identity(Integer) ⇒ matrix

Returns the identity matrix with a dimension of Integer.

Integer must be a positive integer.

If BooleanExpr1 Then
       Block1
ElseIf BooleanExpr2 Then
       Block2
⋮
ElseIf BooleanExprN Then
       BlockN
EndIf

Allows for branching. If BooleanExpr1 evaluates to true, executes Block1. If BooleanExpr1 evaluates to false, evaluates BooleanExpr2, and so on.

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

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).

imag(Matrix1) ⇒ matrix

Returns a matrix of the imaginary parts of the elements.

impDif(Equation, Var, dependVar[,Ord]) ⇒ expression

where the order Ord defaults to 1.

Computes the implicit derivative for equations in which one variable is defined implicitly in terms of another.

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.

int(Expr) ⇒ 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.

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.

interpolate(xValue, xList, yList, yPrimeList) ⇒ list

This function does the following:

Given xList, yList=f(xList), and yPrimeList=f'(xList) for some unknown function f, a cubic interpolant is used to approximate the function f at xValue. It is assumed that xList is a list of monotonically increasing or decreasing numbers, but this function may return a value even when it is not. This function walks through xList looking for an interval [xList[i], xList[i+1]] that contains xValue. If it finds such an interval, it returns an interpolated value for f(xValue); otherwise, it returns undef.

xList, yList, and yPrimeList must be of equal dimension ≥ 2 and contain expressions that simplify to numbers.

xValue can be an undefined variable, a number, or a list of numbers.

invχ2(Area,df)

invChi2(Area,df)

Computes the Inverse cumulative χ2 (chi-square) probability function specified by degree of freedom, df for a given Area under the curve.

invF(Area,dfNumer,dfDenom)

invF(Area,dfNumer,dfDenom)

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

invBinom(CumulativeProb,NumTrials,Prob,
OutputForm)⇒scalar or matrix

Inverse binomial. Given the number of trials (NumTrials) and the probability of success of each trial (Prob), this function returns the minimum number of successes, k, such that the value, k, is greater than or equal to the given cumulative probability (CumulativeProb).

OutputForm=0, displays result as a scalar (default).

OutputForm=1, displays result as a matrix.

invBinomN(CumulativeProb,Prob,
NumSuccess,OutputForm)⇒scalar or matrix

Inverse binomial with respect to N. Given the probability of success of each trial (Prob), and the number of successes (NumSuccess), this function returns the minimum number of trials, N, such that the value, N, is less than or equal to the given cumulative probability (CumulativeProb).

OutputForm=0, displays result as a scalar (default).

OutputForm=1, displays result as a matrix.

invNorm(Area[,μ[,σ]])

Computes the inverse cumulative normal distribution function for a given Area under the normal distribution curve specified by μ and σ.

invt(Area,df)

Computes the inverse cumulative student-t probability function specified by degree of freedom, df for a given Area under the curve.

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

Returns the integer part of the argument.

For lists and matrices, returns the integer part of each element.

The argument can be a real or a complex number.

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(), here.

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.

If you merely want to determine if Number is prime, use isPrime() instead of factor(). It is much faster, particularly if Number is not prime and has a second-largest factor that exceeds about five digits.

Note for entering the example: For instructions on entering multi-line program and function definitions, refer to the Calculator section of your product guidebook.

isVoid(Var) ⇒ Boolean constant expression
isVoid(Expr) ⇒ Boolean constant expression
isVoid(List) ⇒ list of Boolean constant expressions

Returns true or false to indicate if the argument is a void data type.

For more information on void elements, see here.