What does mean curvature mean?

Definitions for mean curvature
mean cur·va·ture

This dictionary definitions page includes all the possible meanings, example usage and translations of the word mean curvature.


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Wikipedia

  1. Mean curvature

    In mathematics, the mean curvature H {\displaystyle H} of a surface S {\displaystyle S} is an extrinsic measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space. The concept was used by Sophie Germain in her work on elasticity theory. Jean Baptiste Marie Meusnier used it in 1776, in his studies of minimal surfaces. It is important in the analysis of minimal surfaces, which have mean curvature zero, and in the analysis of physical interfaces between fluids (such as soap films) which, for example, have constant mean curvature in static flows, by the Young-Laplace equation.

Wikidata

  1. Mean curvature

    In mathematics, the mean curvature of a surface is an extrinsic measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space. The concept was introduced by Sophie Germain in her work on elasticity theory. It is important in the analysis of minimal surfaces, which have mean curvature zero, and in the analysis of physical interfaces between fluids which by the Young–Laplace equation have constant mean curvature.

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Numerology

  1. Chaldean Numerology

    The numerical value of mean curvature in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of mean curvature in Pythagorean Numerology is: 9


Translations for mean curvature

From our Multilingual Translation Dictionary

  • μέση καμπυλότηταGreek

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"mean curvature." Definitions.net. STANDS4 LLC, 2024. Web. 5 May 2024. <https://www.definitions.net/definition/mean+curvature>.

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