“Euler Characteristic”的概念、定义、习题解题方法及翻译-数学辞典

单词

Euler Characteristic

释义

Euler Characteristic

Let a closed surface have Genus . Then the Polyhedral Formula becomes thePoincaré Formula

(1)

where

is the Euler characteristic, sometimes also known as the Euler-PoincaréCharacteristic. In terms of the Integral Curvature of the surface

(2)

The Euler characteristic is sometimes also called the Euler Number. It can also be expressed as

(3)

where

is the

th Betti Number of the space.

See also Chromatic Number, Map Coloring

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