................................................................................................1-37
Data Input Commands ..................................................................................................................................................1-37
Using PROMPT, CONT for Input .............................................................................................................................1-37
Using DISP FREEZE HALT, CONT for Input......................................................................................................1-39
Using INPUT, ENTER for Input ...............................................................................................................................1-40
Using INFORM and CHOOSE for Input.................................................................................................................1-45
Beeping to Get Attention..............................................................................................................................................1-48
Stopping a Program for Keystroke Input...........................................................................................................................1-48
Using WAIT for Keystroke Input................................................................................................................................1-48
Using KEY for Keystroke Input..................................................................................................................................1-49
Output ..............................................................................................................................................................................1-49
Data Output Commands...............................................................................................................................................1-49
Labeling Output with Tags............................................................................................................................................1-50
Labeling and Displaying Output as Strings ................................................................................................................1-50
Pausing to Display Output............................................................................................................................................1-51
Using MSGBOX to Display Output...........................................................................................................................1-51
Using Menus with Programs ................................................................................................................................................1-52
Using Menus for Input...................................................................................................................................................1-52
Using Menus to Run Programs ....................................................................................................................................1-53
Turning Off the Calculator from a Program .....................................................................................................................1-55
2. RPL Programming Examples....................................................................................................................................................2-1
Contents - 2
Fibonacci Numbers..................................................................................................................................................................2-1
FIB1 (Fibonacci Numbers, Recursive Version)...........................................................................................................2-1
FIB2 (Fibonacci Numbers, Loop Version....................................................................................................................2-2
FIBT (Comparing Program-Execution Time).............................................................................................................2-4
Displaying a Binary Integer.....................................................................................................................................................2-5
PAD (Pad with Leading Spaces).....................................................................................................................................2-5
PRESERVE (Save and Restore Previous Status)........................................................................................................2-6
BDISP (Binary Display)...................................................................................................................................................2-7
Median of Statistics Data ......................................................................................................................................................2-10
%TILE (Percentile of a list)..........................................................................................................................................2-10
MEDIAN (Median of Statistics Data).........................................................................................................................2-11
Expanding and Collecting Completely................................................................................................................................2-13
MULTI (Multiple Execution) .......................................................................................................................................2-14
EXCO (Expand and Collect Completely) ..................................................................................................................2-15
Minimum and Maximum Array Elements..........................................................................................................................2-16
MNX (Minimum or Maximum Element—Version 1).............................................................................................2-16
MNX2 (Minimum or Maximum Element—Version 2)...........................................................................................2-18
Applying a Program to an Array..........................................................................................................................................2-20
Converting Between Number Bases ...................................................................................................................................2-22
Verifying Program Arguments.............................................................................................................................................2-24
NAMES (Check List for Exactly Two Names).........................................................................................................2-25
NAMES...................................................................................................................................................................................2-26
Converting Procedures from Algebraic to RPN...............................................................................................................2-27
Bessel Functions.....................................................................................................................................................................2-29
Animation of Successive Taylor‘s Polynomials.................................................................................................................2-31
SINTP (Converting a Plot to a Graphics Object).....................................................................................................2-31
Techniques used in SINTP ...........................................................................................................................................2-31
SETTS (Superimposing Taylor‘s polynomials)..........................................................................................................2-32
TSA (Animating Taylor‘s Polynomials).......................................................................................................................2-33
Programmatic Use of Statistics and Plotting......................................................................................................................2-34
Trace Mode .............................................................................................................................................................................2-37
Inverse-Function Solver........................................................................................................................................................2-38
Animating a Graphical Image...............................................................................................................................................2-39
3. Full Command and Function Reference..................................................................................................................................3-1
ABCUV......................................................................................................................................................................................3-5
ABS.............................................................................................................................................................................................3-5
ACK............................................................................................................................................................................................3-5
ACKALL ...................................................................................................................................................................................3-6
ACOS .........................................................................................................................................................................................3-6
ACOS2S.....................................................................................................................................................................................3-7
ACOSH......................................................................................................................................................................................3-8
ADD...........................................................................................................................................................................................3-9
ADDTMOD.............................................................................................................................................................................3-9
ADDTOREAL.......................................................................................................................................................................3-10
ALGB .......................................................................................................................................................................................3-10
ALOG ......................................................................................................................................................................................3-10
AMORT...................................................................................................................................................................................3-11
AND.........................................................................................................................................................................................3-11
ANIMATE ..............................................................................................................................................................................3-12
ANS..........................................................................................................................................................................................3-12
APPLY.....................................................................................................................................................................................3-13
ARC..........................................................................................................................................................................................3-13
ARCHIVE...............................................................................................................................................................................3-14
ARG..........................................................................................................................................................................................3-14
ARIT.........................................................................................................................................................................................3-15
ARRY→...................................................................................................................................................................................3-15
Contents - 3
→ARRY...................................................................................................................................................................................3-15
ASIN.........................................................................................................................................................................................3-15
ASIN2C....................................................................................................................................................................................3-17
ASIN2T....................................................................................................................................................................................3-17
ASINH.....................................................................................................................................................................................3-17
ASN..........................................................................................................................................................................................3-18
ASR...........................................................................................................................................................................................3-19
ASSUME .................................................................................................................................................................................3-19
ATAN ......................................................................................................................................................................................3-20
ATAN2S..................................................................................................................................................................................3-21
ATANH...................................................................................................................................................................................3-22
ATICK .....................................................................................................................................................................................3-22
ATTACH.................................................................................................................................................................................3-23
AUGMENT ............................................................................................................................................................................3-23
AUTO ......................................................................................................................................................................................3-24
AXES........................................................................................................................................................................................3-24
AXL ..........................................................................................................................................................................................3-25
AXM.........................................................................................................................................................................................3-25
AXQ .........................................................................................................................................................................................3-26
BAR ..........................................................................................................................................................................................3-26
BARPLOT...............................................................................................................................................................................3-27
BASIS.......................................................................................................................................................................................3-27
BAUD ......................................................................................................................................................................................3-27
BEEP........................................................................................................................................................................................3-28
BESTFIT .................................................................................................................................................................................3-28
BIN ...........................................................................................................................................................................................3-28
BINS.........................................................................................................................................................................................3-29
BLANK....................................................................................................................................................................................3-29
BOX .........................................................................................................................................................................................3-29
BUFLEN .................................................................................................................................................................................3-30
BYTES .....................................................................................................................................................................................3-30
B→R.........................................................................................................................................................................................3-30
C$..............................................................................................................................................................................................3-31
C2P ...........................................................................................................................................................................................3-31
CASCFG..................................................................................................................................................................................3-31
CASCMD.................................................................................................................................................................................3-32
CASE........................................................................................................................................................................................3-32
CEIL.........................................................................................................................................................................................3-33
CENTR....................................................................................................................................................................................3-33
CF..............................................................................................................................................................................................3-33
%CH.........................................................................................................................................................................................3-33
CHINREM..............................................................................................................................................................................3-34
CHOLESKY...........................................................................................................................................................................3-34
CHOOSE ................................................................................................................................................................................3-35
CHR..........................................................................................................................................................................................3-35
CIRC.........................................................................................................................................................................................3-36
CKSM.......................................................................................................................................................................................3-36
CLEAR.....................................................................................................................................................................................3-37
CLKADJ..................................................................................................................................................................................3-37
CLLCD ....................................................................................................................................................................................3-37
CLOSEIO ...............................................................................................................................................................................3-37
CLΣ...........................................................................................................................................................................................3-38
CLUSR.....................................................................................................................................................................................3-38
CLVAR ....................................................................................................................................................................................3-38
CMPLX....................................................................................................................................................................................3-38
CNRM......................................................................................................................................................................................3-38
Contents - 4
→COL .....................................................................................................................................................................................3-39
COL→ .....................................................................................................................................................................................3-39
COL–........................................................................................................................................................................................3-39
COL+.......................................................................................................................................................................................3-40
COLCT....................................................................................................................................................................................3-40
COLLECT...............................................................................................................................................................................3-40
COLΣ.......................................................................................................................................................................................3-41
COMB......................................................................................................................................................................................3-41
CON.........................................................................................................................................................................................3-41
COND .....................................................................................................................................................................................3-42
CONIC ....................................................................................................................................................................................3-43
CONJ .......................................................................................................................................................................................3-43
CONLIB ..................................................................................................................................................................................3-44
CONST....................................................................................................................................................................................3-44
CONSTANTS ........................................................................................................................................................................3-44
CONT......................................................................................................................................................................................3-45
CONVERT .............................................................................................................................................................................3-45
CORR.......................................................................................................................................................................................3-45
COS ..........................................................................................................................................................................................3-46
COSH.......................................................................................................................................................................................3-46
COV .........................................................................................................................................................................................3-46
CR .............................................................................................................................................................................................3-47
CRDIR .....................................................................................................................................................................................3-47
CROSS .....................................................................................................................................................................................3-47
CSWP .......................................................................................................................................................................................3-47
CURL .......................................................................................................................................................................................3-48
CYCLOTOMIC.....................................................................................................................................................................3-48
CYLIN .....................................................................................................................................................................................3-48
C→PX......................................................................................................................................................................................3-49
C→R.........................................................................................................................................................................................3-49
DARCY....................................................................................................................................................................................3-49
DATE.......................................................................................................................................................................................3-49
→DATE ..................................................................................................................................................................................3-50
DATE+....................................................................................................................................................................................3-50
DBUG......................................................................................................................................................................................3-50
DDAYS....................................................................................................................................................................................3-51
DEC..........................................................................................................................................................................................3-51
DECR.......................................................................................................................................................................................3-51
DEDICACE ...........................................................................................................................................................................3-52
DEF ..........................................................................................................................................................................................3-52
DEFINE..................................................................................................................................................................................3-52
DEG .........................................................................................................................................................................................3-53
DEGREE................................................................................................................................................................................3-53
DELALARM ..........................................................................................................................................................................3-53
DELAY....................................................................................................................................................................................3-54
DELKEYS ..............................................................................................................................................................................3-54
DEPND...................................................................................................................................................................................3-55
DEPTH....................................................................................................................................................................................3-55
DERIV.....................................................................................................................................................................................3-56
DERVX ...................................................................................................................................................................................3-56
DESOLVE ..............................................................................................................................................................................3-56
DET..........................................................................................................................................................................................3-57
DETACH ................................................................................................................................................................................3-57
DIAG→...................................................................................................................................................................................3-58
→DIAG...................................................................................................................................................................................3-58
DIAGMAP..............................................................................................................................................................................3-58
Contents - 5
DIFF.........................................................................................................................................................................................3-59
DIFFEQ ..................................................................................................................................................................................3-59
DIR...........................................................................................................................................................................................3-60
DISP.........................................................................................................................................................................................3-60
DISPXY...................................................................................................................................................................................3-61
DISTRIB..................................................................................................................................................................................3-61
DIV...........................................................................................................................................................................................3-62
DIV2.........................................................................................................................................................................................3-62
DIV2MOD..............................................................................................................................................................................3-62
DIVIS.......................................................................................................................................................................................3-63
DIVMOD................................................................................................................................................................................3-63
DIVPC .....................................................................................................................................................................................3-63
dn ..............................................................................................................................................................................................3-64
DO............................................................................................................................................................................................3-64
DOERR ...................................................................................................................................................................................3-65
DOLIST...................................................................................................................................................................................3-65
DOMAIN................................................................................................................................................................................3-66
DOSUBS .................................................................................................................................................................................3-66
DOT.........................................................................................................................................................................................3-67
DRAW .....................................................................................................................................................................................3-68
DRAW3DMATRIX ..............................................................................................................................................................3-68
DRAX ......................................................................................................................................................................................3-68
DROITE..................................................................................................................................................................................3-69
DROP ......................................................................................................................................................................................3-69
DROP2 ....................................................................................................................................................................................3-69
DROPN...................................................................................................................................................................................3-70
DTAG......................................................................................................................................................................................3-70
DUP..........................................................................................................................................................................................3-70
DUP2........................................................................................................................................................................................3-70
DUPDUP ................................................................................................................................................................................3-71
DUPN ......................................................................................................................................................................................3-71
D→R........................................................................................................................................................................................3-71
e.................................................................................................................................................................................................3-71
EDIT ........................................................................................................................................................................................3-72
EDITB .....................................................................................................................................................................................3-72
EGCD ......................................................................................................................................................................................3-72
EGV .........................................................................................................................................................................................3-73
EGVL.......................................................................................................................................................................................3-73
ELSE ........................................................................................................................................................................................3-73
END .........................................................................................................................................................................................3-73
ENDSUB.................................................................................................................................................................................3-74
ENG .........................................................................................................................................................................................3-74
EPSX0......................................................................................................................................................................................3-74
EQNLIB..................................................................................................................................................................................3-75
EQW ........................................................................................................................................................................................3-75
EQ→........................................................................................................................................................................................3-75
ERASE.....................................................................................................................................................................................3-75
ERR0........................................................................................................................................................................................3-76
ERRM ......................................................................................................................................................................................3-76
ERRN.......................................................................................................................................................................................3-76
EULER ....................................................................................................................................................................................3-76
EVAL .......................................................................................................................................................................................3-77
EXLR .......................................................................................................................................................................................3-77
EXP&LN.................................................................................................................................................................................3-78
EXP ..........................................................................................................................................................................................3-78
EXP2HYP...............................................................................................................................................................................3-79
Contents - 6
EXP2POW..............................................................................................................................................................................3-79
EXPAN....................................................................................................................................................................................3-79
EXPAND ................................................................................................................................................................................3-80
EXPANDMOD .....................................................................................................................................................................3-80
EXPFIT ...................................................................................................................................................................................3-81
EXPLN ....................................................................................................................................................................................3-81
EXPM ......................................................................................................................................................................................3-81
EYEPT.....................................................................................................................................................................................3-81
F0λ ............................................................................................................................................................................................3-82
FACT........................................................................................................................................................................................3-82
FACTOR.................................................................................................................................................................................3-82
FACTORMOD......................................................................................................................................................................3-83
FACTORS...............................................................................................................................................................................3-83
FANNING..............................................................................................................................................................................3-84
FAST3D...................................................................................................................................................................................3-84
FCOEF ....................................................................................................................................................................................3-85
FC?............................................................................................................................................................................................3-85
FC?C.........................................................................................................................................................................................3-85
FDISTRIB ...............................................................................................................................................................................3-86
FFT...........................................................................................................................................................................................3-86
FILER ......................................................................................................................................................................................3-87
FINDALARM ........................................................................................................................................................................3-87
FINISH ....................................................................................................................................................................................3-87
FIX............................................................................................................................................................................................3-87
FLASHEVAL .........................................................................................................................................................................3-88
FLOOR....................................................................................................................................................................................3-88
FONT6 ....................................................................................................................................................................................3-88
FONT7 ....................................................................................................................................................................................3-89
FONT8 ....................................................................................................................................................................................3-89
FONT→..................................................................................................................................................................................3-89
→FONT..................................................................................................................................................................................3-89
FOR..........................................................................................................................................................................................3-90
FOURIER ...............................................................................................................................................................................3-91
FP..............................................................................................................................................................................................3-91
FREE........................................................................................................................................................................................3-91
FREEZE..................................................................................................................................................................................3-91
FROOTS .................................................................................................................................................................................3-92
FS?.............................................................................................................................................................................................3-92
FS?C..........................................................................................................................................................................................3-93
FUNCTION ...........................................................................................................................................................................3-93
FXND ......................................................................................................................................................................................3-94
GAMMA..................................................................................................................................................................................3-95
GAUSS.....................................................................................................................................................................................3-95
GBASIS....................................................................................................................................................................................3-95
GCD.........................................................................................................................................................................................3-96
GCDMOD..............................................................................................................................................................................3-96
GET..........................................................................................................................................................................................3-96
GETI ........................................................................................................................................................................................3-97
GOR.........................................................................................................................................................................................3-98
GRAD......................................................................................................................................................................................3-98
GRAMSCHMIDT .................................................................................................................................................................3-99
GRAPH ...................................................................................................................................................................................3-99
GREDUCE.............................................................................................................................................................................3-99
GRIDMAP............................................................................................................................................................................3-100
→GROB................................................................................................................................................................................3-100
GROB ....................................................................................................................................................................................3-101
Contents - 7
GROBADD ..........................................................................................................................................................................3-101
GXOR....................................................................................................................................................................................3-101
*H............................................................................................................................................................................................3-102
HADAMARD ......................................................................................................................................................................3-102
HALFTAN............................................................................................................................................................................3-102
HALT.....................................................................................................................................................................................3-102
HEAD....................................................................................................................................................................................3-103
HEADER→ .........................................................................................................................................................................3-103
→HEADER .........................................................................................................................................................................3-103
HELP .....................................................................................................................................................................................3-103
HERMITE ............................................................................................................................................................................3-104
HESS......................................................................................................................................................................................3-104
HEX .......................................................................................................................................................................................3-104
HILBERT..............................................................................................................................................................................3-105
HISTOGRAM......................................................................................................................................................................3-105
HISTPLOT ...........................................................................................................................................................................3-106
HMS–.....................................................................................................................................................................................3-106
HMS+ ....................................................................................................................................................................................3-106
HMS→...................................................................................................................................................................................3-107
→HMS...................................................................................................................................................................................3-107
HOME ...................................................................................................................................................................................3-108
HORNER..............................................................................................................................................................................3-108
i................................................................................................................................................................................................3-108
IABCUV ................................................................................................................................................................................3-108
IBASIS ...................................................................................................................................................................................3-109
IBERNOULLI .....................................................................................................................................................................3-109
IBP ..........................................................................................................................................................................................3-109
ICHINREM ..........................................................................................................................................................................3-110
IDN ........................................................................................................................................................................................3-110
IDIV2.....................................................................................................................................................................................3-111
IEGCD ..................................................................................................................................................................................3-111
IF.............................................................................................................................................................................................3-112
IFERR ....................................................................................................................................................................................3-112
IFFT .......................................................................................................................................................................................3-113
IFT..........................................................................................................................................................................................3-114
IFTE .......................................................................................................................................................................................3-114
ILAP .......................................................................................................................................................................................3-114
IM............................................................................................................................................................................................3-115
IMAGE..................................................................................................................................................................................3-115
INCR......................................................................................................................................................................................3-116
INDEP...................................................................................................................................................................................3-116
INFORM...............................................................................................................................................................................3-116
INPUT ...................................................................................................................................................................................3-117
INT .........................................................................................................................................................................................3-118
INTEGER.............................................................................................................................................................................3-119
INTVX...................................................................................................................................................................................3-119
INV.........................................................................................................................................................................................3-119
INVMOD..............................................................................................................................................................................3-120
IP.............................................................................................................................................................................................3-120
IQUOT ..................................................................................................................................................................................3-120
IREMAINDER ....................................................................................................................................................................3-121
ISOL.......................................................................................................................................................................................3-121
ISOM......................................................................................................................................................................................3-121
ISPRIME?..............................................................................................................................................................................3-122
I→R ........................................................................................................................................................................................3-122
JORDAN...............................................................................................................................................................................3-122
Contents - 8
KER........................................................................................................................................................................................3-123
KERRM .................................................................................................................................................................................3-123
KEY........................................................................................................................................................................................3-123
KEYEVAL............................................................................................................................................................................3-124
→KEYTIME........................................................................................................................................................................3-124
KEYTIME→........................................................................................................................................................................3-125
KGET ....................................................................................................................................................................................3-125
KILL.......................................................................................................................................................................................3-125
LABEL...................................................................................................................................................................................3-125
LAGRANGE........................................................................................................................................................................3-126
LANGUAGE→...................................................................................................................................................................3-126
→LANGUAGE...................................................................................................................................................................3-126
LAP.........................................................................................................................................................................................3-127
LAPL......................................................................................................................................................................................3-127
LAST ......................................................................................................................................................................................3-127
LASTARG.............................................................................................................................................................................3-128
LCD→ ...................................................................................................................................................................................3-128
→LCD ...................................................................................................................................................................................3-128
LCM........................................................................................................................................................................................3-128
LCXM ....................................................................................................................................................................................3-129
LDEC .....................................................................................................................................................................................3-129
LEGENDRE........................................................................................................................................................................3-130
LGCD ....................................................................................................................................................................................3-130
LIBEVAL ..............................................................................................................................................................................3-130
LIBS........................................................................................................................................................................................3-130
lim ...........................................................................................................................................................................................3-131
LIMIT.....................................................................................................................................................................................3-131
LIN .........................................................................................................................................................................................3-131
LINE ......................................................................................................................................................................................3-132
LINE....................................................................................................................................................................................3-132
LINFIT ..................................................................................................................................................................................3-132
LININ ....................................................................................................................................................................................3-133
LINSOLVE...........................................................................................................................................................................3-133
LIST→ ...................................................................................................................................................................................3-133
→LIST ...................................................................................................................................................................................3-133
∆LIST.....................................................................................................................................................................................3-134
LIST ....................................................................................................................................................................................3-134
ΣLIST.....................................................................................................................................................................................3-134
LN...........................................................................................................................................................................................3-134
LNAME.................................................................................................................................................................................3-136
LNCOLLECT ......................................................................................................................................................................3-136
LNP1......................................................................................................................................................................................3-136
LOCAL..................................................................................................................................................................................3-137
LOG .......................................................................................................................................................................................3-137
LOGFIT ................................................................................................................................................................................3-138
LQ...........................................................................................................................................................................................3-138
LR............................................................................................................................................................................................3-138
LSQ.........................................................................................................................................................................................3-139
LU...........................................................................................................................................................................................3-139
LVAR .....................................................................................................................................................................................3-140
MAD.......................................................................................................................................................................................3-140
MAIN.....................................................................................................................................................................................3-141
MANT....................................................................................................................................................................................3-141
MAP........................................................................................................................................................................................3-141
↓MATCH...............................................................................................................................................................................3-141
↑MATCH...............................................................................................................................................................................3-142
Contents - 9
MATHS..................................................................................................................................................................................3-143
MATR ....................................................................................................................................................................................3-143
MAX.......................................................................................................................................................................................3-143
MAXR....................................................................................................................................................................................3-144
MAX ....................................................................................................................................................................................3-144
MCALC..................................................................................................................................................................................3-144
MEAN....................................................................................................................................................................................3-145
MEM ......................................................................................................................................................................................3-145
MENU ...................................................................................................................................................................................3-145
MENUXY .............................................................................................................................................................................3-146
MERGE.................................................................................................................................................................................3-147
MIN........................................................................................................................................................................................3-147
MINEHUNT ........................................................................................................................................................................3-147
MINIFONT→ .....................................................................................................................................................................3-148
→MINIFONT .....................................................................................................................................................................3-148
MINIT....................................................................................................................................................................................3-148
MINR .....................................................................................................................................................................................3-148
MINΣ .....................................................................................................................................................................................3-149
MITM.....................................................................................................................................................................................3-149
MKISOM...............................................................................................................................................................................3-149
MOD......................................................................................................................................................................................3-150
MODSTO .............................................................................................................................................................................3-150
MODULAR ..........................................................................................................................................................................3-150
MOLWT................................................................................................................................................................................3-151
MROOT ................................................................................................................................................................................3-151
MSGBOX..............................................................................................................................................................................3-151
MSLV .....................................................................................................................................................................................3-152
MSOLVR...............................................................................................................................................................................3-152
MULTMOD..........................................................................................................................................................................3-153
MUSER..................................................................................................................................................................................3-153
→NDISP ...............................................................................................................................................................................3-153
NDIST ...................................................................................................................................................................................3-154
NDUPN.................................................................................................................................................................................3-154
NEG .......................................................................................................................................................................................3-154
NEWOB ................................................................................................................................................................................3-155
NEXT ....................................................................................................................................................................................3-155
NEXT ....................................................................................................................................................................................3-155
NEXTPRIME.......................................................................................................................................................................3-155
NIP .........................................................................................................................................................................................3-156
NOT.......................................................................................................................................................................................3-156
NOVAL.................................................................................................................................................................................3-156
NΣ...........................................................................................................................................................................................3-157
NSUB.....................................................................................................................................................................................3-157
→NUM..................................................................................................................................................................................3-157
NUM ......................................................................................................................................................................................3-157
NUMX ...................................................................................................................................................................................3-158
NUMY ...................................................................................................................................................................................3-158
OBJ→.....................................................................................................................................................................................3-158
OCT........................................................................................................................................................................................3-159
OFF ........................................................................................................................................................................................3-159
OLDPRT...............................................................................................................................................................................3-159
OPENIO ...............................................................................................................................................................................3-160
OR...........................................................................................................................................................................................3-160
ORDER .................................................................................................................................................................................3-161
OVER ....................................................................................................................................................................................3-161
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Advanced user’s reference manual

  • 1. HP 50g / 49g+ / 48gII graphing calculator advanced userřs reference manual H Edition 2 HP part number F2228-90010 Printed Date: 2009/7/14
  • 2.
  • 3. Notice REGISTER YOUR PRODUCT AT: www.register.hp.com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED ―AS IS‖ AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE. HEWLETT-PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN. © Copyright 1993–1998, 2005, 2009 Hewlett-Packard Development Company, L.P. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett- Packard Company, except as allowed under the copyright laws. Hewlett-Packard Company 4995 Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Acknowledgements Hewlett-Packard would like to thank the following for their contribution: Jordi Hidalgo, Joe Horn, Tony Hutchins, Ted Kerber, Wlodek Mier-Jedrzejowicz, Richard Nelson, Eric Rechlin, Jake Schwartz and Gene Wright. Printing History Edition 1 September 2005 Edition 2 July 2009
  • 4.
  • 5. Contents - 1 Contents Contents ............................................................................................................................................................................................... 1 1. RPL Programming.......................................................................................................................................................................1-1 Understanding Programming .................................................................................................................................................1-1 The Contents of a Program.............................................................................................................................................1-1 Calculations in a Program................................................................................................................................................1-2 Entering and Executing Programs ........................................................................................................................................1-3 Viewing and Editing Programs ..............................................................................................................................................1-6 Creating Programs on a Computer........................................................................................................................................1-7 Using Local Variables..............................................................................................................................................................1-7 Creating Local Variables..................................................................................................................................................1-7 Evaluating Local Names..................................................................................................................................................1-9 Defining the Scope of Local Variables..........................................................................................................................1-9 Compiled Local Variables..............................................................................................................................................1-10 Creating User-Defined Functions as Programs.........................................................................................................1-10 Using Tests and Conditional Structures .............................................................................................................................1-11 Testing Conditions..........................................................................................................................................................1-11 Using Conditional Structures and Commands...........................................................................................................1-13 Using Loop Structures...........................................................................................................................................................1-17 Using Definite Loop Structures....................................................................................................................................1-17 Using Indefinite Loop Structures.................................................................................................................................1-22 Using Loop Counters.....................................................................................................................................................1-25 Using Summations Instead of Loops ..........................................................................................................................1-26 Using Flags ..............................................................................................................................................................................1-27 Types of Flags..................................................................................................................................................................1-27 Setting, Clearing, and Testing Flags.............................................................................................................................1-27 Recalling and Storing the Flag States...........................................................................................................................1-28 Using Subroutines ..................................................................................................................................................................1-29 Single-Stepping through a Program.....................................................................................................................................1-31 Trapping Errors......................................................................................................................................................................1-33 Causing and Analyzing Errors......................................................................................................................................1-33 Making an Error Trap....................................................................................................................................................1-35 Input.........................................................................................................................................................................................1-37 Data Input Commands ..................................................................................................................................................1-37 Using PROMPT, CONT for Input .............................................................................................................................1-37 Using DISP FREEZE HALT, CONT for Input......................................................................................................1-39 Using INPUT, ENTER for Input ...............................................................................................................................1-40 Using INFORM and CHOOSE for Input.................................................................................................................1-45 Beeping to Get Attention..............................................................................................................................................1-48 Stopping a Program for Keystroke Input...........................................................................................................................1-48 Using WAIT for Keystroke Input................................................................................................................................1-48 Using KEY for Keystroke Input..................................................................................................................................1-49 Output ..............................................................................................................................................................................1-49 Data Output Commands...............................................................................................................................................1-49 Labeling Output with Tags............................................................................................................................................1-50 Labeling and Displaying Output as Strings ................................................................................................................1-50 Pausing to Display Output............................................................................................................................................1-51 Using MSGBOX to Display Output...........................................................................................................................1-51 Using Menus with Programs ................................................................................................................................................1-52 Using Menus for Input...................................................................................................................................................1-52 Using Menus to Run Programs ....................................................................................................................................1-53 Turning Off the Calculator from a Program .....................................................................................................................1-55 2. RPL Programming Examples....................................................................................................................................................2-1
  • 6. Contents - 2 Fibonacci Numbers..................................................................................................................................................................2-1 FIB1 (Fibonacci Numbers, Recursive Version)...........................................................................................................2-1 FIB2 (Fibonacci Numbers, Loop Version....................................................................................................................2-2 FIBT (Comparing Program-Execution Time).............................................................................................................2-4 Displaying a Binary Integer.....................................................................................................................................................2-5 PAD (Pad with Leading Spaces).....................................................................................................................................2-5 PRESERVE (Save and Restore Previous Status)........................................................................................................2-6 BDISP (Binary Display)...................................................................................................................................................2-7 Median of Statistics Data ......................................................................................................................................................2-10 %TILE (Percentile of a list)..........................................................................................................................................2-10 MEDIAN (Median of Statistics Data).........................................................................................................................2-11 Expanding and Collecting Completely................................................................................................................................2-13 MULTI (Multiple Execution) .......................................................................................................................................2-14 EXCO (Expand and Collect Completely) ..................................................................................................................2-15 Minimum and Maximum Array Elements..........................................................................................................................2-16 MNX (Minimum or Maximum Element—Version 1).............................................................................................2-16 MNX2 (Minimum or Maximum Element—Version 2)...........................................................................................2-18 Applying a Program to an Array..........................................................................................................................................2-20 Converting Between Number Bases ...................................................................................................................................2-22 Verifying Program Arguments.............................................................................................................................................2-24 NAMES (Check List for Exactly Two Names).........................................................................................................2-25 NAMES...................................................................................................................................................................................2-26 Converting Procedures from Algebraic to RPN...............................................................................................................2-27 Bessel Functions.....................................................................................................................................................................2-29 Animation of Successive Taylor‘s Polynomials.................................................................................................................2-31 SINTP (Converting a Plot to a Graphics Object).....................................................................................................2-31 Techniques used in SINTP ...........................................................................................................................................2-31 SETTS (Superimposing Taylor‘s polynomials)..........................................................................................................2-32 TSA (Animating Taylor‘s Polynomials).......................................................................................................................2-33 Programmatic Use of Statistics and Plotting......................................................................................................................2-34 Trace Mode .............................................................................................................................................................................2-37 Inverse-Function Solver........................................................................................................................................................2-38 Animating a Graphical Image...............................................................................................................................................2-39 3. Full Command and Function Reference..................................................................................................................................3-1 ABCUV......................................................................................................................................................................................3-5 ABS.............................................................................................................................................................................................3-5 ACK............................................................................................................................................................................................3-5 ACKALL ...................................................................................................................................................................................3-6 ACOS .........................................................................................................................................................................................3-6 ACOS2S.....................................................................................................................................................................................3-7 ACOSH......................................................................................................................................................................................3-8 ADD...........................................................................................................................................................................................3-9 ADDTMOD.............................................................................................................................................................................3-9 ADDTOREAL.......................................................................................................................................................................3-10 ALGB .......................................................................................................................................................................................3-10 ALOG ......................................................................................................................................................................................3-10 AMORT...................................................................................................................................................................................3-11 AND.........................................................................................................................................................................................3-11 ANIMATE ..............................................................................................................................................................................3-12 ANS..........................................................................................................................................................................................3-12 APPLY.....................................................................................................................................................................................3-13 ARC..........................................................................................................................................................................................3-13 ARCHIVE...............................................................................................................................................................................3-14 ARG..........................................................................................................................................................................................3-14 ARIT.........................................................................................................................................................................................3-15 ARRY→...................................................................................................................................................................................3-15
  • 7. Contents - 3 →ARRY...................................................................................................................................................................................3-15 ASIN.........................................................................................................................................................................................3-15 ASIN2C....................................................................................................................................................................................3-17 ASIN2T....................................................................................................................................................................................3-17 ASINH.....................................................................................................................................................................................3-17 ASN..........................................................................................................................................................................................3-18 ASR...........................................................................................................................................................................................3-19 ASSUME .................................................................................................................................................................................3-19 ATAN ......................................................................................................................................................................................3-20 ATAN2S..................................................................................................................................................................................3-21 ATANH...................................................................................................................................................................................3-22 ATICK .....................................................................................................................................................................................3-22 ATTACH.................................................................................................................................................................................3-23 AUGMENT ............................................................................................................................................................................3-23 AUTO ......................................................................................................................................................................................3-24 AXES........................................................................................................................................................................................3-24 AXL ..........................................................................................................................................................................................3-25 AXM.........................................................................................................................................................................................3-25 AXQ .........................................................................................................................................................................................3-26 BAR ..........................................................................................................................................................................................3-26 BARPLOT...............................................................................................................................................................................3-27 BASIS.......................................................................................................................................................................................3-27 BAUD ......................................................................................................................................................................................3-27 BEEP........................................................................................................................................................................................3-28 BESTFIT .................................................................................................................................................................................3-28 BIN ...........................................................................................................................................................................................3-28 BINS.........................................................................................................................................................................................3-29 BLANK....................................................................................................................................................................................3-29 BOX .........................................................................................................................................................................................3-29 BUFLEN .................................................................................................................................................................................3-30 BYTES .....................................................................................................................................................................................3-30 B→R.........................................................................................................................................................................................3-30 C$..............................................................................................................................................................................................3-31 C2P ...........................................................................................................................................................................................3-31 CASCFG..................................................................................................................................................................................3-31 CASCMD.................................................................................................................................................................................3-32 CASE........................................................................................................................................................................................3-32 CEIL.........................................................................................................................................................................................3-33 CENTR....................................................................................................................................................................................3-33 CF..............................................................................................................................................................................................3-33 %CH.........................................................................................................................................................................................3-33 CHINREM..............................................................................................................................................................................3-34 CHOLESKY...........................................................................................................................................................................3-34 CHOOSE ................................................................................................................................................................................3-35 CHR..........................................................................................................................................................................................3-35 CIRC.........................................................................................................................................................................................3-36 CKSM.......................................................................................................................................................................................3-36 CLEAR.....................................................................................................................................................................................3-37 CLKADJ..................................................................................................................................................................................3-37 CLLCD ....................................................................................................................................................................................3-37 CLOSEIO ...............................................................................................................................................................................3-37 CLΣ...........................................................................................................................................................................................3-38 CLUSR.....................................................................................................................................................................................3-38 CLVAR ....................................................................................................................................................................................3-38 CMPLX....................................................................................................................................................................................3-38 CNRM......................................................................................................................................................................................3-38
  • 8. Contents - 4 →COL .....................................................................................................................................................................................3-39 COL→ .....................................................................................................................................................................................3-39 COL–........................................................................................................................................................................................3-39 COL+.......................................................................................................................................................................................3-40 COLCT....................................................................................................................................................................................3-40 COLLECT...............................................................................................................................................................................3-40 COLΣ.......................................................................................................................................................................................3-41 COMB......................................................................................................................................................................................3-41 CON.........................................................................................................................................................................................3-41 COND .....................................................................................................................................................................................3-42 CONIC ....................................................................................................................................................................................3-43 CONJ .......................................................................................................................................................................................3-43 CONLIB ..................................................................................................................................................................................3-44 CONST....................................................................................................................................................................................3-44 CONSTANTS ........................................................................................................................................................................3-44 CONT......................................................................................................................................................................................3-45 CONVERT .............................................................................................................................................................................3-45 CORR.......................................................................................................................................................................................3-45 COS ..........................................................................................................................................................................................3-46 COSH.......................................................................................................................................................................................3-46 COV .........................................................................................................................................................................................3-46 CR .............................................................................................................................................................................................3-47 CRDIR .....................................................................................................................................................................................3-47 CROSS .....................................................................................................................................................................................3-47 CSWP .......................................................................................................................................................................................3-47 CURL .......................................................................................................................................................................................3-48 CYCLOTOMIC.....................................................................................................................................................................3-48 CYLIN .....................................................................................................................................................................................3-48 C→PX......................................................................................................................................................................................3-49 C→R.........................................................................................................................................................................................3-49 DARCY....................................................................................................................................................................................3-49 DATE.......................................................................................................................................................................................3-49 →DATE ..................................................................................................................................................................................3-50 DATE+....................................................................................................................................................................................3-50 DBUG......................................................................................................................................................................................3-50 DDAYS....................................................................................................................................................................................3-51 DEC..........................................................................................................................................................................................3-51 DECR.......................................................................................................................................................................................3-51 DEDICACE ...........................................................................................................................................................................3-52 DEF ..........................................................................................................................................................................................3-52 DEFINE..................................................................................................................................................................................3-52 DEG .........................................................................................................................................................................................3-53 DEGREE................................................................................................................................................................................3-53 DELALARM ..........................................................................................................................................................................3-53 DELAY....................................................................................................................................................................................3-54 DELKEYS ..............................................................................................................................................................................3-54 DEPND...................................................................................................................................................................................3-55 DEPTH....................................................................................................................................................................................3-55 DERIV.....................................................................................................................................................................................3-56 DERVX ...................................................................................................................................................................................3-56 DESOLVE ..............................................................................................................................................................................3-56 DET..........................................................................................................................................................................................3-57 DETACH ................................................................................................................................................................................3-57 DIAG→...................................................................................................................................................................................3-58 →DIAG...................................................................................................................................................................................3-58 DIAGMAP..............................................................................................................................................................................3-58
  • 9. Contents - 5 DIFF.........................................................................................................................................................................................3-59 DIFFEQ ..................................................................................................................................................................................3-59 DIR...........................................................................................................................................................................................3-60 DISP.........................................................................................................................................................................................3-60 DISPXY...................................................................................................................................................................................3-61 DISTRIB..................................................................................................................................................................................3-61 DIV...........................................................................................................................................................................................3-62 DIV2.........................................................................................................................................................................................3-62 DIV2MOD..............................................................................................................................................................................3-62 DIVIS.......................................................................................................................................................................................3-63 DIVMOD................................................................................................................................................................................3-63 DIVPC .....................................................................................................................................................................................3-63 dn ..............................................................................................................................................................................................3-64 DO............................................................................................................................................................................................3-64 DOERR ...................................................................................................................................................................................3-65 DOLIST...................................................................................................................................................................................3-65 DOMAIN................................................................................................................................................................................3-66 DOSUBS .................................................................................................................................................................................3-66 DOT.........................................................................................................................................................................................3-67 DRAW .....................................................................................................................................................................................3-68 DRAW3DMATRIX ..............................................................................................................................................................3-68 DRAX ......................................................................................................................................................................................3-68 DROITE..................................................................................................................................................................................3-69 DROP ......................................................................................................................................................................................3-69 DROP2 ....................................................................................................................................................................................3-69 DROPN...................................................................................................................................................................................3-70 DTAG......................................................................................................................................................................................3-70 DUP..........................................................................................................................................................................................3-70 DUP2........................................................................................................................................................................................3-70 DUPDUP ................................................................................................................................................................................3-71 DUPN ......................................................................................................................................................................................3-71 D→R........................................................................................................................................................................................3-71 e.................................................................................................................................................................................................3-71 EDIT ........................................................................................................................................................................................3-72 EDITB .....................................................................................................................................................................................3-72 EGCD ......................................................................................................................................................................................3-72 EGV .........................................................................................................................................................................................3-73 EGVL.......................................................................................................................................................................................3-73 ELSE ........................................................................................................................................................................................3-73 END .........................................................................................................................................................................................3-73 ENDSUB.................................................................................................................................................................................3-74 ENG .........................................................................................................................................................................................3-74 EPSX0......................................................................................................................................................................................3-74 EQNLIB..................................................................................................................................................................................3-75 EQW ........................................................................................................................................................................................3-75 EQ→........................................................................................................................................................................................3-75 ERASE.....................................................................................................................................................................................3-75 ERR0........................................................................................................................................................................................3-76 ERRM ......................................................................................................................................................................................3-76 ERRN.......................................................................................................................................................................................3-76 EULER ....................................................................................................................................................................................3-76 EVAL .......................................................................................................................................................................................3-77 EXLR .......................................................................................................................................................................................3-77 EXP&LN.................................................................................................................................................................................3-78 EXP ..........................................................................................................................................................................................3-78 EXP2HYP...............................................................................................................................................................................3-79
  • 10. Contents - 6 EXP2POW..............................................................................................................................................................................3-79 EXPAN....................................................................................................................................................................................3-79 EXPAND ................................................................................................................................................................................3-80 EXPANDMOD .....................................................................................................................................................................3-80 EXPFIT ...................................................................................................................................................................................3-81 EXPLN ....................................................................................................................................................................................3-81 EXPM ......................................................................................................................................................................................3-81 EYEPT.....................................................................................................................................................................................3-81 F0λ ............................................................................................................................................................................................3-82 FACT........................................................................................................................................................................................3-82 FACTOR.................................................................................................................................................................................3-82 FACTORMOD......................................................................................................................................................................3-83 FACTORS...............................................................................................................................................................................3-83 FANNING..............................................................................................................................................................................3-84 FAST3D...................................................................................................................................................................................3-84 FCOEF ....................................................................................................................................................................................3-85 FC?............................................................................................................................................................................................3-85 FC?C.........................................................................................................................................................................................3-85 FDISTRIB ...............................................................................................................................................................................3-86 FFT...........................................................................................................................................................................................3-86 FILER ......................................................................................................................................................................................3-87 FINDALARM ........................................................................................................................................................................3-87 FINISH ....................................................................................................................................................................................3-87 FIX............................................................................................................................................................................................3-87 FLASHEVAL .........................................................................................................................................................................3-88 FLOOR....................................................................................................................................................................................3-88 FONT6 ....................................................................................................................................................................................3-88 FONT7 ....................................................................................................................................................................................3-89 FONT8 ....................................................................................................................................................................................3-89 FONT→..................................................................................................................................................................................3-89 →FONT..................................................................................................................................................................................3-89 FOR..........................................................................................................................................................................................3-90 FOURIER ...............................................................................................................................................................................3-91 FP..............................................................................................................................................................................................3-91 FREE........................................................................................................................................................................................3-91 FREEZE..................................................................................................................................................................................3-91 FROOTS .................................................................................................................................................................................3-92 FS?.............................................................................................................................................................................................3-92 FS?C..........................................................................................................................................................................................3-93 FUNCTION ...........................................................................................................................................................................3-93 FXND ......................................................................................................................................................................................3-94 GAMMA..................................................................................................................................................................................3-95 GAUSS.....................................................................................................................................................................................3-95 GBASIS....................................................................................................................................................................................3-95 GCD.........................................................................................................................................................................................3-96 GCDMOD..............................................................................................................................................................................3-96 GET..........................................................................................................................................................................................3-96 GETI ........................................................................................................................................................................................3-97 GOR.........................................................................................................................................................................................3-98 GRAD......................................................................................................................................................................................3-98 GRAMSCHMIDT .................................................................................................................................................................3-99 GRAPH ...................................................................................................................................................................................3-99 GREDUCE.............................................................................................................................................................................3-99 GRIDMAP............................................................................................................................................................................3-100 →GROB................................................................................................................................................................................3-100 GROB ....................................................................................................................................................................................3-101
  • 11. Contents - 7 GROBADD ..........................................................................................................................................................................3-101 GXOR....................................................................................................................................................................................3-101 *H............................................................................................................................................................................................3-102 HADAMARD ......................................................................................................................................................................3-102 HALFTAN............................................................................................................................................................................3-102 HALT.....................................................................................................................................................................................3-102 HEAD....................................................................................................................................................................................3-103 HEADER→ .........................................................................................................................................................................3-103 →HEADER .........................................................................................................................................................................3-103 HELP .....................................................................................................................................................................................3-103 HERMITE ............................................................................................................................................................................3-104 HESS......................................................................................................................................................................................3-104 HEX .......................................................................................................................................................................................3-104 HILBERT..............................................................................................................................................................................3-105 HISTOGRAM......................................................................................................................................................................3-105 HISTPLOT ...........................................................................................................................................................................3-106 HMS–.....................................................................................................................................................................................3-106 HMS+ ....................................................................................................................................................................................3-106 HMS→...................................................................................................................................................................................3-107 →HMS...................................................................................................................................................................................3-107 HOME ...................................................................................................................................................................................3-108 HORNER..............................................................................................................................................................................3-108 i................................................................................................................................................................................................3-108 IABCUV ................................................................................................................................................................................3-108 IBASIS ...................................................................................................................................................................................3-109 IBERNOULLI .....................................................................................................................................................................3-109 IBP ..........................................................................................................................................................................................3-109 ICHINREM ..........................................................................................................................................................................3-110 IDN ........................................................................................................................................................................................3-110 IDIV2.....................................................................................................................................................................................3-111 IEGCD ..................................................................................................................................................................................3-111 IF.............................................................................................................................................................................................3-112 IFERR ....................................................................................................................................................................................3-112 IFFT .......................................................................................................................................................................................3-113 IFT..........................................................................................................................................................................................3-114 IFTE .......................................................................................................................................................................................3-114 ILAP .......................................................................................................................................................................................3-114 IM............................................................................................................................................................................................3-115 IMAGE..................................................................................................................................................................................3-115 INCR......................................................................................................................................................................................3-116 INDEP...................................................................................................................................................................................3-116 INFORM...............................................................................................................................................................................3-116 INPUT ...................................................................................................................................................................................3-117 INT .........................................................................................................................................................................................3-118 INTEGER.............................................................................................................................................................................3-119 INTVX...................................................................................................................................................................................3-119 INV.........................................................................................................................................................................................3-119 INVMOD..............................................................................................................................................................................3-120 IP.............................................................................................................................................................................................3-120 IQUOT ..................................................................................................................................................................................3-120 IREMAINDER ....................................................................................................................................................................3-121 ISOL.......................................................................................................................................................................................3-121 ISOM......................................................................................................................................................................................3-121 ISPRIME?..............................................................................................................................................................................3-122 I→R ........................................................................................................................................................................................3-122 JORDAN...............................................................................................................................................................................3-122
  • 12. Contents - 8 KER........................................................................................................................................................................................3-123 KERRM .................................................................................................................................................................................3-123 KEY........................................................................................................................................................................................3-123 KEYEVAL............................................................................................................................................................................3-124 →KEYTIME........................................................................................................................................................................3-124 KEYTIME→........................................................................................................................................................................3-125 KGET ....................................................................................................................................................................................3-125 KILL.......................................................................................................................................................................................3-125 LABEL...................................................................................................................................................................................3-125 LAGRANGE........................................................................................................................................................................3-126 LANGUAGE→...................................................................................................................................................................3-126 →LANGUAGE...................................................................................................................................................................3-126 LAP.........................................................................................................................................................................................3-127 LAPL......................................................................................................................................................................................3-127 LAST ......................................................................................................................................................................................3-127 LASTARG.............................................................................................................................................................................3-128 LCD→ ...................................................................................................................................................................................3-128 →LCD ...................................................................................................................................................................................3-128 LCM........................................................................................................................................................................................3-128 LCXM ....................................................................................................................................................................................3-129 LDEC .....................................................................................................................................................................................3-129 LEGENDRE........................................................................................................................................................................3-130 LGCD ....................................................................................................................................................................................3-130 LIBEVAL ..............................................................................................................................................................................3-130 LIBS........................................................................................................................................................................................3-130 lim ...........................................................................................................................................................................................3-131 LIMIT.....................................................................................................................................................................................3-131 LIN .........................................................................................................................................................................................3-131 LINE ......................................................................................................................................................................................3-132 LINE....................................................................................................................................................................................3-132 LINFIT ..................................................................................................................................................................................3-132 LININ ....................................................................................................................................................................................3-133 LINSOLVE...........................................................................................................................................................................3-133 LIST→ ...................................................................................................................................................................................3-133 →LIST ...................................................................................................................................................................................3-133 ∆LIST.....................................................................................................................................................................................3-134 LIST ....................................................................................................................................................................................3-134 ΣLIST.....................................................................................................................................................................................3-134 LN...........................................................................................................................................................................................3-134 LNAME.................................................................................................................................................................................3-136 LNCOLLECT ......................................................................................................................................................................3-136 LNP1......................................................................................................................................................................................3-136 LOCAL..................................................................................................................................................................................3-137 LOG .......................................................................................................................................................................................3-137 LOGFIT ................................................................................................................................................................................3-138 LQ...........................................................................................................................................................................................3-138 LR............................................................................................................................................................................................3-138 LSQ.........................................................................................................................................................................................3-139 LU...........................................................................................................................................................................................3-139 LVAR .....................................................................................................................................................................................3-140 MAD.......................................................................................................................................................................................3-140 MAIN.....................................................................................................................................................................................3-141 MANT....................................................................................................................................................................................3-141 MAP........................................................................................................................................................................................3-141 ↓MATCH...............................................................................................................................................................................3-141 ↑MATCH...............................................................................................................................................................................3-142
  • 13. Contents - 9 MATHS..................................................................................................................................................................................3-143 MATR ....................................................................................................................................................................................3-143 MAX.......................................................................................................................................................................................3-143 MAXR....................................................................................................................................................................................3-144 MAX ....................................................................................................................................................................................3-144 MCALC..................................................................................................................................................................................3-144 MEAN....................................................................................................................................................................................3-145 MEM ......................................................................................................................................................................................3-145 MENU ...................................................................................................................................................................................3-145 MENUXY .............................................................................................................................................................................3-146 MERGE.................................................................................................................................................................................3-147 MIN........................................................................................................................................................................................3-147 MINEHUNT ........................................................................................................................................................................3-147 MINIFONT→ .....................................................................................................................................................................3-148 →MINIFONT .....................................................................................................................................................................3-148 MINIT....................................................................................................................................................................................3-148 MINR .....................................................................................................................................................................................3-148 MINΣ .....................................................................................................................................................................................3-149 MITM.....................................................................................................................................................................................3-149 MKISOM...............................................................................................................................................................................3-149 MOD......................................................................................................................................................................................3-150 MODSTO .............................................................................................................................................................................3-150 MODULAR ..........................................................................................................................................................................3-150 MOLWT................................................................................................................................................................................3-151 MROOT ................................................................................................................................................................................3-151 MSGBOX..............................................................................................................................................................................3-151 MSLV .....................................................................................................................................................................................3-152 MSOLVR...............................................................................................................................................................................3-152 MULTMOD..........................................................................................................................................................................3-153 MUSER..................................................................................................................................................................................3-153 →NDISP ...............................................................................................................................................................................3-153 NDIST ...................................................................................................................................................................................3-154 NDUPN.................................................................................................................................................................................3-154 NEG .......................................................................................................................................................................................3-154 NEWOB ................................................................................................................................................................................3-155 NEXT ....................................................................................................................................................................................3-155 NEXT ....................................................................................................................................................................................3-155 NEXTPRIME.......................................................................................................................................................................3-155 NIP .........................................................................................................................................................................................3-156 NOT.......................................................................................................................................................................................3-156 NOVAL.................................................................................................................................................................................3-156 NΣ...........................................................................................................................................................................................3-157 NSUB.....................................................................................................................................................................................3-157 →NUM..................................................................................................................................................................................3-157 NUM ......................................................................................................................................................................................3-157 NUMX ...................................................................................................................................................................................3-158 NUMY ...................................................................................................................................................................................3-158 OBJ→.....................................................................................................................................................................................3-158 OCT........................................................................................................................................................................................3-159 OFF ........................................................................................................................................................................................3-159 OLDPRT...............................................................................................................................................................................3-159 OPENIO ...............................................................................................................................................................................3-160 OR...........................................................................................................................................................................................3-160 ORDER .................................................................................................................................................................................3-161 OVER ....................................................................................................................................................................................3-161 P2C .........................................................................................................................................................................................3-162