• crystallography, the geometry index or structural parameter (τ) is a number ranging from 0 to 1 that indicates what the geometry of the coordination center...
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  • Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') is a branch of mathematics...
    101 KB (10,041 words) - 09:53, 17 July 2025
  • In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...
    53 KB (7,553 words) - 19:23, 20 July 2025
  • Thumbnail for Differential geometry
    Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....
    46 KB (5,964 words) - 05:02, 17 July 2025
  • on discrete geometry and computational geometry. The journal is indexed in: Mathematical Reviews Zentralblatt MATH Science Citation Index Current Contents...
    3 KB (162 words) - 07:03, 16 April 2025
  • ST_Distance(geometry, geometry) : number ST_Equals(geometry, geometry) : boolean ST_Disjoint(geometry, geometry) : boolean ST_Intersects(geometry, geometry) :...
    22 KB (2,041 words) - 12:04, 3 May 2025
  • Thumbnail for Coordination complex
    coordinations for five-coordinated complexes, the τ geometry index was invented by Addison et al. This index depends on angles by the coordination center and...
    57 KB (5,526 words) - 19:26, 17 July 2025
  • Algebra Geometry Combinatorics 2011: Algebra Combinatorics Geometry Number theory Geometry Algebra 2010: Geometry Combinatorics Algebra Geometry Number...
    29 KB (3,528 words) - 15:30, 27 May 2025
  • Thumbnail for Shapefile
    format; the feature geometry itself. Content-type: application/vnd.shp .shx Shape index format; a positional index of the feature geometry to allow seeking...
    16 KB (1,626 words) - 14:25, 19 May 2025
  • Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces...
    22 KB (2,408 words) - 07:34, 9 May 2025
  • Thumbnail for Point (geometry)
    In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical...
    15 KB (1,649 words) - 10:02, 16 May 2025
  • This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. List of curves topics...
    9 KB (682 words) - 03:50, 5 December 2024
  • Thumbnail for Michael Atiyah
    Michael Atiyah (category Savilian Professors of Geometry)
    British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory...
    83 KB (8,832 words) - 19:38, 24 July 2025
  • Thumbnail for W. V. D. Hodge
    W. V. D. Hodge (category Lowndean Professors of Astronomy and Geometry)
    discovery of far-reaching topological relations between algebraic geometry and differential geometry—an area now called Hodge theory and pertaining more generally...
    14 KB (1,402 words) - 04:55, 17 July 2025
  • Thumbnail for Geometrization conjecture
    non-compact. If it is compact, then the 2 geometries can be distinguished by whether or not π1(M) has a finite index subgroup that splits as a semidirect product...
    32 KB (4,060 words) - 14:43, 12 January 2025
  • Einstein notation (category Riemannian geometry)
    especially the usage of linear algebra in mathematical physics and differential geometry, Einstein notation (also known as the Einstein summation convention or...
    14 KB (2,074 words) - 15:45, 7 February 2025
  • conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry is...
    21 KB (3,362 words) - 20:11, 12 July 2025
  • optional, one can define geometry without them, but one must put two slashes after the vertex index before putting the normal index. f v1//vn1 v2//vn2 v3//vn3...
    20 KB (2,498 words) - 17:13, 2 June 2025
  • In geometry, Max Dehn introduced two examples of planes, a semi-Euclidean geometry and a non-Legendrian geometry, that have infinitely many lines parallel...
    4 KB (641 words) - 06:39, 7 November 2024
  • Thumbnail for Winding number
    Winding number (redirect from Winding index)
    in vector calculus, complex analysis, geometric topology, differential geometry, and physics (such as in string theory). Suppose we are given a closed...
    16 KB (2,292 words) - 13:53, 6 May 2025
  • no overlapping time ranges or no intersecting geometry objects would be stored in the table. An index supporting fast searching for records satisfying...
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  • Thumbnail for Similarity (geometry)
    In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely...
    28 KB (3,581 words) - 12:34, 16 May 2025
  • Thumbnail for Tensor
    Tensor (redirect from Tensor index)
    concept enabled an alternative formulation of the intrinsic differential geometry of a manifold in the form of the Riemann curvature tensor. Although seemingly...
    69 KB (9,437 words) - 13:06, 15 July 2025
  • spin geometry is the area of differential geometry and topology where objects like spin manifolds and Dirac operators, and the various associated index theorems...
    1 KB (115 words) - 05:07, 19 October 2023
  • pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions...
    33 KB (3,558 words) - 07:48, 21 July 2025
  • .} Abstract index notation Connection Curvilinear coordinates Tensors in curvilinear coordinates Differential form Differential geometry Exterior algebra...
    46 KB (7,275 words) - 11:43, 2 June 2025
  • The International Journal of Computational Geometry and Applications (IJCGA) is a bimonthly journal published since 1991, by World Scientific. It covers...
    2 KB (126 words) - 10:22, 14 March 2025
  • Thumbnail for Coordinate system
    Coordinate system (category Analytic geometry)
    In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the position of the points...
    19 KB (2,275 words) - 00:14, 21 June 2025
  • JSTOR 109316 Eisenbud, David (2005). The Geometry of Syzygies. A second course in commutative algebra and algebraic geometry. Graduate Texts in Mathematics. Vol...
    6 KB (734 words) - 06:43, 5 December 2024
  • Thumbnail for Three-dimensional space
    In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...
    34 KB (4,825 words) - 21:40, 24 June 2025