What does first fundamental form mean?
Definitions for first fundamental form
first fun·da·men·tal form
This dictionary definitions page includes all the possible meanings, example usage and translations of the word first fundamental form.
Wiktionary
first fundamental formnoun
the Riemannian metric for 2-dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, {E, F, G}, dependent on u and v, which give information about local intrinsic curvature of the surface. These functions are given by
Wikidata
First fundamental form
In differential geometry, the first fundamental form is the inner product on the tangent space of a surface in three-dimensional Euclidean space which is induced canonically from the dot product of R. It permits the calculation of curvature and metric properties of a surface such as length and area in a manner consistent with the ambient space. The first fundamental form is denoted by the Roman numeral I, Let X be a parametric surface. Then the inner product of two tangent vectors is where E, F, and G are the coefficients of the first fundamental form. The first fundamental form may be represented as a symmetric matrix.
Numerology
Chaldean Numerology
The numerical value of first fundamental form in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of first fundamental form in Pythagorean Numerology is: 1
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"first fundamental form." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/first+fundamental+form>.
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