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FilledSmallSquare InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.

FilledSmallSquare InterpolatingFunction works like Function.

FilledSmallSquare InterpolatingFunction[ ... ][x] finds the value of an approximate function with a particular argument x.

FilledSmallSquare In standard output format, only the domain element of an InterpolatingFunction object is printed explicitly. The remaining elements are indicated by <>.

FilledSmallSquare domain specifies the domain of the data from which the InterpolatingFunction was constructed.

FilledSmallSquare If you supply arguments outside of the domain, a warning is generated, and then an extrapolated value is returned.

FilledSmallSquare InterpolatingFunction objects that take any number of real arguments may be constructed.

FilledSmallSquare You can take derivatives of InterpolatingFunction objects using D and Derivative.

FilledSmallSquare NDSolve returns its results in terms of InterpolatingFunction objects.

FilledSmallSquare See Section 1.6.4, Section 2.2.8 and Section 3.8.3.

FilledSmallSquare Implementation Notes: see Section A.9.4.

FilledSmallSquare See also: Interpolation, CompiledFunction, FunctionInterpolation.

FilledSmallSquare Related package: NumericalMath`SplineFit`.

FilledSmallSquare New in Version 2; modified in 3.

Further Examples