• Thumbnail for Finite geometry
    A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean line...
    22 KB (2,825 words) - 08:06, 5 March 2024
  • algebraic geometry, Galois theory, finite geometry, cryptography and coding theory. A finite field is a finite set that is a field; this means that...
    45 KB (5,959 words) - 10:05, 18 February 2024
  • Finite geometry is the study of geometric systems having only a finite number of points. Structures analogous to those found in continuous geometries...
    32 KB (3,440 words) - 10:24, 15 March 2024
  • Thumbnail for Discrete geometry
    methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines...
    15 KB (1,579 words) - 06:27, 29 September 2023
  • Thumbnail for Affine geometry
    In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance...
    20 KB (2,625 words) - 01:19, 29 March 2024
  • concept of angle and distance, finite geometry that omits continuity, and others. This enlargement of the scope of geometry led to a change of meaning of...
    100 KB (9,862 words) - 21:48, 22 March 2024
  • synthetic geometry. Another topic that developed from axiomatic studies of projective geometry is finite geometry. The topic of projective geometry is itself...
    39 KB (5,090 words) - 08:05, 12 March 2024
  • Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Finite geometry Fractal geometry Geometry of numbers Hyperbolic geometry Incidence...
    13 KB (912 words) - 16:57, 1 March 2024
  • Thumbnail for Projective space
    synthetic geometry. Another topic that developed from axiomatic studies of projective geometry is finite geometry. The topic of projective geometry is itself...
    37 KB (5,624 words) - 15:29, 9 February 2024
  • important example is a finite geometry. For instance, in a finite plane, X is the set of points and Y is the set of lines. In a finite geometry of higher dimension...
    9 KB (1,256 words) - 15:48, 12 September 2022
  • Thumbnail for Algebraic combinatorics
    Galois geometries. Finite geometries can also be defined purely axiomatically. Most common finite geometries are Galois geometries, since any finite projective...
    13 KB (1,280 words) - 23:06, 13 April 2023
  • Thumbnail for Arithmetic geometry
    study of schemes of finite type over the spectrum of the ring of integers. The classical objects of interest in arithmetic geometry are rational points:...
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  • Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an...
    13 KB (1,473 words) - 20:06, 5 July 2023
  • Oval (redirect from Egg (geometry))
    quadrilaterals. Retrieved 21 October 2020. Dembowski, Peter (1968), Finite geometries, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 44, Berlin...
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  • of Finite Mathematics, Academic Press Business mathematics § Undergraduate Discrete mathematics Finite geometry Finite group, Finite ring, Finite field...
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  • Thumbnail for Fano plane
    Fano plane (redirect from Fano's Geometry)
    In finite geometry, the Fano plane (after Gino Fano) is a finite projective plane with the smallest possible number of points and lines: 7 points and...
    24 KB (3,025 words) - 22:57, 10 March 2024
  • Thumbnail for Point (geometry)
    finite domain and takes values 0 and 1. Accumulation point Affine space Boundary point Critical point Cusp Foundations of geometry Position (geometry)...
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  • Combinatorial designs Finite geometry Intersection theorem Levi graph As, for example, L. Storme does in his chapter on Finite Geometry in Colbourn & Dinitz...
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  • Thumbnail for Algebraic geometry
    different and algebraic geometry includes also geometry in finite characteristic. Algebraic geometry now finds applications in statistics, control theory...
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  • Thumbnail for Projective plane
    called the Fano plane. See also the article on finite geometry. Using the vector space construction with finite fields there exists a projective plane of order...
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  • Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean...
    76 KB (10,876 words) - 17:07, 31 March 2023
  • Thumbnail for Three-dimensional space
    with finite geometry. The simplest instance is PG(3,2), which has Fano planes as its 2-dimensional subspaces. It is an instance of Galois geometry, a study...
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  • extends to space duality and beyond that to duality in any finite-dimensional projective geometry. A projective plane C may be defined axiomatically as an...
    46 KB (5,587 words) - 19:24, 1 December 2023
  • Thumbnail for Discrete mathematics
    can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets,...
    27 KB (2,793 words) - 15:11, 5 February 2024
  • 3-manifolds with finite fundamental group. Examples include the 3-sphere, the Poincaré homology sphere, Lens spaces. This geometry can be modeled as...
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  • geometry is no more in use, except at elementary level, or for geometries that are not related to any sort of numbers, such as some finite geometries...
    14 KB (1,738 words) - 11:40, 28 December 2023
  • Thumbnail for Finite element method
    extension of mimetic finite difference (MFD) methods, is a generalization of the standard finite element method for arbitrary element geometries. This allows...
    53 KB (6,828 words) - 07:52, 17 February 2024
  • Thumbnail for History of geometry
    as well as over the real or complex numbers. Finite geometry itself, the study of spaces with only finitely many points, found applications in coding theory...
    52 KB (6,862 words) - 08:01, 6 March 2024
  • Thumbnail for Galois geometry
    Galois geometry (so named after the 19th-century French mathematician Évariste Galois) is the branch of finite geometry that is concerned with algebraic...
    10 KB (1,426 words) - 13:23, 24 September 2021
  • Shape of the universe (category Differential geometry)
    to both its local and global geometry. Local geometry is defined primarily by its curvature, while the global geometry is characterised by its topology...
    30 KB (3,811 words) - 19:53, 25 February 2024