Exp and Lin commands, !Ð, Create, !Ø Create

Exp and Lin commands, !Ð
EXPLN	381
EXPM	381
LIN	3131
LNCOLLECT	3136
LNP1	3136
TEXPAND	3252
TSIMP	3260
Matrixrelated commands
Create, !Ø CREATE
AUGMENT	323
IDN	3110
CON	341
→DIAG	358
DIAG→	358
GET	396
GETI	397
HILBERT	3105
PUT	3183
PUTI	3184
RANM	3191
RDM	3195
REPL	3199
SUB	3242
VANDERMONDE	3269
Operations, !Ø OPERATIONS
ABS	35
AXL	325
AXM	325
CNRM	338
COND	342
DET	357
HADAMARD	3102
LSQ	3139
MAD	3140
RANK	3190
RNRM	3206
RSD	3213
SIZE	3226
SNRM	3228
SRAD	3231

Computer Algebra System 47

Page 431

Image 431

HP 48gII Graphing manual Exp and Lin commands, !Ð, Matrixrelated commands, Create, !Ø Create, Operations, !Ø Operations

Contents

Advanced user’s reference manual HP 50g / 49g+ / 48gII graphing calculatorPage Printing History AcknowledgementsPage Contents Amort NamesAlgb Alog 317 COL→ DelalarmDelay →COL 359 Expand FindalarmEXP2POW Expan Iferr HaltIBP IDIV2 List Not MAXMaxr MIN Parsurface PA2B2Parametric Parity 3183 Rolld RNDRnrm Roll 3226 TAN Tabvar→TAG Tail Utpf WireframeUpdir Utpc Contents 514 →ALG Apeek ARM→ ASM ASM→ 610 Vpar AlrmdatCST Exited Expr Iopar MASD.INI Toff Tpar Understanding Programming Contents of a Program Program 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@Ï Osph 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 Comments Defining the Scope of Local Variables Evaluating Local Names Creating UserDefined Functions as Programs Compiled Local Variables To include a test in a program Using Tests and Conditional StructuresTesting Conditions Key Programmable Description Command TEST% L Using Logical FunctionsKeys Programmable Description Command Logical Functions To 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 algebraic Conditional Examples To enter Case END in a program 26 `52 J %TST% Otst K While … 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 program Press ! %BRCH% … %START% Start Step Structure« … start finish Start loopclause increment Step … » To enter Start Step in a program Press !%BRCH% ! %FOR% 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 To 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 program Press ! #MEM# %ARITH% %INCR% or %DECR% Using Loop CountersTo enter Incr or Decr in a program ∑ j Using Summations Instead of Loops To set, clear, or test a flag Using FlagsSetting, Clearing, and Testing Flags Types of Flags Day.month.year format Recalling and Storing the Flag StatesExample Month/day/year format To 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 Commands Iferr 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 Input To 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 program OUT% 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 box Using Menus for Input Using Menus with Programs SI% 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 FIB2 Techniques 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 listing 144 %BDISP% Median of Statistics DataTile Percentile of a list `O%TILE K Median Median of Statistics DataTechniques used in %TILE Tile program listing Required Program Techniques used in Median 11 `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 listing User and system flags for logic control Minimum and Maximum Array ElementsMNX Minimum or Maximum Element-Version Ü4 *Y+Z + `OMNX K MNX program listing Techniques 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 Aply Make 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 listing VFY 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 →RPN Techniques 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 listing Temporary menu for data input Programmatic use of matrices and statistics commandsProgrammatic Use of Statistics and Plotting Techniques used in PIE Angle 983 %SLICE% 416 %SLICE% 85 %SLICE% `OPIE K ßENTER program listing Trace ModeTechniques used in αENTER and ßENTER ΑENTER program listing `OROOTR K InverseFunction SolverTechniques used in Rootr Rootr program listing Techniques used in Walk Animating a Graphical Image@Å@É x †O3.7 %X²FX% ` 599.5 ` 1 %ROOTR% `OWALK K Input/Output IntroductionAcos Type Parallel Processing with Lists How Commands Are AlphabetizedOther Provided Details Classification of Operations Computer Algebra System Commands and Functions Binary integer Backup identifierRealnumber time or angle in hoursminutessecond s format Library identifier ACK AbcuvABS Type Description Ackall ASIN, ATAN, COS, Isol ACOS2S Symb ACOSHsymb AcoshASIN2C, ASIN2T, ATAN2S Acosh z Addtmod ADD 10z AddtorealAlgb Alog TVM, TVMBEG, TVMEND, Tvmroot AmortPrincipal Interest Balance ANS Animate ARC 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 ASINHsymb Skey Access … ÃL BIT ASRASR Assume ADDTOREAL, Unassume Atan ACOS, ASIN, ISOL, TAN ATAN2SAtan z Symb ATANsymb Atanh z Access …µATICKAtanh Atick #n #m Access …µATTACH Input/OutputAttach Augment BAR Access …µAUTO Input/Output NoneAuto Axes Atick xaxis label yaxis label Access …µAXES Input/OutputAXL AXM AXL, AXM, GAUSS, QXA AXQBAR AXL, AXQ Baud Access …µBAR Input/Output NoneBarplot Basis Bestfit Access …µBESTFIT Input/Output NoneAccess … Ã BIN Beep BOX Access !L Pict BOX Is the leftshift of the NkeyBins Blank #n1 #m1 #n2 #m2 X1, y1 X2, y2 Access …µBUFLEN Input/OutputBuflen Bytes Cascfg Access … Ã B → RC2P Help CascmdCase FLOOR, IP, RND, Trnc CeilCentr Xunit Nunit Symb CEILsymb Cholesky Chinrem CHR Command ResultChoose REPL, SIZE, SUB CircCksm NUM, POS Closeio ClearClkadj Cllcd Cmplx CLΣClusr Clvar COL →COLCOL→ Symb1 Symb2 COL+Colct Collect Symb COMBsymb ,m COMBn, symb COMBsymb ,symb ColσComb CON IDN CondRarray constant Carray constant Name Conj Access …µCONIC Input/Output NoneConic Rarray Carray Symb CONJsymb ConlibConst Constants X1unitssource X2unitstarget X3unitstarget ContConvert Corr COV Access FlagsCOS Cosh …µCR CrdirCross Cswp COL+, COL-, Rswp CurlCyclotomic Cylin #n, #m →PXDarcy Date →date →DATEDATE+ Dbug « program » or program name DdaysDEC Decr Result See also DedicaceDEF Define Name=exp Namename Name =expname DelalarmDEG Degree CR, OLDPRT, PRLCD, PRST, PRSTC, PRVAR, PR1 DelayRCLALARM, Stoalarm Delkeys Xkey1, ... ,xkey n Access …µDEPND Input/OutputDepnd Depth Desolve DerivDervx Attach Access …µDETACH Input/OutputDET Detach Diagmap DIAG→→DIAG Diffeq Diff Disp Access …µDIFFEQ Input/OutputDIR FREEZE, HALT, INPUT, Prompt DispxyDistrib Obj List CURL, Hess DIVDIV2 DIV2MOD DIV2 DivisDivmod Divpc END TAYLOR0, TAYLR, SeriesDERIV, DERVX, DESOLVE, ∂ Until testclause END Dolist ErrorDoerr SIGNTAB, Tabvar List List n « program » Results Command Name List n+1Domain Dosubs CNRM, CROSS, DET, Rnrm List « program » Command NameDOT DOLIST, ENDSUB, NSUB, Stream DRAW3DMATRIX Access …µDRAWAccess …µDRAX Input/Output None Draw Lagrange DroiteDrop DROP2 DUP2 DropnDtag DUP Dupn Dupdup Egcd EditEditb END EGVEgvl Else Sign mantissa E sign exponent EndsubENG EPSX0 Erase EqnlibEQW EQ→ Euler ERR0Errm Errn →NUM EvalExlr Obj See above Ex,y = excosy + iexsiny EXP&LNEXP Expan EXP2HYPEXP2POW Result X2+X ExpandExpandmod COLCT, EXPAND, ISOL, QUAD, Show Eyept ExpfitExpln Expm …µF0λ F0λFact Factor Modsto FactormodFactors FAST3D Access …µFANNINGFanning FC? Access …µFAST3D Input/Output NoneAccess ! Test LL FC ? C Fcoef Distrib FdistribFFT CF, FC?, FS? FS?C, SF Finish FindalarmAccess …µFINISH Filer Xunit Nunit Symb FLOORsymb FlashevalFloor FONT6 →FONT FONT7FONT8 FONT→ For Xunit Yunit Symb FPsymb FourierFree Freeze CLLCD, DISP, Halt FrootsFS? Display Area Value Code CF, FC?, FC?C, FS?C, SF FS?CFunction Exlr Access …µFUNCTIONFxnd AXQ, QXA GammaGauss Gbasis GCDMOD, EGCD, IEGCD, LCM GCDGcdmod GET GETI, PUT, Puti GetiObjget #n #m Grob1 GORGrad GET, PUT, Puti DEG, RAD GramschmidtGraph Greduce →GROB Access …µGRIDMAP Input/Output NoneAccess …µ→GROB Gridmap →LCD, LCD→ GrobGrobadd Gxor GOR, REPL, SUB HadamardHalftan Halt Help HeadHEADER→ →HEADER CURL, DIV HermiteHess HEX Histogram Hilbert HMS+ Access …µHISTPLOT Input/Output NoneHistplot HMS … &9L HMS → HMS→→HMS … & 9L HMS + Iabcuv HomeHorner ABCUV, Iegcd IbasisIbernoulli IBP Chinrem IchinremIDN Results See also Ax+by=c IDIV2Iegcd DIV2, Iquot ELSE, END, IFERR, then IferrCase Ifft ∑ Y k e Obj It depends IFTIfte Ilap Rarray Carray Symb IMsymb ImageLAP, Lapl …ßIM Global Global xstart xend IncrIndep Inform Init ResetsTitle Format Resets Init → vals Input PROMPT, STR→ Stack prompt Commandline prompt ResultINT INTVX, Risch IntegerIntvx INV Iquot Command INVMOD2 ResultInvmod Symb1 Global Symb2 IremainderIsol Isom NEXTPRIME, Prevprime ISPRIME?Jordan Mkisom BASIS, Image KERKerrm KEY →KEYTIME Access …µKEYEVAL Input/OutputKeyeval Label KEYTIME→Kget Kill →LANGUAGE Access …µ→LANGUAGE Input/OutputLagrange LANGUAGE→ Objn Obj1 LAPLapl Last LCM LastargLCD→ →LCD Ldec Lcxm HERMITE, Tchebycheff LgcdLibeval Libs Title, nlib, nport, ...,title, nlib, nport LimLimit LIN Model 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/Output Intercept x Slope x Access …µLR Input/OutputFull Command and Function Reference 3139 LSQ Lname LvarMAD DET, INV MAP Access …µMAP Input/OutputMain Mant Symb Symb symb Access …µ↓MATCH Input/OutputAccess …µ↑MATCH ↑MATCH Symb Symb , symb MathsMatr MAX Input/Output See also MaxrMaxσ Mcalc BINS, MAXΣ, MINΣ, SDEV, TOT, VAR MeanMEM Menu RCLMENU, Tmenu Menuxy MENU, Tmenu MergeMIN Minehunt Minr MINIFONT→→MINIFONT Minit 00000000000E-499 MinσMitm Mkisom Mod y MODModsto Modular Name Or xunit String MolwtMroot Msgbox Msolvr Mslv EQNLIB, MCALC, MINIT, MITM, MROOT, MSLV, Muser MultmodMuser →NDISP NEG Access …ß NEG ßis the rightshift of the 1keyNdist Ndupn Nextprime NewobNext Noval Access ! Test L not Is the leftshift of the NkeyNIP Not …µNΣ Nsub→NUM NUM OBJ→ NumxNumy … &NL OBJ → OCTOFF Oldprt Openio Access …µOLDPRTAccess …µOPENIO Global1 ... globaln OrderOver Memory Directory Lorder is the leftshift of the Nkey Xmin, ymin, xmax, ymax, indep, res, axes, ptype, depend P2CPA2B2 Parametric Parity Access …µPARITY Input/Output Partfrac Parsurface Home directoryname 1 ... directoryname n PathPcar Pcoef Pcov Access …µPCONTOUR Input/Output NonePcontour Xmax, ymax PdimPerinfo Perm Pick PertblPeval Pgdir Pinit Pict Command Puts the name Pict on the stackPict Picture Pixon Access …µPKTPIX? Pixoff Pmin PlotPlotadd Pmax An nxn matrix a PminiPolar Finds the minimal polynomial of a matrix Form of Current Plotting Action Equation Access …µPOLARPolynomial POP Powexpand Input An expression raised to a powerPOS Potential PR1 Powmod Object PredvPredx …µPR1 Preval Predy Promptsto PrevprimePrlcd Prompt Prompt STO ProotPropfrac Global→ Name Name1 name2 Nport global PrstPrstc Prvar MEAN, PCOV, PVAR, SDEV, TOT, VAR PsdevPSI Psi Symb String or x or xunit or name PtaylPtprop Purge CLEAR, CLVAR, NEWOB, Pgdir PushPUT Global Global1 ... globaln Obj put List Name This command sequencePuti Obj put List MEAN, 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/ d Quotient of the Euclidean division QuotQuote Arithmetic, !ÞPOLYNOMIAL !« Rank QXARAD Rand LQ, LSQ, QR Access …µRATIORanm Ratio Steq RceqRCI Rcij RCL Rclalarm Rclmenu FINDALARM, StoalarmRclf Rclkeys RDM RclvxRclσ Rcws …ßL RE RDZCOMB, PERM, Rand REsymb RecnRect Recv New name Old name RemainderRename Quot END, While ReorderRepeat Repl String String result Plot Type Default IntervalRES String target Slopefield RestoreBackup To restore a Resultant Risch RevlistRewrite Rkferr RKF Is the rightshift 3key Problem for a differential equationRkfstep RNDsymb RLBRND RLB, RR, RRB Romupload RnrmRoll Rolld 3207 RootROT ROW →ROW ROW+ROW→ RL, RLB, RRB Access … ÃL Byte RRB Is the rightshift of the 3keyRPL RRB Rref Rref RRK Rrefmod Rrkstep − 2 t + t 2 RKF, RKFERR, RKFSTEP, RRK, Rsberr RsberrRSD DET, IDN Access … Ã R → BRswp Rules →Dsymb Same→R, IM, RE 180/̟x Scaleh Access …µSCALEH Input/OutputSbrk Scale AUTO, SCALEH, Xrng ScatrplotScatter Sclσ Access …µSCATTER Input/Output NoneSchur SCI Send SconjScroll Sdev DOSUBS, Stream SEQSeries Seval Server X1/cm3 ShowSidens Sigma Sign Access !ÖDERIV LAccess !ÖDERIV LL Sigmavx ABS, MANT, Xpon SigntabSIMP2 SIGNsymb Sin z SimplifySIN Sincos Sinh z SinhSinv Size Symb Grob SLBSlopefield String Integer List Vector NEG, SCONJ, Sinv SnegSnrm Solveqn Solve Sort SolverSolvevx SQsymb SphereSrad Square Analytic Function Returns the square of the argument ASR, SL, SLB, SR SRBSrecv COND, SNRM, Trace SST↓ Access …µSRECVSrepl SST Step StartSTD Stime Access …µSTIMEStep Steq Buflen StoalarmAccess Input/Output STO Óis the rightshift of the 9 key Access …µSTOFStof Stokeys STO+ StoreStovx STO/, + DTAG, EQ→, LIST→, OBJ→, →STR StoσSTR→ →STR List Obj Result StreamStrm Sturm Sturmab SturmabStws SUB CHR, GOR, GXOR, NUM, POS, REPL, Size SubstSubtmod X1, y1 X2, y2 DIAG→, MIN, SVL SVDSVL Swap SYST2MAT SysevalSylvester Symb 1, symb Tabval100 y X, symb →ARRY Tabvar→TAG Tail Tan z TANTAN2CS2 TAN2SC TANHsymb TAN2SC2Tanh Tanh z HERMITE, Legendre TAYLOR0Taylr Tchebycheff TDELTAsymb1, symb2 TcollectTdelta Tests Then TevalTexpand Text Tinc TicksTime →TIME SIMPLIFY, TCOLLECT, Texpand TlinTline TINCsymb1, symb2 Tran TmenuTOT Trace BAUD, CKSM, Parity TransioTrig Effect Trigtan TrigcosTrigo Trigsin CONJ, Tran TRNTrnc TRNCsymb TruncTruth TRNCz Tstr Access …µTRUTH Input/Output NoneTsimp Tvmend TvarsTVM Tvmbeg Object Type Number User objects Builtin CommandsType Ubase Unassume UfactUFL1→MINIF Unassign Unpick Unbind→UNIT Utpc UnrotUntil Updir UTPC, UTPN, Utpt UtpfUtpn UTPF, UTPN, Utpt UVALsymb UtptUval X1, x2, ..., xn Xn-2 Flag -16 clear Rectangular mode Flag -16 set Polar mode € yCoordinate System -16, Complex Mode X1, x2 VAR Vandermonde Version Access …µVERSION Input/OutputVars VER Visitb Variable name Contents opened in the command line EditorVariable name Contents opened in the most suitable Editor Visit Wait Access ! L in Wait Is the leftshift of the NkeyVtype While Repeat WireframeWhile While testclause Repeat loopclause END Wslog Log4 ... log1 Access …µWSLOGAccess …µΣX Input/Output ΣX2 Xmit ΣX2Xcol Xget XOR Access …µXMITXnum MANT, Sign XponXput XPONsymb Xrng Command XQ.3658 Results 1829/5000Command XQ.3658 Results √19/142 Xrecv Input/Output RPN Access …µXSENDXsend Xserv ΣX*Y XvolXxrng ΣXY …µΣY ΣY2ΣY2 Ycol AUTO, PDIM, PMAX, PMIN, Xrng YrngYslice EYEPT, XVOL, XXRNG, YYRNG, Zvol YvolYyrng Zeros Zvol PowerAccess Q Zfactor Symbz Where√ Square Root Zsymb SQ, , Isol Lower limit, upper limit, integrand, name Access …Á Áis the rightshift of the UkeyIntegrate ? Undefined Results -π/2 ∞ InfinitySummation Sigma Plus X 2, …, x m 1, …, x 1 m x n 1, … , x n m Access …µΣ+ Input/OutputAccess …µΣ Input/Output Sigma Minus Symb Name Xunit ∂ DerivativeFactorial 14159265359… Symb,x PercentUnit attachment Xy/100 Type 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, →, STO CLEAR, DROP, DROPN, DROP2 Semicolon CAS directory, Casdir CAS SettingsSelecting CAS Settings Points to note when choosing settings Computer Algebra System Extending the CAS Using the CASExamples and Help Compatibility with Other Calculators Arithmetic 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 Create Eigenvectors, !Ø Eigenvectors Quadratic form, !Ø Quadratic FormLinear Systems, !Ø Linear Systems Linear Applications, !Ø Linear Appl Hyperbolic, …Ñ Hyperbolic Symbolic solve commands, !ÎTrigonometry commands Other Trigonometry commands, …Ñ Trigonometric conversions, !Ú Trig Conv Convert commands, !ÚUnit conversion tools, !Ú Units Tools Base conversion tools, !Ú Base Matrix convert, !Ú Matrix Convert Other CAS operations, …µ CAS utility operations CAS menu commands, …µThese commands display menus or lists of CAS operations Equation Reference Equation Reference FLUIDS, 24 *********************3 Internal bending moment at Columns and BeamsVariable Description Σcr Critical stress Σmax Maximum stress Example Elastic Buckling 1Eccentric Columns 1 Equations Equation 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 Reference Relative permeability ElectricityRelative permittivity Coulomb’s Law 2 Ohm’s Law and Power 2 Voltage Divider 2 Wire Resistance 2Solution V1=80V Solution I1=5.6250A Series and Parallel C 2 Solution R=0.175Series and Parallel R 2 Inductive Energy 2 Solution V=50VSeries and Parallel L 2 Capacitive Energy 2 Capacitor Charge 2 RLC Current Delay 2Solution q=0.0020C Equation Reference DC Capacitor Current 2 RL Transient 2 Solution V=3.2968VDC Inductor Voltage 2 RC Transient 2 Cylindrical Capacitor 2,19 Solution I=0.0072AResonant Frequency 2 Plate Capacitor 2 Toroid Inductance 2 Solenoid Inductance 2 Sinusoidal Current 2 FluidsSinusoidal Voltage 2 Initial and final velocities Pressure at Depth 3Bernoulli Equation 3 Reynolds number Flow with Losses 3 Flow in Full Pipes 3 Forces and Energy Linear Mechanics 4 Hooke’s Law 4 Angular Mechanics 4Centripetal Force 4 MassEnergy Relation 4 1D Elastic Collisions 4Drag Force 4 Law of Gravitation 4 Ideal Gas Law 5 Gases Polytropic Processes 5 Solution Vf=21Ideal Gas State Change 5 Isothermal Expansion 5 Real Gas State Change 5 Real Gas Law 5 Kinetic Theory 5 Heat Transfer Conduction 6 Heat Capacity 6Thermal Expansion 6 Conduction + Convection 6 Convection 6 Ia, Ib MagnetismBlack Body Radiation 6 Fba Force between Wires 7 Straight Wire 7 Magnetic 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 8 Law of Refraction 9 Optics Brewster’s Law 9 Critical Angle 9 Thin Lens 9 Solution n2=1.5000Spherical Reflection 9 Spherical Refraction 9 Oscillations 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 11 Triangle 11 Circular Ring 11 Cone 12 Solid Geometry Parallelepiped 12 Cylinder 12 Sphere 12 Solid State Devices Channel length JFETs Saturation current densityDrawn mask length PN Step Junctions, or Drawn gate length Nmos Transistors, or PN Step Junctions 13 VDS Nmos Transistors 13 JFETs 13 Bipolar Transistors 13 Xdmax = ⋅ 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 14 Longitudinal Waves 15 WavesTransverse Waves 15,1 Sound Waves 15 References Page Development Library Development Library Development Library Command ReferenceObj String Obj1 … objn Symb Obj1, ...,objn Code String BetaTestingString Obj Debug string Error list String Obj Library n String Error list Edited stringLibrary Object String Ey,z.Et LC~C Obj … obj Obj 1, ...,obj n →LST Obj 1 … obj n Obj 1, ...,obj n Pokearm String Global →S2String1 String2 Returns Xlib Crlib Create Library Command Extension program Modes Masd The Machine Language and System RPL CompilerIntroduction Starting Masd Error messages Message Description ErrorsFormat of the error list Labels Links Constants Extable Expressions Macros and includes Operator Priority Directive Description Filename conventionsCompilation directive Docstr !DBGINF directive Bit registers Saturn ASM modeCPU architecture Skips Other notesNew instructions These instructions Are equivalent to Skips instructions Equivalents Tests Syntax Example Saturn instructions syntax Syntax 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 mode Description Form Instruction set Operation Assembler Action Flags REG B Armsat instructionOffset Element REG a REG C REG D REG R0 REG R1 REG R2 REG R3 REG R4 Unnamed local variables System RPL modeInstructions Reals and system binary Token Description DefinesTokens Code LC 001 Gosbvl Outcinrtn ?CBIT=1.6 Turnmenuoff LC 80100 Armsat Level Disassemblers String String 1, ...,string n Entry Point Library ExtableLibrary Nop C0C Error and Status Messages A1Messages Listed Alphabetically Message Meaning # hex A2 Error and Status Messages Error and Status Messages A3 Σdat A4 Error and Status Messages Error and Status Messages A5 A6 Error and Status Messages C0D Error and Status Messages A7C0E C0B A8 Error and Status Messages # hex Message General Messages Error and Status Messages A9 # hex Message A10 Error and Status Messages OutofMemory Prompts Error and Status Messages A11 Equation Writer Application Messages Stack Errors and MessagesA12 Error and Status Messages Object Editing Messages Statistics Messages # hex Message FloatingPoint ErrorsError and Status Messages A13 Array Messages A14 Error and Status Messages Mode and Plot Input Form Prompts # hex Message 70F Error and Status Messages A15 73F A16 Error and Status Messages 75F Error and Status Messages A17 78F A18 Error and Status Messages Error and Status Messages A19 Advanced Statistics Messages A20 Error and Status Messages 80F Error and Status Messages A21 82F A22 Error and Status Messages 85F Error and Status Messages A23 87F A24 Error and Status Messages HP Solve Application Messages Error and Status Messages A25Statistics Help Messages Programmer’s Doerr # hex Message Unit ManagementPrinting Time Messages Error and Status Messages A27 System Flags Choose Box Prompts A28 Error and Status Messages Error and Status Messages A29 A30 Error and Status Messages Error and Status Messages A31 Prompts A32 Error and Status Messages Error and Status Messages A33 A34 Error and Status Messages Statistics Prompts Error and Status Messages A35 A36 Error and Status Messages Time and Alarm Prompts Error and Status Messages A37 A38 Error and Status Messages Symbolic Application Prompts Plot Application Prompts Error and Status Messages A39 A40 Error and Status Messages Error and Status Messages A41 Solve Application Prompts A42 Error and Status Messages Error and Status Messages A43 A44 Error and Status Messages CAS Messages Error and Status Messages A45 A46 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 DF0F Constants Library Messages Error and Status Messages A49 MultipleEquation Solver Messages A50 Error and Status MessagesEquation Library Messages Minehunt Game Prompts Development Library and Miscellaneous Messages Error and Status Messages A51Periodic Table Messages Financial Solver Messages A52 Error and Status Messages Tables of Units and Constants B1 Units B2 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 B5 B6 Tables of Units and Constants Properties of Elements System Flags C1 System FlagsFlag Description Not used C2 System Flags System Flags C3 C4 System Flags System Flags C5 C6 System Flags System Flags C7 C8 System Flags Internal use only /0 occurred System Flags C9 User FlagsPage Reserved Variables D1 Contents of the System Reserved Variables Reserved Variables D3 ΒENTER D4 Reserved Variables Exited Reserved Variables D5 Nmines MHparMpar N1, n2 Reserved Variables D7 BAR, etc D8 Reserved Variables Prtpar Reserved Variables D9 S1, s2 D10 Reserved Variables Parameter Description Default Value CommandTo use for input into the table NUMX, Numy Reserved Variables D11 Var1 var2 … varmStatistical Matrix for Variables 1 to m D12 Reserved Variables EXPFIT, PWRFIT, or Logfit Casdir Reserved Variables D14 Reserved Variables Modulo Technical Reference E1 Object SizeObject Type Size bytes E2 Technical Reference Symbolic IntegrationPattern Antiderivative Technical Reference E3 E4 Technical Reference →DEF Expansions Technical Reference E5 Order Operation E6 Technical Reference International Standard publication No. ISO 31/l197 8 E Parallel Processing with Lists F1 Group 1 Commands that cannot parallel processGroup 2 Commands that must use Dolist to parallel process General rules for parallel processing F2 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 commands F4 Parallel Processing with Lists Using Dolist for Parallel Processing $ & + $ & C$ & D $ & F ~@ & O Keycode Keystroke Definition¥ ! &I @ & ³ @ & O Keyboard Shortcuts G3 ~@ & Í @ &†@%VARNAME% = varname G4 Keyboard Shortcuts MenuNumber Table H1 Menu NumbersSyntax Example H2 The MenuNumber Table Menus 0 through MenuNumber Table H3 H4 The MenuNumber Table Menus 118 through MenuNumber 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 First CAT Algb MTH ListArith Modul «MODULAR» Addtoreal I4 The Command MenuPath Table CHR LS&MODE FlagPRG Test NXT NXT PRG NXT Modes Flag Chinrem PRG NXT I6 The Command MenuPath Table PRG NXT NXT Time NXT CAT DelalarmPRG NXT NXT Time Alrm Delay RS&TIME NXT I8 The Command MenuPath Table Else PRG NXT NXT Error Iferr«POLYNOMIAL» EGV MTH Matrx NXT I10 The Command MenuPath Table I11 I12 The Command MenuPath Table «DIFF» NXT NXT Calc Deriv NXT«INTEGER» PRG Brch NXT I14 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 Vtype MTH NXT Const «CONSTANTS» I30 The Command MenuPath TableSLV NXT Alphalse →ALG ΣlineΣlist PRG Test «TESTS» NXT I32 The Command MenuPath Table Ascii Character Codes and Translations J1 Code DescriptionCharacter Codes J2 Ascii Character Codes and Translations Code Trans. Description Index 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

Exp and Lin commands, !Ð

EXPLN

EXPM

TEXPAND

TSIMP

Matrixrelated commands

Create, !Ø CREATE

IDN

CON

→DIAG

DIAG→

GET

GETI

3183

VANDERMONDE

Operations, !Ø OPERATIONS

COND

DET

RNRM

RSD

3226

Computer Algebra System 47