Determines a given function using Chebyshev polynomials. Details
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number of points is the number of equidistant points in the interval (start,end). The default is 10. |
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start is the start point of the interval. The default is 0.0. |
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end is the end point of the interval. The default is 1.0. |
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order is the degree of the Chebyshev approximation.
The degree is the number of different Chebyshev polynomials
describing the formula. The default is 3. |
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formula is a string describing the function under investigation. The Formula VIs check the syntax of this string. |
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C is an array of coefficients
belonging to
|
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X is the x values dividing (start,end) in equidistant subintervals. |
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Y is the y values of the Chebyshev polynomial at points X. |
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error returns any error or warning condition from the VI. |
Let n be a given natural number. The function f(x) can approximately be represented by
where
are the first Chebyshev polynomials. The can be calculated as sums of the form
where
for
k = 1, ..., n.