Speakur

Word Pronunciation & Dictionary

first fundamental form

Word Rarity Uncommon

Frequency: Zipf frequency 4.28 in modern English

Syllables
first -fun-da-men-tal -form
IPA
34
Scrabble Score
20
Letters
6
Syllables
13
Unique Chars

Meaning

noun

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

Uncountable

Example Sentences

  • "E=⃑x_u·⃑x_u"
  • "F=⃑x_u·⃑x_v"
  • "G=⃑x_v·⃑x_v"

Usage

Questions

What does first fundamental form mean?
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

How to pronounce first fundamental form

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