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单词 Laplace transform
释义

Laplace transform

An integral transform ℒ of a function f(x) into another function ℒf or inline of a different variable p. The Laplace transform inline of f(x) is defined as

The transform is useful in solving differential equations, as it handles derivatives well; for example, the transform of f′(x) equals inline. At its simplest, a differential equation in f(x) is transformed into an algebraic equation involving inline which is solved to find inline; by recognizing inline as the transform of a function, or by applying an inverse transform theorem, the solution f(x) can then be found. For a list of Laplace transforms, see appendix 10. See also Fourier transform.

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更新时间:2025/4/29 13:06:21