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HP 50g / 49g+ / 48gII graphing calculator 
advanced user’s aaadddvvvaaannnccceeeddd uuussseeerrr’’’sss rrrreeeeffffeeeerrrreeeennnncccceeee mmmmaaaannnnuuuuaaaallll 
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 
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 - 1
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 - 2
→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 - 3
→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 - 4
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 - 5
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 - 6
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 - 7
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 
ΣLINE....................................................................................................................................................................................3-132 
LINFIT..................................................................................................................................................................................3-132 
LININ....................................................................................................................................................................................3-133 
LINSOLVE...........................................................................................................................................................................3-133 
LIST→...................................................................................................................................................................................3-133 
→LIST...................................................................................................................................................................................3-133 
ULIST.....................................................................................................................................................................................3-134 
ΠLIST....................................................................................................................................................................................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 - 8
MATHS..................................................................................................................................................................................3-143 
MATR ....................................................................................................................................................................................3-143 
MAX.......................................................................................................................................................................................3-143 
MAXR....................................................................................................................................................................................3-144 
MAXΣ....................................................................................................................................................................................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 
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Advanced user’s reference manual

  • 1. HP 50g / 49g+ / 48gII graphing calculator advanced user’s aaadddvvvaaannnccceeeddd uuussseeerrr’’’sss rrrreeeeffffeeeerrrreeeennnncccceeee mmmmaaaannnnuuuuaaaallll 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 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 - 1
  • 6. 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 - 2
  • 7. →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 - 3
  • 8. →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 - 4
  • 9. 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 - 5
  • 10. 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 - 6
  • 11. 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 - 7
  • 12. 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 ΣLINE....................................................................................................................................................................................3-132 LINFIT..................................................................................................................................................................................3-132 LININ....................................................................................................................................................................................3-133 LINSOLVE...........................................................................................................................................................................3-133 LIST→...................................................................................................................................................................................3-133 →LIST...................................................................................................................................................................................3-133 ULIST.....................................................................................................................................................................................3-134 ΠLIST....................................................................................................................................................................................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 - 8
  • 13. MATHS..................................................................................................................................................................................3-143 MATR ....................................................................................................................................................................................3-143 MAX.......................................................................................................................................................................................3-143 MAXR....................................................................................................................................................................................3-144 MAXΣ....................................................................................................................................................................................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 Contents - 9