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单词 Conformal invariant
释义

Conformal invariant

英语百科

Riemann surface

Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real part of √z. For the imaginary part of √z, rotate the plot 180° around the vertical axis.
The Riemann sphere.

In mathematics, particularly in complex analysis, a Riemann surface, first studied by and named after Bernhard Riemann, is a one-dimensional complex manifold. Riemann surfaces can be thought of as deformed versions of the complex plane: locally near every point they look like patches of the complex plane, but the global topology can be quite different. For example, they can look like a sphere or a torus or several sheets glued together.

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更新时间:2025/6/18 4:56:41