Gauss-Bonnet's formula. - Stock video

Handwriting, Number, Symbol, Ukraine, Algebra

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Stock video ID:649100886
Upload date:March 17, 2017


In that specific case this formula connects the local characteristic of a surface under the name Gaussian curvature (it is a measure of as far as the surface differs from the plane) and her global, topological characteristic — quantity of through holes. Such interpretation is suitable for the two-dimensional surface made of uniform 'piece' — for example, spheres or a Torah. The sphere, by the way, has no through holes, and at a Torah it is one.
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