Flatness (mathematics)
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Revision as of 00:11, 9 May 2022 by imported>LinuxGuru (fixing)
Short description: Degree to which a surface approximates a mathematical plain
In mathematics, the flatness (symbol: ⏥) of a surface is the degree to which it approximates a mathematical plane. The term is often generalized for higher-dimensional manifolds to describe the degree to which they approximate the Euclidean space of the same dimensionality. (See curvature.)[1]
Flatness in homological algebra and algebraic geometry means, of an object [math]\displaystyle{ A }[/math] in an abelian category, that [math]\displaystyle{ - \otimes A }[/math] is an exact functor. See flat module or, for more generality, flat morphism.[2]
Character encodings
| Preview | Template:Charmap/showcharTemplate:Charmap/showcharTemplate:Charmap/showcharTemplate:Charmap/showchar | |
|---|---|---|
| Unicode name | FLATNESS | |
| Encodings | decimal | hex |
| Unicode | 9189 0 0 0 | U+23E5 |
| UTF-8 | 226 143 165 0 0 0 | E2 8F A5 00 00 00 |
| Numeric character reference | ⏥ |
⏥ |
See also
- Developable surface
- Flat (mathematics)
References
- ↑ Committee 117, A. C. I. (November 3, 2006). Specifications for Tolerances for Concrete Construction and Materials and Commentary. American Concrete Institute. ISBN 9780870312212. https://books.google.com/books?id=v-A3U3PXsuYC&q=flatness+++%22approximates+a+plane%22&pg=PT12.
- ↑ Ballast, David Kent (March 16, 2007). Handbook of Construction Tolerances. John Wiley & Sons. ISBN 9780471931515. https://books.google.com/books?id=9_nyw1inTkYC&q=flatness+++%22approximates+a+plane%22a&pg=PA329.
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