| HP 50g Graphing, 48gII Graphing

Contents

HP 50g / 49g+ / 48gII graphing calculator Advanced user’s reference manualPage Acknowledgements Printing HistoryPage Contents Names AlgbAlog Amort317 Delalarm Delay→COL COL→359 Findalarm EXP2POWExpan ExpandHalt IBPIDIV2 IferrList MAX MaxrMIN NotPA2B2 ParametricParity Parsurface3183 RND RnrmRoll Rolld3226 Tabvar →TAGTail TANWireframe UpdirUtpc UtpfContents 514 →ALG Apeek ARM→ ASM ASM→ 610 Alrmdat CST Exited Expr Iopar MASD.INIToff Tpar VparContents of a Program Understanding ProgrammingExamples of Program Actions Calculations in a ProgramProgram Results To enter commands and other objects in a program Entering and Executing ProgramsTo enter a program To store or name a programTo stop an executing program 3Q!Ì*4`3/*@Ï3Q!Ì*4#3/* @Ë@Ï @% @Ér # O4 /3 *!Ì Q3 @Ë@ÏProgram Keys Comments LevelOsph K To switch between entry modes Viewing and Editing ProgramsTo view or edit a program @%SPH% ˜Using Local Variables Creating Programs on a ComputerCreating Local Variables `J!%SPH% @%SPH% ˜Program Comments `OSPHLV KEvaluating Local Names Defining the Scope of Local VariablesCompiled Local Variables Creating UserDefined Functions as ProgramsUsing Tests and Conditional Structures Testing ConditionsKey Programmable Description Command To include a test in a programUsing Logical Functions Keys Programmable Description CommandLogical Functions TEST% LUsing Conditional Structures and Commands To enter if then END in a programPress !%BRCH% !%IF% To enter IFT in a programTo enter if then Else END in a program Press !%BRCH% @%#IF#%To enter Ifte in a program or in an algebraic Press !%BRCH% L!%IFTE%To enter Case END in a program Conditional ExamplesOtst K 26 `52 J %TST%Using Definite Loop Structures Using Loop StructuresWhile … Repeat … END Start Next Structure « … start finish Start loopclause Next … »To enter Start Next in a program Press !%BRCH% !%START%Start Step Structure « … start finish Start loopclause increment Step … »To enter Start Step in a program Press ! %BRCH% … %START%For Next Structure « … start finish for counter loopclause Next … »To enter for Next in a program Press !%BRCH% ! %FOR%For Step Structure « … start finish for counter loopclause increment Step … »To enter for Step in a program Press ! %BRCH% … %FOR%Using Indefinite Loop Structures Do Until END Structure« … do loopclause Until testclause END … » To enter do Until END in a programDuplicates n, stores the value into n While Repeat END Structure « … While testclause Repeat loopclause END … »To enter While Repeat END in a program Press !%BRCH% ! %WHILE%To enter Incr or Decr in a program Using Loop CountersPress ! #MEM# %ARITH% %INCR% or %DECR% Using Summations Instead of Loops ∑ jUsing Flags Setting, Clearing, and Testing FlagsTypes of Flags To set, clear, or test a flagRecalling and Storing the Flag States ExampleMonth/day/year format Day.month.year formatUsing Subroutines To recall the current flag statesExecute Rclf !L %MODES% %FLAG% L%RCLF% To change the current flag statesTorsv K Torsa K` 8 J %TORSV% To singlestep from the start of a program To turn off the Halt annunciator at any timePress !LL %RUN% %KILL% @·J6 `8 `O%TORSV% !LL%RUN% %DBUG%To singlestep from the middle of a program To singlestep when the next step is a subroutine@·J10 `12 O%TORSV% !LL%RUN% %DBUG% Trapping Errors Causing and Analyzing ErrorsTo cause a userdefined error to occur in a program SingleStep OperationsTo artificially cause a builtin error to occur in a program To analyze an error in a programError Trapping Commands %ERROR%Making an Error Trap « … Iferr trapclause then errorclause END … »Press !LL %ERROR% !%IFERR% Iferr then END StructureIferr then Else END Structure Press !LL %ERROR% @%IFERR%To enter Iferr then Else END in a program Data Input Commands Using PROMPT, Cont for InputKey Command Description Input`OTPROMPT ‰ @·J %TPROM%To enter Disp Freeze Halt in a program Using Disp Freeze HALT, Cont for InputTo respond to Halt while running a program Using INPUT, Enter for Input « … promptstring commandline Input OBJ→ … »To enter Input in a program To respond to Input while running a program%VSPH% Commandline cursorposition operatingoptions To design the commandline string for InputTo include Input options CursorpositionPress @ Õ ! Ê a @ To process the result string from Input`O Tinput ‰ %TINPU% Using Inform and Choose for Input To set up an input formTo set up a choose box `OPHONES ‰ Using Wait for Keystroke Input Beeping to Get AttentionTo enter Beep in a program To enter Wait in a programUsing KEY for Keystroke Input Data Output CommandsOutput OUT%Labeling Output with Tags Labeling and Displaying Output as StringsTo label a result with a tag %TTAG% 1.5 ˜1.85 `Pausing to Display Output Using Msgbox to Display OutputTo set up a message box `OTSTRING ‰Using Menus with Programs Using Menus for InputUsing Menus to Run Programs To create a menubased applicationOlst ‰ SI%@·J%EIZ% Turning Off the Calculator from a Program %% !Ü.37~@6 68 %%I%% !%%Z%%@%%I%% 2*%%I%% !%%E%% To turn off the calculator in a programPage FIB1 Fibonacci Numbers, Recursive Version Fibonacci NumbersRPL Programming Examples %FIB1% FIB2 Fibonacci Numbers, Loop VersionFIB1% !Ü10 N %FIB2% FIB2 program listing10 %FIB2% Fibt Comparing ProgramExecution Time Techniques used in FibtStructured programming. Fibt calls both FIB1 and FIB2 Required ProgramsDisplaying a Binary Integer PAD Pad with Leading Spaces13 %FIBT% Techniques used in PADPreserve Save and Restore Previous Status PAD program listing`OPAD K Techniques used in PreservePreserve program listing Bdisp Binary Display`OPRESERVE K Techniques used in Bdisp PADBdisp program listing `OBDISP KTile Percentile of a list Median of Statistics Data144 %BDISP% Median Median of Statistics Data Techniques used in %TILETile program listing `O%TILE KTechniques used in Median Required ProgramExpanding and Collecting Completely `OMEDIAN K18 `12 `˜šš 11 `1 `Multi Multiple Execution Techniques used in MultiMulti program listing `OMULTI KExco Expand and Collect Completely Techniques used in ExcoExco program listing `OEXCO KMinimum and Maximum Array Elements MNX Minimum or Maximum Element-VersionÜ4 *Y+Z + User and system flags for logic controlMNX program listing `OMNX K12 `56 `˜šš 45 `1 ` MNX2 Minimum or Maximum Element-VersionTechniques used in MNX2 MNX2 program listing Applying a Program to an Array %MNX2%Techniques used in Aply Aply program listingMake sure the flag 1 is clear to begin Converting Between Number Bases `OAPLY KÔ3†2W†4` ‚Å 3 QA *7 `J %APLY% H#DISP ˜˜ Techniques used in nBASENBASE program listing Verifying Program Arguments 1000 `23 J %NBASE%Names Check List for Exactly Two Names Techniques used in NamesNames program listing `ONAMES KTechniques used in VFY VFY Verify Program ArgumentVFY program listing Converting Procedures from Algebraic to RPN Oben `Ojeff ` Osarah ` %LIST% %²LIST%Techniques used in →RPN →RPN program listingXQ3 `%²RPN% Bessel FunctionsTechniques used in BER BER program listing `OBER K%BER% %BER% !Ü2Animation of Successive Taylor’s Polynomials Sintp Converting a Plot to a Graphics ObjectTechniques used in Sintp Sintp program listingSetts Superimposing Taylor’s polynomials Techniques used in SettsSetts program listing `OSETTS KTSA Animating Taylor’s Polynomials Techniques used in TSATSA program listing `OTSA KProgrammatic use of matrices and statistics commands Programmatic Use of Statistics and PlottingTechniques used in PIE Temporary menu for data inputAngle `OPIE K 983 %SLICE% 416 %SLICE% 85 %SLICE%Trace Mode Techniques used in αENTER and ßENTERΑENTER program listing ßENTER program listingInverseFunction Solver Techniques used in RootrRootr program listing `OROOTR KAnimating a Graphical Image @Å@É x †O3.7%X²FX% ` 599.5 ` 1 %ROOTR% Techniques used in Walk`OWALK K Introduction AcosType Input/OutputOther Provided Details How Commands Are AlphabetizedParallel Processing with Lists Computer Algebra System Commands and Functions Classification of OperationsBackup identifier Realnumber time or angle in hoursminutessecond s formatLibrary identifier Binary integerABS AbcuvACK Ackall Type DescriptionACOS2S ASIN, ATAN, COS, IsolAcosh ASIN2C, ASIN2T, ATAN2SAcosh z Symb ACOSHsymbADD AddtmodAddtoreal AlgbAlog 10zPrincipal Interest Balance AmortTVM, TVMBEG, TVMEND, Tvmroot Animate ANSApply Access …µAPPLY Input/OutputARC Archive ARGAccess …µARRY→ Input/Output AritARRY→ →ARRYAccess !¼ ¼is the leftshift of the Skey ASIN2T ASIN2CAsinh ASN Asinh zSymb ASINHsymb ACOSH, ATANH, ISOL, SinhAccess … ÃL BIT ASR ASRAssume SkeyAtan ADDTOREAL, UnassumeATAN2S Atan zSymb ATANsymb ACOS, ASIN, ISOL, TANAccess …µATICK AtanhAtick Atanh zAccess …µATTACH Input/Output AttachAugment #n #mAccess …µAUTO Input/Output None AutoAxes BARAccess …µAXES Input/Output AXLAXM Atick xaxis label yaxis labelAXQ BARAXL, AXQ AXL, AXM, GAUSS, QXAAccess …µBAR Input/Output None BarplotBasis BaudAccess …µBESTFIT Input/Output None Access … Ã BINBeep BestfitAccess !L Pict BOX Is the leftshift of the Nkey BinsBlank BOXAccess …µBUFLEN Input/Output BuflenBytes #n1 #m1 #n2 #m2 X1, y1 X2, y2C2P Access … Ã B → RCascfg Case CascmdHelp Ceil CentrXunit Nunit Symb CEILsymb FLOOR, IP, RND, TrncChinrem CholeskyChoose Command ResultCHR Circ CksmNUM, POS REPL, SIZE, SUBClear ClkadjCllcd CloseioCLΣ ClusrClvar CmplxCOL→ →COLCOL COL+ ColctCollect Symb1 Symb2Colσ CombCON Symb COMBsymb ,m COMBn, symb COMBsymb ,symbCond Rarray constantCarray constant Name IDNConic Access …µCONIC Input/Output NoneConj Conlib ConstConstants Rarray Carray Symb CONJsymbCont ConvertCorr X1unitssource X2unitstarget X3unitstargetAccess Flags COSCosh COVCrdir CrossCswp …µCRCurl CyclotomicCylin COL+, COL-, Rswp→PX DarcyDate #n, #m→DATE DATE+Dbug →dateDdays DECDecr « program » or program nameDedicace DEFDefine Result See alsoDelalarm DEGDegree Name=exp Namename Name =expnameDelay RCLALARM, StoalarmDelkeys CR, OLDPRT, PRLCD, PRST, PRSTC, PRVAR, PR1Access …µDEPND Input/Output DepndDepth Xkey1, ... ,xkey nDervx DerivDesolve Access …µDETACH Input/Output DETDetach Attach→DIAG DIAG→Diagmap Diff DiffeqDIR Access …µDIFFEQ Input/OutputDisp Dispxy DistribObj List FREEZE, HALT, INPUT, PromptDIV DIV2DIV2MOD CURL, HessDivis DivmodDivpc DIV2TAYLOR0, TAYLR, Series DERIV, DERVX, DESOLVE, ∂Until testclause END ENDDoerr ErrorDolist List List n « program » Results Command Name List n+1 DomainDosubs SIGNTAB, TabvarList « program » Command Name DOTDOLIST, ENDSUB, NSUB, Stream CNRM, CROSS, DET, RnrmAccess …µDRAW Access …µDRAX Input/Output NoneDraw DRAW3DMATRIXDroite DropDROP2 LagrangeDropn DtagDUP DUP2Dupdup DupnEditb EditEgcd EGV EgvlElse ENDEndsub ENGEPSX0 Sign mantissa E sign exponentEqnlib EQWEQ→ EraseERR0 ErrmErrn EulerEval ExlrObj See above →NUMEXP EXP&LNEx,y = excosy + iexsiny EXP2POW EXP2HYPExpan Expand ExpandmodCOLCT, EXPAND, ISOL, QUAD, Show Result X2+XExpfit ExplnExpm EyeptF0λ FactFactor …µF0λFactors FactormodModsto Fanning Access …µFANNINGFAST3D Access …µFAST3D Input/Output None Access ! Test LL FC ? CFcoef FC?Fdistrib FFTCF, FC?, FS? FS?C, SF DistribFindalarm Access …µFINISHFiler FinishFlasheval FloorFONT6 Xunit Nunit Symb FLOORsymbFONT7 FONT8FONT→ →FONTFor Fourier FreeFreeze Xunit Yunit Symb FPsymbFroots FS?Display Area Value Code CLLCD, DISP, HaltFunction FS?CCF, FC?, FC?C, FS?C, SF Fxnd Access …µFUNCTIONExlr Gamma GaussGbasis AXQ, QXAGCD GcdmodGET GCDMOD, EGCD, IEGCD, LCMObjget GetiGETI, PUT, Puti GOR GradGET, PUT, Puti #n #m Grob1Gramschmidt GraphGreduce DEG, RADAccess …µGRIDMAP Input/Output None Access …µ→GROBGridmap →GROBGrob GrobaddGxor →LCD, LCD→Hadamard HalftanHalt GOR, REPL, SUBHead HEADER→→HEADER HelpHermite HessHEX CURL, DIVHilbert HistogramAccess …µHISTPLOT Input/Output None HistplotHMS HMS+HMS→ →HMS… & 9L HMS + … &9L HMS →Horner HomeIabcuv Ibasis IbernoulliIBP ABCUV, IegcdIchinrem IDNResults See also ChinremIDIV2 IegcdDIV2, Iquot Ax+by=cCase IferrELSE, END, IFERR, then ∑ Y k e IfftIFT IfteIlap Obj It dependsImage LAP, Lapl…ßIM Rarray Carray Symb IMsymbIncr IndepInform Global Global xstart xendResets Title Format Resets Init → valsInput InitINT Stack prompt Commandline prompt ResultPROMPT, STR→ Integer IntvxINV INTVX, RischInvmod Command INVMOD2 ResultIquot Iremainder IsolIsom Symb1 Global Symb2ISPRIME? JordanMkisom NEXTPRIME, PrevprimeKER KerrmKEY BASIS, ImageKeyeval Access …µKEYEVAL Input/Output→KEYTIME KEYTIME→ KgetKill LabelAccess …µ→LANGUAGE Input/Output LagrangeLANGUAGE→ →LANGUAGELAP LaplLast Objn Obj1Lastarg LCD→→LCD LCMLcxm LdecLgcd LibevalLibs HERMITE, TchebycheffLim LimitLIN Title, nlib, nport, ...,title, nlib, nportLine ΣlineLinfit Model Form of ExpressionLinin LinsolveLIST→ →LISTΠlist ListΣlist Access …¹ ¹is the rightshift of the Qkey Lncollect LnameLNP1 Local LOGLn x + Symb LNP1symbAccess !Ø Input/Output LogfitAccess …µLR Input/Output Full Command and Function Reference 3139LSQ Intercept x Slope xLvar MADDET, INV LnameAccess …µMAP Input/Output MainMant MAPAccess …µ↓MATCH Input/Output Access …µ↑MATCH↑MATCH Symb Symb symbMaths MatrMAX Symb Symb , symbMaxr MaxσMcalc Input/Output See alsoMean MEMMenu BINS, MAXΣ, MINΣ, SDEV, TOT, VARMenuxy RCLMENU, TmenuMerge MINMinehunt MENU, TmenuMINIFONT→ →MINIFONTMinit MinrMinσ MitmMkisom 00000000000E-499MOD ModstoModular Mod yMolwt MrootMsgbox Name Or xunit StringMslv MsolvrMultmod Muser→NDISP EQNLIB, MCALC, MINIT, MITM, MROOT, MSLV, MuserAccess …ß NEG ßis the rightshift of the 1key NdistNdupn NEGNext NewobNextprime Access ! Test L not Is the leftshift of the Nkey NIPNot NovalNsub →NUMNUM …µNΣNumy NumxOBJ→ OCT OFFOldprt … &NL OBJ →Access …µOPENIO Access …µOLDPRTOpenio Order OverMemory Directory Lorder is the leftshift of the Nkey Global1 ... globalnP2C PA2B2Parametric Xmin, ymin, xmax, ymax, indep, res, axes, ptype, dependAccess …µPARITY Input/Output ParityParsurface PartfracPath PcarPcoef Home directoryname 1 ... directoryname nPcontour Access …µPCONTOUR Input/Output NonePcov Pdim PerinfoPerm Xmax, ymaxPertbl PevalPgdir PickPict Command Puts the name Pict on the stack PictPicture PinitAccess …µPKT PIX?Pixoff PixonPlot PlotaddPmax PminPmini PolarFinds the minimal polynomial of a matrix An nxn matrix aAccess …µPOLAR PolynomialPOP Form of Current Plotting Action EquationInput An expression raised to a power POSPotential PowexpandPowmod PR1Predv Predx…µPR1 ObjectPredy PrevalPrevprime PrlcdPrompt PromptstoProot PropfracGlobal→ Prompt STOPrst PrstcPrvar Name Name1 name2 Nport globalPsdev PSIPsi MEAN, PCOV, PVAR, SDEV, TOT, VARPtayl PtpropPurge Symb String or x or xunit or namePush PUTGlobal Global1 ... globaln CLEAR, CLVAR, NEWOB, PgdirThis command sequence PutiObj put List Obj put List NamePvars PvarMEAN, PCOV, PSDEV, SDEV, VAR Access …µPVARS Input/Output Nport namebackup MemoryPview Pwrfit→Qπ PX→C+ c/d*i Quad ̟ + c/ d* ̟+ c/ d LQ, LSQQuot QuoteArithmetic, !ÞPOLYNOMIAL !« Quotient of the Euclidean divisionQXA RADRand RankAccess …µRATIO RanmRatio LQ, LSQ, QRRceq RCIRcij SteqRclalarm RCLFINDALARM, Stoalarm RclfRclkeys RclmenuRclvx RclσRcws RDMCOMB, PERM, Rand RDZ…ßL RE Recn RectRecv REsymbRemainder RenameQuot New name Old nameReorder RepeatRepl END, WhilePlot Type Default Interval RESString target String String resultRestore Backup To restore aResultant SlopefieldRewrite RevlistRisch RKF RkferrRkfstep Problem for a differential equationIs the rightshift 3key RLB RNDRLB, RR, RRB RNDsymbRnrm RollRolld RomuploadRoot ROTROW 3207ROW→ ROW+→ROW Access … ÃL Byte RRB Is the rightshift of the 3key RPLRRB RL, RLB, RRBRref RrefRrefmod RRK− 2 t + t 2 RrkstepRSD RsberrRKF, RKFERR, RKFSTEP, RRK, Rsberr Access … Ã R → B RswpRules DET, IDNSame →R, IM, RE180/̟x →DsymbAccess …µSCALEH Input/Output SbrkScale ScalehScatter ScatrplotAUTO, SCALEH, Xrng Access …µSCATTER Input/Output None SchurSCI SclσSconj ScrollSdev SendSeries SEQDOSUBS, Stream Server SevalShow SidensSigma X1/cm3Access !ÖDERIV L Access !ÖDERIV LLSigmavx SignSigntab SIMP2SIGNsymb ABS, MANT, XponSimplify SINSincos Sin zSinh SinvSize Sinh zSLB SlopefieldString Integer List Vector Symb GrobSnrm SnegNEG, SCONJ, Sinv Solve SolveqnSolvevx SolverSort Sphere SradSquare Analytic Function Returns the square of the argument SQsymbSRB SrecvCOND, SNRM, Trace ASR, SL, SLB, SRAccess …µSRECV SreplSST SST↓STD StartStep Access …µSTIME StepSteq StimeStoalarm Access Input/OutputSTO BuflenAccess …µSTOF StofStokeys Óis the rightshift of the 9 keyStovx StoreSTO+ STO/, + Stoσ STR→→STR DTAG, EQ→, LIST→, OBJ→, →STRStream StrmSturm List Obj ResultSturmab StwsSUB SturmabSubst SubtmodX1, y1 X2, y2 CHR, GOR, GXOR, NUM, POS, REPL, SizeSVD SVLSwap DIAG→, MIN, SVLSylvester SysevalSYST2MAT Tabval 100 yX, symb Symb 1, symbTabvar →TAGTail →ARRYTAN TAN2CS2TAN2SC Tan zTAN2SC2 TanhTanh z TANHsymbTAYLOR0 TaylrTchebycheff HERMITE, LegendreTcollect TdeltaTests TDELTAsymb1, symb2Teval TexpandText ThenTicks Time→TIME TincTlin TlineTINCsymb1, symb2 SIMPLIFY, TCOLLECT, TexpandTmenu TOTTrace TranTransio TrigEffect BAUD, CKSM, ParityTrigcos TrigoTrigsin TrigtanTrnc TRNCONJ, Tran Trunc TruthTRNCz TRNCsymbTsimp Access …µTRUTH Input/Output NoneTstr Tvars TVMTvmbeg TvmendBuiltin Commands TypeUbase Object Type Number User objectsUfact UFL1→MINIFUnassign Unassume→UNIT UnbindUnpick Unrot UntilUpdir UtpcUtpf UtpnUTPF, UTPN, Utpt UTPC, UTPN, UtptUval UtptUVALsymb Flag -16 clear Rectangular mode Flag -16 set Polar mode € y Coordinate System -16, Complex ModeX1, x2 X1, x2, ..., xn Xn-2Vandermonde VARAccess …µVERSION Input/Output VarsVER VersionVariable name Contents opened in the command line Editor Variable name Contents opened in the most suitable EditorVisit VisitbVtype Access ! L in Wait Is the leftshift of the NkeyWait Wireframe WhileWhile testclause Repeat loopclause END While RepeatWslog Access …µWSLOG Access …µΣX Input/OutputΣX2 Log4 ... log1ΣX2 XcolXget XmitXnum Access …µXMITXOR Xpon XputXPONsymb MANT, SignCommand XQ.3658 Results 1829/5000 Command XQ.3658 Results √19/142Xrecv XrngAccess …µXSEND XsendXserv Input/Output RPNXvol XxrngΣXY ΣX*YΣY2 ΣY2Ycol …µΣYYslice YrngAUTO, PDIM, PMAX, PMIN, Xrng Yvol YyrngZeros EYEPT, XVOL, XXRNG, YYRNG, ZvolPower Access QZfactor ZvolWhere √ Square RootZsymb SymbzSQ, , Isol Access …Á Áis the rightshift of the Ukey Integrate? Undefined Lower limit, upper limit, integrand, name∞ Infinity SummationSigma 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 m∂ Derivative Factorial14159265359… Symb Name XunitPercent Unit attachmentXy/100 Symb,xLess than « » Program delimitersType Object Description ≤ Less than or Equal #n1 #n2Greater than ≥ Greater than or Equal≠ Not equal Multiply ≠ symb+ Add Subtract Divide = Equal Y1/unit== Logical Equality Store → Create LocalDEFINE, RCL, →, STO … ÉSemicolon CLEAR, DROP, DROPN, DROP2CAS Settings Selecting CAS SettingsPoints to note when choosing settings CAS directory, CasdirComputer Algebra System Using the CAS Examples and HelpCompatibility with Other Calculators Extending the CASComputer algebra command categories listed by menu Arithmetic commandsAlgebra commands, …× Arithmetic Integer commands, !ÞINTEGERArithmetic Permutation commands, !Þ Permutation Arithmetic Modulo commands, !Þ ModuloOther Arithmetic commands, !Þ Calculus commands Exp and Lin commands, !Ð Matrixrelated commandsCreate, !Ø Create Operations, !Ø OperationsQuadratic form, !Ø Quadratic Form Linear Systems, !Ø Linear SystemsLinear Applications, !Ø Linear Appl Eigenvectors, !Ø EigenvectorsSymbolic solve commands, !Î Trigonometry commandsOther Trigonometry commands, …Ñ Hyperbolic, …Ñ HyperbolicConvert commands, !Ú Unit conversion tools, !Ú Units ToolsBase conversion tools, !Ú Base Trigonometric conversions, !Ú Trig ConvOther CAS operations, …µ Matrix convert, !Ú Matrix ConvertThese commands display menus or lists of CAS operations CAS menu commands, …µCAS utility operations Equation Reference Equation ReferenceFLUIDS, 24 *********************3 Columns and Beams Variable DescriptionΣcr Critical stress Σmax Maximum stress Internal bending moment atElastic Buckling 1 Eccentric Columns 1Equations ExampleSimple Slope 1 Simple Deflection 1Equation Simple Moment 1 Solution V=624.387lbfSimple Shear 1 Cantilever Slope 1 Cantilever Deflection 1Cantilever Moment 1 Solution V=200lbf Equation Reference Cantilever Shear 1Relative permittivity ElectricityRelative permeability Ohm’s Law and Power 2 Coulomb’s Law 2Wire Resistance 2 Solution V1=80VSolution I1=5.6250A Voltage Divider 2Series and Parallel R 2 Solution R=0.175Series and Parallel C 2 Solution V=50V Series and Parallel L 2Capacitive Energy 2 Inductive Energy 2RLC Current Delay 2 Solution q=0.0020C Equation ReferenceDC Capacitor Current 2 Capacitor Charge 2Solution V=3.2968V DC Inductor Voltage 2RC Transient 2 RL Transient 2Solution I=0.0072A Resonant Frequency 2Plate Capacitor 2 Cylindrical Capacitor 2,19Solenoid Inductance 2 Toroid Inductance 2Sinusoidal Voltage 2 FluidsSinusoidal Current 2 Pressure at Depth 3 Bernoulli Equation 3Reynolds number Initial and final velocitiesFlow with Losses 3 Forces and Energy Flow in Full Pipes 3Linear Mechanics 4 Centripetal Force 4 Angular Mechanics 4Hooke’s Law 4 1D Elastic Collisions 4 Drag Force 4Law of Gravitation 4 MassEnergy Relation 4Gases Ideal Gas Law 5Solution Vf=21 Ideal Gas State Change 5Isothermal Expansion 5 Polytropic Processes 5Real Gas Law 5 Real Gas State Change 5Heat Transfer Kinetic Theory 5Thermal Expansion 6 Heat Capacity 6Conduction 6 Convection 6 Conduction + Convection 6Magnetism Black Body Radiation 6Fba Ia, IbStraight Wire 7 Force between Wires 7Magnetic B Field in Solenoid 7 Solution B=0.0785TMagnetic B Field in Toroid 7 Motion Object in Free Fall 8 Linear Motion 8Projectile Motion 8 Angular Motion 8 Circular Motion 8Terminal Velocity 8 Escape Velocity 8Optics Law of Refraction 9Critical Angle 9 Brewster’s Law 9Solution n2=1.5000 Spherical Reflection 9Spherical Refraction 9 Thin Lens 9Oscillations Simple Pendulum 10 MassSpring System 10Example Given L=15cm Torsional Pendulum 10 Conical Pendulum 10Simple Harmonic 10 Plane Geometry Ellipse 11 Circle 11Equations Example Rectangle 11 Regular Polygon 11Circular Ring 11 Triangle 11Solid Geometry Cone 12Cylinder 12 Parallelepiped 12Sphere 12 Solid State Devices Saturation current density Drawn mask length PN Step Junctions, orDrawn gate length Nmos Transistors, or Channel length JFETsPN Step Junctions 13 Nmos Transistors 13 VDSBipolar Transistors 13 JFETs 13Xdmax = ⋅ Vbi VGS + VDS Maximum principal normal stress Stress AnalysisMinimum principal normal stress Shear Stress 14 Normal Stress 14Stress on an Element 14 Mohr’s Circle 14 ExampleTransverse Waves 15,1 WavesLongitudinal Waves 15 Sound Waves 15 References Page Development Library Development Library Command Reference Obj StringObj1 … objn Symb Obj1, ...,objn Development LibraryBetaTesting String Obj Debug string Error listString Obj Code StringLibrary Object String String Error list Edited stringLibrary n LC~C Ey,z.Et→LST Obj … obj Obj 1, ...,obj nPokearm Obj 1 … obj n Obj 1, ...,obj n→S2 String1 String2Returns String GlobalCrlib Create Library Command XlibExtension program Masd The Machine Language and System RPL Compiler IntroductionStarting Masd ModesFormat of the error list ErrorsError messages Message Description Links LabelsExtable ConstantsExpressions Operator Priority Macros and includesCompilation directive Filename conventionsDirective Description !DBGINF directive DocstrCPU architecture Saturn ASM modeBit registers New instructions Other notesSkips Skips instructions Equivalents These instructions Are equivalent toTests Saturn instructions syntax Syntax ExampleSyntax 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 mode ARM architectureInstruction set Description FormOperation Assembler Action Flags Armsat instruction Offset ElementREG a REG BREG C REG D REG R0 REG R1 REG R2 REG R3 REG R4 System RPL mode InstructionsReals and system binary Unnamed local variablesTokens DefinesToken Description Code LC 001 Gosbvl Outcinrtn ?CBIT=1.6 Turnmenuoff LC 80100 Armsat Disassemblers LevelEntry Point Library Extable LibraryNop String String 1, ...,string nError and Status Messages A1 Messages Listed AlphabeticallyMessage Meaning # hex C0CA2 Error and Status Messages Error and Status Messages A3 A4 Error and Status Messages ΣdatError and Status Messages A5 A6 Error and Status Messages Error and Status Messages A7 C0EC0B C0DA8 Error and Status Messages Error and Status Messages A9 # hex Message General MessagesA10 Error and Status Messages # hex MessageError and Status Messages A11 OutofMemory PromptsStack Errors and Messages A12 Error and Status MessagesObject Editing Messages Equation Writer Application Messages# hex Message FloatingPoint Errors Error and Status Messages A13Array Messages Statistics MessagesMode and Plot Input Form Prompts A14 Error and Status MessagesError and Status Messages A15 # hex Message 70FA16 Error and Status Messages 73FError and Status Messages A17 75FA18 Error and Status Messages 78FError and Status Messages A19 A20 Error and Status Messages Advanced Statistics MessagesError and Status Messages A21 80FA22 Error and Status Messages 82FError and Status Messages A23 85FA24 Error and Status Messages 87FStatistics Help Messages Error and Status Messages A25HP Solve Application Messages # hex Message Unit Management PrintingTime Messages Programmer’s DoerrError and Status Messages A27 A28 Error and Status Messages System Flags Choose Box PromptsError and Status Messages A29 A30 Error and Status Messages Error and Status Messages A31 A32 Error and Status Messages PromptsError and Status Messages A33 A34 Error and Status Messages Error and Status Messages A35 Statistics PromptsTime and Alarm Prompts A36 Error and Status MessagesError and Status Messages A37 Symbolic Application Prompts A38 Error and Status MessagesError and Status Messages A39 Plot Application PromptsA40 Error and Status Messages Error and Status Messages A41 A42 Error and Status Messages Solve Application PromptsError and Status Messages A43 A44 Error and Status Messages Error and Status Messages A45 CAS MessagesA46 Error and Status Messages Error and Status Messages A47 A48 Error and Status Messages Filer Application MessagesDF0A DF0B DF0C DF0D DF0E DF0F DF1A DF1B DF1C DF1D DF1E DF1FError and Status Messages A49 Constants Library MessagesA50 Error and Status Messages Equation Library MessagesMinehunt Game Prompts MultipleEquation Solver MessagesError and Status Messages A51 Periodic Table MessagesFinancial Solver Messages Development Library and Miscellaneous MessagesA52 Error and Status Messages Units Tables of Units and Constants B1B2 Tables of Units and Constants Tables of Units and Constants B3 B4 Tables of Units and Constants Tables of Units and Constants B5 Constant Full Name Value in SI UnitsProperties of Elements B6 Tables of Units and ConstantsSystem Flags Flag DescriptionNot used System Flags C1C2 System Flags System Flags C3 C4 System Flags System Flags C5 C6 System Flags System Flags C7 Internal use only /0 occurred C8 System FlagsUser Flags System Flags C9Page Reserved Variables D1 Contents of the System Reserved Variables ΒENTER Reserved Variables D3Exited D4 Reserved VariablesReserved Variables D5 MHpar MparN1, n2 NminesBAR, etc Reserved Variables D7Prtpar D8 Reserved VariablesS1, s2 Reserved Variables D9Parameter Description Default Value Command To use for input into the tableNUMX, Numy D10 Reserved VariablesStatistical Matrix for Variables 1 to m Var1 var2 … varmReserved Variables D11 EXPFIT, PWRFIT, or Logfit D12 Reserved VariablesCasdir Reserved Variables Modulo D14 Reserved VariablesObject Type Size bytes Object SizeTechnical Reference E1 Pattern Antiderivative Symbolic IntegrationE2 Technical Reference Technical Reference E3 →DEF Expansions E4 Technical ReferenceOrder Operation Technical Reference E5International Standard publication No. ISO 31/l197 8 E E6 Technical ReferenceGroup 1 Commands that cannot parallel process Group 2 Commands that must use Dolist to parallel processGeneral rules for parallel processing Parallel Processing with Lists F1Group 5 Commands that set modes / states Group 6 Oneargument, oneresult commandsGroup 4 ADD and + F2 Parallel Processing with ListsGroup 7 Two argument, one result commands Group 8 Multipleargument, oneresult commandsGroup 9 Multipleresult commands Group 10 Quirky commandsUsing Dolist for Parallel Processing F4 Parallel Processing with Lists$ & C $ & D$ & F $ & +Keycode Keystroke Definition ¥ ! &I@ & ³ @ & O ~@ & O@%VARNAME% = varname ~@ & Í @ &†Keyboard Shortcuts G3 G4 Keyboard Shortcuts Syntax Example Menu NumbersMenuNumber Table H1 Menus 0 through H2 The MenuNumber TableMenuNumber Table H3 Menus 118 through H4 The MenuNumber TableBuiltIn Library Menus Menus 178 throughMenuNumber Table H5 Page Key ALPHARS2 MTH NXT Prob Command MenuPath Table+ key Command Type Library Size Keys Menu First I2 The Command MenuPath TableMTH List Arith Modul«MODULAR» Addtoreal CAT AlgbI4 The Command MenuPath Table LS&MODE Flag PRG Test NXT NXT PRG NXT Modes Flag ChinremPRG NXT CHRI6 The Command MenuPath Table CAT Delalarm PRG NXT NXT Time Alrm DelayRS&TIME NXT PRG NXT NXT Time NXTI8 The Command MenuPath Table PRG NXT NXT Error Iferr «POLYNOMIAL» EGVMTH Matrx NXT ElseI10 The Command MenuPath Table I11 I12 The Command MenuPath Table Calc Deriv NXT «INTEGER»PRG 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 Matrices Creat NXT NXT MTH Matrx Make NXT NXT DUP Menuxy VersionCAT Vtype XLIB~I30 The Command MenuPath Table SLV NXTAlphalse MTH NXT Const «CONSTANTS»Σline ΣlistPRG Test «TESTS» NXT →ALGI32 The Command MenuPath Table Character Codes Code DescriptionAscii Character Codes and Translations J1 Code Trans. Description J2 Ascii Character Codes and TranslationsIndex 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

HP 50g Graphing, 48gII Graphing manual

Models: 50g Graphing 48gII Graphing