释义 |
Euler CharacteristicLet 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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