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HP 48gII Graphing, 50g Graphing manual 132

Models: 50g Graphing 48gII Graphing

1 693

Page 683

H
H→		64
H→A		65
H→S		65
HADAMARD		3102
HALFTAN		3102
HALT		3102
HALT annunciator		131
halting programs		132
harmonic motion		540
HEAD		3103
head loss		520
HEADER→		3103
heat capacity		529
heat transfer		528
HELP		3103
HERMITE		3104
HESS		3104
HEX		3104
HILBERT		3105
HISTOGRAM		3105
HISTPLOT		3106
HMS		3106
HMS+		3107
HMS→		3107
HOME		3108
Hooke’s law		523
HORNER		3108
hourminuteseconds		....................3107
I
i		3108
I→R		3122
IABCUV		3108
IBASIS		3109
IBERNOULLI		3109
IBP		3109
ICHINREM		3110
ideal gases		525
IDIV2		3111
IDN		3110
IEGCD		3111
IERR		D13
IF		3112
if branching	113, 114, 136, 22, 216 , 218, 225
IFERR		3112
iferror branching		220
IFFT		3113
IFT		3114
IFTE		3114
ILAP		3115
IM		3115
IMAGE		3115
INCR		3116
indefinite loops		25, 214, 216

with counters	229
INDEP	3116
index of refraction	537
inductor	515, 517
Infinity	3289
INFORM	3116
INPUT	3117
input form	3116
input forms
custom	145
for program input	145
in programs	145
INT	3118
INTEGER	3119
Integrate	3288
integration by parts	3109
INTVX	3119
INV	3119
INVMOD	3120
IOPAR	D4
IP	3120
IQUOT	3120
IREMAINDER	3121
ISOL	3121
ISOM	3121
isothermal expansion	526
ISPRIME?	3122
J
JORDAN	3122
junction fieldeffect transistors	554
K
KER	3123
kernel	3123
KERRM	3123
KEY	3123
key bounce	3124, 3125
key location numbers	148
keyboard
customizing	318
in programs	148, 149
recall user keys	3194
reset keys	354
storing multiple keys	3237
KEYEVAL	3124
keypress, simulating	3124
keystrokes
as program input	148, 149
KEYTIME→	3125
KGET	3125
KILL	3125
killing programs	131, 132

Index 7

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Image 683

HP 48gII Graphing, 50g Graphing manual 132

Contents

Advanced user’s reference manual HP 50g / 49g+ / 48gII graphing calculatorPage Printing History AcknowledgementsPage Contents Amort NamesAlgb Alog317 COL→ DelalarmDelay →COL359 Expand FindalarmEXP2POW ExpanIferr HaltIBP IDIV2List Not MAXMaxr MINParsurface PA2B2Parametric Parity3183 Rolld RNDRnrm Roll3226 TAN Tabvar→TAG TailUtpf WireframeUpdir UtpcContents 514 →ALG Apeek ARM→ ASM ASM→ 610 Vpar AlrmdatCST Exited Expr Iopar MASD.INI Toff TparUnderstanding Programming Contents of a ProgramProgram Results Calculations in a ProgramExamples of Program Actions To store or name a program To enter commands and other objects in a programEntering and Executing Programs To enter a program@% @Ér # O4 /3 *!Ì Q3 @Ë@Ï To stop an executing program3Q!Ì*4`3/*@Ï 3Q!Ì*4#3/* @Ë@ÏOsph K LevelProgram Keys Comments @%SPH% ˜ To switch between entry modesViewing and Editing Programs To view or edit a program`J!%SPH% @%SPH% ˜ Using Local VariablesCreating Programs on a Computer Creating Local Variables`OSPHLV K Program CommentsDefining the Scope of Local Variables Evaluating Local NamesCreating UserDefined Functions as Programs Compiled Local VariablesTo include a test in a program Using Tests and Conditional StructuresTesting Conditions Key Programmable Description CommandTEST% L Using Logical FunctionsKeys Programmable Description Command Logical FunctionsTo enter IFT in a program Using Conditional Structures and CommandsTo enter if then END in a program Press !%BRCH% !%IF%Press !%BRCH% L!%IFTE% To enter if then Else END in a programPress !%BRCH% @%#IF#% To enter Ifte in a program or in an algebraicConditional Examples To enter Case END in a program26 `52 J %TST% Otst KWhile … Repeat … END Using Loop StructuresUsing Definite Loop Structures Press !%BRCH% !%START% Start Next Structure« … start finish Start loopclause Next … » To enter Start Next in a programPress ! %BRCH% … %START% Start Step Structure« … start finish Start loopclause increment Step … » To enter Start Step in a programPress !%BRCH% ! %FOR% For Next Structure« … start finish for counter loopclause Next … » To enter for Next in a programPress ! %BRCH% … %FOR% For Step Structure« … start finish for counter loopclause increment Step … » To enter for Step in a programTo enter do Until END in a program Using Indefinite Loop StructuresDo Until END Structure « … do loopclause Until testclause END … »Duplicates n, stores the value into n Press !%BRCH% ! %WHILE% While Repeat END Structure« … While testclause Repeat loopclause END … » To enter While Repeat END in a programPress ! #MEM# %ARITH% %INCR% or %DECR% Using Loop CountersTo enter Incr or Decr in a program ∑ j Using Summations Instead of LoopsTo set, clear, or test a flag Using FlagsSetting, Clearing, and Testing Flags Types of FlagsDay.month.year format Recalling and Storing the Flag StatesExample Month/day/year formatTo change the current flag states Using SubroutinesTo recall the current flag states Execute Rclf !L %MODES% %FLAG% L%RCLF%` 8 J %TORSV% Torsa KTorsv K @·J6 `8 `O%TORSV% !LL%RUN% %DBUG% To singlestep from the start of a programTo turn off the Halt annunciator at any time Press !LL %RUN% %KILL%@·J10 `12 O%TORSV% !LL%RUN% %DBUG% To singlestep when the next step is a subroutineTo singlestep from the middle of a program SingleStep Operations Trapping ErrorsCausing and Analyzing Errors To cause a userdefined error to occur in a program%ERROR% To artificially cause a builtin error to occur in a programTo analyze an error in a program Error Trapping CommandsIferr then END Structure Making an Error Trap« … Iferr trapclause then errorclause END … » Press !LL %ERROR% !%IFERR%To enter Iferr then Else END in a program Press !LL %ERROR% @%IFERR%Iferr then Else END Structure Input Data Input CommandsUsing PROMPT, Cont for Input Key Command Description@·J %TPROM% `OTPROMPT ‰To respond to Halt while running a program Using Disp Freeze HALT, Cont for InputTo enter Disp Freeze Halt in a program To respond to Input while running a program Using INPUT, Enter for Input« … promptstring commandline Input OBJ→ … » To enter Input in a program%VSPH% Cursorposition Commandline cursorposition operatingoptionsTo design the commandline string for Input To include Input options`O Tinput ‰ To process the result string from InputPress @ Õ ! Ê a @ %TINPU% To set up an input form Using Inform and Choose for InputTo set up a choose box `OPHONES ‰ To enter Wait in a program Using Wait for Keystroke InputBeeping to Get Attention To enter Beep in a programOUT% Using KEY for Keystroke InputData Output Commands Output%TTAG% 1.5 ˜1.85 ` Labeling Output with TagsLabeling and Displaying Output as Strings To label a result with a tag`OTSTRING ‰ Pausing to Display OutputUsing Msgbox to Display Output To set up a message boxUsing Menus for Input Using Menus with ProgramsSI% Using Menus to Run ProgramsTo create a menubased application Olst ‰@·J%EIZ% To turn off the calculator in a program Turning Off the Calculator from a Program%% !Ü.37~@6 68 %%I%% !%%Z%% @%%I%% 2*%%I%% !%%E%%Page RPL Programming Examples Fibonacci NumbersFIB1 Fibonacci Numbers, Recursive Version FIB1% !Ü10 N FIB2 Fibonacci Numbers, Loop Version%FIB1% 10 %FIB2% FIB2 program listing%FIB2% Required Programs Fibt Comparing ProgramExecution TimeTechniques used in Fibt Structured programming. Fibt calls both FIB1 and FIB2Techniques used in PAD Displaying a Binary IntegerPAD Pad with Leading Spaces 13 %FIBT%Techniques used in Preserve Preserve Save and Restore Previous StatusPAD program listing `OPAD K`OPRESERVE K Bdisp Binary DisplayPreserve program listing PAD Techniques used in Bdisp`OBDISP K Bdisp program listing144 %BDISP% Median of Statistics DataTile Percentile of a list `O%TILE K Median Median of Statistics DataTechniques used in %TILE Tile program listingRequired Program Techniques used in Median11 `1 ` Expanding and Collecting Completely`OMEDIAN K 18 `12 `˜šš`OMULTI K Multi Multiple ExecutionTechniques used in Multi Multi program listing`OEXCO K Exco Expand and Collect CompletelyTechniques used in Exco Exco program listingUser and system flags for logic control Minimum and Maximum Array ElementsMNX Minimum or Maximum Element-Version Ü4 *Y+Z +`OMNX K MNX program listingTechniques used in MNX2 MNX2 Minimum or Maximum Element-Version12 `56 `˜šš 45 `1 ` MNX2 program listing Aply program listing Applying a Program to an Array%MNX2% Techniques used in AplyMake sure the flag 1 is clear to begin Techniques used in nBASE Converting Between Number Bases`OAPLY K Ô3†2W†4` ‚Å 3 QA *7 `J %APLY% H#DISP ˜˜NBASE program listing 1000 `23 J %NBASE% Verifying Program Arguments`ONAMES K Names Check List for Exactly Two NamesTechniques used in Names Names program listingVFY program listing VFY Verify Program ArgumentTechniques used in VFY %LIST% %²LIST% Converting Procedures from Algebraic to RPNOben ` Ojeff ` Osarah `→RPN program listing Techniques used in →RPNTechniques used in BER Bessel FunctionsXQ3 `%²RPN% %BER% !Ü2 BER program listing`OBER K %BER%Sintp program listing Animation of Successive Taylor’s PolynomialsSintp Converting a Plot to a Graphics Object Techniques used in Sintp`OSETTS K Setts Superimposing Taylor’s polynomialsTechniques used in Setts Setts program listing`OTSA K TSA Animating Taylor’s PolynomialsTechniques used in TSA TSA program listingTemporary menu for data input Programmatic use of matrices and statistics commandsProgrammatic Use of Statistics and Plotting Techniques used in PIEAngle 983 %SLICE% 416 %SLICE% 85 %SLICE% `OPIE KßENTER program listing Trace ModeTechniques used in αENTER and ßENTER ΑENTER program listing`OROOTR K InverseFunction SolverTechniques used in Rootr Rootr program listingTechniques used in Walk Animating a Graphical Image@Å@É x †O3.7 %X²FX% ` 599.5 ` 1 %ROOTR%`OWALK K Input/Output IntroductionAcos TypeParallel Processing with Lists How Commands Are AlphabetizedOther Provided Details Classification of Operations Computer Algebra System Commands and FunctionsBinary integer Backup identifierRealnumber time or angle in hoursminutessecond s format Library identifierACK AbcuvABS Type Description AckallASIN, ATAN, COS, Isol ACOS2SSymb ACOSHsymb AcoshASIN2C, ASIN2T, ATAN2S Acosh zAddtmod ADD10z AddtorealAlgb AlogTVM, TVMBEG, TVMEND, Tvmroot AmortPrincipal Interest Balance ANS AnimateARC Access …µAPPLY Input/OutputApply ARG Archive→ARRY Access …µARRY→ Input/OutputArit ARRY→Access !¼ ¼is the leftshift of the Skey Asinh ASIN2CASIN2T ACOSH, ATANH, ISOL, Sinh ASNAsinh z Symb ASINHsymbSkey Access … ÃL BIT ASRASR AssumeADDTOREAL, Unassume AtanACOS, ASIN, ISOL, TAN ATAN2SAtan z Symb ATANsymbAtanh z Access …µATICKAtanh Atick#n #m Access …µATTACH Input/OutputAttach AugmentBAR Access …µAUTO Input/Output NoneAuto AxesAtick xaxis label yaxis label Access …µAXES Input/OutputAXL AXMAXL, AXM, GAUSS, QXA AXQBAR AXL, AXQBaud Access …µBAR Input/Output NoneBarplot BasisBestfit Access …µBESTFIT Input/Output NoneAccess … Ã BIN BeepBOX Access !L Pict BOX Is the leftshift of the NkeyBins Blank#n1 #m1 #n2 #m2 X1, y1 X2, y2 Access …µBUFLEN Input/OutputBuflen BytesCascfg Access … Ã B → RC2P Help CascmdCase FLOOR, IP, RND, Trnc CeilCentr Xunit Nunit Symb CEILsymbCholesky ChinremCHR Command ResultChoose REPL, SIZE, SUB CircCksm NUM, POSCloseio ClearClkadj CllcdCmplx CLΣClusr ClvarCOL →COLCOL→ Symb1 Symb2 COL+Colct CollectSymb COMBsymb ,m COMBn, symb COMBsymb ,symb ColσComb CONIDN CondRarray constant Carray constant NameConj Access …µCONIC Input/Output NoneConic Rarray Carray Symb CONJsymb ConlibConst ConstantsX1unitssource X2unitstarget X3unitstarget ContConvert CorrCOV Access FlagsCOS Cosh…µCR CrdirCross CswpCOL+, COL-, Rswp CurlCyclotomic Cylin#n, #m →PXDarcy Date→date →DATEDATE+ Dbug« program » or program name DdaysDEC DecrResult See also DedicaceDEF DefineName=exp Namename Name =expname DelalarmDEG DegreeCR, OLDPRT, PRLCD, PRST, PRSTC, PRVAR, PR1 DelayRCLALARM, Stoalarm DelkeysXkey1, ... ,xkey n Access …µDEPND Input/OutputDepnd DepthDesolve DerivDervx Attach Access …µDETACH Input/OutputDET DetachDiagmap DIAG→→DIAG Diffeq DiffDisp Access …µDIFFEQ Input/OutputDIR FREEZE, HALT, INPUT, Prompt DispxyDistrib Obj ListCURL, Hess DIVDIV2 DIV2MODDIV2 DivisDivmod DivpcEND TAYLOR0, TAYLR, SeriesDERIV, DERVX, DESOLVE, ∂ Until testclause ENDDolist ErrorDoerr SIGNTAB, Tabvar List List n « program » Results Command Name List n+1Domain DosubsCNRM, CROSS, DET, Rnrm List « program » Command NameDOT DOLIST, ENDSUB, NSUB, StreamDRAW3DMATRIX Access …µDRAWAccess …µDRAX Input/Output None DrawLagrange DroiteDrop DROP2DUP2 DropnDtag DUPDupn DupdupEgcd EditEditb END EGVEgvl ElseSign mantissa E sign exponent EndsubENG EPSX0Erase EqnlibEQW EQ→Euler ERR0Errm Errn→NUM EvalExlr Obj See aboveEx,y = excosy + iexsiny EXP&LNEXP Expan EXP2HYPEXP2POW Result X2+X ExpandExpandmod COLCT, EXPAND, ISOL, QUAD, ShowEyept ExpfitExpln Expm…µF0λ F0λFact FactorModsto FactormodFactors FAST3D Access …µFANNINGFanning FC? Access …µFAST3D Input/Output NoneAccess ! Test LL FC ? C FcoefDistrib FdistribFFT CF, FC?, FS? FS?C, SFFinish FindalarmAccess …µFINISH FilerXunit Nunit Symb FLOORsymb FlashevalFloor FONT6→FONT FONT7FONT8 FONT→For Xunit Yunit Symb FPsymb FourierFree FreezeCLLCD, DISP, Halt FrootsFS? Display Area Value CodeCF, FC?, FC?C, FS?C, SF FS?CFunction Exlr Access …µFUNCTIONFxnd AXQ, QXA GammaGauss GbasisGCDMOD, EGCD, IEGCD, LCM GCDGcdmod GETGETI, PUT, Puti GetiObjget #n #m Grob1 GORGrad GET, PUT, PutiDEG, RAD GramschmidtGraph Greduce→GROB Access …µGRIDMAP Input/Output NoneAccess …µ→GROB Gridmap→LCD, LCD→ GrobGrobadd GxorGOR, REPL, SUB HadamardHalftan HaltHelp HeadHEADER→ →HEADERCURL, DIV HermiteHess HEXHistogram HilbertHMS+ Access …µHISTPLOT Input/Output NoneHistplot HMS… &9L HMS → HMS→→HMS … & 9L HMS +Iabcuv HomeHorner ABCUV, Iegcd IbasisIbernoulli IBPChinrem IchinremIDN Results See alsoAx+by=c IDIV2Iegcd DIV2, IquotELSE, END, IFERR, then IferrCase Ifft ∑ Y k eObj It depends IFTIfte IlapRarray Carray Symb IMsymb ImageLAP, Lapl …ßIMGlobal Global xstart xend IncrIndep InformInit ResetsTitle Format Resets Init → vals InputPROMPT, STR→ Stack prompt Commandline prompt ResultINT INTVX, Risch IntegerIntvx INVIquot Command INVMOD2 ResultInvmod Symb1 Global Symb2 IremainderIsol IsomNEXTPRIME, Prevprime ISPRIME?Jordan MkisomBASIS, Image KERKerrm KEY→KEYTIME Access …µKEYEVAL Input/OutputKeyeval Label KEYTIME→Kget Kill→LANGUAGE Access …µ→LANGUAGE Input/OutputLagrange LANGUAGE→Objn Obj1 LAPLapl LastLCM LastargLCD→ →LCDLdec LcxmHERMITE, Tchebycheff LgcdLibeval LibsTitle, nlib, nport, ...,title, nlib, nport LimLimit LINModel Form of Expression LineΣline Linfit→LIST LininLinsolve LIST→Σlist ListΠlist Access …¹ ¹is the rightshift of the Qkey LNP1 LnameLncollect Symb LNP1symb LocalLOG Ln x +Logfit Access !Ø Input/OutputIntercept x Slope x Access …µLR Input/OutputFull Command and Function Reference 3139 LSQLname LvarMAD DET, INVMAP Access …µMAP Input/OutputMain MantSymb Symb symb Access …µ↓MATCH Input/OutputAccess …µ↑MATCH ↑MATCHSymb Symb , symb MathsMatr MAXInput/Output See also MaxrMaxσ McalcBINS, MAXΣ, MINΣ, SDEV, TOT, VAR MeanMEM MenuRCLMENU, Tmenu MenuxyMENU, Tmenu MergeMIN MinehuntMinr MINIFONT→→MINIFONT Minit00000000000E-499 MinσMitm MkisomMod y MODModsto ModularName Or xunit String MolwtMroot MsgboxMsolvr MslvEQNLIB, MCALC, MINIT, MITM, MROOT, MSLV, Muser MultmodMuser →NDISPNEG Access …ß NEG ßis the rightshift of the 1keyNdist NdupnNextprime NewobNext Noval Access ! Test L not Is the leftshift of the NkeyNIP Not…µNΣ Nsub→NUM NUMOBJ→ NumxNumy … &NL OBJ → OCTOFF OldprtOpenio Access …µOLDPRTAccess …µOPENIO Global1 ... globaln OrderOver Memory Directory Lorder is the leftshift of the NkeyXmin, ymin, xmax, ymax, indep, res, axes, ptype, depend P2CPA2B2 ParametricParity Access …µPARITY Input/OutputPartfrac ParsurfaceHome directoryname 1 ... directoryname n PathPcar PcoefPcov Access …µPCONTOUR Input/Output NonePcontour Xmax, ymax PdimPerinfo PermPick PertblPeval PgdirPinit Pict Command Puts the name Pict on the stackPict PicturePixon Access …µPKTPIX? PixoffPmin PlotPlotadd PmaxAn nxn matrix a PminiPolar Finds the minimal polynomial of a matrixForm of Current Plotting Action Equation Access …µPOLARPolynomial POPPowexpand Input An expression raised to a powerPOS PotentialPR1 PowmodObject PredvPredx …µPR1Preval PredyPromptsto PrevprimePrlcd PromptPrompt STO ProotPropfrac Global→Name Name1 name2 Nport global PrstPrstc PrvarMEAN, PCOV, PVAR, SDEV, TOT, VAR PsdevPSI PsiSymb String or x or xunit or name PtaylPtprop PurgeCLEAR, CLVAR, NEWOB, Pgdir PushPUT Global Global1 ... globalnObj put List Name This command sequencePuti Obj put ListMEAN, PCOV, PSDEV, SDEV, VAR PvarPvars Pwrfit Access …µPVARS Input/OutputNport namebackup Memory Pview+ c/d*i PX→C→Qπ LQ, LSQ Quad̟ + c/ d* ̟ + c/ dQuotient of the Euclidean division QuotQuote Arithmetic, !ÞPOLYNOMIAL !«Rank QXARAD RandLQ, LSQ, QR Access …µRATIORanm RatioSteq RceqRCI RcijRCL RclalarmRclmenu FINDALARM, StoalarmRclf RclkeysRDM RclvxRclσ Rcws…ßL RE RDZCOMB, PERM, Rand REsymb RecnRect RecvNew name Old name RemainderRename QuotEND, While ReorderRepeat ReplString String result Plot Type Default IntervalRES String targetSlopefield RestoreBackup To restore a ResultantRisch RevlistRewrite Rkferr RKFIs the rightshift 3key Problem for a differential equationRkfstep RNDsymb RLBRND RLB, RR, RRBRomupload RnrmRoll Rolld3207 RootROT ROW→ROW ROW+ROW→ RL, RLB, RRB Access … ÃL Byte RRB Is the rightshift of the 3keyRPL RRBRref RrefRRK RrefmodRrkstep − 2 t + t 2RKF, RKFERR, RKFSTEP, RRK, Rsberr RsberrRSD DET, IDN Access … Ã R → BRswp Rules→Dsymb Same→R, IM, RE 180/̟xScaleh Access …µSCALEH Input/OutputSbrk ScaleAUTO, SCALEH, Xrng ScatrplotScatter Sclσ Access …µSCATTER Input/Output NoneSchur SCISend SconjScroll SdevDOSUBS, Stream SEQSeries Seval ServerX1/cm3 ShowSidens SigmaSign Access !ÖDERIV LAccess !ÖDERIV LL SigmavxABS, MANT, Xpon SigntabSIMP2 SIGNsymbSin z SimplifySIN SincosSinh z SinhSinv SizeSymb Grob SLBSlopefield String Integer List VectorNEG, SCONJ, Sinv SnegSnrm Solveqn SolveSort SolverSolvevx SQsymb SphereSrad Square Analytic Function Returns the square of the argumentASR, SL, SLB, SR SRBSrecv COND, SNRM, TraceSST↓ Access …µSRECVSrepl SSTStep StartSTD Stime Access …µSTIMEStep SteqBuflen StoalarmAccess Input/Output STOÓis the rightshift of the 9 key Access …µSTOFStof StokeysSTO+ StoreStovx STO/, + DTAG, EQ→, LIST→, OBJ→, →STR StoσSTR→ →STRList Obj Result StreamStrm SturmSturmab SturmabStws SUBCHR, GOR, GXOR, NUM, POS, REPL, Size SubstSubtmod X1, y1 X2, y2DIAG→, MIN, SVL SVDSVL SwapSYST2MAT SysevalSylvester Symb 1, symb Tabval100 y X, symb→ARRY Tabvar→TAG TailTan z TANTAN2CS2 TAN2SCTANHsymb TAN2SC2Tanh Tanh zHERMITE, Legendre TAYLOR0Taylr TchebycheffTDELTAsymb1, symb2 TcollectTdelta TestsThen TevalTexpand TextTinc TicksTime →TIMESIMPLIFY, TCOLLECT, Texpand TlinTline TINCsymb1, symb2Tran TmenuTOT TraceBAUD, CKSM, Parity TransioTrig EffectTrigtan TrigcosTrigo TrigsinCONJ, Tran TRNTrnc TRNCsymb TruncTruth TRNCzTstr Access …µTRUTH Input/Output NoneTsimp Tvmend TvarsTVM TvmbegObject Type Number User objects Builtin CommandsType UbaseUnassume UfactUFL1→MINIF UnassignUnpick Unbind→UNIT Utpc UnrotUntil UpdirUTPC, UTPN, Utpt UtpfUtpn UTPF, UTPN, UtptUVALsymb UtptUval X1, x2, ..., xn Xn-2 Flag -16 clear Rectangular mode Flag -16 set Polar mode € yCoordinate System -16, Complex Mode X1, x2VAR VandermondeVersion Access …µVERSION Input/OutputVars VERVisitb Variable name Contents opened in the command line EditorVariable name Contents opened in the most suitable Editor VisitWait Access ! L in Wait Is the leftshift of the NkeyVtype While Repeat WireframeWhile While testclause Repeat loopclause ENDWslog Log4 ... log1 Access …µWSLOGAccess …µΣX Input/Output ΣX2Xmit ΣX2Xcol XgetXOR Access …µXMITXnum MANT, Sign XponXput XPONsymbXrng Command XQ.3658 Results 1829/5000Command XQ.3658 Results √19/142 XrecvInput/Output RPN Access …µXSENDXsend XservΣX*Y XvolXxrng ΣXY…µΣY ΣY2ΣY2 YcolAUTO, PDIM, PMAX, PMIN, Xrng YrngYslice EYEPT, XVOL, XXRNG, YYRNG, Zvol YvolYyrng ZerosZvol PowerAccess Q ZfactorSymbz Where√ Square Root ZsymbSQ, , Isol Lower limit, upper limit, integrand, name Access …Á Áis the rightshift of the UkeyIntegrate ? UndefinedResults -π/2 ∞ InfinitySummation Sigma PlusX 2, …, x m 1, …, x 1 m x n 1, … , x n m Access …µΣ+ Input/OutputAccess …µΣ Input/Output Sigma MinusSymb Name Xunit ∂ DerivativeFactorial 14159265359…Symb,x PercentUnit attachment Xy/100Type Object Description « » Program delimitersLess than #n1 #n2 ≤ Less than or Equal≥ Greater than or Equal Greater than≠ Not equal ≠ symb Multiply+ Add Subtract Divide Y1/unit = Equal== Logical Equality … É Store→ Create Local DEFINE, RCL, →, STOCLEAR, DROP, DROPN, DROP2 SemicolonCAS directory, Casdir CAS SettingsSelecting CAS Settings Points to note when choosing settingsComputer Algebra System Extending the CAS Using the CASExamples and Help Compatibility with Other CalculatorsArithmetic Integer commands, !ÞINTEGER Computer algebra command categories listed by menuArithmetic commands Algebra commands, …×Other Arithmetic commands, !Þ Arithmetic Modulo commands, !Þ ModuloArithmetic Permutation commands, !Þ Permutation Calculus commands Operations, !Ø Operations Exp and Lin commands, !ÐMatrixrelated commands Create, !Ø CreateEigenvectors, !Ø Eigenvectors Quadratic form, !Ø Quadratic FormLinear Systems, !Ø Linear Systems Linear Applications, !Ø Linear ApplHyperbolic, …Ñ Hyperbolic Symbolic solve commands, !ÎTrigonometry commands Other Trigonometry commands, …ÑTrigonometric conversions, !Ú Trig Conv Convert commands, !ÚUnit conversion tools, !Ú Units Tools Base conversion tools, !Ú BaseMatrix convert, !Ú Matrix Convert Other CAS operations, …µCAS utility operations CAS menu commands, …µThese commands display menus or lists of CAS operations Equation Reference Equation ReferenceFLUIDS, 24 *********************3 Internal bending moment at Columns and BeamsVariable Description Σcr Critical stress Σmax Maximum stressExample Elastic Buckling 1Eccentric Columns 1 EquationsEquation Simple Deflection 1Simple Slope 1 Simple Shear 1 Solution V=624.387lbfSimple Moment 1 Cantilever Moment 1 Cantilever Deflection 1Cantilever Slope 1 Cantilever Shear 1 Solution V=200lbf Equation ReferenceRelative permeability ElectricityRelative permittivity Coulomb’s Law 2 Ohm’s Law and Power 2Voltage Divider 2 Wire Resistance 2Solution V1=80V Solution I1=5.6250ASeries and Parallel C 2 Solution R=0.175Series and Parallel R 2 Inductive Energy 2 Solution V=50VSeries and Parallel L 2 Capacitive Energy 2Capacitor Charge 2 RLC Current Delay 2Solution q=0.0020C Equation Reference DC Capacitor Current 2RL Transient 2 Solution V=3.2968VDC Inductor Voltage 2 RC Transient 2Cylindrical Capacitor 2,19 Solution I=0.0072AResonant Frequency 2 Plate Capacitor 2Toroid Inductance 2 Solenoid Inductance 2Sinusoidal Current 2 FluidsSinusoidal Voltage 2 Initial and final velocities Pressure at Depth 3Bernoulli Equation 3 Reynolds numberFlow with Losses 3 Flow in Full Pipes 3 Forces and EnergyLinear Mechanics 4 Hooke’s Law 4 Angular Mechanics 4Centripetal Force 4 MassEnergy Relation 4 1D Elastic Collisions 4Drag Force 4 Law of Gravitation 4Ideal Gas Law 5 GasesPolytropic Processes 5 Solution Vf=21Ideal Gas State Change 5 Isothermal Expansion 5Real Gas State Change 5 Real Gas Law 5Kinetic Theory 5 Heat TransferConduction 6 Heat Capacity 6Thermal Expansion 6 Conduction + Convection 6 Convection 6Ia, Ib MagnetismBlack Body Radiation 6 FbaForce between Wires 7 Straight Wire 7Magnetic B Field in Toroid 7 Solution B=0.0785TMagnetic B Field in Solenoid 7 Motion Projectile Motion 8 Linear Motion 8Object in Free Fall 8 Escape Velocity 8 Angular Motion 8Circular Motion 8 Terminal Velocity 8Law of Refraction 9 OpticsBrewster’s Law 9 Critical Angle 9Thin Lens 9 Solution n2=1.5000Spherical Reflection 9 Spherical Refraction 9Oscillations Example Given L=15cm MassSpring System 10Simple Pendulum 10 Simple Harmonic 10 Conical Pendulum 10Torsional Pendulum 10 Plane Geometry Equations Example Circle 11Ellipse 11 Regular Polygon 11 Rectangle 11Triangle 11 Circular Ring 11Cone 12 Solid GeometryParallelepiped 12 Cylinder 12Sphere 12 Solid State Devices Channel length JFETs Saturation current densityDrawn mask length PN Step Junctions, or Drawn gate length Nmos Transistors, orPN Step Junctions 13 VDS Nmos Transistors 13JFETs 13 Bipolar Transistors 13Xdmax = ⋅ Vbi VGS + VDS Minimum principal normal stress Stress AnalysisMaximum principal normal stress Stress on an Element 14 Normal Stress 14Shear Stress 14 Example Mohr’s Circle 14Longitudinal Waves 15 WavesTransverse Waves 15,1 Sound Waves 15 References Page Development Library Development Library Development Library Command ReferenceObj String Obj1 … objn Symb Obj1, ...,objnCode String BetaTestingString Obj Debug string Error list String ObjLibrary n String Error list Edited stringLibrary Object String Ey,z.Et LC~CObj … obj Obj 1, ...,obj n →LSTObj 1 … obj n Obj 1, ...,obj n PokearmString Global →S2String1 String2 ReturnsXlib Crlib Create Library CommandExtension program Modes Masd The Machine Language and System RPL CompilerIntroduction Starting MasdError messages Message Description ErrorsFormat of the error list Labels LinksConstants ExtableExpressions Macros and includes Operator PriorityDirective Description Filename conventionsCompilation directive Docstr !DBGINF directiveBit registers Saturn ASM modeCPU architecture Skips Other notesNew instructions These instructions Are equivalent to Skips instructions EquivalentsTests Syntax Example Saturn instructions syntaxSyntax Example DReg=hh See above. This is only valid in emulated Saturn Places the value of Exp in the code, on x nibbles CARRY0 003AA Autousertest ARM architecture ARM modeDescription Form Instruction setOperation Assembler Action Flags REG B Armsat instructionOffset Element REG aREG C REG D REG R0 REG R1 REG R2 REG R3 REG R4 Unnamed local variables System RPL modeInstructions Reals and system binaryToken Description DefinesTokens Code LC 001 Gosbvl Outcinrtn ?CBIT=1.6 Turnmenuoff LC 80100 Armsat Level DisassemblersString String 1, ...,string n Entry Point Library ExtableLibrary NopC0C Error and Status Messages A1Messages Listed Alphabetically Message Meaning # hexA2 Error and Status Messages Error and Status Messages A3 Σdat A4 Error and Status MessagesError and Status Messages A5 A6 Error and Status Messages C0D Error and Status Messages A7C0E C0BA8 Error and Status Messages # hex Message General Messages Error and Status Messages A9# hex Message A10 Error and Status MessagesOutofMemory Prompts Error and Status Messages A11Equation Writer Application Messages Stack Errors and MessagesA12 Error and Status Messages Object Editing MessagesStatistics Messages # hex Message FloatingPoint ErrorsError and Status Messages A13 Array MessagesA14 Error and Status Messages Mode and Plot Input Form Prompts# hex Message 70F Error and Status Messages A1573F A16 Error and Status Messages75F Error and Status Messages A1778F A18 Error and Status MessagesError and Status Messages A19 Advanced Statistics Messages A20 Error and Status Messages80F Error and Status Messages A2182F A22 Error and Status Messages85F Error and Status Messages A2387F A24 Error and Status MessagesHP Solve Application Messages Error and Status Messages A25Statistics Help Messages Programmer’s Doerr # hex Message Unit ManagementPrinting Time MessagesError and Status Messages A27 System Flags Choose Box Prompts A28 Error and Status MessagesError and Status Messages A29 A30 Error and Status Messages Error and Status Messages A31 Prompts A32 Error and Status MessagesError and Status Messages A33 A34 Error and Status Messages Statistics Prompts Error and Status Messages A35A36 Error and Status Messages Time and Alarm PromptsError and Status Messages A37 A38 Error and Status Messages Symbolic Application PromptsPlot Application Prompts Error and Status Messages A39A40 Error and Status Messages Error and Status Messages A41 Solve Application Prompts A42 Error and Status MessagesError and Status Messages A43 A44 Error and Status Messages CAS Messages Error and Status Messages A45A46 Error and Status Messages Error and Status Messages A47 DF1A DF1B DF1C DF1D DF1E DF1F A48 Error and Status MessagesFiler Application Messages DF0A DF0B DF0C DF0D DF0E DF0FConstants Library Messages Error and Status Messages A49MultipleEquation Solver Messages A50 Error and Status MessagesEquation Library Messages Minehunt Game PromptsDevelopment Library and Miscellaneous Messages Error and Status Messages A51Periodic Table Messages Financial Solver MessagesA52 Error and Status Messages Tables of Units and Constants B1 UnitsB2 Tables of Units and Constants Tables of Units and Constants B3 B4 Tables of Units and Constants Constant Full Name Value in SI Units Tables of Units and Constants B5B6 Tables of Units and Constants Properties of ElementsSystem Flags C1 System FlagsFlag Description Not usedC2 System Flags System Flags C3 C4 System Flags System Flags C5 C6 System Flags System Flags C7 C8 System Flags Internal use only /0 occurredSystem Flags C9 User FlagsPage Reserved Variables D1 Contents of the System Reserved Variables Reserved Variables D3 ΒENTERD4 Reserved Variables ExitedReserved Variables D5 Nmines MHparMpar N1, n2Reserved Variables D7 BAR, etcD8 Reserved Variables PrtparReserved Variables D9 S1, s2D10 Reserved Variables Parameter Description Default Value CommandTo use for input into the table NUMX, NumyReserved Variables D11 Var1 var2 … varmStatistical Matrix for Variables 1 to m D12 Reserved Variables EXPFIT, PWRFIT, or LogfitCasdir Reserved Variables D14 Reserved Variables ModuloTechnical Reference E1 Object SizeObject Type Size bytes E2 Technical Reference Symbolic IntegrationPattern Antiderivative Technical Reference E3 E4 Technical Reference →DEF ExpansionsTechnical Reference E5 Order OperationE6 Technical Reference International Standard publication No. ISO 31/l197 8 EParallel Processing with Lists F1 Group 1 Commands that cannot parallel processGroup 2 Commands that must use Dolist to parallel process General rules for parallel processingF2 Parallel Processing with Lists Group 5 Commands that set modes / statesGroup 6 Oneargument, oneresult commands Group 4 ADD and +Group 10 Quirky commands Group 7 Two argument, one result commandsGroup 8 Multipleargument, oneresult commands Group 9 Multipleresult commandsF4 Parallel Processing with Lists Using Dolist for Parallel Processing$ & + $ & C$ & D $ & F~@ & O Keycode Keystroke Definition¥ ! &I @ & ³ @ & OKeyboard Shortcuts G3 ~@ & Í @ &†@%VARNAME% = varname G4 Keyboard Shortcuts MenuNumber Table H1 Menu NumbersSyntax Example H2 The MenuNumber Table Menus 0 throughMenuNumber Table H3 H4 The MenuNumber Table Menus 118 throughMenuNumber Table H5 Menus 178 throughBuiltIn Library Menus Page + key Command MenuPath TableKey ALPHARS2 MTH NXT Prob I2 The Command MenuPath Table Command Type Library Size Keys Menu FirstCAT Algb MTH ListArith Modul «MODULAR» AddtorealI4 The Command MenuPath Table CHR LS&MODE FlagPRG Test NXT NXT PRG NXT Modes Flag Chinrem PRG NXTI6 The Command MenuPath Table PRG NXT NXT Time NXT CAT DelalarmPRG NXT NXT Time Alrm Delay RS&TIME NXTI8 The Command MenuPath Table Else PRG NXT NXT Error Iferr«POLYNOMIAL» EGV MTH Matrx NXTI10 The Command MenuPath Table I11 I12 The Command MenuPath Table «DIFF» NXT NXT Calc Deriv NXT«INTEGER» PRG Brch NXTI14 The Command MenuPath Table I15 I16 The Command MenuPath Table I17 I18 The Command MenuPath Table I19 I20 The Command MenuPath Table I21 I22 The Command MenuPath Table I23 I24 The Command MenuPath Table I25 I26 The Command MenuPath Table I27 I28 The Command MenuPath Table XLIB~ Matrices Creat NXT NXT MTH Matrx Make NXT NXTDUP Menuxy Version CAT VtypeMTH NXT Const «CONSTANTS» I30 The Command MenuPath TableSLV NXT Alphalse→ALG ΣlineΣlist PRG Test «TESTS» NXTI32 The Command MenuPath Table Ascii Character Codes and Translations J1 Code DescriptionCharacter Codes J2 Ascii Character Codes and Translations Code Trans. DescriptionIndex Alpha keyboard Calculator 59, 531 375 Preserving calculator status Flags 132 Last argument Memory Nested structures 545 Programs Range 3115 Serial communications 237, D3 Tagged objects UPs