• Look up affine in Wiktionary, the free dictionary. Affine may describe any of various topics concerned with connections or affinities. It may refer to:...
    2 KB (284 words) - 11:16, 5 November 2021
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    affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space...
    27 KB (3,596 words) - 23:26, 24 August 2024
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    In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent...
    48 KB (7,534 words) - 08:11, 18 September 2024
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    In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector...
    58 KB (7,683 words) - 14:11, 3 July 2024
  • The affine cipher is a type of monoalphabetic substitution cipher, where each letter in an alphabet is mapped to its numeric equivalent, encrypted using...
    10 KB (1,143 words) - 22:04, 6 May 2024
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    ] . {\displaystyle k[X_{1},\ldots ,X_{n}].} An affine variety or affine algebraic variety, is an affine algebraic set such that the ideal generated by...
    29 KB (4,125 words) - 14:28, 7 February 2024
  • In mathematics, an affine representation of a topological Lie group G on an affine space A is a continuous (smooth) group homomorphism from G to the automorphism...
    2 KB (203 words) - 02:01, 13 May 2024
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    not distinct) in the complex affine space. Therefore, most of algebraic geometry is built in complex affine spaces and affine spaces over algebraically closed...
    47 KB (6,964 words) - 03:20, 8 September 2024
  • subscheme of some projective space. An affine space is a Zariski-open subset of a projective space, and since any closed affine subset U {\displaystyle U} can...
    3 KB (398 words) - 01:36, 11 February 2023
  • differential geometry, an affine sphere is a hypersurface for which the affine normals all intersect in a single point. The term affine sphere is used because...
    2 KB (210 words) - 08:31, 13 February 2024