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词汇 Elliptic modular function
分类 英语词汇 英语翻译词典
释义

Elliptic modular function

英语百科

j-invariant

Klein's j-invariant in the complex plane
Real part of the j-invariant as a function of the nome q on the unit disk
Phase of the j-invariant as a function of the nome q on the unit disk
The fundamental domain of the modular group acting on the upper half plane.

In mathematics, Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for SL(2, Z) defined on the upper half-plane of complex numbers. It is the unique such function which is holomorphic away from a simple pole at the cusp such that

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