1. Affine scheme, the spectrum of prime ideals of a commutative ring Affine morphism, a morphism of schemes such that the pre-image of an open Affine subscheme is Affine; Affine space, an abstract structure that generalises the Affine-geometric properties of Euclidean space; Affine tensor, a tensor belonging to an Affine coordinate system

2. Every real or complex affine or projective space is also a topological space.

3. 기하학에서, 아핀 공간(Affine空間, 영어: Affine space)은 유클리드 공간의 아핀 기하학적 성질들을 일반화해서 만들어지는 구조이다

4. More precisely, an affine space is a set with a free transitive vector space action.

5. Recall the dimension of an affine space is the dimension of its associated vector space.

6. In the words of John Baez, "an affine space is a vector space that's forgotten its origin".

7. Affine geometry can be viewed as the geometry of an Affine space of a given dimension n, coordinatized over a field K

8. Affined (Thesaurus) affine affine geometry

9. There is a sample space of lines, one on which the affine group of the plane acts.

10. More generally, an n-dimensional affine space is a Klein geometry for the affine group Aff(n), the stabilizer of a point being the general linear group GL(n).

11. Affine fixed , find the fixed point of an affine transformation.

12. There is also (in two dimensions) a combinatorial generalization of coordinatized Affine space, as developed in synthetic finite geometry .

13. In 1976 he and Daniel Quillen independently proved Serre's conjecture about the triviality of algebraic vector bundles on affine space.

14. Among other things, trying to find a projection of affine three-space onto the sphere subject to some open constraints.

15. A method and apparatus for executing an affine or non-affine transformation

16. "Affine Term-Structure Models:

17. Affine and Projective Geometry.

18. The modulator performs an affine transformation on a signal, wherein the I, Q space is mapped to a plurality of sectors.

19. An affine frame for A consists of a point p ∈ A and a basis (e1,... en) of the vector space TpA = Rn.

20. An Affine transformation corresponds to

21. Near to any point, S can be approximated by its tangent plane at that point, which is an affine subspace of Euclidean space.

22. In these definitions, M is a smooth n-manifold and A = Aff(n)/GL(n) is an affine space of the same dimension.

23. Cubitus [ kyoo-bi-t uhs ] noun, plural cu·bi·ti [kyoo-bi-tahy]

24. A polyhedron has been defined as a set of points in real affine (or Euclidean) space of any dimension n that has flat sides.

25. Read writing from Affine on Medium

26. In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is Convex if, given any two points, it contains the whole line segment that joins them

27. By analogy, the affine group Aff(n) is the group of transformations of An preserving the affine structure.

28. Synonyms for Affine in Free Thesaurus

29. What does Affine mean? Information and translations of Affine in the most comprehensive dictionary definitions resource on …

30. Volume 1 chapter VI gives an account of affine transformations, torsion, and the general theory of affine geodesy.

31. The pair (P, η) defines the structure of an affine geometry on M, making it into an affine manifold.

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35. In these cases, use another affine transformation.

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38. Definition of Affine in the Definitions.net dictionary

39. An affine transform determining processor (50) generates an affine transform representative of the error between the current and archived images.

40. ‘Our interest is in the space of Affine equivalence classes of equal-area polygons.’ ‘The simplest way to see why this assertion is true is to observe that any triangle in the plane can be mapped by an invertible Affine transformation to an equilateral triangle.’

41. Affine transformations, unlike the projective ones, preserve parallelism

42. Affine transformations In order to incorporate the idea that both the basis and the origin can change, we augment the linear space u, vwith an origin t

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46. Affine transformation is the transformation of a triangle

47. Differential calculus works by approximation with Affine functions

48. More general affine manifolds or affine geometries are obtained easily by dropping the flatness condition expressed by the Maurer-Cartan equations.

49. Affine connections may also be used to define (affine) geodesics on a manifold, generalizing the straight lines of Euclidean space, although the geometry of those straight lines can be very different from usual Euclidean geometry; the main differences are encapsulated in the curvature of the connection.

50. What does Affines mean? Plural form of affine

51. When was Affine invented? No date nor known author.

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53. Of or relating to the geometry of Affine transformations

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55. Affine connections can be defined within Cartan's general framework.

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61. A subset of the plurality of amplifier cells receiving each phase clock signal are enabled, based on the magnitude of the associated vector describing the signal in affine transform space.

62. Of or relating to the geometry of Affine transformations

63. Digital affine transformation modulated power amplifier for wireless communications

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72. Apply Affine scaling on the x-axis to input data

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76. Affine systems are nonlinear systems that are linear in the input

77. Automatic registration of intra-modality medical volume images using affine transformation

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