Texas Instruments TINSPIRE Reference Guide

Texas Instruments TINSPIRE Manual

Texas Instruments TINSPIRE manual content summary:

  • Texas Instruments TINSPIRE | Reference Guide - Page 1
    Reference Guide This guidebook applies to TI-Nspire™ software version 3.0. To obtain the latest version of the documentation, go to education.ti.com/guides.
  • Texas Instruments TINSPIRE | Reference Guide - Page 2
    for the program. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. License Please see the complete license installed in C:\Program Files\TI Education\TI-Nspire. © 2006 - 2011 Texas Instruments Incorporated ii
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    Contents Expression templates Fraction template 1 Exponent template 1 Square root template 1 Nth root template 1 e exponent template 2 Log template 2 Piecewise template (2-piece 2 Piecewise template (N-piece 2 System of 2 equations template 3 System of N equations template 3 Absolute value
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    eigVc 32 eigVl 32 Else 32 ElseIf 33 EndFor 33 EndFunc 33 EndIf 33 EndLoop 33 EndPrgm 33 EndTry 33 EndWhile 33 euler 34 Exit 34 exp 35 expr 35 ExpReg 35 F factor 36 FCdf 36 Fill 36 FiveNumSummary 37 floor 37 For 38 format 38 fPart 38 FPdf 38 freqTable4list 39 frequency 39
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    80 randInt 80 randMat 80 randNorm 80 randPoly 81 randSamp 81 RandSeed 81 real 81 4Rect 81 ref 82 remain 83 Request 83 RequestStr 84 Return 84 right 84 rk23 85 root 85 rotate 85 round 86 rowAdd 86 rowDim 87 rowNorm 87 rowSwap 87 rref 87 S sec 88 sec 88 sech 88
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    0b, 0h 130 Empty (void) elements Calculations involving void elements 131 List arguments containing void elements 131 Shortcuts for entering math expressions EOS™ (Equation Operating System) hierarchy Error codes and messages Warning codes and messages Texas Instruments Support and Service vi
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    TI-Nspire™ Reference Guide This guide lists the templates, functions, commands, and operators available for evaluating math expressions. Expression templates square root), page 123. Example: /q keys Nth root template Note: See also root(), page 85. Example: /l keys TI-Nspire™ Reference Guide 1
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    exponential e raised to a power Note: See also e^(), page 31. Log template Example: Example: Calculates log to a specified base. For a default of base 10, omit the base. Note: See also the example for Piecewise template (2-piece). Note: See also piecewise(), page 73. 2 TI-Nspire™ Reference Guide
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    of decimal degrees, mm is the number of minutes, and ss.ss is the number of seconds. Matrix template (2 x 2) Example: Creates a 2 x 2 matrix. Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 3
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    , it may take a few moments to appear. Sum template (G) Example: Note: See also G() (sumSeq), page 124. Product template (Π) Example: Note: See also Π() (prodSeq), page 124. 4 TI-Nspire™ Reference Guide Catalog > Catalog >
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    Note: See also d() (derivative), page 123. Definite integral template Example: The definite integral template can be used to calculate the definite integral numerically, using the same method as nInt(). 183Note: See also nInt(), page 68. Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 5
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    starting on page 116. Unless otherwise specified, all examples in this section were performed in the default reset mode, and all variables are assumed to be undefined. A abs() abs(Value1) ⇒ value abs( or a simplified form of the original entry. Catalog > Catalog > 6 TI-Nspire™ Reference Guide
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    rejected Degrees of freedom of the groups Sum of squares of the groups Mean squares for the groups Degrees of freedom of the errors Catalog > TI-Nspire™ Reference Guide 7
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    confidence intervals for the mean of each input list ANOVA2way ANOVA2way List1,List2[,List3,...,List10][,levRow] Computes a two-way analysis of variance for comparing the means of two to 10 populations. A .Fcol Description F statistic of the column factor 8 TI-Nspire™ Reference Guide Catalog >
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    the errors Mean squares for the errors Standard deviation of the error Ans Ans ⇒ value Returns the result of the most recently evaluated expression. /v keys TI-Nspire™ Reference Guide 9
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    used. Note: You can insert this function from the computer keyboard by typing @>approxFraction(...). approxRational() approxRational(Value[, Tol a tolerance of 5.E-14 is used. arccos() arccosh() arccot() 10 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog > See cos/(), page 20. See cosh/(),
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    . See sec/(), page 88. See sech/(), page 88. See sin/(), page 93. See sinh/(), page 94. See tan/(), page 101. See tanh/(), page 102. Catalog > TI-Nspire™ Reference Guide 11
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    107. NPmt specifies the payment number after which you want the data calculated. N, I, PV, Pmt, FV, PpY, CpY, and PmtAt computer keyboard by typing @>Base2. Converts Integer1 to a binary number. Binary or hexadecimal numbers always have a 0b or 0h prefix, respectively. 12 TI-Nspire™ Reference Guide
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    in Binary base mode 4Base10 Integer1 4Base10 ⇒ integer Note: You can insert this operator from the computer keyboard by typing @>Base10. Converts Integer1 to a decimal (base 10) number. A binary or displayed in decimal, regardless of the Base mode. Catalog > Catalog > TI-Nspire™ Reference Guide 13
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    upBound) ⇒ number if upBound is a number, list if upBound is a list Computes a cumulative probability for the discrete binomial distribution with n number of trials and probability a list or matrix of the ceiling of each element. 14 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog > Catalog >
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    the character numbered Integer from the handheld character set. The valid range for Integer is 0- 65535. c22way c22way obsMatrix chi22way obsMatrix Computes a c2 test for association on elemental chi square statistic contributions Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 15
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    if lowBound and upBound are lists Computes the c2 distribution probability between lowBound if XVal is a number, list if XVal is a list Computes the probability density function (pdf) for the c2 distribution at Clears all single-character variables in the current problem space. If one or more of the
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    entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press are not allowed. See also rowNorm(). Catalog > Catalog > TI-Nspire™ Reference Guide 17
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    must be defined. Var1 must meet the variable-naming requirements or must be an indirection expression that simplifies to a variable name meeting the requirements. 18 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog > Catalog >
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    locked, all members of Var2. are left unchanged. Catalog > corrMat() corrMat(List1,List2[,...[,List20]]) Computes the correlation matrix for the augmented matrix [List1, List2, ..., List20]. cos( ) cos( Gradian angle mode: In Radian angle mode: Catalog > μ key TI-Nspire™ Reference Guide 19
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    computations calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. In Radian angle mode and Rectangular Complex Format: £ ¡ ¢ To see the entire result, press and then use and to move the cursor. 20 TI-Nspire™ Reference Guide
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    of squareMatrix1. This is not the same as calculating the hyperbolic cosine of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be the angle mode temporarily. In Gradian angle mode: In Radian angle mode: μ key TI-Nspire™ Reference Guide 21
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    For a list, matrix, or range of cells, each element is evaluated to determine if it should be included in the count. Within the Lists & Spreadsheet application, you can use a range of cells in place of any argument. Empty (void) elements are ignored. For more information on empty elements, see page
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    For example, ? Catalog > TI-Nspire™ Reference Guide 23
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    the inverse hyperbolic cosecants of each element of List1. Note: You can insert this function from the keyboard by typing arccsch(...). μ key Catalog > Catalog > 24 TI-Nspire™ Reference Guide
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    X, Y[, [Freq] [, Category, Include]] Computes the cubic polynomial regression y = a·x3+b· data items whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, see "Empty . Catalog > TI-Nspire™ Reference Guide 25
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    for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and DDMM.YY (format use commonly in Europe) Catalog > Catalog > 26 TI-Nspire™ Reference Guide
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    List1 4Decimal ⇒ value Matrix1 4Decimal ⇒ value Note: You can insert this operator from the computer keyboard by typing @>Decimal. Displays the argument in decimal form. This operator can be used : expression & Function(Param1,Param2). Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 27
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    instructions (such as If, Then, Else, and For). Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer 28. 28 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog >
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    use or set the Auto or Approximate mode to Approximate, computations are done using floating- point arithmetic. • If Tolerance is omitted or not used, the default tolerance is calculated as: 5EM14 ·max(dim(squareMatrix))· rowNorm(squareMatrix) Catalog > Catalog > TI-Nspire™ Reference Guide 29
  • Texas Instruments TINSPIRE | Reference Guide - Page 36
    . Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. Catalog > Catalog > Catalog > 30 TI-Nspire™ Reference Guide
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    from the computer keyboard by typing calculating e raised to the power of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. Catalog > Catalog > u key TI-Nspire™ Reference Guide
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    squareMatrix is then reduced to upper Hessenberg form and the eigenvectors are computed via a Schur factorization. £ ¡ ¢ To see the entire result The squareMatrix is then reduced to upper Hessenberg form and the eigenvalues are computed from the upper Hessenberg matrix. Catalog > Else £ ¡ ¢ To
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    BooleanExprN Then BlockN EndIf © Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. EndFor EndFunc EndIf EndLoop EndPrgm
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    (For, While, or Loop). Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. Catalog > 34 TI-Nspire™ Reference Guide
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    ExpReg ExpReg X, Y [, [Freq] [, Category, Include]] Computes the exponential regression y = a·(b)x on lists X and Y items whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, see TI-Nspire™ Reference Guide 35
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    calculation manually, • Windows®: Hold down the F12 key and press Enter repeatedly. • Macintosh®: Hold down the F5 key and press Enter repeatedly. c · • Handheld list if lowBound and upBound are lists Computes the F distribution probability between lowBound and > 36 TI-Nspire™ Reference Guide
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    category codes. Only those data items whose category code is included in this list are included in the calculation. An empty (void) element in any of the lists X, Freq, or Category results in a element. Note: See also ceiling() and int(). Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 37
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    Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer list Computes the F distribution probability at XVal for the specified dfNumer (degrees of freedom) and dfDenom. 38 TI-Nspire™ Reference Guide Catalog
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    building a frequency table for the Data & Statistics application. List1 can be any valid list. freqIntegerList must element. Note: You can insert this function from the computer keyboard by typing freqTable@>list(...). Empty (void) elements are page 131. Catalog > TI-Nspire™ Reference Guide 39
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    the Return instruction to return a specific result. Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. Result of graphing
  • Texas Instruments TINSPIRE | Reference Guide - Page 47
    (p,XVal) ⇒ number if XVal is a number, list if XVal is a list Computes a probability at XVal, the number of the trial on which the first success occurs "nl_BE" Norwegian = "no" Portuguese = "pt" Spanish = "es" Swedish = "sv" Catalog > Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 41
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    =Fix9, 24=Fix10, 25=Fix11, 26=Fix12 1=Radian, 2=Degree, 3=Gradian 1=Normal, 2=Scientific, 3=Engineering 1=Real, 2=Rectangular, 3=Polar 1=Auto, 2=Approximate 1=Rectangular, 2=Cylindrical, 3=Spherical 1=Decimal, 2=Hex, 3=Binary 42 TI-Nspire™ Reference Guide
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    locked/unlocked state) for all variables and library objects defined in the current problem. If no variables are defined, getVarInfo() returns the string "NONE". getVarInfo( library LibNameString does not exist, an error occurs. Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 43
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    must be defined in the same function using a Lbl instruction. Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. Catalog
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    the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt Block2. Block1 and Block2 can be a single statement. Catalog > Catalog > TI-Nspire™ Reference Guide 45
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    argument. imag(List1) ⇒ list Returns a list of the imaginary parts of the elements. One element selected from Value_If_true. One element selected from Value_If_unknown. Catalog > 46 TI-Nspire™ Reference Guide
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    (Number1 ÷ Number2). For lists and matrices, returns the signed integer part of (argument 1 ÷ argument 2) for each element pair. Catalog > See #(), page 126. Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 47
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    for a given Area under the normal distribution curve specified by m and s. invt() invt(Area,df) Computes the inverse cumulative student-t probability function specified by degree of freedom, df for a given Area under the curve. 48 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog > Catalog >
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    entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and For more information on void elements, see page 131. Catalog > TI-Nspire™ Reference Guide 49
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    instruction immediately following the label. labelName must meet the same naming requirements as a variable name. Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer
  • Texas Instruments TINSPIRE | Reference Guide - Page 57
    see DelVar on page 29. LinRegBx LinRegBx X,Y[,[Freq][,Category,Include]] Computes the linear regression y = a+b·x on lists X and Y whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, TI-Nspire™ Reference Guide 51
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    whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, see Computes a level C confidence interval for the slope. LinRegtIntervals X,Y[,F[,1,Xval[,CLev]]] For Response. Computes 52 TI-Nspire™ Reference Guide Catalog >
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    Confidence interval margin of error Standard error of mean response Prediction interval for a single observation Prediction interval margin of error Standard error for prediction a + b·XVal TI-Nspire™ Reference Guide 53
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    LinRegtTest LinRegtTest X,Y[,Freq[,Hypoth]] Computes a linear regression on the X and Y lists and a t test on the value of slope b and the correlation Standard error of slope Coefficient of determination Correlation coefficient Residuals from the regression Catalog > 54 TI-Nspire™ Reference Guide
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    List does not fill the resulting matrix, zeros are added. Note: You can insert this function from the computer keyboard by typing list@>mat(...). ln( ) ln(Value1) ⇒ value ln(List1) ⇒ list Returns the Catalog > Catalog > /u keys If complex format mode is Rectangular: TI-Nspire™ Reference Guide 55
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    move the cursor. LnReg LnReg X, Y[, [Freq] [, Category, Include]] Computes the logarithmic regression y = a+b·ln(x) on lists X and Y with category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 63
    entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and , page 109, and getLockInfo(), page 42. Catalog > Catalog > TI-Nspire™ Reference Guide 57
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    move the cursor. Logistic Logistic X, Y[, [Freq] [, Category, Include]] Computes the logistic regression y = (c/(1+a·e-bx)) on lists X and Y with calculation. For information on the effect of empty elements in a list, see "Empty (void) elements" on page 131. Catalog > 58 TI-Nspire™ Reference Guide
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    , [Iterations] , [Freq] [, Category, Include] ] Computes the logistic regression y = (c/(1+a·e-bx)+d) on lists X and Y items whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, see " TI-Nspire™ Reference Guide 59
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    or Exit instruction is executed within Block. Block is a sequence of statements separated with the ":" character. Note for entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer
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    ]) ⇒ expression Returns the median of the elements in List. Each freqList element counts the number of consecutive occurrences of the corresponding element in List. Catalog > TI-Nspire™ Reference Guide 61
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    page 131. MedMed MedMed X,Y [, Freq] [, Category, Include]] Computes the median-median line y = (m·x+b) on lists X and Y whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, TI-Nspire™ Reference Guide Catalog >
  • Texas Instruments TINSPIRE | Reference Guide - Page 69
    of CFList. The default is 1; if you enter values, they must be positive integers < 10,000. Note: See also irr(), page 49. Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 63
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    replaced with: Value · row Index1 + row Index2 MultReg MultReg Y, X1[,X2[,X3,...[,X10]]] Calculates multiple linear regression of list Y on lists X1, X2, ..., X10. A summary of results x1+ ... Residuals from the regression 64 TI-Nspire™ Reference Guide Catalog > Catalog > Catalog > Catalog >
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    regression MultRegTests MultRegTests Y, X1[,X2[,X3,...[,X10]]] Multiple linear regression test computes a multiple linear regression on the given data and provides the global F with global F statistic Coefficient of multiple determination Catalog > Catalog > TI-Nspire™ Reference Guide 65
  • Texas Instruments TINSPIRE | Reference Guide - Page 72
    ) ⇒ matrix Returns a matrix of combinations based on the corresponding element pairs in the two matrices. The arguments must be the same size matrix. Catalog > 66 TI-Nspire™ Reference Guide
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    , computing the numeric value of the first derivative (and second, if applicable) and x=0, and this value is used to calculate the derivative of the total expression, encounter this limitation, verify the solution graphically. You can also try using centralDiff(). TI-Nspire™ Reference Guide 67
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    be a real number > 0. Note: See also eff(), page 32. norm( ) norm(Matrix) ⇒ expression norm(Vector) ⇒ expression Returns the Frobenius norm. Catalog > Catalog > Catalog > Catalog > 68 TI-Nspire™ Reference Guide
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    . normPdf() normPdf(XVal[,m[,s]]) ⇒ number if XVal is a number, list if XVal is a list Computes the probability density function for the normal distribution at a specified XVal value for the specified m and lists. The arguments must be the same size list. Catalog > TI-Nspire™ Reference Guide 69
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    the same size matrix. Catalog > npv( ) npv(InterestRate,CFO,CFList[,CFFreq]) Financial function that calculates net present value; the sum of the present values for the cash inflows and outflows. A positive of sample points, it returns the string "no solution found." 70 TI-Nspire™ Reference Guide
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    category codes. Only those data items whose category code is included in this list are included in the calculation. An empty (void) element in any of the lists X, Freq, or Category results in a void x values Sum of squares of deviations from the mean of x Catalog > TI-Nspire™ Reference Guide 71
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    example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold You can insert this function from the computer keyboard by typing P@>Rx(...). Catalog > 72 TI-Nspire™ Reference Guide
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    Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer a list Computes a probability for the discrete Poisson distribution with the specified mean l. Catalog > Catalog > TI-Nspire™ Reference Guide 73
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    or a column. Note: 4Polar is a display-format instruction, not a conversion function. You can use it only at the end of an entry line, and it does not update ans. Note: See also 4Rect, page 81. Note: See also cPolyRoots(), page 23. Catalog > Catalog > Catalog > 74 TI-Nspire™ Reference Guide
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    PowerReg X,Y [, Freq] [, Category, Include]] Computes the power regression y = (a·(x)b) on lists those data items whose category code is included in this list are included in the calculation. For information on the effect of empty elements in a list, see "Empty ( TI-Nspire™ Reference Guide 75
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    entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and see page 131. See Π( ), page 124. See Π( ), page 124. Catalog > 76 TI-Nspire™ Reference Guide
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    is calculated as: 5EL14 ·max(dim(Matrix)) ·rowNorm(Matrix) The QR factorization is computed numerically using Householder transformations. The symbolic solution is computed using GramSchmidt. The columns in qMatName are the orthonormal basis vectors that span the space defined by matrix. TI-Nspire
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    and stat.YReg QuartReg QuartReg X,Y [, Freq] [, Category, Include]] Computes the quartic polynomial regression y = a·x4+b·x3+c· x2+d·x+e on lists calculation. For information on the effect of empty elements in a list, see "Empty (void) elements" on page 131. 78 TI-Nspire™ Reference Guide Catalog >
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    current angle mode setting. Note: You can insert this function from the computer keyboard by typing R@>Ptheta(...). In Degree angle mode: In Gradian angle mode can insert this function from the computer keyboard by typing R@>Pr(...). In Radian angle mode: Catalog > TI-Nspire™ Reference Guide 79
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    Converts the argument to radian angle measure. Note: You can insert this operator from the computer keyboard by typing @>Rad. In Degree angle mode: In Gradian angle mode: Catalog > rand #Trials decimal numbers from the specified normal distribution. Catalog > 80 TI-Nspire™ Reference Guide
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    insert this operator from the computer keyboard by typing @>Rect. instruction, not a conversion function. You can use it only at the end of an entry line, and it does not update ans. Note: See also 4Polar, page 74. Catalog > Catalog > Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide
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    the Auto or Approximate mode to Approximate, computations are done using floating- point arithmetic. • If Tol is omitted or not used, the default tolerance is calculated as: 5EL14 ·max(dim(Matrix1)) ·rowNorm in the following example. Note: See also rref(), page 87. 82 TI-Nspire™ Reference Guide
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    to 1, the prompt message and user's response are displayed in the Calculator history. • If DispFlag evaluates to 0, the prompt and response are not press Enter repeatedly. c · • Handheld: Hold down the key and press repeatedly. Note: See also RequestStr, page 84. TI-Nspire™ Reference Guide 83
  • Texas Instruments TINSPIRE | Reference Guide - Page 90
    entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and Returns the right side of an equation or inequality. Catalog > 84 TI-Nspire™ Reference Guide
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    it within the range. For more information, see 4Base2, page 12. £ ¡ ¢ To see the entire result, press and then use and to move the cursor. TI-Nspire™ Reference Guide 85
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    . Catalog > rowAdd( ) rowAdd(Matrix1, rIndex1, rIndex2) ⇒ matrix Returns a copy of Matrix1 with row rIndex2 replaced by the sum of rows rIndex1 and rIndex2. Catalog > 86 TI-Nspire™ Reference Guide
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    mode to Approximate, computations are done using floatingpoint arithmetic. • If Tol is omitted or not used, the default tolerance is calculated as: 5EL14 ·max(dim(Matrix1)) ·rowNorm(Matrix1) Note: See also ref(), page 82. Catalog > Catalog > Catalog > Catalog > TI-Nspire™ Reference Guide 87
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    each element of List1. Note: You can insert this function from the keyboard by typing arcsech(...). Catalog > In Radian angle and Rectangular complex mode: 88 TI-Nspire™ Reference Guide
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    VarStep = 1. System of two sequences: Note: The Void (_) in the initial term matrix above is used to indicate that the initial term for u1(n) is calculated using the explicit sequence formula u1(n)=1/n. TI-Nspire™ Reference Guide 89
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    the example: In the Calculator application on the handheld, you can enter multi-line definitions @ · by pressing instead of at the end of each line. On the computer keyboard, hold down Alt and 23=Fix9, 24=Fix10, 25=Fix11, 26=Fix12 1=Radian, 2=Degree, 3=Gradian 90 TI-Nspire™ Reference Guide
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    right. The default is L1 (shift right one character). Characters introduced at the beginning or end of string by the shift are set to a space. TI-Nspire™ Reference Guide 91
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    = 1 cx + dy = 2 • If you set the Auto or Approximate mode to Approximate, computations are done using floating-point arithmetic. • If Tol is omitted or not used, the default tolerance is calculated as: first system, x=L3 and y=2. For the second system, x=L7 and y=9/2. 92 TI-Nspire™ Reference Guide
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    the inverse sine of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. £ ¡ ¢ To see the entire result, press and then use and to move the cursor. TI-Nspire™ Reference Guide 93
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    squareMatrix1. This is not the same as calculating the inverse hyperbolic sine of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. Catalog > Catalog > 94 TI-Nspire™ Reference Guide
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    Iterations] ,[ Period] [, Category, Include] ] Computes the sinusoidal regression on lists X and Y. A items whose category code is included in this list are included in the calculation. The output of SinReg is always in radians, regardless of the angle mode Catalog > TI-Nspire™ Reference Guide 95
  • Texas Instruments TINSPIRE | Reference Guide - Page 102
    Vector 4Sphere Note: You can insert this operator from the computer keyboard by typing @>Sphere. Displays the row or column a row or a column vector. Note: 4Sphere is a display-format instruction, not a conversion function. You can use it only at the end of θ Catalog > 96 TI-Nspire™ Reference Guide
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    time the Lists & Spreadsheet application calculates statistical results, it copies the "stat." group variables to a "stat#." group, where # is a number that is incremented automatically. This lets you maintain previous results while performing multiple calculations. TI-Nspire™ Reference Guide 97
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    stat.values stat.values Displays a matrix of the values calculated for the most recently evaluated statistics function or command. Unlike stat.results, stat.values omits (void) elements are ignored. For more information on empty elements, see page 131. Catalog > 98 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 105
    the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and & (store), page 129. Catalog > Catalog > See G(), page 124. Catalog > TI-Nspire™ Reference Guide 99
  • Texas Instruments TINSPIRE | Reference Guide - Page 106
    from sumList is added to the sum instead. Within the Lists & Spreadsheet application, you can use a range of cells in place of List and sumList . Note: You can insert this operator from the computer keyboard by typing @t. 100 TI-Nspire™ Reference Guide Catalog > Catalog > See G(), page 124. Catalog
  • Texas Instruments TINSPIRE | Reference Guide - Page 107
    tangent of squareMatrix1. This is not the same as calculating the tangent of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. from the keyboard by typing arctan(...). In Radian angle mode: μ key TI-Nspire™ Reference Guide 101
  • Texas Instruments TINSPIRE | Reference Guide - Page 108
    hyperbolic tangent of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result always contains floating-point numbers. £ ¡ ¢ To see the entire result, press and then use and to move the cursor. 102 TI-Nspire™ Reference Guide
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    lowBound and upBound are lists Computes the Student-t distribution probability between lowBound 1, the text message is added to the Calculator history. • If DispFlag evaluates to 0, to Request, page 83, or RequestStr, page 84. Note: You can use this command within a TI-Nspire™ Reference Guide 103
  • Texas Instruments TINSPIRE | Reference Guide - Page 110
    density function (pdf) for the Student-t distribution at a specified x value with specified degrees of freedom df. trace() trace(squareMatrix) ⇒ value Returns the trace (sum of all the elements on the main diagonal) of squareMatrix. Catalog > Catalog > Catalog > 104 TI-Nspire™ Reference Guide
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    the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt elements in a list, see "Empty (void) elements" on page 131. Catalog > TI-Nspire™ Reference Guide 105
  • Texas Instruments TINSPIRE | Reference Guide - Page 112
    Calculated when Pooled=1. tvmFV() tvmFV(N,I,PV,Pmt,[PpY],[CpY],[PmtAt]) ⇒ value Financial function that calculates the future value of money. Note: Arguments used in the TVM functions are described in the table of TVM arguments, page 107. See also amortTbl(), page 6. 106 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 113
    time-value-of-money argument names are similar to the TVM variable names (such as tvm.pv and tvm.pmt) that are used by the Calculator application's finance solver. Financial functions, however, do not store their argument values or results to the TVM variables. TI-Nspire™ Reference Guide 107
  • Texas Instruments TINSPIRE | Reference Guide - Page 114
    category codes. Only those data items whose category code is included in this list are included in the calculation. An empty (void) element in any of the lists X, Freq, or Category results in a x Maximum of x values Minimum of y values 1st Quartile of y 108 TI-Nspire™ Reference Guide Catalog >
  • Texas Instruments TINSPIRE | Reference Guide - Page 115
    ), that element is ignored, and the corresponding element in the other list is also ignored. For more information on empty elements, see page 131. Catalog > TI-Nspire™ Reference Guide 109
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    this function assigns StatusVar an empty list. Expr1 can be any valid TI-Nspire™ or TI-Nspire™ CAS math expression. You cannot use a command or assignment as Expr1. StatusVar graphs only on an interval. when() is helpful for defining recursive functions. Catalog > 110 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 117
    entering the example: In the Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and information, see 4Base2, page 12. Note: See or, page 72. TI-Nspire™ Reference Guide 111
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    deviation for data sequence List zInterval_1Prop zInterval_1Prop x,n [,CLevel] Computes a one-proportion z confidence interval. A summary of calculated proportion of successes stat.ME Margin of error stat.n Number of samples in data sequence Catalog > Catalog > 112 TI-Nspire™ Reference Guide
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    of distribution stat.Ç Diff The calculated difference between proportions stat.ME Margin input) zInterval_2Samp s1,s2,v1,n1,v2,n2[,CLevel] (Summary stats input) Computes a two-sample z confidence interval. A summary of results is stored in 2 Catalog > Catalog > TI-Nspire™ Reference Guide 113
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    variable stat.p0 stat.z stat.PVal stat.Ç stat.n Description Hypothesized population proportion Standard normal value computed for the proportion Smallest level of significance at which the null hypothesis can be rejected Estimated sample proportion Size of the sample 114 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 121
    normal value computed for the difference of means Smallest level of significance at which the null hypothesis can be rejected Sample means of the data sequences in List1 and List2 Sample standard deviations of the data sequences in List1 and List2 Size of the samples TI-Nspire™ Reference Guide 115
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    N List1 ⇒ list List1 N Value ⇒ list Subtracts each List1 element from Value or subtracts Value from each List1 element, and returns a list of the results. 116 TI-Nspire™ Reference Guide + key - key
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    equal. Value à List1 ⇒ list List1 à Value ⇒ list Returns a list containing the quotients of Value divided by List1 or List1 divided by Value. - key r key p key TI-Nspire™ Reference Guide 117
  • Texas Instruments TINSPIRE | Reference Guide - Page 124
    be a square matrix. If integer = L1, computes the inverse matrix. If integer < L1, computes the inverse matrix to an appropriate positive power. x2 is not the same as calculating the square of each element. Use .^2 to calculate the square of each element. 118 TI-Nspire™ Reference Guide p key l key q
  • Texas Instruments TINSPIRE | Reference Guide - Page 125
    for the corresponding element in Matrix1. Value .^ Matrix1 returns a matrix where each element in Matrix1 is the exponent for Value. ^+ keys ^- keys ^r keys ^p keys ^l keys TI-Nspire™ Reference Guide 119
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    ®: "+Enter) to evaluate: /· For a list or matrix, returns a list or matrix with each element divided by 100. Press Ctrl+Enter (Macintosh®: "+Enter) to evaluate: 120 TI-Nspire™ Reference Guide
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    Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. Result of graphing by element. See "=" (equal) example. /= keys /= keys TI-Nspire™ Reference Guide 121
  • Texas Instruments TINSPIRE | Reference Guide - Page 128
    matrix of factorials of the elements. & (append) String1 & String2 ⇒ string Returns a text string that is String2 appended to String1. /= keys /= keys /= keys º key /k keys 122 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 129
    computing the numeric value of the first derivative (and second, if applicable encounter this limitation, verify the solution graphically. You can also try using centralDiff(). Lower to Upper. Can be used to calculate the definite integral numerically, using the same TI-Nspire™ Reference Guide 123
  • Texas Instruments TINSPIRE | Reference Guide - Page 130
    ) if High < LowN1 The summation formulas used are derived from the following reference: Ronald L. Graham, Donald E. Knuth, and Oren Patashnik. Concrete Mathematics: A Foundation for Computer Science. Reading, Massachusetts: Addison-Wesley, 1994. Catalog > Catalog > 124 TI-Nspire™ Reference Guide
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    (NPmt1,NPmt2,amortTable) calculates the sum of the principal paid based on amortization table amortTable. The amortTable argument must be a matrix in the form described under amortTbl(), page 6. Note: See also GInt(), above, and Bal(), page 12. Catalog > Catalog > TI-Nspire™ Reference Guide 125
  • Texas Instruments TINSPIRE | Reference Guide - Page 132
    a decimal value result, use 10^integer. Note: You can insert this operator from the computer keyboard by typing @E. for example, type 2.3@E4 to enter 2.3E4. i key g ( symbol from the computer keyboard by typing @r. In Degree, Gradian or Radian angle mode: ¹ key 126 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 133
    In Gradian angle mode, multiplies the argument by 10/9. Note: You can insert this symbol from the computer keyboard by typing @d. In Degree, Gradian or Radian angle mode: In Radian angle mode: ¹ key ¡, as an empty element) See "Empty (void) elements" , page 131. TI-Nspire™ Reference Guide 127
  • Texas Instruments TINSPIRE | Reference Guide - Page 134
    is not the same as calculating 10 raised to the power of each element. For information about the calculation method, refer to cos(). computable. Exclusions use the "not equals" (/= or ƒ) relational operator to exclude a specific value from consideration. 128 TI-Nspire™ Reference Guide Catalog
  • Texas Instruments TINSPIRE | Reference Guide - Page 135
    and is not locked or protected, replaces its contents with Calculator application @ on the handheld, you can enter multi-line definitions by pressing · instead of at the end of each line. On the computer keyboard, hold down Alt and press Enter. /h key /t keys /k keys TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 136
    as decimal (base 10). In Bin base mode: Results are displayed according to the Base mode. In Hex base mode: 0B keys, 0H keys 130 TI-Nspire™ Reference Guide
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    , product, stDevPop, stDevSamp, sum, sumIf, varPop, and varSamp, as well as regression calculations, OneVar, TwoVar, and FiveNumSummary statistics, confidence intervals, and stat tests SortA and SortD move all void elements within the first argument to the bottom. TI-Nspire™ Reference Guide 131
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    in regressions introduces a void for the corresponding element of the residual. A frequency of 0 in regressions introduces a void for the corresponding element of the residual. 132 TI-Nspire™ Reference Guide
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    arcsin(...), arccos(...), ... deltaList(...) From the computer keyboard To enter this: i (imaginary constant) e (natural log base e) E (scientific notation) T (transpose) R (radians) ¡ (degrees) g (gradians) ± (angle) Type this shortcut: @i @e @E @t @r @d @g @< TI-Nspire™ Reference Guide 133
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    To enter this: 4 (conversion) 4Decimal, 4approxFraction(), and so on. Type this shortcut: @> @>Decimal, @>approxFraction(), and so on. 134 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 141
    calculations inside a pair of parentheses, brackets, or braces are evaluated first. For example, in the expression 4(1+2), EOS™ software error message "Missing )." Note: Because the TI-Nspire™ software allows you to define your own functions, multiplication: a∗(b+c). TI-Nspire™ Reference Guide 135
  • Texas Instruments TINSPIRE | Reference Guide - Page 142
    produce 81. Constraint (|) The argument following the "with" (|) operator provides a set of constraints that affect the evaluation of the argument preceding the "with" operator. 136 TI-Nspire™ Reference Guide
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    error conditions apply only to TI-Nspire™ CAS products, and some apply only to TI-Nspire™ products. Error code 10 Calculator section in the documentation for more details. Argument must be an expression Batteries too low for sending or receiving Install new batteries TI-Nspire™ Reference Guide 137
  • Texas Instruments TINSPIRE | Reference Guide - Page 144
    is not a valid variable name Undefined Ans Either the previous calculation did not create Ans, or no previous calculation was entered. Invalid assignment Invalid assignment value Invalid command Invalid is valid only inside these loop blocks. Invalid outside program 138 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 145
    Link fail, pull out and re-insert batteries Missing ( Missing ) Missing " result For example, if the software is in the Real setting graphing Recursion too deep Reserved name or system variable Argument error Median-median model could not be applied to data set. TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 146
    TI-Nspire™ CAS. Unsupported feature. This operator requires Computer Algebra System. Try TI-Nspire™ CAS. Input argument must be numeric. Only inputs containing numeric values are allowed. Trig function argument too big for accurate reduction Unsupported use of Ans.This application does not support
  • Texas Instruments TINSPIRE | Reference Guide - Page 147
    in the third argument. If the third argument is omitted, the software attempts to select a default. Invalid library pathname A pathname must be functions support real-valued functions only. Domain error. Trigonometric conversion operators are not supported in TI-Nspire™ Reference Guide 141
  • Texas Instruments TINSPIRE | Reference Guide - Page 148
    Error code 1310 Description Argument error: A function could not be evaluated for one or more of its arguments. 142 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 149
    domain of the input. Domain of the result might be larger than the domain of the input. Non-real calculation ˆ^0 or undef^0 replaced by 1 undef^0 replaced by 1 1^ˆ or 1^undef replaced by 1 1^undef replaced ' or a conjunct of these forms, for example 'x-12' TI-Nspire™ Reference Guide 143
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    144 TI-Nspire™ Reference Guide
  • Texas Instruments TINSPIRE | Reference Guide - Page 151
    Service and Support Texas Instruments Support and Service For general information For more information about TI products and services, contact TI by e-mail or visit the TI Internet address. E-mail inquiries: Home Page: [email protected] education.ti.com Service and warranty information For
  • Texas Instruments TINSPIRE | Reference Guide - Page 152
    146 Service and Support
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    Index Symbols ^, power 118 ^/, reciprocal 128 :=, assign 129 !, factorial 122 .^, dot power 119 .*, dot multiplication 119 .+, dot addition 119 .N, dot subtraction 119 .P, dot division 119 ', minute notation 127 ", second notation 127 {, less than or equal 122 ©, comment 129 @list( ), list
  • Texas Instruments TINSPIRE | Reference Guide - Page 154
    cosecant 24 cubic regression, CubicReg 25 CubicReg, cubic regression 25 cumulative sum, cumulativeSum( ) 25 cumulativeSum( ), cumulative sum 25 customer support and service 145 Cycle, cycle 26 cycle, Cycle 26 4Cylind, display as cylindrical vector 26 cylindrical vector display, 4Cylind 26 148
  • Texas Instruments TINSPIRE | Reference Guide - Page 155
    D d ( ), first derivative 123 days between dates, dbd( ) 26 dbd( ), days between dates 26 4DD, display as decimal angle 27 4Decimal, display result as decimal 27 decimal angle display, 4DD 27 integer display, 4Base10 13 Define 27 Define LibPriv 28 Define LibPub 28 Define, define 27 define, Define 27
  • Texas Instruments TINSPIRE | Reference Guide - Page 156
    end while 111 EOS (Equation Operating System) 135 equal, = 121 Equation Operating System (EOS) 135 error codes and messages 137 errors and troubleshooting clear error, ClrErr 17 pass error, PassErr 73 euler( ), Euler function 34 evaluate polynomial, polyEval( ) 74 evaluation, order of 135 exclusive
  • Texas Instruments TINSPIRE | Reference Guide - Page 157
    getLockInfo( ), tests lock status of variable or variable group 42 getMode( ), get mode settings 42 getNum( ), get/return number 43 getType( ), get type of variable 43 getVarInfo( ), get/return variables information 43 go to, Goto 44 Goto, go to 44 4, convert to gradian angle 44 gradian notation, g
  • Texas Instruments TINSPIRE | Reference Guide - Page 158
    augment/concatenate, augment( ) 11 cross product, crossP( ) 23 cumulative sum, cumulativeSum( ) 25 difference, @list( ) 55 differences in a list, @list( ) 55 dot product, dotP( ) 31 empty elements in 131 list to matrix, list4mat( ) 55 matrix to list, mat4list( ) 60 maximum, max( ) 61 mid-string, mid
  • Texas Instruments TINSPIRE | Reference Guide - Page 159
    maximum, max( ) 61 mean, mean( ) 61 mean( ), mean 61 median, median( ) 61 median( ), median 61 medium-medium line regression, MedMed 62 MedMed, medium-medium line regression 62 mid( ), mid-string 62 mid-string, mid( ) 62 min( ), minimum 63 minimum, min( ) 63 minute notation, ' 127 mirr( ), modified
  • Texas Instruments TINSPIRE | Reference Guide - Page 160
    74 polynomials evaluate, polyEval( ) 74 random, randPoly( ) 81 PolyRoots() 74 power of ten, 10^( ) 128 power regression, PowerReg 74, 75, 83, 84, 103 power, ^ 118 PowerReg, power regression 75 Prgm, define program 76 prime number test, isPrime( ) 49 probability densiy, normPdf( ) 69 prodSeq() 76
  • Texas Instruments TINSPIRE | Reference Guide - Page 161
    84 result values, statistics 98 results, statistics 97 Return, return 84 return, Return 84 right, right( ) 18, 34, 48, 84, 85, 110 right( ), right 84 sequence 89 seqGen( ) 89 seqn( ) 90 sequence, seq( ) 89, 90 service and support 145 set mode, setMode( ) 90 setMode( ), set mode 90 settings, get
  • Texas Instruments TINSPIRE | Reference Guide - Page 162
    student-t probability density, tPdf( ) 104 subMat( ), submatrix 99, 100 submatrix, subMat( ) 99, 100 subtract, N 116 sum (G) template for 4 sum of interest payments 125 sum of principal payments 125 sum, Σ( ) 124 sum( ), summation 99 sumIf( ) 100 summation, sum( ) 99 sumSeq() 100 support and service
  • Texas Instruments TINSPIRE | Reference Guide - Page 163
    time value of money, present value 107 tInterval_2Samp, two-sample t confidence interval 104 tInterval, t confidence interval 103 tPdf( ), student-t probability density 104 trace( ) 104 transpose, T 100 Try, error handling command 105 tTest_2Samp, two-sample t test 106 tTest, t test 105 TVM
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Reference Guide
This guidebook applies to TI-Nspireā„¢ software version 3.0. To obtain the
latest version of the documentation, go to education.ti.com/guides.