Texas Instruments TINSPIRE Reference Manual

Download or browse on-line these Reference Manual for Texas Instruments TI-Nspire Calculator, Docking Station.

Texas Instruments TI-Nspire Manual Information:

This manual for Texas Instruments TI-Nspire, given in the PDF format, is available for free online viewing and download without logging on. The guide contains 164 pages, and the size of the file at download is 4.14 Mb. The document type is Reference Manual.

Download Manual

More Manuals:

In case you failed to obtain relevant information in this document, please, look through related operating manuals and user instructions for Texas Instruments TI-Nspire. Just click one of the links below to go to the selected manual:

Summary of Contents:

[Page 1] Texas Instruments TI-Nspire

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. ...

[Page 2] Texas Instruments TI-Nspire

ii Important Information Except as otherwise expressly stated in the License that accompanies a program, Texas Instruments makes no warranty, either express or implied, including but not limited to any implied warranties of merchantability and fit...

[Page 3] Texas Instruments TI-Nspire

iii Contents Expression templates Fraction template ........................................1 Exponent template ...................................... 1 Square root template ..................................1 Nth root template ......................

[Page 4] Texas Instruments TI-Nspire

iv eigVc() .........................................................32 eigVl() .........................................................32 Else ..............................................................32 ElseIf .....................................

[Page 5] Texas Instruments TI-Nspire

v P4Rx() ........................................................... 72 P4Ry() ........................................................... 73 PassErr ......................................................... 73 piecewise() ..............................

[Page 6] Texas Instruments TI-Nspire

vi Z zInterval ....................................................112 zInterval_1Prop ........................................112 zInterval_2Prop ........................................113 zInterval_2Samp .......................................113 ...

[Page 7] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 1 TI-Nspire™ Reference Guide This guide lists the templates, functions, commands, and operators available for evaluating math expressions. Expression templates Expression templates give you an easy way to enter math e...

[Page 8] Texas Instruments TI-Nspire

2 TI-Nspire™ Reference Guide e exponent template u keys Natural exponential e raised to a power Note: See also e^(), page 31. Example: Log template /s key Calculates log to a specified base. For a default of base 10, omit the base. Note: See also ...

[Page 9] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 3 System of 2 equations template Catalog > Creates a system of two linear equations. To add a row to an existing system, click in the template and repeat the template. Note: See also system(), page 100. Example: Syst...

[Page 10] Texas Instruments TI-Nspire

4 TI-Nspire™ Reference Guide Matrix template (1 x 2) Catalog > . Example: Matrix template (2 x 1) Catalog > Example: Matrix template (m x n) Catalog > The template appears after you are prompted to specify the number of rows and column...

[Page 11] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 5 First derivative template Catalog > The first derivative template can be used to calculate first derivative at a point numerically, using auto differentiation methods. Note: See also d() (derivative), page 123. Exa...

[Page 12] Texas Instruments TI-Nspire

6 TI-Nspire™ Reference Guide Alphabetical listing Items whose names are not alphabetic (such as +, !, and >) are listed at the end of this section, starting on page 116. Unless otherwise specified, all examples in this section were performed i...

[Page 13] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 7 Integer1 and Integer2 ⇒ integer Compares two real integers bit-by-bit using an and operation. Internally, both integers are converted to signed, 64-bit binary numbers. When corresponding bits are compared, the resul...

[Page 14] Texas Instruments TI-Nspire

8 TI-Nspire™ Reference Guide Outputs: Block Design COLUMN FACTOR Outputs stat.SSError Sum of squares of the errors stat.MSError Mean square for the errors stat.sp Pooled standard deviation stat.xbarlist Mean of the input of the lists stat.CLowerLi...

[Page 15] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 9 ROW FACTOR Outputs INTERACTION Outputs ERROR Outputs stat.PValCol Probability value of the column factor stat.dfCol Degrees of freedom of the column factor stat.SSCol Sum of squares of the column factor stat.MSCol Mean ...

[Page 16] Texas Instruments TI-Nspire

10 TI-Nspire™ Reference Guide approx() Catalog > approx(Va lu e 1) ⇒ number Returns the evaluation of the argument as an expression containing decimal values, when possible, regardless of the current Auto or Approximate mode. This is equi...

[Page 17] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 11 arccoth() See coth / (), page 22 . arccsc() See csc / (), page 24 . arccsch() See csch / (), page 24 . arcsec() See sec / (), page 88 . arcsech() See sech / (), page 88 . arcsin() See sin / (), page 93 . arcsinh(...

[Page 18] Texas Instruments TI-Nspire

12 TI-Nspire™ Reference Guide B avgRC() Catalog > avgRC(Expr1, Va r [=Value] [, Step]) ⇒ expression avgRC(Expr1, Va r [=Value] [, List1]) ⇒ list avgRC(List1, Va r [=Value] [, Step]) ⇒ list avgRC(Matrix1, Va r [=Value] [, Step]) ⇒ m...

[Page 19] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 13 Without a prefix, Integer1 is treated as decimal (base 10). The result is displayed in binary, regardless of the Base mode. Negative numbers are displayed in “two's complement” form. For example, N1 is displ...

[Page 20] Texas Instruments TI-Nspire

14 TI-Nspire™ Reference Guide C 4Base16 Catalog > Integer1 4Base16 ⇒ integer Note: You can insert this operator from the computer keyboard by typing @>Base16. Converts Integer1 to a hexadecimal number. Binary or hexadecimal numbers alw...

[Page 21] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 15 centralDiff() Catalog > centralDiff(Expr1,Va r [=Value][,Step]) ⇒ expression centralDiff(Expr1,Va r [,Step])|Va r= Val u e ⇒ expression centralDiff(Expr1,Va r [=Value][,List]) ⇒ list centralDiff(List1,Va r ...

[Page 22] Texas Instruments TI-Nspire

16 TI-Nspire™ Reference Guide c 2 Cdf() Catalog > c 2 Cdf(lowBound,upBound,df) ⇒ number if lowBound and upBound are numbers, list if lowBound and upBound are lists chi2Cdf(lowBound,upBound,df) ⇒ number if lowBound and upBound are numbers...

[Page 23] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 17 ClrErr Catalog > ClrErr Clears the error status and sets system variable errCode to zero. The Else clause of the Try...Else...EndTry block should use ClrErr or PassErr. If the error is to be processed or ignored...

[Page 24] Texas Instruments TI-Nspire

18 TI-Nspire™ Reference Guide completeSquare() Catalog > completeSquare(ExprOrEqn, Var ) ⇒ expression or equation completeSquare(ExprOrEqn, Var ^P ow e r) ⇒ expression or equation completeSquare(ExprOrEqn, Var1, Var2 [,...]) ⇒ expressio...

[Page 25] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 19 CopyVar Va r1 ., Va r 2. copies all members of the Va r1 . variable group to the Var 2 . group, creating Var 2. if necessary. Va r1 . must be the name of an existing variable group, such as the statistics stat.nn re...

[Page 26] Texas Instruments TI-Nspire

20 TI-Nspire™ Reference Guide cos(squareMatrix1) ⇒ squareMatrix Returns the matrix cosine of squareMatrix1. This is not the same as calculating the cosine of each element. When a scalar function f(A) operates on squareMatrix1 (A), the result is...

[Page 27] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 21 cosh() Catalog > cosh(Va l u e 1) ⇒ value cosh(List1) ⇒ list cosh(Va l ue 1 ) returns the hyperbolic cosine of the argument. cosh(List1) returns a list of the hyperbolic cosines of each element of List1. cosh...

[Page 28] Texas Instruments TI-Nspire

22 TI-Nspire™ Reference Guide cot / () μ key cot/(Va lu e1 ) ⇒ value cot/(List1) ⇒ list Returns the angle whose cotangent is Va lu e1 or returns a list containing the inverse cotangents of each element of List1. Note: The result is returned...

[Page 29] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 23 countif() Catalog > countif(List,Criteria) ⇒ value Returns the accumulated count of all elements in List that meet the specified Criteria. Criteria can be: • A value, expression, or string. For example, 3 cou...

[Page 30] Texas Instruments TI-Nspire

24 TI-Nspire™ Reference Guide csc() μ key csc(Va lu e 1) ⇒ value csc(List1) ⇒ list Returns the cosecant of Va lu e1 or returns a list containing the cosecants of all elements in List1. In Degree angle mode: In Gradian angle mode: In Radian a...

[Page 31] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 25 CubicReg Catalog > CubicReg X, Y[, [Freq] [, Category, Include]] Computes the cubic polynomial regression y = a·x 3 +b· x 2 +c·x+d on lists X and Y with frequency Freq. A summary of results is stored in the s...

[Page 32] Texas Instruments TI-Nspire

26 TI-Nspire™ Reference Guide D Cycle Catalog > Cycle Transfers control immediately to the next iteration of the current loop (For, While, or Loop). Cycle is not allowed outside the three looping structures (For, While, or Loop). Note for en...

[Page 33] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 27 4DD Catalog > Expr1 4DD ⇒ value List1 4DD ⇒ list Matrix1 4DD ⇒ matrix Note: You can insert this operator from the computer keyboard by typing @>DD. Returns the decimal equivalent of the argument expres...

[Page 34] Texas Instruments TI-Nspire

28 TI-Nspire™ Reference Guide Define Function(Param1, Param2, ...) = Func Block EndFunc Define Program(Param1, Param2, ...) = Prgm Block EndPrgm In this form, the user-defined function or program can execute a block of multipl...

[Page 35] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 29 deltaList() See @List() , page 55 . DelVar Catalog > DelVar Va r1 [, Va r2 ] [, Var 3] ... DelVar Va r. Deletes the specified variable or variable group from memory. If one or more of the variables are locked, ...

[Page 36] Texas Instruments TI-Nspire

30 TI-Nspire™ Reference Guide diag() Catalog > diag(List) ⇒ matrix diag(rowMatrix) ⇒ matrix diag(columnMatrix) ⇒ matrix Returns a matrix with the values in the argument list or matrix in its main diagonal. diag(squareMatrix) ⇒ rowMatr...

[Page 37] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 31 E 4DMS Catalog > Va lu e 4DMS List 4DMS Matrix 4DMS Note: You can insert this operator from the computer keyboard by typing @>DMS. Interprets the argument as an angle and displays the equivalent DMS (DDDDDD...

[Page 38] Texas Instruments TI-Nspire

32 TI-Nspire™ Reference Guide eff() Catalog > eff(nominalRate,CpY) ⇒ value Financial function that converts the nominal interest rate nominalRate to an annual effective rate, given CpY as the number of compounding periods per year. nominal...

[Page 39] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 33 ElseIf Catalog > If BooleanExpr1 Then Block1 ElseIf BooleanExpr2 Then Block2 © ElseIf BooleanExprN Then BlockN EndIf © Note for entering the example: In the Calculator application on the handheld...

[Page 40] Texas Instruments TI-Nspire

34 TI-Nspire™ Reference Guide euler() Catalog > euler(Expr, Var , depVar, {Va r0 , Var M ax }, depVar0, Var St e p [, eulerStep]) ⇒ matrix euler(SystemOfExpr, Va r , ListOfDepVars, {Var 0, Va rM ax }, ListOfDepVars0, Va r St e p [, eule...

[Page 41] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 35 exp() u key exp(Va lu e 1) ⇒ value Returns e raised to the Va l ue 1 power. Note: See also e exponent template, page 2. You can enter a complex number in re i q polar form. However, use this form in Radian angle m...

[Page 42] Texas Instruments TI-Nspire

36 TI-Nspire™ Reference Guide F stat.Resid Residuals associated with the exponential model stat.ResidTrans Residuals associated with linear fit of transformed data stat.XReg List of data points in the modified X List actually used in the regression...

[Page 43] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 37 Fill Value, listVar ⇒ list Replaces each element in variable listVar with Va l ue . listVar must already exist. FiveNumSummary Catalog > FiveNumSummary X[,[Freq][,Category,Include]] Provides an abbreviated vers...

[Page 44] Texas Instruments TI-Nspire

38 TI-Nspire™ Reference Guide For Catalog > For Var , Low, High [, Step] Block EndFor Executes the statements in Block iteratively for each value of Va r , from Low to High, in increments of Step. Va r must not be a system variable. ...

[Page 45] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 39 freqTable4list() Catalog > freqTable 4 list(List1,freqIntegerList) ⇒ list Returns a list containing the elements from List1 expanded according to the frequencies in freqIntegerList. This function can be used fo...

[Page 46] Texas Instruments TI-Nspire

40 TI-Nspire™ Reference Guide G Output variable Description stat.F Calculated F statistic for the data sequence stat.PVal Smallest level of significance at which the null hypothesis can be rejected stat.dfNumer numerator degrees of freedom = n1-1 ...

[Page 47] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 41 geomCdf() Catalog > geomCdf(p,lowBound,upBound) ⇒ number if lowBound and upBound are numbers, list if lowBound and upBound are lists geomCdf( p,upBound) for P(1{X{upBound) ⇒ number if upBound is a number, li...

[Page 48] Texas Instruments TI-Nspire

42 TI-Nspire™ Reference Guide getLockInfo() Catalog > getLockInfo(Va r) ⇒ value Returns the current locked/unlocked state of variable Va r. value =0: Va r is unlocked or does not exist. value =1: Va r is locked and cannot be modified or dele...

[Page 49] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 43 getNum() Catalog > getNum(Fraction1) ⇒ value Transforms the argument into an expression having a reduced common denominator, and then returns its numerator. getType() Catalog > getType(var) ⇒ string Retu...

[Page 50] Texas Instruments TI-Nspire

44 TI-Nspire™ Reference Guide Note the example to the left, in which the result of getVarInfo() is assigned to variable vs. Attempting to display row 2 or row 3 of vs returns an “Invalid list or matrix” error because at least one of elements...

[Page 51] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 45 I identity() Catalog > identity(Integer) ⇒ matrix Returns the identity matrix with a dimension of Integer. Integer must be a positive integer. If Catalog > If BooleanExpr Statement If BooleanExpr Then Bloc...

[Page 52] Texas Instruments TI-Nspire

46 TI-Nspire™ Reference Guide If BooleanExpr1 Then Block1 ElseIf BooleanExpr2 Then Block2 © ElseIf BooleanExprN Then BlockN EndIf Allows for branching. If BooleanExpr1 evaluates to true, executes Block1. If BooleanExpr1 ev...

[Page 53] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 47 imag(Matrix1) ⇒ matrix Returns a matrix of the imaginary parts of the elements. Indirection See #() , page 126 . inString( ) Catalog > inString(srcString, subString[, Start]) ⇒ integer Returns the character ...

[Page 54] Texas Instruments TI-Nspire

48 TI-Nspire™ Reference Guide interpolate( ) Catalog > interpolate(xValue, xList, yList, yPrimeList) ⇒ list This function does the following: Given xList, yList=f(xList), and yPrimeList=f'(xList) for some unknown function f, a cubic i...

[Page 55] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 49 iPart() Catalog > iPart(Number) ⇒ integer iPart(List1) ⇒ list iPart (Matrix1) ⇒ matrix Returns the integer part of the argument. For lists and matrices, returns the integer part of each element. The argument...

[Page 56] Texas Instruments TI-Nspire

50 TI-Nspire™ Reference Guide L Lbl Catalog > Lbl labelName Defines a label with the name labelName within a function. You can use a Goto labelName instruction to transfer control to the instruction immediately following the label. labelName ...

[Page 57] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 51 libShortcut() Catalog > libShortcut(LibNameString, ShortcutNameString [, LibPrivFlag]) ⇒ list of variables Creates a variable group in the current problem that contains references to all the objects in the spec...

[Page 58] Texas Instruments TI-Nspire

52 TI-Nspire™ Reference Guide LinRegMx Catalog > LinRegMx X,Y[,[Freq][,Category,Include]] Computes the linear regression y = m·x+b on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See page ...

[Page 59] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 53 For Slope type only For Response type only Output variable Description stat.RegEqn Regression Equation: a+b·x stat.a, stat.b Regression coefficients stat.df Degrees of freedom stat.r 2 Coefficient of determination sta...

[Page 60] Texas Instruments TI-Nspire

54 TI-Nspire™ Reference Guide LinRegtTest Catalog > 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 coefficient r for the equation y=a+bx. It tests th...

[Page 61] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 55 linSolve() Catalog > linSolve( SystemOfLinearEqns, Var 1 , Va r2 , ...) ⇒ list linSolve(LinearEqn1 and LinearEqn2 and ..., Va r1 , Va r2 , ...) ⇒ list linSolve({ LinearEqn1, LinearEqn2, ...}, Var 1 , Va r 2,...

[Page 62] Texas Instruments TI-Nspire

56 TI-Nspire™ Reference Guide ln(squareMatrix1) ⇒ squareMatrix Returns the matrix natural logarithm of squareMatrix1. This is not the same as calculating the natural logarithm of each element. For information about the calculation method, refer...

[Page 63] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 57 Local Catalog > Local Va r1 [, Va r2 ] [, Va r3 ] ... Declares the specified vars as local variables. Those variables exist only during evaluation of a function and are deleted when the function finishes executi...

[Page 64] Texas Instruments TI-Nspire

58 TI-Nspire™ Reference Guide log() / s keys log(Va lu e 1[,Va lu e2 ]) ⇒ value log(List1[,Val ue 2 ]) ⇒ list Returns the base-Value2 logarithm of the first argument. Note: See also Log template, page 2. For a list, returns the base-Value2 log...

[Page 65] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 59 Output variable Description stat.RegEqn Regression equation: c/(1+a·e -bx ) stat.a, stat.b, stat.c Regression coefficients stat.Resid Residuals from the regression stat.XReg List of data points in the modified X List ...

[Page 66] Texas Instruments TI-Nspire

60 TI-Nspire™ Reference Guide M Loop Catalog > Loop Block EndLoop Repeatedly executes the statements in Block. Note that the loop will be executed endlessly, unless a Goto or Exit instruction is executed within Block. Block is a sequence of ...

[Page 67] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 61 max() Catalog > max(Va l ue 1, Va lu e2 ) ⇒ expression max(List1, List2) ⇒ list max (Matrix1, Matrix2) ⇒ matrix Returns the maximum of the two arguments. If the arguments are two lists or matrices, returns ...

[Page 68] Texas Instruments TI-Nspire

62 TI-Nspire™ Reference Guide median(Matrix1[, freqMatrix]) ⇒ matrix Returns a row vector containing the medians of the columns in Matrix1. Each freqMatrix element counts the number of consecutive occurrences of the corresponding element in Mat...

[Page 69] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 63 mid(sourceList, Start [, Count]) ⇒ list Returns Count elements from sourceList, beginning with element number Start. If Count is omitted or is greater than the dimension of sourceList, returns all elements from s...

[Page 70] Texas Instruments TI-Nspire

64 TI-Nspire™ Reference Guide mod() Catalog > mod(Va lu e 1, Va lu e2 ) ⇒ expression mod(List1, List2) ⇒ list mod(Matrix1, Matrix2) ⇒ matrix Returns the first argument modulo the second argument as defined by the identities: mod(x,0) = ...

[Page 71] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 65 Outputs MultRegIntervals Catalog > MultRegIntervals Y, X1[,X2[,X3,…[,X10]]],XValList[,CLevel] Computes a predicted y-value, a level C prediction interval for a single observation, and a level C confidence inter...

[Page 72] Texas Instruments TI-Nspire

66 TI-Nspire™ Reference Guide N stat.AdjR 2 Adjusted coefficient of multiple determination stat.s Standard deviation of the error stat.DW Durbin-Watson statistic; used to determine whether first-order auto correlation is present in the model stat.d...

[Page 73] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 67 nDerivative() Catalog > nDerivative(Expr1,Va r = Va lu e [,Order]) ⇒ value nDerivative( Expr1,Va r [,Order]) | Va r= Val ue ⇒ value Returns the numerical derivative calculated using auto differentiation met...

[Page 74] Texas Instruments TI-Nspire

68 TI-Nspire™ Reference Guide nfMin() Catalog > nfMin(Expr, Va r) ⇒ value nfMin(Expr, Va r, lowBound) ⇒ value nfMin(Expr, Va r, lowBound, upBound) ⇒ value nfMin(Expr, Var) | lowBound<Va r<upBound ⇒ value Returns a candidate numer...

[Page 75] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 69 normCdf() Catalog > normCdf(lowBound,upBound[,m[,s]]) ⇒ number if lowBound and upBound are numbers, list if lowBound and upBound are lists Computes the normal distribution probability between lowBound and up...

[Page 76] Texas Instruments TI-Nspire

70 TI-Nspire™ Reference Guide nPr(Matrix1, Matrix2) ⇒ matrix Returns a matrix of permutations based on the corresponding element pairs in the two matrices. The arguments must be the same size matrix. npv() Catalog > npv(InterestRate,CFO,CF...

[Page 77] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 71 O OneVar Catalog > OneVar [1,]X[,[Freq][,Category,Include]] OneVar [ n,]X1,X2[X3[,…[,X20]]] Calculates 1-variable statistics on up to 20 lists. A summary of results is stored in the stat.results variable. (See ...

[Page 78] Texas Instruments TI-Nspire

72 TI-Nspire™ Reference Guide P or Catalog > BooleanExpr1 or BooleanExpr2 ⇒ Boolean expression Returns true or false or a simplified form of the original entry. Returns true if either or both expressions simplify to true. Returns false only...

[Page 79] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 73 P4Ry() Catalog > P4Ry(rValue, qVal ue ) ⇒ value P4Ry(rList, qList) ⇒ list P4Ry(rMatrix, qMatrix) ⇒ matrix Returns the equivalent y-coordinate of the (r, q) pair. Note: The q argument is interpreted as either...

[Page 80] Texas Instruments TI-Nspire

74 TI-Nspire™ Reference Guide 4Polar Catalog > Ve ct or 4Polar Note: You can insert this operator from the computer keyboard by typing @>Polar. Displays vector in polar form [r ±q]. The vector must be of dimension 2 and can be a row o...

[Page 81] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 75 PowerReg Catalog > PowerReg X,Y [, Freq] [, Category, Include]] Computes the power regression y = (a·(x) b ) on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (S...

[Page 82] Texas Instruments TI-Nspire

76 TI-Nspire™ Reference Guide Prgm Catalog > Prgm Block EndPrgm Template for creating a user-defined program. Must be used with the Define, Define LibPub, or Define LibPriv command. Block can be a single statement, a series of stateme...

[Page 83] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 77 Q propFrac() Catalog > propFrac(Va lu e1 [, Va r ]) ⇒ value propFrac(rational_number) returns rational_number as the sum of an integer and a fraction having the same sign and a greater denominator magnitude th...

[Page 84] Texas Instruments TI-Nspire

78 TI-Nspire™ Reference Guide QuadReg Catalog > QuadReg X,Y [, Freq] [, Category, Include]] Computes the quadratic polynomial regression y = a·x 2 +b·x+c on lists X and Y with frequency Freq. A summary of results is stored in the stat.resu...

[Page 85] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 79 R Output variable Description stat.RegEqn Regression equation: a·x 4 +b·x 3 +c· x 2 +d·x+e stat.a, stat.b, stat.c, stat.d, stat.e Regression coefficients stat.R 2 Coefficient of determination stat.Resid Residuals ...

[Page 86] Texas Instruments TI-Nspire

80 TI-Nspire™ Reference Guide 4Rad Catalog > Va lu e1 4Rad ⇒ value 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:...

[Page 87] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 81 randPoly() Catalog > randPoly(Va r, Order) ⇒ expression Returns a polynomial in Va r of the specified Order. The coefficients are random integers in the range L9 through 9. The leading coefficient will not b...

[Page 88] Texas Instruments TI-Nspire

82 TI-Nspire™ Reference Guide complexValue 4Rect Displays complexValue in rectangular form a+bi. The complexValue can have any complex form. However, an re iq entry causes an error in Degree angle mode. Note: You must use parentheses for an (r±...

[Page 89] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 83 remain() Catalog > remain(Va lu e1 , Val u e2 ) ⇒ value remain(List1, List2) ⇒ list remain(Matrix1, Matrix2) ⇒ matrix Returns the remainder of the first argument with respect to the second argument as defin...

[Page 90] Texas Instruments TI-Nspire

84 TI-Nspire™ Reference Guide RequestStr Catalog > RequestStr promptString, var[, DispFlag] Programming command: Operates identically to the first syntax of the Request command, except that the user’s response is always interpreted as a st...

[Page 91] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 85 rk23() Catalog > rk23(Expr, Var , depVar, {Va r 0 , Va r Ma x }, depVar0, Var St ep [, diftol]) ⇒ matrix rk23(SystemOfExpr, Var , ListOfDepVars, {Va r0 , Va rM ax }, ListOfDepVars0, Va rS te p [, diftol]) �...

[Page 92] Texas Instruments TI-Nspire

86 TI-Nspire™ Reference Guide If #ofRotations is positive, the rotation is to the left. If #ofRotations is negative, the rotation is to the right. The default is L1 (rotate right one bit). For example, in a right rotation: In Hex base mode: Each ...

[Page 93] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 87 rowDim() Catalog > rowDim(Matrix) ⇒ expression Returns the number of rows in Matrix. Note: See also colDim(), page 17. rowNorm() Catalog > rowNorm(Matrix) ⇒ expression Returns the maximum of the sums of t...

[Page 94] Texas Instruments TI-Nspire

88 TI-Nspire™ Reference Guide S sec() μ key sec(Va lu e 1) ⇒ value sec(List1) ⇒ list Returns the secant of Va lu e1 or returns a list containing the secants of all elements in List1. Note: The argument is interpreted as a degree, gradian or ...

[Page 95] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 89 seq() Catalog > seq(Expr, Va r, Low, High[, Step]) ⇒ list Increments Va r from Low through High by an increment of Step, evaluates Expr, and returns the results as a list. The original contents of Va r are sti...

[Page 96] Texas Instruments TI-Nspire

90 TI-Nspire™ Reference Guide seqn() Catalog > seqn(Expr(u, n [, ListOfInitTerms[, nMax [, CeilingValue]]]) ⇒ list Generates a list of terms for a sequence u(n)=Expr(u, n) as follows: Increments n from 1 through nMax by 1, evaluates u(n) fo...

[Page 97] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 91 Exponential Format 3 1 =Normal, 2=Scientific, 3=Engineering Real or Complex 4 1 =Real, 2=Rectangular, 3=Polar Auto or Approx. 5 1 =Auto, 2=Approximate Vector Format 6 1 =Rectangular, 2=Cylindrical, 3=Spherical Base 7 1...

[Page 98] Texas Instruments TI-Nspire

92 TI-Nspire™ Reference Guide sign() Catalog > sign(Va lu e1 ) ⇒ value sign(List1) ⇒ list sign(Matrix1) ⇒ matrix For real and complex Va lu e1 , returns Va l ue 1 / abs(Val ue 1) when Va lu e1 ƒ 0. Returns 1 if Va lu e 1 is positive....

[Page 99] Texas Instruments TI-Nspire

TI-Nspire™ Reference Guide 93 sin() μ key sin(Va lu e1 ) ⇒ value sin(List1) ⇒ list sin(Val u e 1) returns the sine of the argument. sin(List1) returns a list of the sines of all elements in List1. Note: The argument is interpreted as a degree,...

[Page 100] Texas Instruments TI-Nspire

94 TI-Nspire™ Reference Guide sinh() Catalog > sinh(Numver1) ⇒ value sinh(List1) ⇒ list sinh (Val ue 1) returns the hyperbolic sine of the argument. sinh (List1) returns a list of the hyperbolic sines of each element of List1. sinh(square...