differential geometry
Word Rarity
Rare
Frequency: Zipf frequency 3.55 in modern English
33
Scrabble Score
20
Letters
8
Syllables
13
Unique Chars
Meaning
noun
The study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.
Uncountable
Example Sentences
- "1945, Eric Temple Bell, The Development of Mathematics, 2nd Edition, 1992 Republication, page 358, […] projective differential geometries of the American and Italian schools do not seem to have attracted physicists."
- "1962, I. M. James, The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry, page 189, The general theory of manifolds of class 2 is a sub-class of differential geometries, which contain the theory of affine connections, curvature and osculating sub-spaces."
- "Note that projective differential geometry is a basis for Euclidean and non-Euclidean differential geometries since metric properties of submanifolds of Euclidean and non-Euclidean spaces should only be added to their projective properties."
- "In this sense, C#123;k#95;0#125; is the natural hypothesis of differentiability in the particular question of differential geometry."