HP 50g / 49g+ / 48gII graphing calculator advanced users reference manual advanced users reference manual advanced users reference manual advanced users reference manual H Edition 2 HP part number F2228-90010 Printed Date: 2009/7/14 Notice REGISTER YOUR PRODUCT AT: www.register.hp.com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED AS IS AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-PACKARD COMPANY MAKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS MANUAL, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE. HEWLETT-PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN. Copyright 19931998, 2005, 2009 Hewlett-Packard Development Company, L.P. Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-Packard Company, except as allowed under the copyright laws. Hewlett-Packard Company 4995 Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Acknowledgements Hewlett-Packard would like to thank the following for their contribution: Jordi Hidalgo, Joe Horn, Tony Hutchins, Ted Kerber, Wlodek Mier-Jedrzejowicz, Richard Nelson, Eric Rechlin, Jake Schwartz and Gene Wright. Printing History Edition 1 September 2005 Edition 2 July 2009 Contents - 1 Contents Contents ............................................................................................................................................................................................... 1 1. RPL Programming....................................................................................................................................................................... 1-1 Understanding Programming ................................................................................................................................................. 1-1 The Contents of a Program............................................................................................................................................. 1-1 Calculations in a Program................................................................................................................................................ 1-2 Entering and Executing Programs ........................................................................................................................................ 1-3 Viewing and Editing Programs .............................................................................................................................................. 1-6 Creating Programs on a Computer........................................................................................................................................ 1-7 Using Local Variables .............................................................................................................................................................. 1-7 Creating Local Variables .................................................................................................................................................. 1-7 Evaluating Local Names.................................................................................................................................................. 1-9 Defining the Scope of Local Variables.......................................................................................................................... 1-9 Compiled Local Variables..............................................................................................................................................1-10 Creating User-Defined Functions as Programs .........................................................................................................1-10 Using Tests and Conditional Structures .............................................................................................................................1-11 Testing Conditions..........................................................................................................................................................1-11 Using Conditional Structures and Commands...........................................................................................................1-13 Using Loop Structures...........................................................................................................................................................1-17 Using Definite Loop Structures....................................................................................................................................1-17 Using Indefinite Loop Structures.................................................................................................................................1-22 Using Loop Counters.....................................................................................................................................................1-25 Using Summations Instead of Loops ..........................................................................................................................1-26 Using Flags ..............................................................................................................................................................................1-27 Types of Flags..................................................................................................................................................................1-27 Setting, Clearing, and Testing Flags .............................................................................................................................1-27 Recalling and Storing the Flag States...........................................................................................................................1-28 Using Subroutines ..................................................................................................................................................................1-29 Single-Stepping through a Program.....................................................................................................................................1-31 Trapping Errors......................................................................................................................................................................1-33 Causing and Analyzing Errors ......................................................................................................................................1-33 Making an Error Trap....................................................................................................................................................1-35 Input .........................................................................................................................................................................................1-37 Data Input Commands ..................................................................................................................................................1-37 Using PROMPT, CONT for Input .............................................................................................................................1-37 Using DISP FREEZE HALT, CONT for Input......................................................................................................1-39 Using INPUT, ENTER for Input ...............................................................................................................................1-40 Using INFORM and CHOOSE for Input .................................................................................................................1-45 Beeping to Get Attention..............................................................................................................................................1-48 Stopping a Program for Keystroke Input...........................................................................................................................1-48 Using WAIT for Keystroke Input................................................................................................................................1-48 Using KEY for Keystroke Input..................................................................................................................................1-49 Output ..............................................................................................................................................................................1-49 Data Output Commands ...............................................................................................................................................1-49 Labeling Output with Tags............................................................................................................................................1-50 Labeling and Displaying Output as Strings ................................................................................................................1-50 Pausing to Display Output ............................................................................................................................................1-51 Using MSGBOX to Display Output ...........................................................................................................................1-51 Using Menus with Programs ................................................................................................................................................1-52 Using Menus for Input...................................................................................................................................................1-52 Using Menus to Run Programs ....................................................................................................................................1-53 Turning Off the Calculator from a Program.....................................................................................................................1-55 2. RPL Programming Examples.................................................................................................................................................... 2-1 Contents - 2 Fibonacci Numbers.................................................................................................................................................................. 2-1 FIB1 (Fibonacci Numbers, Recursive Version)........................................................................................................... 2-1 FIB2 (Fibonacci Numbers, Loop Version....................................................................................................................2-2 FIBT (Comparing Program-Execution Time) ............................................................................................................. 2-4 Displaying a Binary Integer..................................................................................................................................................... 2-5 PAD (Pad with Leading Spaces)..................................................................................................................................... 2-5 PRESERVE (Save and Restore Previous Status) ........................................................................................................ 2-6 BDISP (Binary Display)................................................................................................................................................... 2-7 Median of Statistics Data ......................................................................................................................................................2-10 %TILE (Percentile of a list) ..........................................................................................................................................2-10 MEDIAN (Median of Statistics Data).........................................................................................................................2-11 Expanding and Collecting Completely................................................................................................................................2-13 MULTI (Multiple Execution) .......................................................................................................................................2-14 EXCO (Expand and Collect Completely) ..................................................................................................................2-15 Minimum and Maximum Array Elements..........................................................................................................................2-16 MNX (Minimum or Maximum ElementVersion 1) .............................................................................................2-16 MNX2 (Minimum or Maximum ElementVersion 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 Taylors Polynomials .................................................................................................................2-31 SINTP (Converting a Plot to a Graphics Object) .....................................................................................................2-31 Techniques used in SINTP ...........................................................................................................................................2-31 SETTS (Superimposing Taylors polynomials) ..........................................................................................................2-32 TSA (Animating Taylors Polynomials).......................................................................................................................2-33 Programmatic Use of Statistics and Plotting......................................................................................................................2-34 Trace Mode .............................................................................................................................................................................2-37 Inverse-Function Solver ........................................................................................................................................................2-38 Animating a Graphical Image...............................................................................................................................................2-39 3. Full Command and Function Reference.................................................................................................................................. 3-1 ABCUV...................................................................................................................................................................................... 3-5 ABS............................................................................................................................................................................................. 3-5 ACK............................................................................................................................................................................................ 3-5 ACKALL................................................................................................................................................................................... 3-6 ACOS ......................................................................................................................................................................................... 3-6 ACOS2S..................................................................................................................................................................................... 3-7 ACOSH...................................................................................................................................................................................... 3-8 ADD........................................................................................................................................................................................... 3-9 ADDTMOD............................................................................................................................................................................. 3-9 ADDTOREAL.......................................................................................................................................................................3-10 ALGB.......................................................................................................................................................................................3-10 ALOG......................................................................................................................................................................................3-10 AMORT...................................................................................................................................................................................3-11 AND.........................................................................................................................................................................................3-11 ANIMATE..............................................................................................................................................................................3-12 ANS..........................................................................................................................................................................................3-12 APPLY.....................................................................................................................................................................................3-13 ARC..........................................................................................................................................................................................3-13 ARCHIVE...............................................................................................................................................................................3-14 ARG..........................................................................................................................................................................................3-14 ARIT.........................................................................................................................................................................................3-15 ARRY...................................................................................................................................................................................3-15 Contents - 3 ARRY...................................................................................................................................................................................3-15 ASIN.........................................................................................................................................................................................3-15 ASIN2C....................................................................................................................................................................................3-17 ASIN2T....................................................................................................................................................................................3-17 ASINH.....................................................................................................................................................................................3-17 ASN..........................................................................................................................................................................................3-18 ASR...........................................................................................................................................................................................3-19 ASSUME.................................................................................................................................................................................3-19 ATAN......................................................................................................................................................................................3-20 ATAN2S..................................................................................................................................................................................3-21 ATANH...................................................................................................................................................................................3-22 ATICK.....................................................................................................................................................................................3-22 ATTACH.................................................................................................................................................................................3-23 AUGMENT............................................................................................................................................................................3-23 AUTO......................................................................................................................................................................................3-24 AXES........................................................................................................................................................................................3-24 AXL..........................................................................................................................................................................................3-25 AXM.........................................................................................................................................................................................3-25 AXQ.........................................................................................................................................................................................3-26 BAR..........................................................................................................................................................................................3-26 BARPLOT...............................................................................................................................................................................3-27 BASIS.......................................................................................................................................................................................3-27 BAUD......................................................................................................................................................................................3-27 BEEP........................................................................................................................................................................................3-28 BESTFIT.................................................................................................................................................................................3-28 BIN...........................................................................................................................................................................................3-28 BINS.........................................................................................................................................................................................3-29 BLANK....................................................................................................................................................................................3-29 BOX.........................................................................................................................................................................................3-29 BUFLEN.................................................................................................................................................................................3-30 BYTES.....................................................................................................................................................................................3-30 BR.........................................................................................................................................................................................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 CL...........................................................................................................................................................................................3-38 CLUSR.....................................................................................................................................................................................3-38 CLVAR ....................................................................................................................................................................................3-38 CMPLX....................................................................................................................................................................................3-38 CNRM......................................................................................................................................................................................3-38 Contents - 4 COL.....................................................................................................................................................................................3-39 COL.....................................................................................................................................................................................3-39 COL........................................................................................................................................................................................3-39 COL+.......................................................................................................................................................................................3-40 COLCT....................................................................................................................................................................................3-40 COLLECT...............................................................................................................................................................................3-40 COL.......................................................................................................................................................................................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 CPX......................................................................................................................................................................................3-49 CR.........................................................................................................................................................................................3-49 DARCY....................................................................................................................................................................................3-49 DATE.......................................................................................................................................................................................3-49 DATE..................................................................................................................................................................................3-50 DATE+....................................................................................................................................................................................3-50 DBUG......................................................................................................................................................................................3-50 DDAYS....................................................................................................................................................................................3-51 DEC..........................................................................................................................................................................................3-51 DECR.......................................................................................................................................................................................3-51 DEDICACE...........................................................................................................................................................................3-52 DEF..........................................................................................................................................................................................3-52 DEFINE..................................................................................................................................................................................3-52 DEG.........................................................................................................................................................................................3-53 DEGREE................................................................................................................................................................................3-53 DELALARM..........................................................................................................................................................................3-53 DELAY....................................................................................................................................................................................3-54 DELKEYS ..............................................................................................................................................................................3-54 DEPND...................................................................................................................................................................................3-55 DEPTH....................................................................................................................................................................................3-55 DERIV.....................................................................................................................................................................................3-56 DERVX...................................................................................................................................................................................3-56 DESOLVE..............................................................................................................................................................................3-56 DET..........................................................................................................................................................................................3-57 DETACH................................................................................................................................................................................3-57 DIAG...................................................................................................................................................................................3-58 DIAG...................................................................................................................................................................................3-58 DIAGMAP..............................................................................................................................................................................3-58 Contents - 5 DIFF.........................................................................................................................................................................................3-59 DIFFEQ..................................................................................................................................................................................3-59 DIR...........................................................................................................................................................................................3-60 DISP.........................................................................................................................................................................................3-60 DISPXY...................................................................................................................................................................................3-61 DISTRIB..................................................................................................................................................................................3-61 DIV...........................................................................................................................................................................................3-62 DIV2.........................................................................................................................................................................................3-62 DIV2MOD..............................................................................................................................................................................3-62 DIVIS.......................................................................................................................................................................................3-63 DIVMOD................................................................................................................................................................................3-63 DIVPC.....................................................................................................................................................................................3-63 dn ..............................................................................................................................................................................................3-64 DO............................................................................................................................................................................................3-64 DOERR...................................................................................................................................................................................3-65 DOLIST...................................................................................................................................................................................3-65 DOMAIN................................................................................................................................................................................3-66 DOSUBS .................................................................................................................................................................................3-66 DOT.........................................................................................................................................................................................3-67 DRAW.....................................................................................................................................................................................3-68 DRAW3DMATRIX..............................................................................................................................................................3-68 DRAX......................................................................................................................................................................................3-68 DROITE..................................................................................................................................................................................3-69 DROP ......................................................................................................................................................................................3-69 DROP2 ....................................................................................................................................................................................3-69 DROPN...................................................................................................................................................................................3-70 DTAG......................................................................................................................................................................................3-70 DUP..........................................................................................................................................................................................3-70 DUP2........................................................................................................................................................................................3-70 DUPDUP................................................................................................................................................................................3-71 DUPN......................................................................................................................................................................................3-71 DR........................................................................................................................................................................................3-71 e .................................................................................................................................................................................................3-71 EDIT........................................................................................................................................................................................3-72 EDITB.....................................................................................................................................................................................3-72 EGCD......................................................................................................................................................................................3-72 EGV.........................................................................................................................................................................................3-73 EGVL.......................................................................................................................................................................................3-73 ELSE........................................................................................................................................................................................3-73 END.........................................................................................................................................................................................3-73 ENDSUB.................................................................................................................................................................................3-74 ENG.........................................................................................................................................................................................3-74 EPSX0......................................................................................................................................................................................3-74 EQNLIB..................................................................................................................................................................................3-75 EQW........................................................................................................................................................................................3-75 EQ........................................................................................................................................................................................3-75 ERASE.....................................................................................................................................................................................3-75 ERR0........................................................................................................................................................................................3-76 ERRM......................................................................................................................................................................................3-76 ERRN.......................................................................................................................................................................................3-76 EULER....................................................................................................................................................................................3-76 EVAL.......................................................................................................................................................................................3-77 EXLR.......................................................................................................................................................................................3-77 EXP&LN.................................................................................................................................................................................3-78 EXP..........................................................................................................................................................................................3-78 EXP2HYP...............................................................................................................................................................................3-79 Contents - 6 EXP2POW..............................................................................................................................................................................3-79 EXPAN....................................................................................................................................................................................3-79 EXPAND................................................................................................................................................................................3-80 EXPANDMOD.....................................................................................................................................................................3-80 EXPFIT...................................................................................................................................................................................3-81 EXPLN....................................................................................................................................................................................3-81 EXPM......................................................................................................................................................................................3-81 EYEPT.....................................................................................................................................................................................3-81 F0 ............................................................................................................................................................................................3-82 FACT........................................................................................................................................................................................3-82 FACTOR.................................................................................................................................................................................3-82 FACTORMOD......................................................................................................................................................................3-83 FACTORS...............................................................................................................................................................................3-83 FANNING..............................................................................................................................................................................3-84 FAST3D...................................................................................................................................................................................3-84 FCOEF ....................................................................................................................................................................................3-85 FC?............................................................................................................................................................................................3-85 FC?C.........................................................................................................................................................................................3-85 FDISTRIB...............................................................................................................................................................................3-86 FFT...........................................................................................................................................................................................3-86 FILER......................................................................................................................................................................................3-87 FINDALARM........................................................................................................................................................................3-87 FINISH....................................................................................................................................................................................3-87 FIX............................................................................................................................................................................................3-87 FLASHEVAL.........................................................................................................................................................................3-88 FLOOR....................................................................................................................................................................................3-88 FONT6 ....................................................................................................................................................................................3-88 FONT7 ....................................................................................................................................................................................3-89 FONT8 ....................................................................................................................................................................................3-89 FONT..................................................................................................................................................................................3-89 FONT..................................................................................................................................................................................3-89 FOR..........................................................................................................................................................................................3-90 FOURIER...............................................................................................................................................................................3-91 FP..............................................................................................................................................................................................3-91 FREE........................................................................................................................................................................................3-91 FREEZE..................................................................................................................................................................................3-91 FROOTS .................................................................................................................................................................................3-92 FS?.............................................................................................................................................................................................3-92 FS?C..........................................................................................................................................................................................3-93 FUNCTION...........................................................................................................................................................................3-93 FXND......................................................................................................................................................................................3-94 GAMMA..................................................................................................................................................................................3-95 GAUSS.....................................................................................................................................................................................3-95 GBASIS....................................................................................................................................................................................3-95 GCD.........................................................................................................................................................................................3-96 GCDMOD..............................................................................................................................................................................3-96 GET..........................................................................................................................................................................................3-96 GETI........................................................................................................................................................................................3-97 GOR.........................................................................................................................................................................................3-98 GRAD......................................................................................................................................................................................3-98 GRAMSCHMIDT.................................................................................................................................................................3-99 GRAPH...................................................................................................................................................................................3-99 GREDUCE.............................................................................................................................................................................3-99 GRIDMAP............................................................................................................................................................................3-100 GROB................................................................................................................................................................................3-100 GROB....................................................................................................................................................................................3-101 Contents - 7 GROBADD..........................................................................................................................................................................3-101 GXOR....................................................................................................................................................................................3-101 *H............................................................................................................................................................................................3-102 HADAMARD......................................................................................................................................................................3-102 HALFTAN............................................................................................................................................................................3-102 HALT.....................................................................................................................................................................................3-102 HEAD....................................................................................................................................................................................3-103 HEADER.........................................................................................................................................................................3-103 HEADER .........................................................................................................................................................................3-103 HELP.....................................................................................................................................................................................3-103 HERMITE............................................................................................................................................................................3-104 HESS......................................................................................................................................................................................3-104 HEX.......................................................................................................................................................................................3-104 HILBERT..............................................................................................................................................................................3-105 HISTOGRAM......................................................................................................................................................................3-105 HISTPLOT...........................................................................................................................................................................3-106 HMS.....................................................................................................................................................................................3-106 HMS+....................................................................................................................................................................................3-106 HMS...................................................................................................................................................................................3-107 HMS...................................................................................................................................................................................3-107 HOME...................................................................................................................................................................................3-108 HORNER..............................................................................................................................................................................3-108 i ................................................................................................................................................................................................3-108 IABCUV................................................................................................................................................................................3-108 IBASIS ...................................................................................................................................................................................3-109 IBERNOULLI .....................................................................................................................................................................3-109 IBP..........................................................................................................................................................................................3-109 ICHINREM..........................................................................................................................................................................3-110 IDN........................................................................................................................................................................................3-110 IDIV2.....................................................................................................................................................................................3-111 IEGCD..................................................................................................................................................................................3-111 IF.............................................................................................................................................................................................3-112 IFERR....................................................................................................................................................................................3-112 IFFT .......................................................................................................................................................................................3-113 IFT..........................................................................................................................................................................................3-114 IFTE.......................................................................................................................................................................................3-114 ILAP.......................................................................................................................................................................................3-114 IM............................................................................................................................................................................................3-115 IMAGE..................................................................................................................................................................................3-115 INCR......................................................................................................................................................................................3-116 INDEP...................................................................................................................................................................................3-116 INFORM...............................................................................................................................................................................3-116 INPUT...................................................................................................................................................................................3-117 INT.........................................................................................................................................................................................3-118 INTEGER.............................................................................................................................................................................3-119 INTVX...................................................................................................................................................................................3-119 INV.........................................................................................................................................................................................3-119 INVMOD..............................................................................................................................................................................3-120 IP.............................................................................................................................................................................................3-120 IQUOT..................................................................................................................................................................................3-120 IREMAINDER....................................................................................................................................................................3-121 ISOL.......................................................................................................................................................................................3-121 ISOM......................................................................................................................................................................................3-121 ISPRIME?..............................................................................................................................................................................3-122 IR........................................................................................................................................................................................3-122 JORDAN...............................................................................................................................................................................3-122 Contents - 8 KER........................................................................................................................................................................................3-123 KERRM.................................................................................................................................................................................3-123 KEY........................................................................................................................................................................................3-123 KEYEVAL............................................................................................................................................................................3-124 KEYTIME........................................................................................................................................................................3-124 KEYTIME........................................................................................................................................................................3-125 KGET....................................................................................................................................................................................3-125 KILL.......................................................................................................................................................................................3-125 LABEL...................................................................................................................................................................................3-125 LAGRANGE........................................................................................................................................................................3-126 LANGUAGE...................................................................................................................................................................3-126 LANGUAGE...................................................................................................................................................................3-126 LAP.........................................................................................................................................................................................3-127 LAPL......................................................................................................................................................................................3-127 LAST......................................................................................................................................................................................3-127 LASTARG.............................................................................................................................................................................3-128 LCD...................................................................................................................................................................................3-128 LCD...................................................................................................................................................................................3-128 LCM........................................................................................................................................................................................3-128 LCXM....................................................................................................................................................................................3-129 LDEC.....................................................................................................................................................................................3-129 LEGENDRE........................................................................................................................................................................3-130 LGCD....................................................................................................................................................................................3-130 LIBEVAL..............................................................................................................................................................................3-130 LIBS........................................................................................................................................................................................3-130 lim...........................................................................................................................................................................................3-131 LIMIT.....................................................................................................................................................................................3-131 LIN.........................................................................................................................................................................................3-131 LINE......................................................................................................................................................................................3-132 LINE....................................................................................................................................................................................3-132 LINFIT..................................................................................................................................................................................3-132 LININ....................................................................................................................................................................................3-133 LINSOLVE...........................................................................................................................................................................3-133 LIST...................................................................................................................................................................................3-133 LIST...................................................................................................................................................................................3-133 LIST.....................................................................................................................................................................................3-134 LIST....................................................................................................................................................................................3-134 LIST.....................................................................................................................................................................................3-134 LN...........................................................................................................................................................................................3-134 LNAME.................................................................................................................................................................................3-136 LNCOLLECT......................................................................................................................................................................3-136 LNP1......................................................................................................................................................................................3-136 LOCAL..................................................................................................................................................................................3-137 LOG.......................................................................................................................................................................................3-137 LOGFIT................................................................................................................................................................................3-138 LQ...........................................................................................................................................................................................3-138 LR............................................................................................................................................................................................3-138 LSQ.........................................................................................................................................................................................3-139 LU...........................................................................................................................................................................................3-139 LVAR.....................................................................................................................................................................................3-140 MAD.......................................................................................................................................................................................3-140 MAIN.....................................................................................................................................................................................3-141 MANT....................................................................................................................................................................................3-141 MAP........................................................................................................................................................................................3-141 MATCH...............................................................................................................................................................................3-141 MATCH...............................................................................................................................................................................3-142 Contents - 9 MATHS..................................................................................................................................................................................3-143 MATR ....................................................................................................................................................................................3-143 MAX.......................................................................................................................................................................................3-143 MAXR....................................................................................................................................................................................3-144 MAX....................................................................................................................................................................................3-144 MCALC..................................................................................................................................................................................3-144 MEAN....................................................................................................................................................................................3-145 MEM......................................................................................................................................................................................3-145 MENU...................................................................................................................................................................................3-145 MENUXY.............................................................................................................................................................................3-146 MERGE.................................................................................................................................................................................3-147 MIN........................................................................................................................................................................................3-147 MINEHUNT........................................................................................................................................................................3-147 MINIFONT.....................................................................................................................................................................3-148 MINIFONT.....................................................................................................................................................................3-148 MINIT....................................................................................................................................................................................3-148 MINR.....................................................................................................................................................................................3-148 MIN.....................................................................................................................................................................................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................................................................................................