单词 | Fourier's theorem |
释义 | Fourier's theorem [´fu̇r·ē´āz ´thir·ǝm] MATHEMATICS If ƒ (x ) satisfies the Dirichlet conditions on the interval -π<x< π, then its Fourier series converges to ƒ (x ) for all values of x in this interval at which f (x ) is continuous, and approaches 1/2 [ƒ (x + 0) + ƒ (x - 0)] at points at which ƒ (x ) is discontinuous, where ƒ (x - 0) is the limit on the left of f at x and ƒ (x + 0) is the limit on the right of f at x. |
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