Application Guide

92 Alphabetical Listing
interpolate ()
Catalog >
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.
Use the interpolate() function to calculate the
function values for the xvaluelist:
invχ
2
()
Catalog >
invχ
2
(Area,df)
invChi2(Area,df)
Computes the Inverse cumulative χ
2
(chi-
square) probability function specified by
degree of freedom, df for a given Area
under the curve.
invF()
Catalog >
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.