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How multidimensional Interpolation works in mathematica

Posted 9 years ago
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Dear Friends I have used Interpolation function in 3-D works. I only know that this interpolation gives the exact value of cologation points and attributes a approximate number to any points between them. How can I find the equation and mathematic assumptions that have been considered for thid multidimensional Interpolation

Interpolation[{{x1,f1},{x2,f2},…}] construct an approximate function with values at points

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