Texas Instruments TI-Nspire Reference Guide

Reference Guide

This guidebook applies to TI-Nspire™ software version 1.4. To obtain the latest version of the documentation, go to education.ti.com/guides.

Important Information

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License

Please see the complete license installed in C:\Program Files\TI Education\TI-Nspire.

Macintosh®, Windows®, Excel®, Vernier EasyLink®, EasyTemp®, Go!®Link, Go!®Motion, and Go!®Temp are trademarks of their respective owners.

Expression templates

Fraction template ........................................ 1

Exponent template ......................................1

Square root template .................................. 1

Nth root template ........................................1

e exponent template ................................... 1

Log template ................................................ 2

Piecewise template (2-piece) .......................2

Piecewise template (N-piece) ......................2

Absolute value template .............................2

dd°mm’ss.ss’’ template ................................2

Matrix template (2 x 2) ................................3

Matrix template (1 x 2) ................................3

Matrix template (2 x 1) ................................3

Matrix template (m x n) .............................. 3

Sum template (G) ......................................... 3

Product template (Π) ...................................4

Alphabetical listing A

abs() ..............................................................5

amortTbl() .................................................... 5

and ................................................................5

angle() ..........................................................6

ANOVA .........................................................6

ANOVA2way ................................................ 7

Ans ................................................................8

approx() ........................................................9

approxRational() .......................................... 9

augment() .....................................................9

avgRC() ....................................................... 10

bal() .............................................................10

4Base2 .........................................................10

4Base10 .......................................................11

4Base16 .......................................................11

binomCdf() ................................................. 11

binomPdf() ................................................. 12

ceiling() .......................................................12

char() ...........................................................12

2way ........................................................12

Cdf() .........................................................13

GOF ......................................................... 13

Pdf() .........................................................13

ClearAZ .......................................................13

ClrErr ...........................................................14

colAugment() ............................................. 14

colDim() ......................................................14

colNorm() ....................................................14

conj() ...........................................................14

constructMat() ............................................ 15

CopyVar ...................................................... 15

corrMat() ....................................................15

cos() .............................................................16

cosê() ...........................................................17

cosh() .......................................................... 17

coshê() ........................................................ 17

cot() ............................................................ 18

cotê() .......................................................... 18

coth() .......................................................... 18

cothê() ........................................................ 18

count() ........................................................ 19

countif() ..................................................... 19

crossP() ....................................................... 19

csc() ............................................................. 20

cscê() ........................................................... 20

csch() ........................................................... 20

cschê() ......................................................... 20

CubicReg .................................................... 21

cumSum() ................................................... 21

Cycle ........................................................... 22

4Cylind ........................................................ 22

dbd() ........................................................... 22

4DD ............................................................. 23

4Decimal ..................................................... 23

Define ......................................................... 23

Define LibPriv ............................................ 24

Define LibPub ............................................ 24

DelVar ........................................................ 25

det() ............................................................ 25

diag() .......................................................... 25

dim() ........................................................... 26

Disp ............................................................. 26

4DMS ........................................................... 26

dotP() .......................................................... 26

e^() ............................................................. 27

eff() ............................................................. 27

eigVc() ........................................................ 27

eigVl() ......................................................... 28

Else ............................................................. 28

ElseIf ........................................................... 28

EndFor ........................................................ 28

EndFunc ...................................................... 28

EndIf ........................................................... 28

EndLoop ..................................................... 28

EndPrgm ..................................................... 28

EndTry ........................................................ 28

EndWhile .................................................... 29

Exit .............................................................. 29

exp() ........................................................... 29

expr() .......................................................... 29

ExpReg ....................................................... 30

factor() ....................................................... 30

FCdf() ......................................................... 31

Fill ............................................................... 31

FiveNumSummary ...................................... 31

floor() ......................................................... 32

For .............................................................. 32

format() ...................................................... 32

iii

fPart() ..........................................................33

FPdf() ..........................................................33

freqTable4list() ............................................33

frequency() .................................................33

FTest_2Samp ..............................................34

Func .............................................................34

gcd() ............................................................35

geomCdf() ...................................................35

geomPdf() ...................................................35

getDenom() ................................................35

getLangInfo() .............................................36

getMode() ...................................................36

getNum() ....................................................37

getVarInfo() ................................................37

Goto ............................................................38

4Grad ...........................................................38

identity() .....................................................38

If ..................................................................39

ifFn() ............................................................40

imag() ..........................................................40

Indirection ..................................................40

inString() .....................................................40

int() .............................................................41

intDiv() ........................................................41

() .........................................................41

invc

invF() ...........................................................41

invNorm() ....................................................41

invt() ............................................................41

iPart() ..........................................................41

irr() ..............................................................42

isPrime() ......................................................42

Lbl ...............................................................42

lcm() ............................................................43

left() ............................................................43

libShortcut() ................................................43

LinRegBx .....................................................44

LinRegMx ....................................................44

LinRegtIntervals .........................................45

LinRegtTest .................................................46

@List() ..........................................................47

list4mat() .....................................................47

ln() ...............................................................47

LnReg ..........................................................48

Local ............................................................49

log() .............................................................49

Logistic ........................................................50

LogisticD .....................................................50

Loop ............................................................51

LU ................................................................52

mat4list() .....................................................52

max() ...........................................................52

mean() .........................................................53

median() .....................................................53

MedMed .....................................................53

mid() ............................................................54

min() ........................................................... 54

mirr() ........................................................... 55

mod() .......................................................... 55

mRow() ....................................................... 55

mRowAdd() ................................................ 55

MultReg ...................................................... 55

MultRegIntervals ....................................... 56

MultRegTests ............................................. 56

nCr() ............................................................ 58

nDeriv() ....................................................... 58

newList() ..................................................... 58

newMat() .................................................... 58

nfMax() ....................................................... 59

nfMin() ....................................................... 59

nInt() ........................................................... 59

nom() .......................................................... 59

norm() ......................................................... 60

normCdf() ................................................... 60

normPdf() ................................................... 60

not .............................................................. 60

nPr() ............................................................ 61

npv() ........................................................... 61

nSolve() ....................................................... 61

OneVar ....................................................... 62

or ................................................................ 63

ord() ............................................................ 63

P4Rx() .......................................................... 63

P4Ry() .......................................................... 64

PassErr ........................................................ 64

piecewise() ................................................. 64

poissCdf() .................................................... 64

poissPdf() .................................................... 64

4Polar .......................................................... 65

polyEval() .................................................... 65

PowerReg ................................................... 65

Prgm ........................................................... 66

Product (PI) ................................................. 66

product() .................................................... 66

propFrac() ................................................... 67

QR ............................................................... 68

QuadReg .................................................... 68

QuartReg .................................................... 69

R4Pq() .......................................................... 70

R4Pr() ........................................................... 70

4Rad ............................................................ 70

rand() .......................................................... 70

randBin() .................................................... 71

randInt() ..................................................... 71

randMat() ................................................... 71

randNorm() ................................................ 71

randPoly() ................................................... 71

randSamp() ................................................. 71

RandSeed ................................................... 72

real() ...........................................................72

4Rect ............................................................72

ref() .............................................................73

remain() ......................................................73

Return .........................................................73

right() ..........................................................73

root() ...........................................................74

rotate() .......................................................74

round() ........................................................75

rowAdd() ....................................................75

rowDim() ....................................................75

rowNorm() ..................................................75

rowSwap() ..................................................75

rref() ............................................................76

sec() .............................................................76

sec/() ...........................................................76

sech() ...........................................................76

sechê() ......................................................... 77

seq() ............................................................77

setMode() ................................................... 77

shift() ..........................................................78

sign() ...........................................................79

simult() ........................................................79

sin() .............................................................80

sinê() ...........................................................80

sinh() ...........................................................81

sinhê() .........................................................81

SinReg .........................................................81

SortA ...........................................................82

SortD ...........................................................82

4Sphere ....................................................... 83

sqrt() ...........................................................83

stat.results .................................................. 83

stat.values ...................................................84

stDevPop() .................................................. 84

stDevSamp() ............................................... 85

Stop .............................................................85

Store ...........................................................85

string() ........................................................85

subMat() .....................................................86

Sum (Sigma) ...............................................86

sum() ...........................................................86

sumIf() .........................................................87

system() .......................................................87

T (transpose) ...............................................87

tan() ............................................................88

tanê() ..........................................................88

tanh() ..........................................................89

tanhê() ........................................................89

tCdf() ...........................................................90

Then ............................................................90

tInterval ......................................................90

tInterval_2Samp .........................................90

tPdf() ...........................................................91

trace() .........................................................91

Try ...............................................................91

tTest ............................................................92

tTest_2Samp ...............................................93

tvmFV() .......................................................93

tvmI() .......................................................... 93

tvmN() ........................................................ 93

tvmPmt() .................................................... 94

tvmPV() ....................................................... 94

TwoVar ....................................................... 94

unitV() ........................................................ 96

varPop() ...................................................... 96

varSamp() ................................................... 96

when() ........................................................ 96

While .......................................................... 97

“With” ........................................................ 97

xor .............................................................. 97

zInterval ..................................................... 98

zInterval_1Prop .......................................... 98

zInterval_2Prop .......................................... 99

zInterval_2Samp ........................................ 99

zTest ......................................................... 100

zTest_1Prop .............................................. 100

zTest_2Prop .............................................. 101

zTest_2Samp ............................................ 101

Symbols

+ (add) ...................................................... 102

N(subtract) ................................................ 102

·(multiply) ............................................... 103

à (divide) .................................................. 103

^ (power) .................................................. 104

(square) ................................................ 104

.+ (dot add) .............................................. 105

.. (dot subt.) ............................................. 105

·(dot mult.) ............................................ 105

. / (dot divide) .......................................... 105

.^ (dot power) .......................................... 105

ë(negate) .................................................. 106

% (percent) .............................................. 106

= (equal) ................................................... 107

ƒ (not equal) ............................................ 107

< (less than) .............................................. 107

{ (less or equal) ........................................ 108

> (greater than) ....................................... 108

| (greater or equal) ................................. 108

! (factorial) ............................................... 108

& (append) ............................................... 108

‡() (square root) ...................................... 109

Π() (product) ............................................ 109

G() (sum) ................................................... 109

GInt() ......................................................... 110

GPrn() ........................................................ 111

# (indirection) .......................................... 111

í (scientific notation) .............................. 111

g (gradian) ............................................... 112

ô(radian) ................................................... 112

¡ (degree) ................................................. 112

¡, ', '' (degree/minute/second) .................112

 (angle) ...................................................113

10^() ..........................................................113

^ê (reciprocal) ...........................................113

| (“with”) ...................................................114

& (store) ...................................................114

:= (assign) ..................................................114

0b, 0h ........................................................115

Error codes and messages Texas Instruments Support and

Service

TI-Nspire™

This guide lists the templates, functions, commands, and operators available for evaluating math expressions.

Reference Guide

Expression templates

Expression templates give you an easy way to enter math expressions in standard mathematical notation. When you insert a template, it appears on the entry line with small blocks at positions where you can enter elements. A cursor shows which element you can enter.

Use the arrow keys or press

value or expression for the element. Press

Fraction template

Note: See also / (divide), page 103.

e to move the cursor to each element’s position, and type a

· or /· to evaluate the expression.

/p keys

Example:

Exponent template

Note: Type the first value, press l, and then type the

exponent. To return the cursor to the baseline, press right arrow (¢).

Note: See also ^ (power), page 104.

Square root template

Note: See also

Nth root template

Note: See also root(), page 74.

e exponent template

Natural exponential e raised to a power

Note: See also e^(), page 27.

‡

() (square root), page 109.

l key

Example:

/q keys

Example:

/l keys

Example:

u keys

Example:

TI-Nspire™ Reference Guide 1

Log template

Calculates log to a specified base. For a default of base 10, omit the base.

Note: See also log(), page 49.

/s key

Example:

Piecewise template (2-piece)

Lets you create expressions and conditions for a two-piece piecewise function. To add a piece, click in the template and repeat the template.

Note: See also piecewise(), page 64.

Piecewise template (N-piece)

Lets you create expressions and conditions for an N-piece piecewise function. Prompts for N.

Note: See also piecewise(), page 64.

Absolute value template

Note: See also abs(), page 5.

Catalog >

Example:

Catalog >

Example: See the example for Piecewise template (2-piece).

Catalog >

Example:

dd°mm’ss.ss’’ template

Lets you enter angles in dd°mm’ss.ss’’ format, where dd is the number of decimal degrees, mm is the number of minutes, and ss.ss is the number of seconds.

Example:

Catalog >

2 TI-Nspire™ Reference Guide

Matrix template (2 x 2)

Creates a 2 x 2 matrix.

Catalog >

Example:

Matrix template (1 x 2)

Matrix template (2 x 1)

Matrix template (m x n)

The template appears after you are prompted to specify the number of rows and columns.

Note: If you create a matrix with a large number of rows and columns, it may take a few moments to appear.

Sum template (G)

Catalog >

Example:

Catalog >

Example:

Catalog >

Example:

Catalog >

Example:

TI-Nspire™ Reference Guide 3

Product template (Π)

Note: See also Π() (product), page 109.

Catalog >

Example:

4 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 102. Unless otherwise specified, all examples in this section were performed in the default reset mode, and all variables are assumed to be undefined.

abs()

abs(Val u e 1 ) ⇒ value abs(

List1) ⇒ list

abs(Matrix1) ⇒ matrix

Returns the absolute value of the argument.

Note: See also Absolute value template, page 2.

If the argument is a complex number, returns the number’s modulus.

amortTbl()

amortTbl(NPmt,N,I,PV, [Pmt], [FV], [PpY], [CpY], [PmtAt],

roundValue]) ⇒ matrix

[

Amortization function that returns a matrix as an amortization table for a set of TVM arguments.

NPmt is the number of payments to be included in the table. The table starts with the first payment.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table of TVM arguments, page 94.

• If you omit Pmt, it defaults to Pmt=tvmPmt(N,I,PV,FV,PpY,CpY,PmtAt).

• If you omit FV, it defaults to FV=0.

• The defaults for PpY, CpY, and PmtAt are the same as for the TVM functions.

roundValue specifies the number of decimal places for rounding. Default=2.

The columns in the result matrix are in this order: Payment number, amount paid to interest, amount paid to principal, and balance.

The balance displayed in row n is the balance after payment n. You can use the output matrix as input for the other amortization

functions GInt() and GPrn(), page 110, and bal(), page 10.

Catalog

and

BooleanExpr1 and BooleanExpr2 ⇒ Boolean expression BooleanList1 and BooleanList2 ⇒ Boolean list BooleanMatrix1 and BooleanMatrix2 ⇒ Boolean matrix

Returns true or false or a simplified form of the original entry.

Catalog

TI-Nspire™ Reference Guide 5

and

Integer1 and Integer2 ⇒ integer

Compares two real integers bit-by-bit using an Internally, both integers are converted to signed, 64-bit binary numbers. When corresponding bits are compared, the result is 1 if both bits are 1; otherwise, the result is 0. The returned value represents the bit results, and is displayed according to the Base mode.

You can enter the integers in any number base. For a binary or hexadecimal entry, you must use the 0b or 0h prefix, respectively. Without a prefix, integers are treated as decimal (base 10).

If you enter a decimal integer that is too large for a signed, 64-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range.

and operation.

Catalog

In Hex base mode:

Important: Zero, not the letter O.

In Bin base mode:

In Dec base mode:

Note: A binary entry can have up to 64 digits (not counting the

0b prefix). A hexadecimal entry can have up to 16 digits.

angle()

angle(Val u e 1 ) ⇒ value

Returns the angle of the argument, interpreting the argument as a complex number.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

angle(List1) ⇒ list angle(Matrix1) ⇒ matrix

Returns a list or matrix of angles of the elements in List1 or Matrix1, interpreting each element as a complex number that represents a two-dimensional rectangular coordinate point.

ANOVA

ANOVA List1,List2[,List3,...,List20][,Flag]

Performs a one-way analysis of variance for comparing the means of two to 20 populations. A summary of results is stored in the

stat.results variable. (See page 83.) Flag=0 for Data, Flag=1 for Stats

Output variable Description

stat.F Value of the F statistic

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom of the groups

stat.SS Sum of squares of the groups

stat.MS Mean squares for the groups

stat.dfError Degrees of freedom of the errors

Catalog

6 TI-Nspire™ Reference Guide

Output variable Description

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.CLowerList 95% confidence intervals for the mean of each input list

stat.CUpperList 95% confidence intervals for the mean of each input list

ANOVA2way

ANOVA2way List1,List2[,List3,…,List20][,levRow]

Computes a two-way analysis of variance for comparing the means of two to 20 populations. A summary of results is stored in the

stat.results variable. (See page 83.) LevRow=0 for Block

LevRow=2,3,...,Len-1, for Two Factor, where Len=length(List1)=length(List2) = … = length(List10) and Len / LevRow ∈ {2,3,…}

Outputs: Block Design

Output variable Description

stat.FF statistic of the column factor

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom of the column factor

stat.SS Sum of squares of the column factor

stat.MS Mean squares for column factor

stat.FBlock F statistic for factor

stat.PValBlock Least probability at which the null hypothesis can be rejected

stat.dfBlock Degrees of freedom for factor

stat.SSBlock Sum of squares for factor

stat.MSBlock Mean squares for factor

stat.dfError Degrees of freedom of the errors

stat.SSError Sum of squares of the errors

stat.MSError Mean squares for the errors

stat.s Standard deviation of the error

Catalog

COLUMN FACTOR Outputs

Output variable Description

stat.Fcol F statistic of the column factor

TI-Nspire™ Reference Guide 7

Output variable Description

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 squares for column factor

ROW FACTOR Outputs

Output variable Description

stat.FRow F statistic of the row factor

stat.PValRow Probability value of the row factor

stat.dfRow Degrees of freedom of the row factor

stat.SSRow Sum of squares of the row factor

stat.MSRow Mean squares for row factor

INTERACTION Outputs

Output variable Description

stat.FInteract F statistic of the interaction

stat.PValInteract Probability value of the interaction

stat.dfInteract Degrees of freedom of the interaction

stat.SSInteract Sum of squares of the interaction

stat.MSInteract Mean squares for interaction

ERROR Outputs

Output variable Description

stat.dfError Degrees of freedom of the errors

stat.SSError Sum of squares of the errors

stat.MSError Mean squares for the errors

s Standard deviation of the error

Ans

Ans ⇒ value

Returns the result of the most recently evaluated expression.

keys

8 TI-Nspire™ Reference Guide

approx()

approx(Val u e 1 ) ⇒ number

Returns the evaluation of the argument as an expression containing decimal values, when possible, regardless of the current Auto or

Approximate

This is equivalent to entering the argument and pressing

approx(List1) ⇒ list approx(Matrix1) ⇒ matrix

Returns a list or matrix where each element has been evaluated to a decimal value, when possible.

mode.

Catalog

approxRational()

approxRational(Expr[, tol]) ⇒ expression approxRational(List[, tol]) ⇒ list approxRational(Matrix[, tol]) ⇒ matrix

Returns the argument as a fraction using a tolerance of tol. If tol is omitted, a tolerance of 5.E-14 is used.

augment()

augment(List1, List2) ⇒ list

Returns a new list that is List2 appended to the end of List1.

augment(Matrix1, Matrix2) ⇒ matrix

Returns a new matrix that is Matrix2 appended to Matrix1. When the “,” character is used, the matrices must have equal row dimensions, and Matrix2 is appended to Matrix1 as new columns. Does not alter Matrix1 or Matrix2.

Catalog

TI-Nspire™ Reference Guide 9

avgRC()

avgRC(Expr1, Va r [=Value] [, H]) ⇒ expression avgRC(Expr1, Va r [=Value] [, List1]) ⇒ list avgRC(List1, Va r [=Value] [, H]) ⇒ list avgRC(Matrix1, Var [=Value] [, H]) ⇒ matrix

Returns the forward-difference quotient (average rate of change). Expr1 can be a user-defined function name (see Func). When value is specified, it overrides any prior variable assignment or

any current “such that” substitution for the variable. H is the step value. If H is omitted, it defaults to 0.001.

Note that the similar function nDeriv() uses the central-difference quotient.

Catalog

bal()

bal(NPmt,N,I,PV ,[Pmt], [FV], [PpY], [CpY], [PmtAt],

roundValue]) ⇒ value

[

bal(NPmt,amortTable) ⇒ value

Amortization function that calculates schedule balance after a specified payment.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table of TVM arguments, page 94.

NPmt specifies the payment number after which you want the data calculated.

N, I, PV, Pmt, FV, PpY, CpY, and PmtAt are described in the table of TVM arguments, page 94.

• If you omit Pmt, it defaults to Pmt=tvmPmt(N,I,PV,FV,PpY,CpY,PmtAt).

• If you omit FV, it defaults to FV=0.

• The defaults for PpY, CpY, and PmtAt are the same as for the TVM functions.

roundValue specifies the number of decimal places for rounding. Default=2.

bal(NPmt,amortTable) calculates the balance after payment

number NPmt, based on amortization table amortTable. The amortTable argument must be a matrix in the form described under

amortTbl(), page 5.

Note: See also GInt() and GPrn(), page 110.

Base2

Integer1 4Base2 ⇒ integer

Converts Integer1 to a binary number. Binary or hexadecimal numbers always have a 0b or 0h prefix, respectively.

Catalog

10 TI-Nspire™ Reference Guide

Base2

0b binaryNumber 0h hexadecimalNumber

Zero, not the letter O, followed by b or h. A binary number can have up to 64 digits. A hexadecimal number can

have up to 16. Without a prefix, Integer1 is treated as decimal (base 10). The result

is displayed in binary, regardless of the Base mode. If you enter a decimal integer that is too large for a signed, 64-bit

binary form, a symmetric modulo operation is used to bring the value into the appropriate range.

Base10

Integer1 4Base10 ⇒ integer

Converts Integer1 to a decimal (base 10) number. A binary or hexadecimal entry must always have a 0b or 0h prefix, respectively.

0b binaryNumber 0h hexadecimalNumber

Zero, not the letter O, followed by b or h. A binary number can have up to 64 digits. A hexadecimal number can

have up to 16. Without a prefix, Integer1 is treated as decimal. The result is

displayed in decimal, regardless of the Base mode.

Base16

Integer1 4Base16 ⇒ integer

Converts Integer1 to a hexadecimal number. Binary or hexadecimal numbers always have a 0b or 0h prefix, respectively.

0b binaryNumber 0h hexadecimalNumber

Zero, not the letter O, followed by b or h. A binary number can have up to 64 digits. A hexadecimal number can

have up to 16. Without a prefix, Integer1 is treated as decimal (base 10). The result

is displayed in hexadecimal, regardless of the Base mode. If you enter a decimal integer that is too large for a signed, 64-bit

binary form, a symmetric modulo operation is used to bring the value into the appropriate range.

Catalog

binomCdf()

binomCdf(n,p,lowBound,upBound) ⇒ number if lowBound

and

upBound are numbers, list if lowBound and upBound are

lists

binomCdf(

list if upBound is a list

Computes a cumulative probability for the discrete binomial distribution with n number of trials and probability p of success on each trial.

For P(X  upBound), set lowBound=0

n,p,upBound) ⇒ number if upBound is a number,

Catalog

TI-Nspire™ Reference Guide 11

binomPdf()

binomPdf(n,p) ⇒ number binomPdf(n,p,XVal) ⇒ number if XVal is a number, list if

XVal is a list

Computes a probability for the discrete binomial distribution with n number of trials and probability p of success on each trial.

Catalog

ceiling()

ceiling(Val u e 1 ) ⇒ value

Returns the nearest integer that is ‚ the argument.

The argument can be a real or a complex number.

Note: See also floor().

ceiling(List1) ⇒ list ceiling(Matrix1) ⇒ matrix

Returns a list or matrix of the ceiling of each element.

char()

char(Integer) ⇒ character

Returns a character string containing the character numbered Integer from the handheld character set. The valid range for Integer is 0–

65535.

2way

2way obsMatrix

chi22way obsMatrix

Computes a c2 test for association on the two-way table of counts in the observed matrix obsMatrix. A summary of results is stored in the stat.results variable. (See page 83.)

Output variable Description

stat.c2 Chi square stat: sum (observed - expected)2/expected

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom for the chi square statistics

stat.ExpMat Matrix of expected elemental count table, assuming null hypothesis

stat.CompMat Matrix of elemental chi square statistic contributions

Catalog

12 TI-Nspire™ Reference Guide

Cdf()

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, list if lowBound and upBound are lists

Computes the c2 distribution probability between lowBound and upBound for the specified degrees of freedom df.

 upBound), set lowBound = 0.

For P(X

GOF

GOF obsList,expList,df

chi2GOF obsList,expList,df

Performs a test to confirm that sample data is from a population that conforms to a specified distribution. obsList is a list of counts and must contain integers. A summary of results is stored in the stat.results variable. (See page 83.)

Output variable Description

stat.c2 Chi square stat: sum((observed - expected)2/expected

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom for the chi square statistics

stat.CompList Elemental chi square statistic contributions

Pdf()

Pdf(XVal,df) ⇒ number if XVal is a number, list if XVal is a

list

chi2Pdf(

XVal,df) ⇒ number if XVal is a number, list if XVal is

a list

Computes the probability density function (pdf) for the c2 distribution at a specified XVal value for the specified degrees of freedom df.

Catalog

ClearAZ

Catalog

Clears all single-character variables in the current problem space.

TI-Nspire™ Reference Guide 13

ClrErr

Clears the error status and sets system variable errCode to zero.

Else clau se of the Try...Else...EndTry block should use ClrErr

The or

PassErr. If the error is to be processed or ignored, use ClrErr. If

what to do with the error is not known, us e next error handler. If there are no more pendin g Try...Else...EndTry error handlers, the error dialog box will be displayed as normal.

Note: See also PassErr, page 64, and Try , page 91. Note for entering the example: In the Calculator application

on the handheld, you can enter multi-line definitions by pressing

PassErr to send i t to the

@ instead of · at the end of each line. On the computer

keyboard, hold down Alt and press Enter.

For an example of command, page 92.

Catalog

ClrErr, See Example 2 under the Try

colAugment()

colAugment(Matrix1, Matrix2) ⇒ matrix

Returns a new matrix that is Matrix2 appended to Matrix1. The matrices must have equal column dimensions, and Matrix2 is appended to Matrix1 as new rows. Does not alter Matrix1 or Matrix2.

colDim()

colDim(Matrix) ⇒ expression

Returns the number of columns contained in Matrix.

Note: See also rowDim() .

colNorm()

colNorm(Matrix) ⇒ expression

Returns the maximum of the sums of the absolute values of the elements in the columns in Matrix.

Note: Undefined matrix elements are not allowed. See also rowNorm().

conj()

conj(Val u e 1 ) ⇒ value conj(List1) ⇒ list conj(Matrix1) ⇒ matrix

Returns the complex conjugate of the argument.

Catalog

14 TI-Nspire™ Reference Guide

constructMat()

constructMat(Expr,Var 1 ,Var 2 ,numRows,numCols)

⇒ matrix

Returns a matrix based on the arguments. Expr is an expression in variables Va r 1 and Va r 2 . Elements in the

resulting matrix are formed by evaluating Expr for each incremented value of Var 1 and Va r 2.

Var 1 is automatically incremented from each row, Va r2 is incremented from 1 through numCols.

1 through numRows. Within

Catalog

CopyVar

CopyVar Var 1 , Va r 2 CopyVar Var 1 ., Va r2 .

CopyVar Var 1 , Va r2 copies the value of variable Va r 1 to variable

Var 2 , creating Va r 2 if necessary. Variable Va r1 must have a value. If Var 1 is the name of an existing user-defined function, copies the

definition of that function to function Va r 2. Function Va r 1 must be defined.

Var 1 must meet the variable-naming requirements or must be an indirection expression that simplifies to a variable name meeting the requirements.

CopyVar Var 1 ., Va r 2. copies all members of the Va r 1 . variable

group to the Var 2 . group, creating Var 2 . if necessary. Var 1 . must be the name of an existing variable group, such as the

statistics stat.nn results, or variables created using the

LibShortcut() function. If Var 2 . already exists, this command

replaces all members that are common to both groups and adds the members that do not already exist. If a simple (non-group) variable named Va r2 exists, an error occurs.

corrMat()

corrMat(List1,List2[,…[,List20]])

Computes the correlation matrix for the augmented matrix [List1, List2, ..., List20].

Catalog

TI-Nspire™ Reference Guide 15

cos()

cos(Val u e 1 ) ⇒ value cos(List1) ⇒ list

cos(Val u e 1 ) returns the cosine of the argument as a value. cos(List1) returns a list of the cosines of all elements in List1. Note: The argument is interpreted as a degree, gradian or radian

angle, according to the current angle mode setting. You can us e ó,G, or ôto override the angle mode temporarily.

n key

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

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 calculated by the algorithm:

Compute the eigenvalues (li) and eigenvectors (Vi) of A.

squareMatrix1 must be diagonalizable. Also, it cannot have symbolic variables that have not been assigned a value.

Form the matrices:

Then A = X B Xêand f(A) = X f(B) Xê. For example, cos(A) = X cos(B) Xê where:

cos(B) =

All computations are performed using floating-point arithmetic.

In Radian angle mode:

16 TI-Nspire™ Reference Guide

cosê()

cosê(Va lu e 1 ) ⇒ value cosê(List1) ⇒ list

/n keys

In Degree angle mode:

cosê(Va lu e 1 ) returns the angle whose cosine is Va lu e 1 .

cosê(List1) returns a list of the inverse cosines of each element of

List1.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

cosê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse cosine of squareMatrix1. This is not the same as calculating the inverse cosine of each element. For information about the calculation method, refer to cos().

squareMatrix1 must be diagonalizable. The result always contains floating-point numbers.

cosh()

cosh(Va lu e 1 ) ⇒ value cosh(List1) ⇒ list

cosh(Va lu e 1 ) returns the hyperbolic cosine of the argument. cosh(List1) returns a list of the hyperbolic cosines of each element o f

List1.

cosh(squareMatrix1) ⇒ squareMatrix

Returns the matrix hyperbolic cosine 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 diagonalizable. The result always contains floating-point numbers.

In Gradian angle mode:

In Radian angle mode:

In Radian angle mode and Rectangular Complex Format:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

Catalog

In Radian angle mode:

coshê()

coshê(Va lu e 1 ) ⇒ value coshê(List1) ⇒ list

cosh

(Va lu e 1 ) returns the inverse hyperbolic cosine of the

argument.

cosh

(List1) returns a list of the inverse hyperbolic cosines of each

element of List1.

Catalog

TI-Nspire™ Reference Guide 17

coshê()

coshê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse hyperbolic cosine of squareMatrix1. This is not the same as calculating the inverse hyperbolic cosine of each element. For information about the calculation method, refer to

cos().

squareMatrix1 must be diagonalizable. The result always contains floating-point numbers.

Catalog

In Radian angle mode and In Rectangular Complex Format:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

cot()

cot(Val u e 1 ) ⇒ value cot(List1) ⇒ list

Returns the cotangent of Val u e1 or returns a list of the cotangents of all elements in List1.

Note: The argument is interpreted as a degree, gradian or radian

angle, according to the current angle mode setting. You can us e ó,G, orôto override the angle mode temporarily.

cotê()

cotê(Va lu e 1 ) ⇒ value cotê(List1) ⇒ list

Returns the angle whose cotangent is Va l ue 1 or returns a list containing the inverse cotangents of each element of List1.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

coth()

coth(Val u e 1 ) ⇒ value coth(List1) ⇒ list

Returns the hyperbolic cotangent of Va l ue 1 or returns a list of the hyperbolic cotangents of all elements of List1.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

Catalog

cothê()

cothê(Va lu e 1 ) ⇒ value cothê(List1) ⇒ list

Returns the inverse hyperbolic cotangent of Va l u e1 or returns a list containing the inverse hyperbolic cotangents of each element of List1.

Catalog

18 TI-Nspire™ Reference Guide

count()

count(Val u e 1 or L i s t1 [,Value2orList2 [,...]]) ⇒ value

Returns the accumulated count of all elements in the arguments that evaluate to numeric values.

Each argument can be an expression, value, list, or matrix. You can mix data types and use arguments of various dimensions.

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.

Catalog

countif()

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 counts only those elements in List that simplify to the value 3.

• A Boolean expression containing the symbol ? as a placeholder for each element. For example, ?<5 counts only those elements in List that are less than 5.

Within the Lists & Spreadsheet application, you can use a range of cells in place of List.

Note: See also sumIf(), page 87, and frequency(), page 33.

crossP()

crossP(List1, List2) ⇒ list

Returns the cross product of List1 and List2 as a list. List1 and List2 must have equal dimension, and the dimension must

be either 2 or 3.

crossP(Vector1, Vector2) ⇒ vector

Returns a row or column vector (depending on the arguments) that is the cross product of Vector1 and Vector2.

Both Vector1 and Vector2 must be row vectors, or both must be column vectors. Both vectors must have equal dimension, and the dimension must be either 2 or 3.

Counts the number of elements equal to 3.

Counts the number of elements equal to “def.”

Counts 1 and 3.

Counts 3, 5, and 7.

Counts 1, 3, 7, and 9.

Catalog

TI-Nspire™ Reference Guide 19

csc()

csc(Val u e 1 ) ⇒ value csc(List1) ⇒ list

Returns the cosecant of Va lu e 1 or returns a list containing the cosecants of all elements in List1.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

Catalog

cscê()

cscê(Va l ue 1 ) ⇒ value cscê(List1) ⇒ list

Returns the angle whose cosecant is Va l ue 1 or returns a list containing the inverse cosecants of each element of List1.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

csch()

csch(Val u e 1 ) ⇒ value csch(List1) ⇒ list

Returns the hyperbolic cosecant of Va lu e 1 or returns a list of the hyperbolic cosecants of all elements of List1.

cschê()

cschê(Val u e ) ⇒ value cschê(List1) ⇒ list

Returns the inverse hyperbolic cosecant of Va l u e1 or returns a list containing the inverse hyperbolic cosecants of each element of List1.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

Catalog

20 TI-Nspire™ Reference Guide

CubicReg

CubicReg X, Y[, [Freq] [, Category, Include]]

Catalog

Computes the cubic polynomial regression y = a·x3+b· x2+c·x+d on lists X and Y with frequency Freq. A summary of

results is stored in the stat.results variable. (See page 83.) All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

stat.a, stat.b, stat.c, stat.d

stat.R

Regression equation: a·x3+b·x2+c·x+d

Regression coefficients

Coefficient of determination

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

Category List, and Include Categories

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

cumSum()

cumSum(List1) ⇒ list

Returns a list of the cumulative sums of the elements in List1, starting at element 1.

cumSum(Matrix1) ⇒ matrix

Returns a matrix of the cumulative sums of the elements in Matrix1. Each element is the cumulative sum of the column from top to bottom.

Catalog

TI-Nspire™ Reference Guide 21

Cycle

Transfers control immediately to the next iteration of t he current loop

For, While, or Loop).

(

Cycle is not allowed outside the three looping structures (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

Function listing that sums the integers from 1 to 100 skipping

50.

4Cylind

Vec t o r 4Cylind

Displays the row or column vector in cylindrical form [r,q, z].

Vec t o r must have exactly three elements. It can be either a row or a column.

dbd()

dbd(date1,date2) ⇒ value

Returns the number of days between date1 and date2 using the actual-day-count method.

date1 and date2 can be numbers or lists of numbers within the range of the dates on the standard calendar. If both date1 and date2 are lists, they must be the same length.

date1 and date2 must be between the years 1950 through 2049. You can enter the dates in either of two formats. The decimal

placement differentiates between the date formats. MM.DDYY (format used commonly in the United States)

DDMM.YY (format use commonly in Europe)

Catalog

22 TI-Nspire™ Reference Guide

4DD

4DD ⇒ value

Expr1 List1 4DD ⇒ list Matrix1

4DD ⇒ matrix

Returns the decimal equivalent of the argument expresse d in degrees. The argument is a number, list, or matrix that is interpreted by the Angle mode setting in gradians, radians or degrees.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

Catalog

4Decimal

Number1

4Decimal

List1

Decimal

Matrix1

Displays the argument in decimal form. This operator can be used only at the end of the entry line.

Define

Define Var = Expression Define Function(Param1, Param2, ...) = Expression

Defines the variable Var or the user-defined function Function. Parameters, such as Param1, provide placeholders for passing

arguments to the function. When calling a user-defined function, you must supply arguments (for example, values or variables) that correspond to the parameters. When called, the function evaluates

Expression using the supplied arguments. Var and Function cannot be the name of a system variable or built -in

function or command.

Note: This form of Define is equivalent to executing the

expression: expression & Function(Param1,Param2).

⇒ value

Catalog

TI-Nspire™ Reference Guide 23

Define

Define Function(Param1, Param2, ...) = Func

Block

EndFunc

Program(Param1, Param2, ...) = Prgm

Define

Block

EndPrgm

In this form, the user-defined function or program can execute a block of multiple statements.

Block can be either a single statement or a series of statements on separate lines. Block also can include expressions and 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

keyboard, hold down Alt and press Enter.

Note: See also Define LibPriv, page 24, and Define LibPub,

page 24.

Catalog

Define LibPriv

Define LibPriv Var = Expression Define LibPriv Function(Param1, Param2, ...) = Expression

Define LibPriv Function(Param1, Param2, ...) = Func

Block

EndFunc Define LibPriv

EndPrgm

Operates the same as Define, except defines a private library variable, function, or program. Private functions and progr ams do not appear in the Catalog.

Note: See also Define, page 23, and Define LibPub, page 24.

Program(Param1, Param2, ...) = Prgm

Block

Define LibPub

Define LibPub Var = Expression Define LibPub Function(Param1, Param2, ...) = Expression

Define LibPub Function(Param1, Param2, ...) = Func

Block

EndFunc Define LibPub

EndPrgm

Operates the same as Define, except defines a public library variable, function, or program. Public functions and programs appear in the Catalog after the library has been saved and refreshed.

Note: See also Define, page 23, and Define LibPriv, page 24.

Program(Param1, Param2, ...) = Prgm

Block

Catalog

24 TI-Nspire™ Reference Guide

DelVar

DelVar Var 1 [, Va r 2] [, Va r 3 ] ... DelVar Var .

Deletes the specified variable or variable group from memory.

DelVar Var . deletes all members of the Va r . variable group (such as

the statistics stat.nn results or variables created using the

LibShortcut() function). The dot (.) in this form of the DelVar

command limits it to deleting a variable group; the simple variable Var is not affected.

Catalog

det()

det(squareMatrix[, Tolerance]) ⇒ expression

Returns the determinant of squareMatrix. Optionally, any matrix element is treated as zero if its absolute value

is less than Tolerance. This tolerance is used only if the matrix has floating-point entries and does not contain any symbolic variables that have not been assigned a value. Otherwise, Tolerance is ignored.

• If you use

•If Tolerance is omitted or not used, the default tolerance is

diag()

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) ⇒ rowMatrix

Returns a row matrix containing the elements from the main diagonal of squareMatrix.

squareMatrix must be square.

mode to Approximate, computations are done using floatingpoint arithmetic.

calculated as:

5EM14 ·max(dim(squareMatrix))·

rowNorm(squareMatrix)

· or set the Auto or Approximate

Catalog

TI-Nspire™ Reference Guide 25

dim()

dim(List) ⇒ integer

Returns the dimension of List.

dim(Matrix) ⇒ list

Returns the dimensions of matrix as a two-element list {rows, columns}.

dim(Strin g) ⇒ integer

Returns the number of characters contained in character string Strin g.

Catalog

Disp

Disp [exprOrString1] [, exprOrString2] ...

Displays the arguments in the Calculator history. The arguments are displayed in succession, with thin spaces as separators.

Useful mainly in programs and functions to ensure the display of intermediate calculations.

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.

4DMS

Val u e 4DMS List 4DMS Matrix 4DMS

Interprets the argument as an angle and displays the equivalent DMS (DDDDDD¡MM'SS.ss'') number. See ¡, ', '' on page 112 for DMS

(degree, minutes, seconds) format.

Note: 4DMS will convert from radians to degrees when used in

radian mode. If the input is followed by a degree symbol ¡ , no conversion will occur. You can use 4DMS only at the en d of an entry line.

In Degree angle mode:

Catalog

dotP()

dotP(List1, List2) ⇒ expression

Returns the “dot” product of two lists.

dotP(Vector1, Vector2) ⇒ expression

Returns the “dot” product of two vectors. Both must be row vectors, or both must be column vectors.

Catalog

26 TI-Nspire™ Reference Guide

e^()

e^(Val u e 1 ) ⇒ value

Returns e raised to the Val u e 1 power.

Note: See also e exponent template, page 1. Note: Pressing u to display

character E on the keyboard.

You can enter a complex number in re form in Radian angle mode only; it causes a Domain error in Degree or Gradian angle mode.

e^(List1) ⇒ list

Returns e raised to the power of each element in List1.

e^(squareMatrix1) ⇒ squareMatrix

Returns the matrix exponential of squareMatrix1. This is not the same as 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.

eff()

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.

nominalRate must be a real number, and CpY must be a real number > 0.

Note: See also nom(), page 59.

eigVc()

eigVc(squareMatrix) ⇒ matrix

Returns a matrix containing the eigenvectors for a real or complex squareMatrix, where each column in the result corresponds to an eigenvalue. Note that an eigenvector is not unique; it may be scaled by any constant factor. The eigenvectors are normalized, meaning that if V = [x1, x2, … , xn], then:

+ … + x

squareMatrix is first balanced with similarity transformations until the row and column norms are as close to the same va lue as possible. The squareMatrix is then reduced to upper Hessenberg form and the eigenvectors are computed via a Schur factorization.

= 1

^( is different from pressing the

i q

polar form. However, use this

u key

Catalog

In Rectangular Complex Format:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

TI-Nspire™ Reference Guide 27

eigVl()

eigVl(squareMatrix) ⇒ list

Returns a list of the eigenvalues of a real or complex squareMatrix. squareMatrix is first balanced with similarity transformations until

the row and column norms are as close to the same va lue as possible. The squareMatrix is then reduced to upper Hessenberg form and the eigenvalues are computed from the upper Hessenberg matrix.

Else See If, page 39.

In Rectangular complex format mode:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

Catalog

ElseIf

If BooleanExpr1 Then

Block1

ElseIf BooleanExpr2 Then

Block2

BlockN

EndIf

Note for entering the example: In the Calculator application

on the handheld, you can enter multi-line definitions by pressing

Catalog

@ instead of · at the end of each line. On the computer

keyboard, hold down Alt and press Enter.

EndFor See For, page 32.

EndFunc See Func, page 34.

EndIf See If, page 39.

EndLoop See Loop, page 51.

EndPrgm See Prgm, page 66.

EndTry See Try, page 91.

28 TI-Nspire™ Reference Guide

EndWhile See While, page 97.

Exit

Exits the current For, While, or Loop block.

Exit is not allowed outside the three looping structures (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.

exp()

exp(Val u e 1 ) ⇒ value

Returns e raised to the Val u e 1 power.

Note: See also e exponent template, page 1.

You can enter a complex number in re form in Radian angle mode only; it causes a Domain error in Degree or Gradian angle mode.

exp(List1) ⇒ list

Returns e raised to the power of each element in List1.

exp(squareMatrix1) ⇒ squareMatrix

Returns the matrix exponential of squareMatrix1. This is not the same as 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.

i q

polar form. However, use this

Function listing:

Catalog

u key

expr()

expr(Stri ng) ⇒ expression

Returns the character string contained in Stri ng as an expression and immediately executes it.

Catalog

TI-Nspire™ Reference Guide 29

ExpReg

ExpReg X, Y [, [Freq] [, Category, Include]]

Computes the exponential regression y = a·(b)xon lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See page 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

stat.a, stat.b Regression coefficients

stat.r

stat.r Correlation coefficient for transformed data (x, ln(y))

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 based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Regression equation: a·(b)

Coefficient of linear determination for transformed data

Category List, and Include Categories

Catalog

factor()

factor(rationalNumber) returns the rational number factored into

primes. For composite numbers, the computing time grows exponentially with the number of digits in the second-largest factor. For example, factoring a 30-digit integer could take more than a day, and factoring a 100-digit number could take more than a century.

Note: To stop (break) a computation, press w.

If you merely want to determine if a number is prime, use isPrime() instead. It is much faster, particularly if rationalNumber is not prime and if the second-largest factor has more than five digits.

30 TI-Nspire™ Reference Guide

Catalog

FCdf()

FCdf(lowBound,upBound,dfNumer,dfDenom) ⇒ number if

lowBound and upBound are numbers, list if lowBound and upBound are lists

FCdf(lowBound,upBound,dfNumer,dfDenom) ⇒ number if

lowBound and upBound are numbers, list if lowBound and upBound are lists

Computes the F distribution probability between lowBound and upBound for the specified dfNumer (degrees of freedom) and dfDenom.

 upBound), set lowBound = 0.

For P(X

Catalog

Fill

Fill Value, matrixVar ⇒ matrix

Replaces each element in variable matrixVar with Val u e. matrixVar must already exist.

Fill Value, listVar ⇒ list

Replaces each element in variable listVar with Val u e. listVar must already exist.

FiveNumSummary

FiveNumSummary X[,[Freq][,Category,Include]]

Provides an abbreviated version of the 1-variable statistics on list X. A summary of results is stored in the stat.results variable. (See page

83.)

X represents a list containing the data. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X value. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X values.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.MinX Minimum of x values.

stat.Q1X 1st Quartile of x.

stat.MedianX Median of x.

stat.Q3X 3rd Quartile of x.

stat.MaxX Maximum of x values.

Catalog

TI-Nspire™ Reference Guide 31

floor()

floor(Val u e 1 ) ⇒ integer

Returns the greatest integer that is { the argument. This function is identical to int().

The argument can be a real or a complex number.

floor(List1) ⇒ list floor(Matrix1) ⇒ matrix

Returns a list or matrix of the floor of each element.

Note: See also ceiling() and int().

Catalog

For

For Var , Low, High [, St ep]

Block

EndFor

Executes the statements in Block iteratively for each value of Va r , from Low to High, in increments of Step.

Var must not be a system variable. Step can be positive or negative. The default value is 1. Block can be either a single statement or a series 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

keyboard, hold down Alt and press Enter.

format()

format(Val u e [, formatString]) ⇒ string

Returns Val u e as a character string based on the format template. formatString is a string and must be in the form: “F[n]”, “S[n]”,

“E[n]”, “G[n][c]”, where [ ] indicate optional portions. F[n]: Fixed format. n is the number of digits to display after the

decimal point. S[n]: Scientific format. n is the number of digits to display after the

decimal point. E[n]: Engineering format. n is the number of digits after the first

significant digit. The exponent is adjusted to a multiple of three, and the decimal point is moved to the right by zero, one, or two digits.

G[n][c]: Same as fixed format but also separates digits to the left of the radix into groups of three. c specifies the group separator character and defaults to a comma. If c is a period, the radix will be shown as a comma.

[Rc]: Any of the above specifiers may be suffixed with the Rc radix flag, where c is a single character that specifies what to substitute for the radix point.

Catalog

32 TI-Nspire™ Reference Guide

fPart()

fPart(Expr1) ⇒ expression fPart(List1) ⇒ list fPart(Matrix1) ⇒ matrix

Returns the fractional part of the argument. For a list or matrix, returns the fractional parts of the elements. The argument can be a real or a complex number.

Catalog

FPdf()

FPdf(XVal,dfNumer,dfDenom) ⇒ number if XVal is a number,

list if XVal is a list

Computes the F distribution probability at XVal for the specified dfNumer (degrees of freedom) and dfDenom.

freqTable4list()

freqTable4list(List1,freqIntegerList) ⇒ list

Returns a list containing the elements from List1 expanded according to the frequencies in freqIntegerList. This function can be used for building a frequency table for the Data & Statistics application.

List1 can be any valid list. freqIntegerList must have the same dimension as List1 and must

contain non-negative integer elements only. Each element specifies the number of times the corresponding List1 element will be repeated in the result list. A value of zero excludes the corresponding List1 element.

frequency()

frequency(List1,binsList) ⇒ list

Returns a list containing counts of the elements in List1. The counts are based on ranges (bins) that you define in binsList.

If binsList is {b(1), b(2), …, b(n)}, the specified ranges are {?{b(1), b(1)<?{b(2),…,b(n-1)<?{b(n), b(n)>?}. The resulting list is one element longer than binsList.

Each element of the result corresponds to the number of elements from List1 that are in the range of that bin. Expressed in terms of the

countIf() function, the result is { countIf(list, ?{b(1)), countIf(list,

b(1)<?{b(2)), …, countIf(list, b(n-1)<?{b(n)), countIf(list, b(n)>?)}.

Elements of List1 that cannot be “placed in a bin” are ignored. Within the Lists & Spreadsheet application, you can use a range of

cells in place of both arguments.

Note: See also countIf(), page 19.

Catalog

Explanation of result:

2 elements from Datalist are {2.5 4 elements from Datalist are >2.5 and {4.5 3 elements from Datalist are >4.5

The element "hello" is a string and cannot be placed in any of the defined bins.

TI-Nspire™ Reference Guide 33

FTest_2Samp

FTest_2Samp List1,List2[,Freq1[,Freq2[,Hypoth]]]

FTest_2Samp

(Data list input)

List1,List2[,Freq1[,Freq2[,Hypoth]]]

FTest_2Samp sx1,n1,sx2,n2[,Hypoth]

FTest_2Samp

(Summary stats input)

Performs a two-sample stat.results variable. (See page 83.)

For Ha: s1 > s2, set Hypoth>0 For Ha: s1 ƒ s2 (default), set Hypoth =0 For Ha: s1 < s2, set Hypoth<0

Output variable Description

stat.F

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.dfNumer numerator degrees of freedom = n1-1

stat.dfDenom denominator degrees of freedom = n2-1

stat.sx1, stat.sx2 Sample standard deviations of the data sequences in List 1 and List 2

stat.x1_bar stat.x2_bar

stat.n1, stat.n2 Size of the samples

sx1,n1,sx2,n2[,Hypoth]

F test. A summary of results is stored in the

Calculated ó statistic for the data sequence

Sample means of the data sequences in List 1 and List 2

Catalog

Func

Block

EndFunc

Template for creating a user-defined function. Block can be a single statement, a series of statements separated

with the “:” character, or a series of statements on separate lines. The function can use 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.

Define a piecewise function:

Result of graphing g(x)

Catalog

34 TI-Nspire™ Reference Guide

gcd()

gcd(Number1, Number2) ⇒ expression

Returns the greatest common divisor of the two arguments. The of two fractions is the gcd of their numerators divided by the lcm of their denominators.

In Auto or Approximate mode, the gcd of fractional floating-point numbers is 1.0.

gcd(List1, List2) ⇒ list

Returns the greatest common divisors of the corresponding elements in List1 and List2.

gcd(Matrix1, Matrix2) ⇒ matrix

Returns the greatest common divisors of the corresponding elements in Matrix1 and Matrix2.

geomCdf()

geomCdf(p,lowBound,upBound) ⇒ number if lowBound and

upBound are numbers, list if lowBound and upBound are lists

geomCdf(

p,upBound) ⇒ number if upBound is a number, list

upBound is a list

Computes a cumulative geometric probability from lowBound to upBound with the specified probability of success p.

For P(X  upBound), set lowBound = 1.

geomPdf()

geomPdf(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, for the discrete geometric distribution with the specified probability of success p.

gcd

Catalog

getDenom( )

getDenom(Fraction1) ⇒ value

Transforms the argument into an expression having a reduced common denominator, and then returns its denominator.

Catalog

TI-Nspire™ Reference Guide 35

getLangInfo( )

getLangInfo() ⇒ string

Returns a string that corresponds to the short name of the currently active language. You can, for example, use it in a program or function to determine the current language.

English = "en" Danish = "da" German = "de" Finnish = "fi" French = "fr" Italian = "it" Dutch = "nl" Belgian Dutch = "nl_BE" Norwegian = "no" Portuguese = "pt" Spanish = "es" Swedish = "sv"

Catalog

getMode()

getMode(ModeNameInteger) ⇒ value getMode(0) ⇒ list

getMode(ModeNameInteger) returns a value representing the

current setting of the ModeNameInteger mode.

getMode(0) returns a list containing number pairs. Each pair

consists of a mode integer and a setting integer. For a listing of the modes and their settings, refer to the table below.

If you save the settings with getMode(0) & var, you can use

setMode(var) in a function or program to temporarily restore the

settings within the execution of the function or program only. See

setMode(), page 77.

Mode Name

Display Digits

Angle

Exponential Format

Real or Complex

Auto or Approx.

Vector Format

Base

Mode IntegerSetting Integers

=Float, 2=Float1, 3=Float2, 4=Float3, 5=Float4, 6=Float5, 7=Float6, 8=Float7,

9=Float8, 10=Float9, 11=Float10, 12=Float11, 13=Float12, 14=Fix0, 15=Fix1, 16=Fix2, 17=Fix3, 18=Fix4, 19=Fix5, 20=Fix6, 21=Fix7, 22=Fix8, 23=Fix9, 24=Fix10, 25=Fix11, 26=Fix12

=Radian, 2=Degree, 3=Gradian

=Normal, 2=Scientific, 3=Engineering

=Real, 2=Rectangular, 3=Polar

=Auto, 2=Approximate

=Rectangular, 2=Cylindrical, 3=Spherical

=Decimal, 2=Hex, 3=Binary

Catalog

36 TI-Nspire™ Reference Guide

getNum()

getNum(Fraction1) ⇒ value

Transforms the argument into an expression having a reduced common denominator, and then returns its numerator.

Catalog

getVarInfo()

getVarInfo() ⇒ matrix or string getVarInfo(LibNameString) ⇒ matrix or string

getVarInfo() returns a matrix of information (variable name, type,

and library accessibility) for all variables and library objects defined in the current problem.

If no variables are defined, getVarInfo() returns the string "NONE".

getVarInfo(LibNameString) returns a matrix of information for

all library objects defined in library LibNameString. LibNameString must be a string (text enclosed in quotation marks) or a string variable.

If the library LibNameString does not exist, an error occurs.

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 in those rows (variable b, for example) revaluates to a matrix.

This error could also occur when using Ans to reevaluate a

getVarInfo() result.

The system gives the above error because the current version of the software does not support a generalized matrix structure where an element of a matrix can be either a matrix or a list.

Catalog

TI-Nspire™ Reference Guide 37

Goto

Goto labelName

Transfers control to the label labelName. labelName must be defined in the same function using a

instruction.

Note for entering the example: In the Calculator application

on the handheld, you can enter multi-line definitions by pressing

Lbl

@ instead of · at the end of each line. On the computer

keyboard, hold down Alt and press Enter.

Catalog

4Grad

Expr1 4 Grad ⇒ expression

Converts Expr1 to gradian angle measure.

identity()

identity(Integer) ⇒ matrix

Returns the identity matrix with a dimension of Integer. Integer must be a positive integer.

In Degree angle mode:

In Radian angle mode:

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38 TI-Nspire™ Reference Guide

If BooleanExpr Statement If BooleanExpr Then

Block

EndIf

If BooleanExpr evaluates to true, executes the single statement Statement or the block of statements Block before continuing

execution. If BooleanExpr evaluates to false, continues execution without

executing the statement or block of statements. Block can be either a single statement or 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

keyboard, hold down Alt and press Enter.

If BooleanExpr Then

Block1

Else

Block2

EndIf

If BooleanExpr evaluates to true, executes Block1 and then skips Block2.

If BooleanExpr evaluates to false, skips Block1 but executes Block2.

Block1 and Block2 can be a single statement.

If BooleanExpr1 Then

Block1

ElseIf

BooleanExpr2 Then

Block2

BooleanExprN Then

ElseIf

BlockN

EndIf

Allows for branching. If BooleanExpr1 evaluates to true, executes Block1. If BooleanExpr1 evaluates to false, evaluates BooleanExpr2, etc.

Catalog

TI-Nspire™ Reference Guide 39

ifFn()

ifFn(BooleanExpr,Value_If_true [,Value_If_false

Value_If_unknown]]) ⇒ expression, list, or matrix

Evaluates the boolean expression BooleanExpr (or each element from BooleanExpr ) and produces a result based on the following rules:

• BooleanExpr can test a single value, a list, or a matrix.

• If an element of BooleanExpr evaluates to true, returns the corresponding element from Value_If_true.

• If an element of BooleanExpr evaluates to false, returns the corresponding element from Value_If_false. If you omit Value_If_false, returns undef.

• If an element of BooleanExpr is neither true nor false, returns the corresponding element Value_If_unknown. If you omit Value_If_unknown, returns undef.

• If the second, third, or fourth argument of the a single expression, the Boolean test is applied to every position in BooleanExpr.

Note: If the simplified BooleanExpr statement involves a list or

matrix, all other list or matrix arguments must have the same dimension(s), and the result will have the same dimension(s).

ifFn() function is

Catalog

Test va lue o f 1 is less than 2.5, so its corresponding Value_If_True element of 5 is copied to the result list.

Test va lue o f 2 is less than 2.5, so its corresponding Value_If_True element of 6 is copied to the result list.

Test va lue o f 3 is not less than 2.5, so its corresponding

Value_If_False element of 10 is copied to the result list.

Value_If_true is a single value and cor responds to any selected

position.

Value_If_false is not specified. Undef is used.

One element selected from Value_If_true. One element selected from Value_If_unknown.

imag()

imag(Va l ue 1 ) ⇒ value

Catalog

Returns the imaginary part of the argument.

imag(List1) ⇒ list

Returns a list of the imaginary parts of the elements.

imag(Matrix1) ⇒ matrix

Returns a matrix of the imaginary parts of the elements.

Indirection See #(), page 111.

inString()

inString(srcString, subString[, Start]) ⇒ integer

Returns the character position in string srcString at which the first occurrence of string subString begins.

Start, if included, specifies the character position within srcString where the search begins. Default = 1 (the first character of srcString).

If srcString does not contain subString or Start is > the length of srcString, returns zero.

Catalog

40 TI-Nspire™ Reference Guide

int()

int(Va l ue ) ⇒ integer int(List1) ⇒ list int(Matrix1) ⇒ matrix

Returns the greatest integer that is less than or equal to the argument. This function is identical to

floor().

The argument can be a real or a complex number. For a list or matrix, returns the greatest integer of each of the

elements.

Catalog

intDiv()

intDiv(Number1, Number2) ⇒ integer intDiv(List1, List2) ⇒ list intDiv(Matrix1, Matrix2) ⇒ matrix

Returns the signed integer part of (Number1 ÷ Number2). For lists and matrices, returns the signed integer part of

(argument 1 ÷ argument 2) for each element pair.

invc2()

invc2(Area,df)

Area,df)

invChi2(

Computes the Inverse cumulative c2 (chi-square) probability function specified by degree of freedom, df for a given Area under the curve.

invF()

invF(Area,dfNumer,dfDenom)

Area,dfNumer,dfDenom)

invF(

computes the Inverse cumulative F distribution function specified by dfNumer and dfDenom for a given Area under the curve.

invNorm()

invNorm(Area[,m[,s]])

Computes the inverse cumulative normal distribution function 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.

Catalog

iPart()

iPart(Number) ⇒ integer iPart(List1) ⇒ list iPart(Matrix1) ⇒ matrix

Catalog

Returns the integer part of the argument. For lists and matrices, returns the integer part of each element. The argument can be a real or a complex number.

TI-Nspire™ Reference Guide 41

irr()

irr(CF0,CFList [,CFFreq]) ⇒ value

Financial function that calculates internal rate of return of an investment.

CF0 is the initial cash flow at time 0; it must be a real number. CFList is a list of cash flow amounts after the initial cash flow CF0. CFFreq is an optional list in which each element specifies the

frequency of occurrence for a grouped (consecutive) cash flow amount, which is the corresponding element of CFList. The default is 1; if you enter values, they must be positive integers < 10,000.

Note: See also mirr(), page 55.

Catalog

isPrime()

isPrime(Number) ⇒ Boolean constant expression

Returns true or false to indicate if number is a whole number ‚ 2 that is evenly divisible only by itself and 1.

If Number exceeds about 306 digits and has no factors {1021,

isPrime(Number) displays an error message. 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.

Lbl

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 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

keyboard, hold down Alt and press Enter.

Catalog

Function to find the next prime after a specified number:

Catalog

42 TI-Nspire™ Reference Guide

lcm()

lcm(Number1, Number2) ⇒ expression lcm(List1, List2) ⇒ list lcm(Matrix1, Matrix2) ⇒ matrix

Returns the least common multiple of the two arguments. The two fractions is the lcm of their numerators divided by the gcd of their denominators. The their product.

For two lists or matrices, returns the least common multiples of the corresponding elements.

lcm of fractional floating-point numbers is

lcm of

Catalog

left()

left(sourceString[, Num]) ⇒ string

Returns the leftmost Num characters contained in character string sourceString.

If you omit Num, returns all of sourceString.

left(List1[, Num]) ⇒ list

Returns the leftmost Num elements contained in List1. If you omit Num, returns all of List1.

left(Comparison) ⇒ expression

Returns the left-hand side of an equation or inequality.

libShortcut()

libShortcut(LibNameString, ShortcutNameString [, LibPrivFlag]) ⇒ list of variables

Creates a variable group in the current problem that contains references to all the objects in the specified library document libNameString. Also adds the group members to the Variables menu. You can then refer to each object using its ShortcutNameString.

Set LibPrivFlag=0 to exclude private library objects (default) Set LibPrivFlag=1 to include private library objects

To copy a variable group, see CopyVar on page 15. To delete a variable group, see DelVar on page 25.

Catalog

This example assumes a properly stored and refreshed library document named linalg2 that contains objects defined as clearmat, gauss1, and gauss2.

TI-Nspire™ Reference Guide 43

LinRegBx

LinRegBx X,Y[,[Freq][,Category,Include]]

Computes the linear regression y = a+b·x on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See page 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

stat.a, stat.b Regression coefficients

stat.r

stat.r Correlation coefficient

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.FreqReg and stat.YReg

Regression Equation: a+b·x

Coefficient of determination

Category List, and Include Categories

Catalog

LinRegMx

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 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

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44 TI-Nspire™ Reference Guide

Output variable Description

stat.RegEqn

stat.m, stat.b Regression coefficients

stat.r

stat.r Correlation coefficient

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Regression Equation: m

Coefficient of determination

Category List, and Include Categories

·x+b

LinRegtIntervals

LinRegtIntervals X,Y[,Freq[,0[,CLev]]]

For Slope. Computes a level C confidence interval for the slope.

LinRegtIntervals X,Y[,Freq[,1,Xval[,CLev]]]

For Response. Computes a predicted y-value, a level C prediction interval for a single observation, and a level C confidence interval for the mean response.

A summary of results is stored in the stat.results variable. (See page

83.) All the lists must have equal dimension.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Output variable Description

stat.RegEqn

stat.a, stat.b Regression coefficients

stat.df Degrees of freedom

stat.r

stat.r Correlation coefficient

stat.Resid Residuals from the regression

For Slope type only

Regression Equation: a+b·x

Coefficient of determination

Catalog

Output variable Description

[stat.CLower, stat.CUpper]

Confidence interval for the slope

TI-Nspire™ Reference Guide 45

Output variable Description

stat.ME Confidence interval margin of error

stat.SESlope Standard error of slope

stat.s Standard error about the line

For Response type only

Output variable Description

[stat.CLower, stat.CUpper]

stat.ME Confidence interval margin of error

stat.SE Standard error of mean response

[stat.LowerPred , stat.UpperPred]

stat.MEPred Prediction interval margin of error

stat.SEPred Standard error for prediction

stat.y

Confidence interval for the mean response

Prediction interval for a single observation

a + b·XVal

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 coefficient r for the equation y=a+bx. It tests the null hypothesis H0:b=0 (equivalently, r=0) against one of three alternative hypotheses.

All the lists must have equal dimension.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Hypoth is an optional value specifying one of three alternative hypotheses against which the null hypothesis (H0:b=r=0) will be tested.

For Ha: bƒ0 and rƒ0 (default), set Hypoth=0 For Ha: b<0 and r<0, set Hypoth<0 For Ha: b>0 and r>0, set Hypoth>0

A summary of results is stored in the stat.results variable. (See page

83.)

Output variable Description

stat.RegEqn

stat.t t-Statistic for significance test

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

Regression equation: a + b·x

Catalog

46 TI-Nspire™ Reference Guide

Output variable Description

stat.df Degrees of freedom

stat.a, stat.b Regression coefficients

stat.s Standard error about the line

stat.SESlope Standard error of slope

stat.r

stat.r Correlation coefficient

stat.Resid Residuals from the regression

Coefficient of determination

@List()

@List(List1) ⇒ list

Returns a list containing the differences between consecutive elements in List1. Each element of List1 is subtracted from the next element of List1. The resulting list is always one element shorter than the original List1.

list4mat()

list4mat(List [, elementsPerRow]) ⇒ matrix

Returns a matrix filled row-by-row with the elements from List. elementsPerRow, if included, specifies the number of elements per

row. Default is the number of elements in List (one row). If List does not fill the resulting matrix, zeros are added.

ln()

ln(Va l u e1 ) ⇒ value ln(List1) ⇒ list

Returns the natural logarithm of the argument. For a list, returns the natural logarithms of the elements.

If complex format mode is Real:

If complex format mode is Rectangular:

Catalog

keys

TI-Nspire™ Reference Guide 47

ln()

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 to cos() on.

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.

keys

LnReg

LnReg X, Y[, [Freq] [, Category, Include]]

Computes the logarithmic regression y = a+b·ln(x) on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See page 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

stat.a, stat.b Regression coefficients

stat.r

stat.r Correlation coefficient for transformed data (ln(x), y)

stat.Resid Residuals associated with the logarithmic 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 based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Regression equation: a+b·ln(x)

Coefficient of linear determination for transformed data

Category List, and Include Categories

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48 TI-Nspire™ Reference Guide

Local

Local Var 1 [, Va r 2] [, Va r 3 ] ...

Declares the specified vars as local variables. Those variables exist only during evaluation of a function and are deleted when the function finishes execution.

Note: Local variables save memory because they only exist

temporarily. Also, they do not disturb any existing global variable values. Local variables must be used for temporarily saving values in a multi-line function since modifications on global variables are not allowed in a function.

Note for entering the example: In the Calculator application

on the handheld, you can enter multi-line definitions by pressing

For loops and for

@ instead of · at the end of each line. On the computer

keyboard, hold down Alt and press Enter.

Catalog

log()

log(Val u e 1 [,Val u e 2 ]) ⇒ value log(List1[,Va l 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 logarithm of the elements. If the second argument is omitted, 10 is used as the base.

log(squareMatrix1[,Val u e ]) ⇒ squareMatrix

Returns the matrix base-Val u e logarithm of squareMatrix1. This is not the same as calculating the base-Va lu e logarithm of each element. For information about the calculation method, refer to

cos().

squareMatrix1 must be diagonalizable. The result always contains floating-point numbers.

If the base argument is omitted, 10 is used as base.

If complex format mode is Real:

If complex format mode is Rectangular:

In Radian angle mode and Rectangular complex format:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

keys

TI-Nspire™ Reference Guide 49

Logistic

Logistic X, Y[, [Freq] [, Category, Include]]

Computes the logistic regression y = (c/(1+a·e with frequency Freq. A summary of results is stored in the stat.results variable. (See page 83.)

-bx

)) on lists X and Y

Catalog

All the lists must have equal dimension except for Include. X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

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 actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

Category List, and Include Categories

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

LogisticD

LogisticD X, Y [ , [Iterations] , [Freq] [, Category, Include] ]

Computes the logistic regression y = (c/(1+a·e Y with frequency Freq, using a specified number of Iterations. A summary of results is stored in the stat.results variable. (See page

83.)

-bx

)+d) on lists X and

Catalog

All the lists must have equal dimension except for Include. X and Y are lists of independent and dependent variables. Iterations is an optional value that specifies the maximum number of

times a solution will be attempted. If omitted, 64 is used. Typically, larger values result in better accuracy but longer exe cution times, and vice versa.

Freq is an optional list of frequency values. Each element in Freq specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

50 TI-Nspire™ Reference Guide

Output variable Description

stat.RegEqn

stat.a, stat.b, stat.c, stat.d

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Regression equation: c/(1+a·e

Regression coefficients

Category List, and Include Categories

-bx

)+d)

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 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

keyboard, hold down Alt and press Enter.

Catalog

TI-Nspire™ Reference Guide 51

LU Matrix, lMatName, uMatName, pMatName[, Tol ]

Calculates the Doolittle LU (lower-upper) decomposition of a real or complex matrix. The lower triangular matrix is stored in lMatName, the upper triangular matrix in uMatName, and the permutation matrix (which describes the row swaps done during the calculation) in

pMatName. lMatName · uMatName = pMatName · matrix

Optionally, any matrix element is treated as zero if its absolute value is less than Tol . This tolerance is used only if the matrix has floatingpoint entries and does not contain any symbolic variables that have not been assigned a value. Otherwise, To l is ignored.

• If you use

•If Tol is omitted or not used, the default tolerance is calculated

The LU factorization algorithm uses partial pivoting with row interchanges.

mode to Approximate, computations are done using floatingpoint arithmetic.

as: 5EM14 ·max(dim(Matrix)) ·rowNorm(Matrix)

· or set the Auto or Approximate

Catalog

mat4list()

mat4list(Matrix) ⇒ list

Returns a list filled with the elements in Matrix. The elements are copied from Matrix row by row.

max()

max(Va l ue 1 , Va l ue 2 ) ⇒ 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 a list or matrix containing the maximum value of each pair of corresponding elements.

max(List) ⇒ expression

Returns the maximum element in list.

max(Matrix1) ⇒ matrix

Returns a row vector containing the maximum element of each column in Matrix1.

Note: See also min().

Catalog

52 TI-Nspire™ Reference Guide

mean()

mean(List[, freqList]) ⇒ expression

Returns the mean of the elements in List. Each freqList element counts the number of consecutive occurrences

of the corresponding element in List.

mean(Matrix1[, freqMatrix]) ⇒ matrix

Returns a row vector of the means of all the columns in Matrix1.

Each freqMatrix element counts the number of consecutive occurrences of the corresponding element in Matrix1.

In Rectangular vector format:

Catalog

median()

median(List) ⇒ expression

Returns the median of the elements in List.

median(Matrix1) ⇒ matrix

Returns a row vector containing the medians of the columns in Matrix1.

Note: All entries in the list or matrix must simplify to numbers.

MedMed

MedMed X,Y [, Freq] [, Category, Include]]

Computes the median-median line 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 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

Median-median line equation: m·x+b

Catalog

TI-Nspire™ Reference Guide 53

Output variable Description

stat.m, stat.b Model coefficients

stat.Resid Residuals from the median-median line

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

Category List, and Include Categories

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

mid()

mid(sourceString, Start[, Count]) ⇒ string

Returns Count characters from character string sourceString, beginning with character number Star t.

If Count is omitted or is greater than the dimension of sourceString, returns all characters from sourceString, beginning with character number Start.

Count must be ‚ 0. If Count = 0, returns an empty string.

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 sourceList, beginning with element number

Start.

Count must be ‚ 0. If Count = 0, returns an empty list.

mid(sourceStringList, Start[, Count]) ⇒ list

Returns Count strings from the list of strings sourceStringList, beginning with element number Start.

min()

min(Val u e 1, Va l u e 2) ⇒ expression min(List1, List2) ⇒ list min(Matrix1, Matrix2) ⇒ matrix

Returns the minimum of the two arguments. If the arguments are two lists or matrices, returns a list or matrix containing the minimum value of each pair of corresponding elements.

min(List) ⇒ expression

Returns the minimum element of List.

min(Matrix1) ⇒ matrix

Returns a row vector containing the minimum element of each column in Matrix1.

Note: See also max().

Catalog

54 TI-Nspire™ Reference Guide

mirr()

mirr(financeRate,reinvestRate,CF0,CFList[,CFFreq])

Financial function that returns the modified internal rate of return of an investment.

financeRate is the interest rate that you pay on the cash flow amounts.

rein vestRa te is the interest rate at which the cash flows are reinvested.

CF0 is the initial cash flow at time 0; it must be a real number. CFList is a list of cash flow amounts after the initial cash flow CF0. CFFreq is an optional list in which each element specifies the

frequency of occurrence for a grouped (consecutive) cash flow amount, which is the corresponding element of CFList. The default is 1; if you enter values, they must be positive integers < 10,000.

Note: See also irr(), page 42.

Catalog

mod()

mod(Va lu e 1 , Val u e 2 ) ⇒ 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) = x mod(x,y) = x -ìy floor(x/y)

When the second argument is non-zero, the result is periodic in that argument. The result is either zero or has the same sign as the second argument.

If the arguments are two lists or two matrices, returns a list or matrix containing the modulo of each pair of corresponding elements.

Note: See also remain(), page 73

mRow()

mRow(Va lu e , Matrix1, Index) ⇒ matrix

Returns a copy of Matrix1 with each element in row Index of Matrix1 multiplied by Va lu e .

mRowAdd()

mRowAdd(Val u e , Matrix1, Index1, Index2) ⇒ matrix

Returns a copy of Matrix1 with each element in row Index2 of Matrix1 replaced with:

Val u e · 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 is stored in the stat.results variable. (See page

83.) All the lists must have equal dimension.

Catalog

TI-Nspire™ Reference Guide 55

Output variable Description

stat.RegEqn

stat.b0, stat.b1, ... Regression coefficients

stat.R

stat.yList yList = b0+b1·x1+ ...

stat.Resid Residuals from the regression

Regression Equation: b0+b1

Coefficient of multiple determination

·x1+b2·x2+ ...

MultRegIntervals

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 interval for the mean response.

A summary of results is stored in the stat.results variable. (See page

83.)

All the lists must have equal dimension.

Output variable Description

stat.RegEqn

stat.y A point estimate: y = b0 + b1 · xl + ... for XValList

stat.dfError Error degrees of freedom

stat.CLower, stat.CUpper Confidence interval for a mean response

stat.ME Confidence interval margin of error

stat.SE Standard error of mean response

stat.LowerPred, stat.UpperrPred

stat.MEPred Prediction interval margin of error

stat.SEPred Standard error for prediction

stat.bList List of regression coefficients, {b0,b1,b2,...}

stat.Resid Residuals from the regression

Regression Equation: b0+b1·x1+b2·x2+ ...

Prediction interval for a single observation

Catalog

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 test statistic and t test statistics for the coefficients.

A summary of results is stored in the stat.results variable. (See page

83.)

Catalog

56 TI-Nspire™ Reference Guide

Outputs

Output variable Description

stat.RegEqn

stat.F Global F test statistic

stat.PVal P-value associated with global F statistic

stat.R

stat.AdjR

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.dfReg Regression degrees of freedom

stat.SSReg Regression sum of squares

stat.MSReg Regression mean square

stat.dfError Error degrees of freedom

stat.SSError Error sum of squares

stat.MSError Error mean square

stat.bList {b0,b1,...} List of coefficients

stat.tList List of t statistics, one for each coefficient in the bList

stat.PList List P-values for each t statistic

stat.SEList List of standard errors for coefficients in bList

stat.yList yList = b0+b1·x1+...

stat.Resid Residuals from the regression

stat.sResid Standardized residuals; obtained by dividing a residual by its standard deviation

stat.CookDist Cook’s distance; measure of the influence of an observation based on the residual and leverage

stat.Leverage Measure of how far the values of the independent variable are from their mean values

Regression Equation: b0+b1·x1+b2·x2+ ...

Coefficient of multiple determination

Adjusted coefficient of multiple determination

TI-Nspire™ Reference Guide 57

nCr()

nCr(Va l u e1 , Va l ue 2 ) ⇒ expression

For integer Va l ue 1 and the number of combinations of Va lu e 1 things taken Va l ue 2 at a time. (This is also known as a binomial coefficient.)

nCr(Va lu e , 0) ⇒ 1

Va l ue , negInteger) ⇒ 0

nCr(

Va l ue , posInteger) ⇒ Va l ue ·(Va l u eN1)...

nCr(

Val u e NposInteger+1)/ posInteger!

(

Va l ue , nonInteger) ⇒ expression!/

nCr(

((

Val u e NnonInteger)!·nonInteger!)

nCr(

List1, List2) ⇒ list

Returns a list of combinations based on the corresponding element pairs in the two lists. The arguments must be the same size list.

nCr(Matrix1, Matrix2) ⇒ matrix

Returns a matrix of combinations based on the corresponding element pairs in the two matrices. The arguments must be the same size matrix.

nDeriv()

nDeriv(Expr1, Va r [=Value] [, H]) ⇒ expression nDeriv(Expr1, Va r [, H] | Var = Va lu e ) ⇒ expression nDeriv(Expr1, Va r [=Value], List) ⇒ list nDeriv(List1, Va r [=Value] [, H]) ⇒ list nDeriv(Matrix1, Va r [=Value] [, H]) ⇒ matrix

Returns the numerical derivative as an expression. Uses the central difference quotient formula.

When Val u e is specified, it overrides any prior variable assignment or any current “such that” substitution for the variable.

H is the step value. If H is omitted, it defaults to 0.001. When using List1 or Matrix1, the operation gets mapped across the

values in the list or across the matrix elements.

Note: See also avgRC().

Va lu e 2 with Val u e 1 ‚ Val u e 2 ‚ 0, nCr() is

Catalog

newList()

newList(numElements) ⇒ list

Returns a list with a dimension of numElements. Each element is zero.

newMat()

newMat(numRows, numColumns) ⇒ matrix

Returns a matrix of zeros with the dimension numRows by numColumns.

Catalog

58 TI-Nspire™ Reference Guide

nfMax()

nfMax(Expr, Va r) ⇒ value nfMax(Expr, Va r, lowBound) ⇒ value

nfMax(Expr, Va r, lowBound, upBound) ⇒ value nfMax(Expr, Var) | lowBound<Va r <upBound ⇒ value

Returns a candidate numerical value of variable Va r where the local maximum of Expr occurs.

If you supply lowBound and upBound, the function looks between those values for the local maximum.

Catalog

nfMin()

nfMin(Expr, Va r) ⇒ value nfMin(Expr, Va r, lowBound) ⇒ value

nfMin(Expr, Va r, lowBound, upBound) ⇒ value nfMin(Expr, Var) | lowBound<Var <upBound ⇒ value

Returns a candidate numerical value of variable Va r where the local minimum of Expr occurs.

If you supply lowBound and upBound, the function looks between those values for the local minimum.

nInt()

nInt(Expr1, Var, Lower, Upper) ⇒ expression

If the integrand Expr1 contains no variable other than Va r , and if Lower and Upper are constants, positive ˆ, or negative ˆ, then

nInt() returns an approximation of ‰(Expr1, Va r , Lower, Upper).

This approximation is a weighted average of some sample values of the integrand in the interval Lower<Va r <Upper.

The goal is six significant digits. The adaptive algorithm terminates when it seems likely that the goal has been achieved, or when it seems unlikely that additional samples will yield a worthwhile improvement.

A warning is displayed (“Questionable accuracy”) when it seems that the goal has not been achieved.

Nest nInt() to do multiple numeric integration. Integration limits can depend on integration variables outside them.

nom()

nom(effectiveRate,CpY) ⇒ value

Financial function that converts the annual effective interest rate effectiveRate to a nominal rate, given CpY as the number of compounding periods per year.

effectiveRate must be a real number, and CpY must be a real number > 0.

Note: See also eff(), page 27.

Catalog

TI-Nspire™ Reference Guide 59

norm()

norm(Matrix) ⇒ expression norm(Ve c to r ) ⇒ expression

Returns the Frobenius norm.

Catalog

normCdf()

normCdf(lowBound,upBound[,m[,s]]) ⇒ number if lowBound

upBound are numbers, list if lowBound and upBound are

and lists

Computes the normal distribution probability between lowBound and upBound for the specified m (default=0) and s (default=1).

For P(X  upBound), set lowBound = .9E999.

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 s.

not

not BooleanExpr ⇒ Boolean expression

Returns true, false, or a simplified form of the argument.

not Integer1 ⇒ integer

Returns the one’s complement of a real integer. Internally, Integer1 is converted to a signed, 64-bit binary number. The value of each bit is flipped (0 becomes 1, and vice versa) for the one’s complement. Results are displayed according to the Base mode.

You can enter the integer in any number base. For a binary or hexadecimal entry, you must use the 0b or 0h prefix, respectively. Without a prefix, the integer is treated as decimal (base 10).

If you enter a decimal integer that is too large for a signed, 64-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range.

In Hex base mode:

Important: Zero, not the letter O.

In Bin base mode:

Catalog

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

Note: A binary entry can have up to 64 digits (not counting the

0b prefix). A hexadecimal entry can have up to 16 digits.

60 TI-Nspire™ Reference Guide

nPr()

nPr(Va l ue 1 , Va l ue 2 ) ⇒ expression

For integer Va l ue 1 and the number of permutations of Va lu e 1 things taken Va l u e2 at a time.

nPr(Val u e , 0) ⇒ 1

Val u e , negInteger) ⇒ 1/((Va l ue +1)·(Va l u e +2)...

nPr(

(

Val u e NnegInteger))

nPr(

Val u e , posInteger) ⇒ Va l ue ·(Va l u eN1)...

Val u e NposInteger+1)

(

Val u e , nonInteger) ⇒ Va l ue ! / (Va l ue NnonInteger)!

nPr(

List1, List2) ⇒ list

Returns a list of permutations based on the corresponding element pairs in the two lists. The arguments must be the same size list.

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.

Va lu e 2 with Val u e 1 ‚ Val u e 2 ‚ 0, nPr() is

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 result for npv indicates a profitable investment.

InterestRate is the rate by which to discount the cash flows (the cost of money) over one period.

CF0 is the initial cash flow at time 0; it must be a real number. CFList is a list of cash flow amounts after the initial cash flow CF0. CFFreq is a list in which each element specifies the frequency of

occurrence for a grouped (consecutive) cash flow amount, which is the corresponding element of CFList. The default is 1; if you enter values, they must be positive integers < 10,000.

nSolve()

nSolve(Equation,Var [=Guess]) ⇒ number or error_string nSolve(Equation,Var [=Guess],lowBound)

⇒ number or error_string

nSolve(Equation,Var [=Guess],lowBound,upBound)

⇒ number or error_string

nSolve(Equation,Var [=Guess]) | lowBound<Va r <upBound

⇒ number or error_string

Iteratively searches for one approximate real numeric solution to

Equation for its one variable. Specify the variable as:

variable

– or – variable = real number

For example, x is valid and so is x=3.

Catalog

Note: If there are multiple solutions, you can use a guess to

help find a particular solution.

TI-Nspire™ Reference Guide 61

nSolve()

nSolve() attempts to determine either one point where the residual

is zero or two relatively close points where the residual has opposite signs and the magnitude of the residual is not excessive. If it cannot achieve this using a modest number of sample points, it returns the string “no solution found.”

Catalog

OneVar

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 83.)

All the lists must have equal dimension except for Include.

The X arguments are data lists. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X value. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X values.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.v

stat.Gx

stat.sx Sample standard deviation of x

stat.ssssx Population standard deviation of x

stat.n Number of data points

stat.MinX Minimum of x values

stat.Q1X 1st Quartile of x

stat.MedianX Median of x

stat.Q3X 3rd Quartile of x

stat.MaxX Maximum of x values

stat.SSX Sum of squares of deviations from the mean of x

Mean of x values

Sum of x values

Sum of x2 values

Catalog

62 TI-Nspire™ Reference Guide

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 if both expressions evaluate to false.

Note: See xor. 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.

Integer1 or Integer2 ⇒ integer

Compares two real integers bit-by-bit using an or operation. Internally, both integers are converted to signed, 64-bit binary numbers. When corresponding bits are compared, the result is 1 if either bit is 1; the result is 0 only if both bits are 0. The returned value represents the bit results, and is displayed according to the Base mode.

You can enter the integers in any number base. For a binary or hexadecimal entry, you must use the 0b or 0h prefix, respectively. Without a prefix, integers are treated as decimal (base 10).

If you enter a decimal integer that is too large for a signed, 64-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range.

Note: See xor.

Catalog

In Hex base mode:

Important: Zero, not the letter O.

In Bin base mode:

Note: A binary entry can have up to 64 digits (not counting the

0b prefix). A hexadecimal entry can have up to 16 digits.

ord()

ord(Str ing) ⇒ integer ord(List1) ⇒ list

Returns the numeric code of the first character in character string Strin g, or a list of the first characters of each list element.

Catalog

P4Rx()

P4Rx(rExpr, qExpr) ⇒ expression P4Rx(rList, qList) ⇒ list P4Rx(rMatrix, qMatrix) ⇒ matrix

Returns the equivalent x-coordinate of the (r, q) pair.

Note: The q argument is interpreted as either a degree, gradian or

radian angle, according to the current angle mode. If the argument is an expression, you can use ó,G or ôto override the angle mode

setting temporarily.

In Radian angle mode:

TI-Nspire™ Reference Guide 63

Catalog

P4Ry()

P4Ry(rValue, qVal u e ) ⇒ 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 a degree, radian or

gradian angle, according to the current angle mode.

In Radian angle mode:

Catalog

PassErr

Passes an error to the next level. If system variable errCode is zero, PassErr does not do anything. The Else clause of the Try...Else...EndTry block should use ClrErr

or PassErr. If the error is to be processed or ignored, use ClrErr. If what to do with the error is not known, use PassErr to send it to the next error handler. If there are no more pending

Try...Else...EndTry error handlers, the error dialog box will be

displayed as normal.

Note: See also ClrErr, page 14, and Try, page 91. 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.

piecewise()

piecewise(Expr1 [, Cond1 [, Expr2 [, Cond2 [, … ]]]])

Returns definitions for a piecewise function in the form of a list. You can also create piecewise definitions by using a template.

Note: See also Piecewise template, page 2.

poissCdf()

poissCdf(l,lowBound,upBound) ⇒ number if lowBound and

upBound are numbers, list if lowBound and upBound are lists

poissCdf(

l,upBound) (for P(0XupBound) ⇒ number if

upBound is a number, list if upBound is a list

Computes a cumulative probability for the discrete Poisson distribution with specified mean l.

For P(X  upBound), set lowBound=0

Catalog

For an example of PassErr, See Example 2 under the Try command, page 92.

Catalog

poissPdf()

poissPdf(l,XVal) ⇒ number if XVal is a number, list if XVal is

a list

Computes a probability for the discrete Poisson distribution with the specified mean l.

Catalog

64 TI-Nspire™ Reference Guide

4Polar

Vec t o r

Displays vector in polar form [r q]. The vector must be of dimension 2 and can be a row 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 72.

complexValue 4Polar

Displays complexVector in polar form.

• Degree angle mode returns (rq).

• Radian angle mode returns reiq.

complexValue can have any complex form. However, an reiq entry causes an error in Degree angle mode.

Note: You must use the parentheses for an (rq) polar entry.

In Radian angle mode:

In Gradian angle mode:

In Degree angle mode:

Catalog

polyEval()

polyEval(List1, Expr1) ⇒ expression polyEval(List1, List2) ⇒ expression

Interprets the first argument as the coefficient of a descending-degree polynomial, and returns the polynomial evaluated for the value of the second argument.

PowerReg

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. (See page 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

Regression equation: a·(x)

stat.a, stat.b Regression coefficients

Catalog

TI-Nspire™ Reference Guide 65

Output variable Description

stat.r

stat.r Correlation coefficient for transformed data (ln(x), ln(y))

stat.Resid Residuals associated with the power 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 based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Coefficient of linear determination for transformed data

Category List, and Include Categories

Prgm

Block

EndPrgm

Template for creating a user-defined progra m. Must be used with the

Define, Define LibPub, or Define LibPriv command.

Block can be a single statement, a series of statements separated with the “:” character, or a series of statements on separate lines.

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.

Product (PI)

product()

product(List[, Start[, End]]) ⇒ expression

Returns the product of the elements contained in List. Start and End are optional. They specify a range of elements.

Calculate GCD and display intermediate results.

See Π(), page 109.

Catalog

66 TI-Nspire™ Reference Guide

product()

product(Matrix1[, Start[, End]]) ⇒ matrix

Returns a row vector containing the products of the elements in the columns of Matrix1. Start and end are optional. They specify a range of rows.

Catalog

propFrac()

propFrac(Va l ue 1 [, 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 than numerator magnitude.

propFrac(rational_expression,Var ) returns the sum of proper

ratios and a polynomial with respect to Va r . The degree of Va r in the denominator exceeds the degree of Va r in the numerator in each proper ratio. Similar powers of Va r are collected. The terms and their factors are sorted with Var as the main variable.

If Var is omitted, a proper fraction expansion is done with respect to the most main variable. The coefficients of the polynomial part are then made proper with respect to their most main variable first and so on.

You can use the propFrac() function to represent mixed fractions and demonstrate addition and subtraction of mixed fractions.

Catalog

TI-Nspire™ Reference Guide 67

QR Matrix, qMatrix, rMatrix[, Tol ]

Calculates the Householder QR factorization of a real or complex matrix. The resulting Q and R matrices are stored to the specified Matrix. The Q matrix is unitary. The R matrix is upper triangular.

• If you use mode to Approximate, computations are done using floating-

point arithmetic.

•If Tol is omitted or not used, the default tolerance is calculated as:

5Eë14 ·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.

QuadReg

QuadReg X,Y [, Freq] [, Category, Include]]

Computes the quadratic polynomial regression y = a·x2+b·x+c on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See page 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

· or set the Auto or Approximate

Catalog

The floating-point number (9.) in m1 causes results to be calculated in floating-point form.

Catalog

Output variable Description

stat.RegEqn

stat.a, stat.b, stat.c Regression coefficients

stat.R

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

Regression equation: a·x2+b·x+c

Coefficient of determination

Category List, and Include Categories

68 TI-Nspire™ Reference Guide

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Category List, and Include Categories

QuartReg

QuartReg X,Y [, Freq] [, Category, Include]]

Computes the quartic polynomial regression y = a·x4+b·x3+c· x2+d·x+e on lists X and Y with frequency Freq. A summary of results is stored in the stat.results variable. (See

page 83.) All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

Output variable Description

stat.RegEqn

stat.a, stat.b, stat.c, stat.d, stat.e

stat.R

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Regression equation: a·x4+b·x3+c· x2+d·x+e

Regression coefficients

Coefficient of determination

Category List, and Include Categories

Catalog

TI-Nspire™ Reference Guide 69

R4Pq()

R4Pq (xValue, yValue) ⇒ value R4Pq (xList, yList) ⇒ list R4Pq (xMatrix, yMatrix) ⇒ matrix

Returns the equivalent q-coordinate of the (x,y) pair arguments.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

R4Pr()

R4Pr (xValue, yValue) ⇒ value R4Pr (xList, yList) ⇒ list R4Pr (xMatrix, yMatrix) ⇒ matrix

Returns the equivalent r-coordinate of the (x,y) pair arguments.

4Rad

Val u e 1 4Rad ⇒ value

Converts the argument to radian angle measure.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

In Degree angle mode:

Catalog

In Gradian angle mode:

rand()

rand() ⇒ expression rand(#Trials) ⇒ list

rand() returns a random value between 0 and 1. rand(#Trials) returns a list containing #Trials random values

between 0 and 1.

Sets the random-number seed.

Catalog

70 TI-Nspire™ Reference Guide

randBin()

randBin(n, p) ⇒ expression randBin(n, p, #Trials) ⇒ list

randBin(n, p) returns a random real number from a specified

Binomial distribution.

randBin(n, p, #Trials) returns a list containing #Trials random real

numbers from a specified Binomial distribution.

Catalog

randInt()

randInt(lowBound,upBound) ⇒ expression randInt(lowBound,upBound ,#Trials) ⇒ list

randInt(lowBound,upBound) returns a random integer within the

range specified by lowBound and upBound integer bounds.

randInt(lowBound,upBound ,#Trials) returns a list containing

#Trials random integers within the specified range.

randMat()

randMat(numRows, numColumns) ⇒ matrix

Returns a matrix of integers between -9 and 9 of the specified dimension.

Both arguments must simplify to integers.

randNorm()

randNorm(m, s) ⇒ expression randNorm(m, s, #Trials) ⇒ list

randNorm(m, s) returns a decimal number from the specified

normal distribution. It could be any real number but will be heavily concentrated in the interval [mN3·s, m+3·s].

randNorm(m, s, #Trials) returns a list containing #Trials decimal

numbers from the specified normal distribution.

randPoly()

randPoly(Va r , Order) ⇒ expression

Returns a polynomial in Va r of the specified Order. The coefficients are random integers in the range ë9 through 9. The leading coefficient will not be zero.

Order must be 0–99.

Catalog

Note: The value s in this matr ix will change each time you press

·.

Catalog

randSamp()

randSamp(List,#Trials[,noRepl]) ⇒ list

Returns a list containing a random sample of #Trials trials from List with an option for sample replacement (noRepl=0), or no sample replacement (noRepl=1). The default is with sample replacement.

Catalog

TI-Nspire™ Reference Guide 71

RandSeed

RandSeed Number

If Number = 0, sets the seeds to the factory defaults for the randomnumber generator. If Number which are stored in system variables seed1 and seed2.

ƒ 0, it is used to generate two seeds,

Catalog

real()

real(Va l ue 1 ) ⇒ value

Returns the real part of the argument.

real(List1) ⇒ list

Returns the real parts of all elements.

real(Matrix1) ⇒ matrix

Returns the real parts of all elements.

4Rect

Vec t o r 4Rect

Displays Vec t o r in rectangular form [x, y, z]. The vector must be of dimension 2 or 3 and can be a row or a column.

Note: 4Rect 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 4Polar, page 65.

complexValue 4Rect

Displays complexValue in rectangular form a+bi. The complexValue can have any complex form. However, an reiq entry causes an error in

Degree angle mode.

Note: You must use parentheses for an (rq) polar entry.

In Radian angle mode:

In Gradian angle mode:

Catalog

In Degree angle mode:

Note: To type , select it from the symbol list in the Catalog.

72 TI-Nspire™ Reference Guide

ref()

ref(Matrix1[, To l]) ⇒ matrix

Returns the row echelon form of Matrix1. Optionally, any matrix element is treated as zero if its absolute value

is less than Tol . This tolerance is used only if the matrix has floatingpoint entries and does not contain any symbolic variables that have not been assigned a value. Otherwise, To l is ignored.

• If you use

•If Tol is omitted or not used, the default tolerance is calculated

Note: See also rref(), page 76.

mode to Approximate, computations are done using floatingpoint arithmetic.

as: 5Eë14 ·max(dim(Matrix1)) ·rowNorm(Matrix1)

· or set the Auto or Approximate

Catalog

remain()

remain(Va lu e 1 , Val u e 2 ) ⇒ value remain(List1, List2) ⇒ list remain(Matrix1, Matrix2) ⇒ matrix

Returns the remainder of the first argument with respect to the second argument as defined by the identities:

remain(x,0)  x remain(x,y)  xNy·iPart(x/y)

As a consequence, note that remain(Nx,y)  Nremain(x,y). The result is either zero or it has the same sign as the first argument.

Note: See also mod(), page 55.

Return

Return [Expr]

Returns Expr as the result of the function. Use within a

Func...EndFunc block. Note: Use Return without an argument within a

Prgm...EndPrgm block to exit a program. 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.

right()

right(List1[, Num]) ⇒ list

Returns the rightmost Num elements contained in List1. If you omit Num, returns all of List1.

Catalog

TI-Nspire™ Reference Guide 73

right()

right(sourceString[, Num]) ⇒ string

Returns the rightmost Num characters contained in character string sourceString.

If you omit Num, returns all of sourceString.

right(Comparison) ⇒ expression

Returns the right side of an equation or inequality.

Catalog

root()

root(Val u e ) ⇒ root root(Val u e 1 , Val u e 2 ) ⇒ root

root(Val u e ) returns the square root of Val u e. root(Val u e 1 , Val u e 2 ) returns the Val u e2 root of Va l u e 1. Va l u e1

can be a real or complex floating point constant or an integer or complex rational constant.

Note: See also Nth root template, page 1.

rotate()

rotate(Integer1[,#ofRotations]) ⇒ integer

Rotates the bits in a binary integer. You can enter Integer1 in any number base; it is converted automatically to a signed, 64-bit binary form. If the magnitude of Integer1 is too large for this form, a symmetric modulo operation brings it within the range.

If #ofRotations is positive, the rotation is to the left. If #ofRotations is negative, the rotation is to the right. The default is ë1 (rotate right one bit).

For example, in a right rotation:

Each bit rotates right. 0b00000000000001111010110000110101 Rightmost bit rotates to leftmost. produces: 0b10000000000000111101011000011010 The result is displayed according to the Base mode.

rotate(List1[,#ofRotations]) ⇒ list

Returns a copy of List1 rotated right or left by #of Rotations elements. Does not alter List1.

If #ofRotations is positive, the rotation is to the left. If #of Rotations is negative, the rotation is to the right. The default is ë1 (rotate right one element).

rotate(String1[,#ofRotations]) ⇒ string

Returns a copy of String1 rotated right or left by #ofRotations characters. Does not alter String1.

If #ofRotations is positive, the rotation is to the left. If #ofRotations is negative, the rotation is to the right. The default is ë1 (rotate right one character).

Catalog

In Bin base mode:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor. In Hex base mode:

Important: To enter a binary or hexadecimal number, always use the 0b or 0h prefix (zero, not the letter O).

In Dec base mode:

74 TI-Nspire™ Reference Guide

round()

round(Va l ue 1 [, digits]) ⇒ value

Returns the argument rounded to the specified number of digits after the decimal point.

digits must be an integer in the range 0–12. If digits is not included, returns the argument rounded to 12 significant digits.

Note: Display digits mode may affect how this is displayed.

round(List1[, digits]) ⇒ list

Returns a list of the elements rounded to the specified number of digits.

round(Matrix1[, digits]) ⇒ matrix

Returns a matrix of the elements rounded to the specified number of digits.

Catalog

rowAdd()

rowAdd(Matrix1, rIndex1, rIndex2) ⇒ matrix

Returns a copy of Matrix1 with row rIndex2 replaced by the sum of rows rIndex1 and rIndex2.

rowDim()

rowDim(Matrix) ⇒ expression

Returns the number of rows in Matrix.

Note: See also colDim(), page 14.

rowNorm()

rowNorm(Matrix) ⇒ expression

Returns the maximum of the sums of the absolute values of the elements in the rows in Matrix.

Note: All matrix elements must simplify to numbers. See also colNorm(), page 14.

rowSwap()

rowSwap(Matrix1, rIndex1, rIndex2) ⇒ matrix

Returns Matrix1 with rows rIndex1 and rIndex2 exchanged.

Catalog

TI-Nspire™ Reference Guide 75

rref()

rref(Matrix1[, To l]) ⇒ matrix

Returns the reduced row echelon form of Matrix1.

• If you use

•If Tol is omitted or not used, the default tolerance is calculated

Note: See also ref(), page 73.

mode to Approximate, computations are done using floatingpoint arithmetic.

as: 5Eë14 ·max(dim(Matrix1)) ·rowNorm(Matrix1)

· or set the Auto or Approximate

Catalog

sec()

sec(Val u e 1 ) ⇒ value sec(List1) ⇒ list

Returns the secant of Va lu e 1 or returns a list containing the secants of all elements in List1.

Note: The argument is interpreted as a degree, gradian or radian

angle, according to the current angle mode setting. You can us e ó,G, orôto override the angle mode temporarily.

sec/()

sec/(Val u e 1 ) ⇒ value sec/(List1) ⇒ list

Returns the angle whose secant is Va l u e1 or returns a list containing the inverse secants of each element of List1.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

sech()

sech(Val u e 1 ) ⇒ value sech(List1) ⇒ list

Returns the hyperbolic secant of Va lu e 1 or returns a list containing the hyperbolic secants of the List1 elements.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

Catalog

76 TI-Nspire™ Reference Guide

sechê()

sechê(Va l u e1 ) ⇒ value sechê (List1) ⇒ list

Returns the inverse hyperbolic secant of Va l ue 1 or returns a list containing the inverse hyperbolic secants of each element of List1.

Catalog

In Radian angle and Rectangular complex mode:

seq()

seq(Expr, Va r, Low, High[, St ep]) ⇒ 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 Var are still there after seq() is completed.

Var cannot be a system variable. The default value for Ste p = 1.

setMode()

setMode(modeNameInteger, settingInteger) ⇒ integer setMode(list) ⇒ integer list

Valid only within a function or program.

setMode(modeNameInteger, settingInteger) temporarily sets

mode modeNameInteger to the new setting settingInteger, and returns an integer corresponding to the original setting of that mode. The change is limited to the duration of the program/ function’s execution.

modeNameInteger specifies which mode you want to set. It must be one of the mode integers from the table below.

settingInteger specifies the new setting for the mode. It must be one of the setting integers listed below for the specific mode you are setting.

setMode(list) lets you change multiple settings. list contains

pairs of mode integers and setting integers. setMode(list) returns a similar list whose integer pairs represent the original modes and settings.

If you have saved all mode settings with getMode(0) & var, you can use setMode(var) to restore those settings until the function or program exits. See getMode(), page 36.

Note: The current mode settings are passed to called

subroutines. If any subroutine changes a mode setting, the mode change will be lost when control returns to the calling routine.

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

Press Ctrl+Enter /· to evaluate:

Catalog

Display approximate value of p using the default setting for Display Digits, and then display p with a setting of Fix2. Check to see that the default is restored after the program executes.

TI-Nspire™ Reference Guide 77

Mode Name

Display Digits

Angle

Exponential Format

Real or Complex

Auto or Approx.

Vector Format

Base

Mode Integer Setting Integers

=Float, 2=Float1, 3=Float2, 4=Float3, 5=Float4, 6=Float5, 7=Float6, 8=Float7,

9=Float8, 10=Float9, 11=Float10, 12=Float11, 13=Float12, 14=Fix0, 15=Fix1, 16=Fix2, 17=Fix3, 18=Fix4, 19=Fix5, 20=Fix6, 21=Fix7, 22=Fix8, 23=Fix9, 24=Fix10, 25=Fix11, 26=Fix12

=Radian, 2=Degree, 3=Gradian

=Normal, 2=Scientific, 3=Engineering

=Real, 2=Rectangular, 3=Polar

=Auto, 2=Approximate

=Rectangular, 2=Cylindrical, 3=Spherical

=Decimal, 2=Hex, 3=Binary

shift()

shift(Integer1[,#ofShifts]) ⇒ integer

Shifts the bits in a binary integer. You can enter Integer1 in any number base; it is converted automatically to a signed, 64-bit binary form. If the magnitude of Integer1 is too large for this form, a symmetric modulo operation brings it within the range.

If #ofShifts is positive, the shift is to the left. If #ofShifts is negative, the shift is to the right. The default is ë1 (shift right one bit).

In a right shift, the rightmost bit is dropped and 0 or 1 is inserted to match the leftmost bit. In a left shift, the leftmost bit is dropped and 0 is inserted as the rightmost bit.

For example, in a right shift: Each bit shifts right. 0b0000000000000111101011000011010 Inserts 0 if leftmost bit is 0,

or 1 if leftmost bit is 1. produces: 0b00000000000000111101011000011010 The result is displayed according to the Base mode. Lea ding zeros are

not shown.

shift(List1 [,#ofShifts]) ⇒ list

Returns a copy of List1 shifted right or left by #ofShifts elements. Does not alter List1.

If #ofShifts is positive, the shift is to the left. If #ofShifts is negative, the shift is to the right. The default is ë1 (shift right one element).

Elements introduced at the beginning or end of list by th e shift are set to the symbol “undef”.

shift(String1 [,#ofShifts]) ⇒ string

Returns a copy of String1 shifted right or left by #ofShifts characters. Does not alter String1.

If #ofShifts is positive, the shift is to the left. If #ofShifts is negative, the shift is to the right. The default is ë1 (shift right one character).

Characters introduced at the beginning or end of string by the shift are set to a space.

Catalog

In Bin base mode:

In Hex base mode:

Important: To enter a binary or hexadecimal number, always

use the 0b or 0h prefix (zero, not the letter O).

In Dec base mode:

78 TI-Nspire™ Reference Guide

sign()

sign(Va l ue 1 ) ⇒ value sign(List1) ⇒ list sign(Matrix1) ⇒ matrix

For real and complex Val u e1 , returns Va lu e 1 / Val u e 1 ƒ 0.

abs(Val u e 1 ) when

Returns 1 if Val u e 1 is positive. Returns ë1 if Val u e 1 is negative.

sign(0) returns „1 if the complex format mode is Real; otherwise, it

returns itself.

sign(0) represents the unit circle in the complex domain.

For a list or matrix, returns the signs of all the elements.

If complex format mode is Real:

Catalog

simult()

simult(coeffMatrix, constVector[, Tol ]) ⇒ matrix

Returns a column vector that contains the solutions to a system of linear equations.

coeffMatrix must be a square matrix that contains the coefficients of the equations.

constVector must have the same number of rows (same dimension) as coeffMatrix and contain the constants.

• 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:

5Eë14 ·max(dim(coeffMatrix)) ·rowNorm(coeffMatrix)

simult(coeffMatrix, constMatrix[, To l]) ⇒ matrix

Solves multiple systems of linear equations, where each system has the same equation coefficients but different constants.

Each column in constMatrix must contain the constants for a system of equations. Each column in the resulting matrix contains the solution for the corresponding system.

Catalog

Solve for x and y: x + 2y = 1 3x + 4y = ë1

The solution is x=ë3 and y=2.

Solve: ax + by = 1 cx + dy = 2

Solve:

x + 2y = 1

3x + 4y = ë1

x + 2y = 2

3x + 4y = ë3

For the first system, x=ë3 and y=2. For the second system, x=ë7 and y=9/2.

TI-Nspire™ Reference Guide 79

sin()

sin(Va l ue 1 ) ⇒ 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, gradian or radian

angle, according to the current angle mode. You can us e ó,G, or ô to override the angle mode setting temporarily.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

key

sin(squareMatrix1) ⇒ squareMatrix

Returns the matrix sine of squareMatrix1. This is not the same as calculating the sine of each element. For information about the calculation method, refer to cos().

squareMatrix1 must be diagonalizable. The result always contains floating-point numbers.

sinê()

sinê(Val u e 1 ) ⇒ value sinê(List1) ⇒ list

sinê(Val u e 1 ) returns the angle whose sine is Va l ue 1 .

sinê(List1) returns a list of the inverse sines of each element of

List1.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

sinê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse sine of squareMatrix1. This is not the same as calculating 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.

In Radian angle mode:

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

In Radian angle mode and Rectangular complex format mode:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

keys

80 TI-Nspire™ Reference Guide

sinh()

sinh(Numver1) ⇒ value sinh(List1) ⇒ list

sinh (Val u e 1 ) returns the hyperbolic sine of the argument. sinh (List1) returns a list of the hyperbolic sines of each element of

List1.

sinh(squareMatrix1) ⇒ squareMatrix

Returns the matrix hyperbolic sine of squareMatrix1. This is not the same as calculating the 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.

In Radian angle mode:

Catalog

sinhê()

sinhê(Val u e 1 ) ⇒ value sinhê(List1) ⇒ list

sinhê(Val u e 1 ) returns the inverse hyperbolic sine of the argument.

sinhê(List1) returns a list of the inverse hyperbolic sines of each

element of List1.

sinhê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse hyperbolic sine of 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.

SinReg

SinReg X, Y [ , [Iterations] ,[ Period] [, Category, Include] ]

Computes the sinusoidal regression on lists X and Y. A summary of results is stored in the stat.results variable. (See page 83.)

All the lists must have equal dimension except for Include.

X and Y are lists of independent and dependent variables. Iterations is a value that specifies the maximum number of times (1

through 16) a solution will be attempted. If omitted, 8 is used. Typically, larger values result in better accuracy but longer execution times, and vice versa.

Period specifies an estimated period. If omitted, the difference between values in X should be equal and in sequential order. If you specify Period, the differences between x values can be unequal.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data 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 setting.

In Radian angle mode:

Catalog

TI-Nspire™ Reference Guide 81

Output variable Description

stat.RegEqn

stat.a, stat.b, stat.c, stat.d

stat.Resid Residuals from the regression

stat.XReg List of data points in the modified X List actually used in the regression based on restrictions of Freq,

stat.YReg List of data points in the modified Y List actually used in the regression based on restrictions of Freq,

stat.FreqReg List of frequencies corresponding to stat.XReg and stat.YReg

Regression Equation: a

Regression coefficients

Category List, and Include Categories

·sin(bx+c)+d

SortA

SortA List1[, List2] [, List3] ... SortA

Vector1[, Vector2] [, Vector3] ...

Sorts the elements of the first argument in ascending order. If you include additional arguments, sorts the elements of each so

that their new positions match the new positions of the elements in the first argument.

All arguments must be names of lists or vectors. All arguments must have equal dimensions.

SortD

SortD List1[, List2] [, List3] ... SortD

Vector1[,Vector2] [,Vector3] ...

Identical to SortA, except SortD sorts the elements in descending order.

Catalog

82 TI-Nspire™ Reference Guide

4Sphere

Vec t o r

Displays the row or column vector in spherical form [r q f].

Vec t o r must be of dimension 3 and can be either 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 an entry line.

Catalog

(ρ,θ,φ)

sqrt()

sqrt(Val u e 1 ) ⇒ value sqrt(List1) ⇒ list

Returns the square root of the argument. For a list, returns the square roots of all the elements in List1.

Note: See also

Square

root template

, page 1.

stat.results

Displays results from a statistics calculation. The results are displayed as a set of name-value pairs. The specific

names shown are dependent on the most recently evaluated statistics function or command.

You can copy a name or value and paste it into other locations.

Note: Avoid defining variables that use the same names as those

used for statistical analysis. In some cases, an error condition could occur. Variable names used for statistical analysis are listed in the table below.

Catalog

TI-Nspire™ Reference Guide 83

stat.a stat.AdjR² stat.b stat.b0 stat.b1 stat.b2 stat.b3 stat.b4 stat.b5 stat.b6 stat.b7 stat.b8 stat.b9 stat.b10 stat.bList stat.c² stat.c stat.CLower stat.CLowerList stat.CompList stat.CompMatrix stat.CookDist stat.CUpper stat.CUpperList stat.d

Note: Each time the Lists & Spreadsheet application calculates stati stical 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.

stat.dfDenom stat.dfBlock stat.dfCol stat.dfError stat.dfInteract stat.dfReg stat.dfNumer stat.dfRow stat.DW stat.e stat.ExpMatrix stat.F

stat.FBlock stat.Fcol stat.FInteract stat.FreqReg stat.Frow stat.Leverage stat.LowerPred stat.LowerVal

stat.m stat.MaxX stat.MaxY stat.ME stat.MedianX

stat.MedianY stat.MEPred stat.MinX stat.MinY stat.MS stat.MSBlock stat.MSCol stat.MSError stat.MSInteract stat.MSReg stat.MSRow stat.n stat.Ç

stat.Ç1 stat.Ç2 stat.ÇDiff stat.PList

stat.PVal stat.PValBlock stat.PValCol stat.PValInteract stat.PValRow stat.Q1X stat.Q1Y stat.Q3X

stat.Q3Y stat.r stat.r² stat.RegEqn stat.Resid stat.ResidTrans stat.

sx sy

stat. stat.sx1 stat.

sx2 Gx

stat. stat.Gx² stat.Gxy stat.Gy stat.Gy² stat.s

stat.SE stat.SEList stat.SEPred stat.sResid stat.SEslope stat.sp stat.SS stat.SSBlock

stat.SSCol stat.SSX stat.SSY stat.SSError stat.SSInteract stat.SSReg stat.SSRow stat.tList stat.UpperPred stat.UpperVal stat.v

stat.v1

stat. stat.vDiff stat.vList stat.XReg

stat.XVal stat.XValList stat.w

stat.y stat.yList

stat.YReg

stat.values

Displays a matrix of the values calculated for the most recently evaluated statistics function or command.

Unlike stat.results, stat.values omits the names associated with the values.

You can copy a value and paste it into other locations.

stDevPop()

stDevPop(List[, freqList]) ⇒ expression

Returns the population standard deviation of the elements in List. Each freqList element counts the number of consecutive occurrences

of the corresponding element in List.

Note: List must have at least two elements. stDevPop(Matrix1[, freqMatrix]) ⇒ matrix

Returns a row vector of the population standard deviations of the columns in Matrix1.

Each freqMatrix element counts the number of consecutive occurrences of the corresponding element in Matrix1.

Note: Matrix1 must have at least two rows.

See the stat.results example.

In Radian angle and auto modes:

Catalog

84 TI-Nspire™ Reference Guide

stDevSamp()

stDevSamp(List[, freqList]) ⇒ expression

Returns the sample standard deviation of the elements in List. Each freqList element counts the number of consecutive occurrences

of the corresponding element in List.

Note: List must have at least two elements. stDevSamp(Matrix1[, freqMatrix]) ⇒ matrix

Returns a row vector of the sample standard deviations of the columns in Matrix1.

Each freqMatrix element counts the number of consecutive occurrences of the corresponding element in Matrix1.

Note: Matrix1 must have at least two rows.

Catalog

Stop

Programming command: Terminates the program.

Stop is not allowed in functions. 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.

Store

string()

string(Expr) ⇒ string

Simplifies Expr and returns the result as a character string.

See

Catalog

& (store)

Catalog

, page 114.

TI-Nspire™ Reference Guide 85

subMat()

subMat(Matrix1[, startRow] [, startCol] [, endRow] [, endCol])

⇒ matrix

Returns the specified submatrix of Matrix1. Defaults: startRow=1, startCol=1, endRow=last row, endCol=last

column.

Catalog

Sum (Sigma)

sum()

sum(List[, Start[, End]]) ⇒ expression

Returns the sum of the elements in List. Start and End are optional. They specify a range of elements.

sum(Matrix1[, Start[, End]]) ⇒ matrix

Returns a row vector containing the sums of the elements in the columns in Matrix1.

Start and End are optional. They specify a range of rows.

See G(), page 109.

Catalog

86 TI-Nspire™ Reference Guide

sumIf()

sumIf(List,Criteria[, SumList]) ⇒ value

Returns the accumulated sum of all elements in List that meet the specified Criteria. Optionally, you can specify an alternate list,

sumList, to supply the elements to accumulate. List can be an expression, list, or matrix. SumList, if specified, must

have the same dimension(s) as List. Criteria can be:

• A value, expression, or string. For example, 34 accumulates only those elements in List that simplify to the value 34.

• A Boolean expression containing the symbol ? as a placeholder for each element. For example, ?<10 accumulates only those elements in List that are less than 10.

When a List element meets the Criteria, the element is added to the accumulating sum. If you include sumList, the corresponding eleme nt 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: See also countIf(), page 19.

Catalog

system()

system(Val u e 1 [, Val u e 2 [, Val u e 3 [, ...]]])

Returns a system of equations, formatted as a list. You can also create a system by using a template.

(transpose)

Matrix1

⇒ matrix

Returns the complex conjugate transpose of Matrix1.

Catalog

TI-Nspire™ Reference Guide 87

tan()

tan(Va l ue 1 ) ⇒ value tan(List1) ⇒ list

tan(Val u e 1 ) returns the tangent of the argument. tan(List1) returns a list of the tangents of all elements in List1. Note: The argument is interpreted as a degree, gradian or radian

angle, according to the current angle mode. You can use ó,G orôto override the angle mode setting temporarily.

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

key

tan(squareMatrix1) ⇒ squareMatrix

Returns the matrix 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. The result always contains floating-point numbers.

tanê()

tanê(Val u e 1 ) ⇒ value tanê(List1) ⇒ list

tanê(Val u e 1 ) returns the angle whose tangent is Va l u e1 .

tanê(List1) returns a list of the inverse tangents of each ele ment of

List1.

Note: The result is returned as a degree, gradian or radian angle,

according to the current angle mode setting.

In Radian angle mode:

In Degree angle mode:

In Gradian angle mode:

In Radian angle mode:

keys

88 TI-Nspire™ Reference Guide

tanê()

tanê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse tangent of squareMatrix1. This is not the same as calculating the inverse tangent of each element. For information about the calculation method, refer to cos().

squareMatrix1 must be diagonalizable. The result always contains floating-point numbers.

In Radian angle mode:

keys

tanh()

tanh(Va l ue 1 ) ⇒ value tanh(List1) ⇒ list

tanh(Val u e 1 ) returns the hyperbolic tangent of the argument. tanh(List1) returns a list of the hyperbolic tangents of each element

of List1.

tanh(squareMatrix1) ⇒ squareMatrix

Returns the matrix hyperbolic tangent of squareMatrix1. This is not the same as calculating the 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.

tanhê()

tanhê(Val u e 1 ) ⇒ value tanhê(List1) ⇒ list

tanhê(Val u e 1 ) returns the inverse hyperbolic tangent of the

argument.

tanhê(List1) returns a list of the inverse hyperbolic tangents of

each element of List1.

tanhê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse hyperbolic tangent of squareMatrix1. This is not the same as calculating the inverse 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.

Catalog

In Radian angle mode:

Catalog

In Rectangular complex format:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

In Radian angle mode and Rectangular complex format:

To see the entire result, press £ and then use ¡ and ¢ to move the cursor.

TI-Nspire™ Reference Guide 89

tCdf()

tCdf(lowBound,upBound,df) ⇒ number if lowBound and

upBound are numbers, list if lowBound and upBound are lists

Computes the Student-t distribution probability between lowBound and upBound for the specified degrees of freedom df.

Catalog

For P(X  upBound), set lowBound = .9E999.

Then See If, page 39.

tInterval

tInterval List[,Freq[,CLevel]]

(Data list input)

tInterval v,sx,n[,CLevel]

(Summary stats input) Computes a t confidence interval. A summary of results is stored in

the stat.results variable. (See page 83.)

Output variable Description

stat.CLower, stat.CUpper Confidence interval for an unknown population mean

stat.x

Sample mean of the data sequence from the normal random distribution

stat.ME Margin of error

stat.df Degrees of freedom

stat.sx

Sample standard deviation

stat.n Length of the data sequence with sample mean

tInterval_2Samp

List1,List2[,Freq1[,Freq2[,CLevel[,Pooled]]]]

(Data list input)

tInterval_2Samp v1,sx1,n1,v2,sx2,n2[,CLevel[,Pooled]]

(Summary stats input) Computes a two-sample t confidence interval. A summary of results is

stored in the stat.results variable. (See page 83.) Pooled=1 pools variances; Pooled=0 does not pool variances.

Catalog

Output variable Description

stat.CLower, stat.CUpper Confidence interval containing confidence level probability of distribution

stat.x1-x2

Sample means of the data sequences from the normal random distribution

stat.ME Margin of error

90 TI-Nspire™ Reference Guide

Output variable Description

stat.df Degrees of freedom

stat.x1, stat.x2

stat.sx1, stat.sx2

stat.n1, stat.n2 Number of samples in data sequences

stat.sp The pooled standard deviation. Calculated when Pooled =YES

Sample means of the data sequences from the normal random distribution

Sample standard deviations for List 1 and List 2

tPdf()

tPdf(XVal,df) ⇒ number if XVal is a number, list if XVal is a

list

Computes the probability 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.

Try

block1

Else

block2

EndTry

Executes block1 unless an error occurs. Program execution transfers to block2 if an error occurs in block1. System variable errCode contains the error code to allow the program to perform error recovery. For a list of error codes, see "Error codes and messages," page 116.

block1 and block2 can be either a single statement or a series 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

keyboard, hold down Alt and press Enter.

Catalog

TI-Nspire™ Reference Guide 91

Try

Example 2

To see the commands Try , ClrErr, and PassErr in operation, enter the eigenvals() program shown at the right. Run the program by executing each of the following expressions.

Note: See also ClrErr, page 14, and PassErr, page 64.

Catalog

Disp "A= ",a Disp "B= ",b Disp " " Disp "Eigenvalues of A·B are:",eigVl(a*b)

Else

If errCode=230 Then

Disp "Error: Product of A·B must be a square matrix" ClrErr

Else

PassErr

EndIf EndTry EndPrgm

tTest

tTest m0,List[,Freq[,Hypoth]]

(Data list input)

tTest m0,x,sx,n,[Hypoth]

(Summary stats input)

Performs a hypothesis test for a single unknown population mean m when the population standard deviation s is unknown. A summary of results is stored in the stat.results variable. (See page 83.)

Test H0: m = m0, against one of the following:

For Ha: m < m0, set Hypoth<0 For Ha: m ƒ m0 (default), set Hypoth=0 For Ha: m > m0, set Hypoth>0

Output variable Description

stat.t

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom

stat.x

stat.sx Sample standard deviation of the data sequence

stat.n Size of the sample

(x N m0) / (stdev / sqrt(n))

Sample mean of the data sequence in List

Catalog

92 TI-Nspire™ Reference Guide

tTest_2Samp

tTest_2Samp List1,List2[,Freq1[,Freq2[,Hypoth[,Pooled]]]]

(Data list input)

tTest_2Samp v1,sx1,n1,v2,sx2,n2[,Hypoth[,Pooled]]

(Summary stats input) Computes a two-sample t test. A summary of results is stored in the

stat.results variable. (See page 83.)

Test H0: m1 = m2, against one of the following:

For Ha: m1< m2, set Hypoth<0 For Ha: m1ƒ m2 (default), set Hypoth=0 For Ha: m1> m2, set Hypoth>0

Pooled=1 pools variances Pooled=0 does not pool variances

Output variable Description

stat.t Standard normal value computed for the difference of means

stat.PVal Smallest level of significance at which the null hypothesis can be rejected

stat.df Degrees of freedom for the t-statistic

stat.x1, stat.x2

Sample means of the data sequences in List 1 and List 2

stat.sx1, stat.sx2 Sample standard deviations of the data sequences in List 1 and List 2

stat.n1, stat.n2 Size of the samples

stat.sp The pooled standard deviation. Calculated when Pooled=1.

Catalog

tvmFV()

tvmFV(N,I,PV,Pmt,[PpY],[CpY],[PmtAt]) ⇒ value

Catalog

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 94. See also amortTbl(), page 5.

tvmI()

tvmI(N,PV,Pmt,FV,[PpY],[CpY],[PmtAt]) ⇒ value

Catalog

Financial function that calculates the interest rate per year.

Note: Arguments used in the TVM functions are described in the

table of TVM arguments, page 94. See also amortTbl(), page 5.

tvmN()

tvmN(I,PV,Pmt,FV,[PpY],[CpY],[PmtAt]) ⇒ value

Catalog

Financial function that calculates the number of payment periods.

Note: Arguments used in the TVM functions are described in the

table of TVM arguments, page 94. See also amortTbl(), page 5.

TI-Nspire™ Reference Guide 93

tvmPmt()

tvmPmt(N,I,PV,FV,[PpY],[CpY],[PmtAt]) ⇒ value

Financial function that calculates the amount of each payment.

Note: Arguments used in the TVM functions are described in the

table of TVM arguments, page 94. See also

amortTbl(), page 5.

Catalog

tvmPV()

tvmPV(N,I,Pmt,FV,[PpY],[CpY],[PmtAt]) ⇒ value

Catalog

Financial function that calculates the present value.

Note: Arguments used in the TVM functions are described in the

table of TVM arguments, page 94. See also amortTbl(), page 5.

TVM argument*

Description Data type

N Number of payment periods real number

I Annual interest rate real number

PV Present value real number

Pmt Payment amount real number

FV Future value real number

PpY Payments per year, default=1 integer > 0

CpY Compounding periods per year, default=1 integer > 0

PmtAt Payment due at the end or beginning of each period, default=end integer (0=end,

* These 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.

TwoVar

TwoVar X, Y[, [Freq] [, Category, Include]]

Calculates the TwoVar statistics. A summary of results is stored in the stat.results variable. (See page 83.)

1=beginning)

Catalog

All the lists must have equal dimension except for Include. X and Y are lists of independent and dependent variables. Freq is an optional list of frequency values. Each element in Freq

specifies the frequency of occurrence for each corresponding X and Y data point. The default value is 1. All elements must be integers | 0.

Category is a list of numeric category codes for the corresponding X and Y data.

Include is a list of one or more of the category codes. Only those data items whose category code is included in this list are included in the calculation.

94 TI-Nspire™ Reference Guide

Texas Instruments TI-Nspire Reference Guide

Specifications and Main Features

Frequently Asked Questions

User Manual

Important Information

Contents

Expression templates

TI-Nspire™ Reference Guide 1

Alphabetical listing