| 释义 |
Fourier's theorem Fourier's theorem[‚fu̇r·ē‚āz ‚thir·əm] (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 ƒ(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 ƒ at x and ƒ(x + 0) is the limit on the right of ƒ at x. |