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HP 48gII Graphing, 50g Graphing manual ATAN2S, Atan z, Symb ATANsymb, Acos, Asin, Isol, Tan

Models: 50g Graphing 48gII Graphing

1 693

Page 141

Access:	!À		( Àis the leftshift of the		Ukey).
Flags:	Principal Solution (–1), Numerical Results (–3), Angle Mode (–17, –18)
Input/Output:

		Level 1/Argument 1			Level 1/Item 1

		z		→	atan z
		'symb'		→	'ATAN(symb)'

See also:	ACOS, ASIN, ISOL, TAN

ATAN2S
Type:	Command
Description:	Transforms an expression by replacing atan(x) subexpressions with the following:
			x	
		asin	------------------
			x2 + 1

Access: Trigonometry, …Ñ

Input: An expression.

Output: The transformed expression.

Flags: Exact mode must be set (flag –105 clear).

Numeric mode must not be set (flag –3 clear).

Radians mode must be set (flag –17 set).

Full Command and Function Reference 321

Page 141

Image 141

HP 48gII Graphing, 50g Graphing manual ATAN2S, Atan z, Symb ATANsymb, Acos, Asin, Isol, Tan

Contents

Advanced user’s reference manual HP 50g / 49g+ / 48gII graphing calculatorPage Printing History AcknowledgementsPage Contents Algb NamesAlog Amort317 Delay Delalarm→COL COL→359 EXP2POW FindalarmExpan ExpandIBP HaltIDIV2 IferrList Maxr MAXMIN NotParametric PA2B2Parity Parsurface3183 Rnrm RNDRoll Rolld3226 →TAG TabvarTail TANUpdir WireframeUtpc UtpfContents 514 →ALG Apeek ARM→ ASM ASM→ 610 CST Exited Expr Iopar MASD.INI AlrmdatToff Tpar VparUnderstanding Programming Contents of a ProgramCalculations in a Program Examples of Program ActionsProgram Results Entering and Executing Programs To enter commands and other objects in a programTo enter a program To store or name a program3Q!Ì*4`3/*@Ï To stop an executing program3Q!Ì*4#3/* @Ë@Ï @% @Ér # O4 /3 *!Ì Q3 @Ë@ÏLevel Program Keys CommentsOsph K Viewing and Editing Programs To switch between entry modesTo view or edit a program @%SPH% ˜Creating Programs on a Computer Using Local VariablesCreating Local Variables `J!%SPH% @%SPH% ˜`OSPHLV K Program CommentsDefining the Scope of Local Variables Evaluating Local NamesCreating UserDefined Functions as Programs Compiled Local VariablesTesting Conditions Using Tests and Conditional StructuresKey Programmable Description Command To include a test in a programKeys Programmable Description Command Using Logical FunctionsLogical Functions TEST% LTo enter if then END in a program Using Conditional Structures and CommandsPress !%BRCH% !%IF% To enter IFT in a programPress !%BRCH% @%#IF#% To enter if then Else END in a programTo enter Ifte in a program or in an algebraic Press !%BRCH% L!%IFTE%Conditional Examples To enter Case END in a program26 `52 J %TST% Otst KUsing Loop Structures Using Definite Loop StructuresWhile … Repeat … END « … start finish Start loopclause Next … » Start Next StructureTo enter Start Next in a program Press !%BRCH% !%START%« … start finish Start loopclause increment Step … » Start Step StructureTo enter Start Step in a program Press ! %BRCH% … %START%« … start finish for counter loopclause Next … » For Next StructureTo enter for Next in a program Press !%BRCH% ! %FOR%« … start finish for counter loopclause increment Step … » For Step StructureTo enter for Step in a program Press ! %BRCH% … %FOR%Do Until END Structure Using Indefinite Loop Structures« … do loopclause Until testclause END … » To enter do Until END in a programDuplicates n, stores the value into n « … While testclause Repeat loopclause END … » While Repeat END StructureTo enter While Repeat END in a program Press !%BRCH% ! %WHILE%Using Loop Counters To enter Incr or Decr in a programPress ! #MEM# %ARITH% %INCR% or %DECR% ∑ j Using Summations Instead of LoopsSetting, Clearing, and Testing Flags Using FlagsTypes of Flags To set, clear, or test a flagExample Recalling and Storing the Flag StatesMonth/day/year format Day.month.year formatTo recall the current flag states Using SubroutinesExecute Rclf !L %MODES% %FLAG% L%RCLF% To change the current flag statesTorsa K Torsv K` 8 J %TORSV% To turn off the Halt annunciator at any time To singlestep from the start of a programPress !LL %RUN% %KILL% @·J6 `8 `O%TORSV% !LL%RUN% %DBUG%To singlestep when the next step is a subroutine To singlestep from the middle of a program@·J10 `12 O%TORSV% !LL%RUN% %DBUG% Causing and Analyzing Errors Trapping ErrorsTo cause a userdefined error to occur in a program SingleStep OperationsTo analyze an error in a program To artificially cause a builtin error to occur in a programError Trapping Commands %ERROR%« … Iferr trapclause then errorclause END … » Making an Error TrapPress !LL %ERROR% !%IFERR% Iferr then END StructurePress !LL %ERROR% @%IFERR% Iferr then Else END StructureTo enter Iferr then Else END in a program Using PROMPT, Cont for Input Data Input CommandsKey Command Description Input@·J %TPROM% `OTPROMPT ‰Using Disp Freeze HALT, Cont for Input To enter Disp Freeze Halt in a programTo respond to Halt while running a program « … promptstring commandline Input OBJ→ … » Using INPUT, Enter for InputTo enter Input in a program To respond to Input while running a program%VSPH% To design the commandline string for Input Commandline cursorposition operatingoptionsTo include Input options CursorpositionTo process the result string from Input Press @ Õ ! Ê a @`O Tinput ‰ %TINPU% To set up an input form Using Inform and Choose for InputTo set up a choose box `OPHONES ‰ Beeping to Get Attention Using Wait for Keystroke InputTo enter Beep in a program To enter Wait in a programData Output Commands Using KEY for Keystroke InputOutput OUT%Labeling and Displaying Output as Strings Labeling Output with TagsTo label a result with a tag %TTAG% 1.5 ˜1.85 `Using Msgbox to Display Output Pausing to Display OutputTo set up a message box `OTSTRING ‰Using Menus for Input Using Menus with ProgramsTo create a menubased application Using Menus to Run ProgramsOlst ‰ SI%@·J%EIZ% %% !Ü.37~@6 68 %%I%% !%%Z%% Turning Off the Calculator from a Program@%%I%% 2*%%I%% !%%E%% To turn off the calculator in a programPage Fibonacci Numbers FIB1 Fibonacci Numbers, Recursive VersionRPL Programming Examples FIB2 Fibonacci Numbers, Loop Version %FIB1%FIB1% !Ü10 N FIB2 program listing %FIB2%10 %FIB2% Techniques used in Fibt Fibt Comparing ProgramExecution TimeStructured programming. Fibt calls both FIB1 and FIB2 Required ProgramsPAD Pad with Leading Spaces Displaying a Binary Integer13 %FIBT% Techniques used in PADPAD program listing Preserve Save and Restore Previous Status`OPAD K Techniques used in PreserveBdisp Binary Display Preserve program listing`OPRESERVE K PAD Techniques used in Bdisp`OBDISP K Bdisp program listingMedian of Statistics Data Tile Percentile of a list144 %BDISP% Techniques used in %TILE Median Median of Statistics DataTile program listing `O%TILE KRequired Program Techniques used in Median`OMEDIAN K Expanding and Collecting Completely18 `12 `˜šš 11 `1 `Techniques used in Multi Multi Multiple ExecutionMulti program listing `OMULTI KTechniques used in Exco Exco Expand and Collect CompletelyExco program listing `OEXCO KMNX Minimum or Maximum Element-Version Minimum and Maximum Array ElementsÜ4 *Y+Z + User and system flags for logic control`OMNX K MNX program listingMNX2 Minimum or Maximum Element-Version 12 `56 `˜šš 45 `1 `Techniques used in MNX2 MNX2 program listing %MNX2% Applying a Program to an ArrayTechniques used in Aply Aply program listingMake sure the flag 1 is clear to begin `OAPLY K Converting Between Number BasesÔ3†2W†4` ‚Å 3 QA *7 `J %APLY% H#DISP ˜˜ Techniques used in nBASENBASE program listing 1000 `23 J %NBASE% Verifying Program ArgumentsTechniques used in Names Names Check List for Exactly Two NamesNames program listing `ONAMES KVFY Verify Program Argument Techniques used in VFYVFY program listing Oben ` Converting Procedures from Algebraic to RPNOjeff ` Osarah ` %LIST% %²LIST%→RPN program listing Techniques used in →RPNBessel Functions XQ3 `%²RPN%Techniques used in BER `OBER K BER program listing%BER% %BER% !Ü2Sintp Converting a Plot to a Graphics Object Animation of Successive Taylor’s PolynomialsTechniques used in Sintp Sintp program listingTechniques used in Setts Setts Superimposing Taylor’s polynomialsSetts program listing `OSETTS KTechniques used in TSA TSA Animating Taylor’s PolynomialsTSA program listing `OTSA KProgrammatic Use of Statistics and Plotting Programmatic use of matrices and statistics commandsTechniques used in PIE Temporary menu for data inputAngle 983 %SLICE% 416 %SLICE% 85 %SLICE% `OPIE KTechniques used in αENTER and ßENTER Trace ModeΑENTER program listing ßENTER program listingTechniques used in Rootr InverseFunction SolverRootr program listing `OROOTR K@Å@É x †O3.7 Animating a Graphical Image%X²FX% ` 599.5 ` 1 %ROOTR% Techniques used in Walk`OWALK K Acos IntroductionType Input/OutputHow Commands Are Alphabetized Other Provided DetailsParallel Processing with Lists Classification of Operations Computer Algebra System Commands and FunctionsRealnumber time or angle in hoursminutessecond s format Backup identifierLibrary identifier Binary integerAbcuv ABSACK Type Description AckallASIN, ATAN, COS, Isol ACOS2SASIN2C, ASIN2T, ATAN2S AcoshAcosh z Symb ACOSHsymbAddtmod ADDAlgb AddtorealAlog 10zAmort Principal Interest BalanceTVM, TVMBEG, TVMEND, Tvmroot ANS AnimateAccess …µAPPLY Input/Output ApplyARC ARG ArchiveArit Access …µARRY→ Input/OutputARRY→ →ARRYAccess !¼ ¼is the leftshift of the Skey ASIN2C ASIN2TAsinh Asinh z ASNSymb ASINHsymb ACOSH, ATANH, ISOL, SinhASR Access … ÃL BIT ASRAssume SkeyADDTOREAL, Unassume AtanAtan z ATAN2SSymb ATANsymb ACOS, ASIN, ISOL, TANAtanh Access …µATICKAtick Atanh zAttach Access …µATTACH Input/OutputAugment #n #mAuto Access …µAUTO Input/Output NoneAxes BARAXL Access …µAXES Input/OutputAXM Atick xaxis label yaxis labelBAR AXQAXL, AXQ AXL, AXM, GAUSS, QXABarplot Access …µBAR Input/Output NoneBasis BaudAccess … Ã BIN Access …µBESTFIT Input/Output NoneBeep BestfitBins Access !L Pict BOX Is the leftshift of the NkeyBlank BOXBuflen Access …µBUFLEN Input/OutputBytes #n1 #m1 #n2 #m2 X1, y1 X2, y2Access … Ã B → R C2PCascfg Cascmd CaseHelp Centr CeilXunit Nunit Symb CEILsymb FLOOR, IP, RND, TrncCholesky ChinremCommand Result ChooseCHR Cksm CircNUM, POS REPL, SIZE, SUBClkadj ClearCllcd CloseioClusr CLΣClvar Cmplx→COL COL→COL Colct COL+Collect Symb1 Symb2Comb ColσCON Symb COMBsymb ,m COMBn, symb COMBsymb ,symbRarray constant CondCarray constant Name IDNAccess …µCONIC Input/Output None ConicConj Const ConlibConstants Rarray Carray Symb CONJsymbConvert ContCorr X1unitssource X2unitstarget X3unitstargetCOS Access FlagsCosh COVCross CrdirCswp …µCRCyclotomic CurlCylin COL+, COL-, RswpDarcy →PXDate #n, #mDATE+ →DATEDbug →dateDEC DdaysDecr « program » or program nameDEF DedicaceDefine Result See alsoDEG DelalarmDegree Name=exp Namename Name =expnameRCLALARM, Stoalarm DelayDelkeys CR, OLDPRT, PRLCD, PRST, PRSTC, PRVAR, PR1Depnd Access …µDEPND Input/OutputDepth Xkey1, ... ,xkey nDeriv DervxDesolve DET Access …µDETACH Input/OutputDetach AttachDIAG→ →DIAGDiagmap Diffeq DiffAccess …µDIFFEQ Input/Output DIRDisp Distrib DispxyObj List FREEZE, HALT, INPUT, PromptDIV2 DIVDIV2MOD CURL, HessDivmod DivisDivpc DIV2DERIV, DERVX, DESOLVE, ∂ TAYLOR0, TAYLR, SeriesUntil testclause END ENDError DoerrDolist Domain List List n « program » Results Command Name List n+1Dosubs SIGNTAB, TabvarDOT List « program » Command NameDOLIST, ENDSUB, NSUB, Stream CNRM, CROSS, DET, RnrmAccess …µDRAX Input/Output None Access …µDRAWDraw DRAW3DMATRIXDrop DroiteDROP2 LagrangeDtag DropnDUP DUP2Dupn DupdupEdit EditbEgcd Egvl EGVElse ENDENG EndsubEPSX0 Sign mantissa E sign exponentEQW EqnlibEQ→ EraseErrm ERR0Errn EulerExlr EvalObj See above →NUMEXP&LN EXPEx,y = excosy + iexsiny EXP2HYP EXP2POWExpan Expandmod ExpandCOLCT, EXPAND, ISOL, QUAD, Show Result X2+XExpln ExpfitExpm EyeptFact F0λFactor …µF0λFactormod FactorsModsto Access …µFANNING FanningFAST3D Access ! Test LL FC ? C Access …µFAST3D Input/Output NoneFcoef FC?FFT FdistribCF, FC?, FS? FS?C, SF DistribAccess …µFINISH FindalarmFiler FinishFloor FlashevalFONT6 Xunit Nunit Symb FLOORsymbFONT8 FONT7FONT→ →FONTFor Free FourierFreeze Xunit Yunit Symb FPsymbFS? FrootsDisplay Area Value Code CLLCD, DISP, HaltFS?C FunctionCF, FC?, FC?C, FS?C, SF Access …µFUNCTION FxndExlr Gauss GammaGbasis AXQ, QXAGcdmod GCDGET GCDMOD, EGCD, IEGCD, LCMGeti ObjgetGETI, PUT, Puti Grad GORGET, PUT, Puti #n #m Grob1Graph GramschmidtGreduce DEG, RADAccess …µ→GROB Access …µGRIDMAP Input/Output NoneGridmap →GROBGrobadd GrobGxor →LCD, LCD→Halftan HadamardHalt GOR, REPL, SUBHEADER→ Head→HEADER HelpHess HermiteHEX CURL, DIVHistogram HilbertHistplot Access …µHISTPLOT Input/Output NoneHMS HMS+→HMS HMS→… & 9L HMS + … &9L HMS →Home HornerIabcuv Ibernoulli IbasisIBP ABCUV, IegcdIDN IchinremResults See also ChinremIegcd IDIV2DIV2, Iquot Ax+by=cIferr CaseELSE, END, IFERR, then Ifft ∑ Y k eIfte IFTIlap Obj It dependsLAP, Lapl Image…ßIM Rarray Carray Symb IMsymbIndep IncrInform Global Global xstart xendTitle Format Resets Init → vals ResetsInput InitStack prompt Commandline prompt Result INTPROMPT, STR→ Intvx IntegerINV INTVX, RischCommand INVMOD2 Result InvmodIquot Isol IremainderIsom Symb1 Global Symb2Jordan ISPRIME?Mkisom NEXTPRIME, PrevprimeKerrm KERKEY BASIS, ImageAccess …µKEYEVAL Input/Output Keyeval→KEYTIME Kget KEYTIME→Kill LabelLagrange Access …µ→LANGUAGE Input/OutputLANGUAGE→ →LANGUAGELapl LAPLast Objn Obj1LCD→ Lastarg→LCD LCMLdec LcxmLibeval LgcdLibs HERMITE, TchebycheffLimit LimLIN Title, nlib, nport, ...,title, nlib, nportΣline LineLinfit Model Form of ExpressionLinsolve LininLIST→ →LISTList ΠlistΣlist Access …¹ ¹is the rightshift of the Qkey Lname LncollectLNP1 LOG LocalLn x + Symb LNP1symbLogfit Access !Ø Input/OutputFull Command and Function Reference 3139 Access …µLR Input/OutputLSQ Intercept x Slope xMAD LvarDET, INV LnameMain Access …µMAP Input/OutputMant MAPAccess …µ↑MATCH Access …µ↓MATCH Input/Output↑MATCH Symb Symb symbMatr MathsMAX Symb Symb , symbMaxσ MaxrMcalc Input/Output See alsoMEM MeanMenu BINS, MAXΣ, MINΣ, SDEV, TOT, VARRCLMENU, Tmenu MenuxyMIN MergeMinehunt MENU, Tmenu→MINIFONT MINIFONT→Minit MinrMitm MinσMkisom 00000000000E-499Modsto MODModular Mod yMroot MolwtMsgbox Name Or xunit StringMsolvr MslvMuser Multmod→NDISP EQNLIB, MCALC, MINIT, MITM, MROOT, MSLV, MuserNdist Access …ß NEG ßis the rightshift of the 1keyNdupn NEGNewob NextNextprime NIP Access ! Test L not Is the leftshift of the NkeyNot Noval→NUM NsubNUM …µNΣNumx NumyOBJ→ OFF OCTOldprt … &NL OBJ →Access …µOLDPRT Access …µOPENIOOpenio Over OrderMemory Directory Lorder is the leftshift of the Nkey Global1 ... globalnPA2B2 P2CParametric Xmin, ymin, xmax, ymax, indep, res, axes, ptype, dependParity Access …µPARITY Input/OutputPartfrac ParsurfacePcar PathPcoef Home directoryname 1 ... directoryname nAccess …µPCONTOUR Input/Output None PcontourPcov Perinfo PdimPerm Xmax, ymaxPeval PertblPgdir PickPict Pict Command Puts the name Pict on the stackPicture PinitPIX? Access …µPKTPixoff PixonPlotadd PlotPmax PminPolar PminiFinds the minimal polynomial of a matrix An nxn matrix aPolynomial Access …µPOLARPOP Form of Current Plotting Action EquationPOS Input An expression raised to a powerPotential PowexpandPR1 PowmodPredx Predv…µPR1 ObjectPreval PredyPrlcd PrevprimePrompt PromptstoPropfrac ProotGlobal→ Prompt STOPrstc PrstPrvar Name Name1 name2 Nport globalPSI PsdevPsi MEAN, PCOV, PVAR, SDEV, TOT, VARPtprop PtaylPurge Symb String or x or xunit or namePUT PushGlobal Global1 ... globaln CLEAR, CLVAR, NEWOB, PgdirPuti This command sequenceObj put List Obj put List NamePvar PvarsMEAN, PCOV, PSDEV, SDEV, VAR Nport namebackup Memory Access …µPVARS Input/OutputPview PwrfitPX→C →Qπ+ c/d*i ̟ + c/ d* ̟ Quad+ c/ d LQ, LSQQuote QuotArithmetic, !ÞPOLYNOMIAL !« Quotient of the Euclidean divisionRAD QXARand RankRanm Access …µRATIORatio LQ, LSQ, QRRCI RceqRcij SteqRCL RclalarmRclf FINDALARM, StoalarmRclkeys RclmenuRclσ RclvxRcws RDMRDZ COMB, PERM, Rand…ßL RE Rect RecnRecv REsymbRename RemainderQuot New name Old nameRepeat ReorderRepl END, WhileRES Plot Type Default IntervalString target String String resultBackup To restore a RestoreResultant SlopefieldRevlist RewriteRisch Rkferr RKFProblem for a differential equation RkfstepIs the rightshift 3key RND RLBRLB, RR, RRB RNDsymbRoll RnrmRolld RomuploadROT RootROW 3207ROW+ ROW→→ROW RPL Access … ÃL Byte RRB Is the rightshift of the 3keyRRB RL, RLB, RRBRref RrefRRK RrefmodRrkstep − 2 t + t 2Rsberr RSDRKF, RKFERR, RKFSTEP, RRK, Rsberr Rswp Access … Ã R → BRules DET, IDN→R, IM, RE Same180/̟x →DsymbSbrk Access …µSCALEH Input/OutputScale ScalehScatrplot ScatterAUTO, SCALEH, Xrng Schur Access …µSCATTER Input/Output NoneSCI SclσScroll SconjSdev SendSEQ SeriesDOSUBS, Stream Seval ServerSidens ShowSigma X1/cm3Access !ÖDERIV LL Access !ÖDERIV LSigmavx SignSIMP2 SigntabSIGNsymb ABS, MANT, XponSIN SimplifySincos Sin zSinv SinhSize Sinh zSlopefield SLBString Integer List Vector Symb GrobSneg SnrmNEG, SCONJ, Sinv Solveqn SolveSolver SolvevxSort Srad SphereSquare Analytic Function Returns the square of the argument SQsymbSrecv SRBCOND, SNRM, Trace ASR, SL, SLB, SRSrepl Access …µSRECVSST SST↓Start STDStep Step Access …µSTIMESteq StimeAccess Input/Output StoalarmSTO BuflenStof Access …µSTOFStokeys Óis the rightshift of the 9 keyStore StovxSTO+ STO/, + STR→ Stoσ→STR DTAG, EQ→, LIST→, OBJ→, →STRStrm StreamSturm List Obj ResultStws SturmabSUB SturmabSubtmod SubstX1, y1 X2, y2 CHR, GOR, GXOR, NUM, POS, REPL, SizeSVL SVDSwap DIAG→, MIN, SVLSyseval SylvesterSYST2MAT 100 y TabvalX, symb Symb 1, symb→TAG TabvarTail →ARRYTAN2CS2 TANTAN2SC Tan zTanh TAN2SC2Tanh z TANHsymbTaylr TAYLOR0Tchebycheff HERMITE, LegendreTdelta TcollectTests TDELTAsymb1, symb2Texpand TevalText ThenTime Ticks→TIME TincTline TlinTINCsymb1, symb2 SIMPLIFY, TCOLLECT, TexpandTOT TmenuTrace TranTrig TransioEffect BAUD, CKSM, ParityTrigo TrigcosTrigsin TrigtanTRN TrncCONJ, Tran Truth TruncTRNCz TRNCsymbAccess …µTRUTH Input/Output None TsimpTstr TVM TvarsTvmbeg TvmendType Builtin CommandsUbase Object Type Number User objectsUFL1→MINIF UfactUnassign UnassumeUnbind →UNITUnpick Until UnrotUpdir UtpcUtpn UtpfUTPF, UTPN, Utpt UTPC, UTPN, UtptUtpt UvalUVALsymb Coordinate System -16, Complex Mode Flag -16 clear Rectangular mode Flag -16 set Polar mode € yX1, x2 X1, x2, ..., xn Xn-2VAR VandermondeVars Access …µVERSION Input/OutputVER VersionVariable name Contents opened in the most suitable Editor Variable name Contents opened in the command line EditorVisit VisitbAccess ! L in Wait Is the leftshift of the Nkey VtypeWait While WireframeWhile testclause Repeat loopclause END While RepeatWslog Access …µΣX Input/Output Access …µWSLOGΣX2 Log4 ... log1Xcol ΣX2Xget XmitAccess …µXMIT XnumXOR Xput XponXPONsymb MANT, SignCommand XQ.3658 Results √19/142 Command XQ.3658 Results 1829/5000Xrecv XrngXsend Access …µXSENDXserv Input/Output RPNXxrng XvolΣXY ΣX*YΣY2 ΣY2Ycol …µΣYYrng YsliceAUTO, PDIM, PMAX, PMIN, Xrng Yyrng YvolZeros EYEPT, XVOL, XXRNG, YYRNG, ZvolAccess Q PowerZfactor Zvol√ Square Root WhereZsymb SymbzSQ, , Isol Integrate Access …Á Áis the rightshift of the Ukey? Undefined Lower limit, upper limit, integrand, nameSummation ∞ InfinitySigma Plus Results -π/2Access …µΣ Input/Output Access …µΣ+ Input/OutputSigma Minus X 2, …, x m 1, …, x 1 m x n 1, … , x n mFactorial ∂ Derivative14159265359… Symb Name XunitUnit attachment PercentXy/100 Symb,x« » Program delimiters Less thanType Object Description #n1 #n2 ≤ Less than or Equal≥ Greater than or Equal Greater than≠ Not equal ≠ symb Multiply+ Add Subtract Divide Y1/unit = Equal== Logical Equality → Create Local StoreDEFINE, RCL, →, STO … ÉCLEAR, DROP, DROPN, DROP2 SemicolonSelecting CAS Settings CAS SettingsPoints to note when choosing settings CAS directory, CasdirComputer Algebra System Examples and Help Using the CASCompatibility with Other Calculators Extending the CASArithmetic commands Computer algebra command categories listed by menuAlgebra commands, …× Arithmetic Integer commands, !ÞINTEGERArithmetic Modulo commands, !Þ Modulo Arithmetic Permutation commands, !Þ PermutationOther Arithmetic commands, !Þ Calculus commands Matrixrelated commands Exp and Lin commands, !ÐCreate, !Ø Create Operations, !Ø OperationsLinear Systems, !Ø Linear Systems Quadratic form, !Ø Quadratic FormLinear Applications, !Ø Linear Appl Eigenvectors, !Ø EigenvectorsTrigonometry commands Symbolic solve commands, !ÎOther Trigonometry commands, …Ñ Hyperbolic, …Ñ HyperbolicUnit conversion tools, !Ú Units Tools Convert commands, !ÚBase conversion tools, !Ú Base Trigonometric conversions, !Ú Trig ConvMatrix convert, !Ú Matrix Convert Other CAS operations, …µCAS menu commands, …µ These commands display menus or lists of CAS operationsCAS utility operations Equation Reference Equation ReferenceFLUIDS, 24 *********************3 Variable Description Columns and BeamsΣcr Critical stress Σmax Maximum stress Internal bending moment atEccentric Columns 1 Elastic Buckling 1Equations ExampleSimple Deflection 1 Simple Slope 1Equation Solution V=624.387lbf Simple Moment 1Simple Shear 1 Cantilever Deflection 1 Cantilever Slope 1Cantilever Moment 1 Cantilever Shear 1 Solution V=200lbf Equation ReferenceElectricity Relative permittivityRelative permeability Coulomb’s Law 2 Ohm’s Law and Power 2Solution V1=80V Wire Resistance 2Solution I1=5.6250A Voltage Divider 2Solution R=0.175 Series and Parallel R 2Series and Parallel C 2 Series and Parallel L 2 Solution V=50VCapacitive Energy 2 Inductive Energy 2Solution q=0.0020C Equation Reference RLC Current Delay 2DC Capacitor Current 2 Capacitor Charge 2DC Inductor Voltage 2 Solution V=3.2968VRC Transient 2 RL Transient 2Resonant Frequency 2 Solution I=0.0072APlate Capacitor 2 Cylindrical Capacitor 2,19Toroid Inductance 2 Solenoid Inductance 2Fluids Sinusoidal Voltage 2Sinusoidal Current 2 Bernoulli Equation 3 Pressure at Depth 3Reynolds number Initial and final velocitiesFlow with Losses 3 Flow in Full Pipes 3 Forces and EnergyLinear Mechanics 4 Angular Mechanics 4 Centripetal Force 4Hooke’s Law 4 Drag Force 4 1D Elastic Collisions 4Law of Gravitation 4 MassEnergy Relation 4Ideal Gas Law 5 GasesIdeal Gas State Change 5 Solution Vf=21Isothermal Expansion 5 Polytropic Processes 5Real Gas State Change 5 Real Gas Law 5Kinetic Theory 5 Heat TransferHeat Capacity 6 Thermal Expansion 6Conduction 6 Conduction + Convection 6 Convection 6Black Body Radiation 6 MagnetismFba Ia, IbForce between Wires 7 Straight Wire 7Solution B=0.0785T Magnetic B Field in Solenoid 7Magnetic B Field in Toroid 7 Motion Linear Motion 8 Object in Free Fall 8Projectile Motion 8 Circular Motion 8 Angular Motion 8Terminal Velocity 8 Escape Velocity 8Law of Refraction 9 OpticsBrewster’s Law 9 Critical Angle 9Spherical Reflection 9 Solution n2=1.5000Spherical Refraction 9 Thin Lens 9Oscillations MassSpring System 10 Simple Pendulum 10Example Given L=15cm Conical Pendulum 10 Torsional Pendulum 10Simple Harmonic 10 Plane Geometry Circle 11 Ellipse 11Equations Example Regular Polygon 11 Rectangle 11Triangle 11 Circular Ring 11Cone 12 Solid GeometryParallelepiped 12 Cylinder 12Sphere 12 Solid State Devices Drawn mask length PN Step Junctions, or Saturation current densityDrawn gate length Nmos Transistors, or Channel length JFETsPN Step Junctions 13 VDS Nmos Transistors 13JFETs 13 Bipolar Transistors 13Xdmax = ⋅ Vbi VGS + VDS Stress Analysis Maximum principal normal stressMinimum principal normal stress Normal Stress 14 Shear Stress 14Stress on an Element 14 Example Mohr’s Circle 14Waves Transverse Waves 15,1Longitudinal Waves 15 Sound Waves 15 References Page Development Library Obj String Development Library Command ReferenceObj1 … objn Symb Obj1, ...,objn Development LibraryString Obj Debug string Error list BetaTestingString Obj Code StringString Error list Edited string Library Object StringLibrary n Ey,z.Et LC~CObj … obj Obj 1, ...,obj n →LSTObj 1 … obj n Obj 1, ...,obj n PokearmString1 String2 →S2Returns String GlobalXlib Crlib Create Library CommandExtension program Introduction Masd The Machine Language and System RPL CompilerStarting Masd ModesErrors Format of the error listError messages Message Description Labels LinksConstants ExtableExpressions Macros and includes Operator PriorityFilename conventions Compilation directiveDirective Description Docstr !DBGINF directiveSaturn ASM mode CPU architectureBit registers Other notes New instructionsSkips 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 Offset Element Armsat instructionREG a REG BREG C REG D REG R0 REG R1 REG R2 REG R3 REG R4 Instructions System RPL modeReals and system binary Unnamed local variablesDefines TokensToken Description Code LC 001 Gosbvl Outcinrtn ?CBIT=1.6 Turnmenuoff LC 80100 Armsat Level DisassemblersLibrary Entry Point Library ExtableNop String String 1, ...,string nMessages Listed Alphabetically Error and Status Messages A1Message Meaning # hex C0CA2 Error and Status Messages Error and Status Messages A3 Σdat A4 Error and Status MessagesError and Status Messages A5 A6 Error and Status Messages C0E Error and Status Messages A7C0B C0DA8 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 A11A12 Error and Status Messages Stack Errors and MessagesObject Editing Messages Equation Writer Application MessagesError and Status Messages A13 # hex Message FloatingPoint ErrorsArray Messages Statistics 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 MessagesError and Status Messages A25 Statistics Help MessagesHP Solve Application Messages Printing # hex Message Unit ManagementTime Messages Programmer’s DoerrError 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 Filer Application Messages A48 Error and Status MessagesDF0A DF0B DF0C DF0D DF0E DF0F DF1A DF1B DF1C DF1D DF1E DF1FConstants Library Messages Error and Status Messages A49Equation Library Messages A50 Error and Status MessagesMinehunt Game Prompts MultipleEquation Solver MessagesPeriodic Table Messages Error and Status Messages A51Financial Solver Messages Development Library and Miscellaneous 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 ElementsFlag Description System FlagsNot used System Flags C1C2 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 Mpar MHparN1, n2 NminesReserved Variables D7 BAR, etcD8 Reserved Variables PrtparReserved Variables D9 S1, s2To use for input into the table Parameter Description Default Value CommandNUMX, Numy D10 Reserved VariablesVar1 var2 … varm Statistical Matrix for Variables 1 to mReserved Variables D11 D12 Reserved Variables EXPFIT, PWRFIT, or LogfitCasdir Reserved Variables D14 Reserved Variables ModuloObject Size Object Type Size bytesTechnical Reference E1 Symbolic Integration Pattern AntiderivativeE2 Technical Reference Technical Reference E3 E4 Technical Reference →DEF ExpansionsTechnical Reference E5 Order OperationE6 Technical Reference International Standard publication No. ISO 31/l197 8 EGroup 2 Commands that must use Dolist to parallel process Group 1 Commands that cannot parallel processGeneral rules for parallel processing Parallel Processing with Lists F1Group 6 Oneargument, oneresult commands Group 5 Commands that set modes / statesGroup 4 ADD and + F2 Parallel Processing with ListsGroup 8 Multipleargument, oneresult commands Group 7 Two argument, one result commandsGroup 9 Multipleresult commands Group 10 Quirky commandsF4 Parallel Processing with Lists Using Dolist for Parallel Processing$ & D $ & C$ & F $ & +¥ ! &I Keycode Keystroke Definition@ & ³ @ & O ~@ & O~@ & Í @ &† @%VARNAME% = varnameKeyboard Shortcuts G3 G4 Keyboard Shortcuts Menu Numbers Syntax ExampleMenuNumber Table H1 H2 The MenuNumber Table Menus 0 throughMenuNumber Table H3 H4 The MenuNumber Table Menus 118 throughMenus 178 through BuiltIn Library MenusMenuNumber Table H5 Page Command MenuPath Table Key ALPHARS2 MTH NXT Prob+ key I2 The Command MenuPath Table Command Type Library Size Keys Menu FirstArith Modul MTH List«MODULAR» Addtoreal CAT AlgbI4 The Command MenuPath Table PRG Test NXT NXT PRG NXT Modes Flag Chinrem LS&MODE FlagPRG NXT CHRI6 The Command MenuPath Table PRG NXT NXT Time Alrm Delay CAT DelalarmRS&TIME NXT PRG NXT NXT Time NXTI8 The Command MenuPath Table «POLYNOMIAL» EGV PRG NXT NXT Error IferrMTH Matrx NXT ElseI10 The Command MenuPath Table I11 I12 The Command MenuPath Table «INTEGER» Calc Deriv NXTPRG Brch NXT «DIFF» NXT 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 DUP Menuxy Version Matrices Creat NXT NXT MTH Matrx Make NXT NXTCAT Vtype XLIB~SLV NXT I30 The Command MenuPath TableAlphalse MTH NXT Const «CONSTANTS»Σlist ΣlinePRG Test «TESTS» NXT →ALGI32 The Command MenuPath Table Code Description Character CodesAscii Character Codes and Translations J1 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

Flags:

Input/Output:

atan z

'symb'

'ATAN(symb)'

ACOS, ASIN, ISOL, TAN

ATAN2S

Type:

Full Command and Function Reference 321