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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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更新时间:2024/11/15 3:22:33