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Built-in Mathematica Symbol

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FunctionInterpolation

FunctionInterpolation[expr, {x, x_min, x_max}]
evaluates expr with x running from x_min to x_max and constructs an InterpolatingFunction object which represents an approximate function corresponding to the result.

FunctionInterpolation[expr, {x, x_min, x_max}, {y, y_min, y_max}, ...]
constructs an InterpolatingFunction object with several arguments.

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You can use FunctionInterpolation to generate a single InterpolatingFunction object from an expression containing several such objects.

EXAMPLES

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Basic Examples (1)

Computes an InterpolatingFunction representation of Exp[-Sin[x]^2]:

In[1]:=

Out[1]=

Use the resulting function as any function:

In[2]:=

Out[2]=

SEE ALSO

Interpolation ListInterpolation InterpolatingPolynomial Table InterpolatingFunction

TUTORIALS

Approximate Functions and Interpolation

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Curve Fitting & Approximate Functions

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