Weyl's tube formula
id:
weyl-s-tube-formula-295-10580557
title:
Weyl's tube formula
text:
Weyl's tube formula gives the volume of an object defined as the set of all points within a small distance of a manifold. Let Σ be an oriented, closed, two-dimensional surface, and let N ε denote the set of all points within a distance ε of the surface Σ . Then, for ε sufficiently small, the volume of N ε is where A is the area of the surface and χ is its Euler characteristic. This expression can be generalized to the case where Σ is a q -dimensional submanifold of n -dimensional Euclidean space
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Weyl%27s_tube_formula
date created:
date modified:
2023-04-06T06:34:30Z
main entity:
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13
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