词汇 | second-fundamental-form |
释义 | BETA second fundamental formcollocation in Englishmeanings of second, fundamentaland formThese 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 formsecond 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 This example is from Wikipedia and may be reused under a CC BY-SA license. 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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