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词汇 second-fundamental-form
释义 BETA

second fundamental form

collocation in English

meanings of second, fundamentaland form


These words are often used together. Click on the links below to explore the meanings.
second
noun
uk /ˈsek.ənd/ us /ˈsek.ənd/
;
a short unit of time that is equal to a 60th of ...
See more at second
fundamental
adjective
uk /ˌfʌn.dəˈmen.təl/ us /ˌfʌn.dəˈmen.t̬əl/
forming the base, from which everything ...
See more at fundamental
form
noun
uk /fɔːm/ us /fɔːrm/
a paper or set of papers printed with spaces in which answers to questions can be written or information can be recorded in an ...
See more at form


Examples of second fundamental form


second fundamental form
In order to prove the existence of classical solution, we need a priori estimates for the second derivatives or equivalently, the secondfundamentalform.
The above expression, a symmetric bilinear form at each point, is the secondfundamentalform.
From
Wikipedia

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The most important example is the secondfundamentalform, defined classically as follows.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
It is often referred to as the secondfundamentalform.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
Observe that the mean curvature is a trace, or average, of the secondfundamentalform, for any given component.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
If the affine connection is torsion-free, then the secondfundamentalform is symmetric.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
More abstractly, the mean curvature is the trace of the secondfundamentalform divided by "n" (or equivalently, the shape operator).
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
The eigenvalues of the secondfundamentalform, represented in an orthonormal basis, are the principal curvatures of the surface.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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