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

+ 108 hidden pages

Texas Instruments TI-Nspire Reference Guide

Important Information

Contents

Expression templates

TI-Nspire™ Reference Guide 1

Alphabetical listing