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Change of basis and Stirling numbers
( go to the article → https://www.johndcook.com/blog/2020/06/14/change-of-basis/ )
Polynomials form a vector space—the sum of two polynomials is a polynomial etc.—and the most natural basis for this vector space is powers of x: 1, x, x², x³, … But the power basis is not the only possible basis, and often not the most useful basis in application. Falling powers In some applications the […]
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