• Well-known text (WKT) is a text markup language for representing vector geometry objects. A binary equivalent, known as well-known binary (WKB), is used...
    11 KB (804 words) - 21:26, 12 February 2025
  • systems Well-known text representation of geometry, text markup language for representing vector geometry objects Well-known trade mark, a status granted...
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  • Well-known text representation of coordinate reference systems (WKT or WKT-CRS) is a text markup language for representing spatial reference systems and...
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  • Well-known text representation of coordinate reference systems, a text markup language for representing coordinate reference systems Well-known text representation...
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  • Thumbnail for Geography Markup Language
    (coordinate reference systems), ISO 19123 – Coverages SDEP SOSI Well-known text representation of geometry Open Geospatial Consortium Inc. (2010-02-08), Technical...
    32 KB (4,027 words) - 08:57, 6 June 2025
  • ontology in RDFS/OWL for representation using Geography Markup Language (GML) and well-known text representation of geometry (WKT) literals, and Simple...
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  • Thumbnail for Representation theory
    differential geometry, operator theory, algebraic combinatorics and topology. The success of representation theory has led to numerous generalizations. One of the...
    56 KB (7,331 words) - 15:09, 18 July 2025
  • Thumbnail for Group representation
    mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space...
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  • induced representation is a representation of a group, G, which is constructed using a known representation of a subgroup H. Given a representation of H, the...
    13 KB (1,815 words) - 17:22, 29 April 2025
  • study of asymptotic expansions Auslander–Reiten theory the study of the representation theory of Artinian rings Axiomatic geometry also known as synthetic...
    71 KB (7,692 words) - 16:40, 4 July 2025
  • In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts...
    40 KB (5,612 words) - 22:59, 27 July 2025
  • Thumbnail for Shapefile
    a well-known text representation of coordinate reference systems {content-type: text/plain OR application/text} .sbn and .sbx — a spatial index of the...
    16 KB (1,626 words) - 14:25, 19 May 2025
  • Thumbnail for WorldWide Telescope
    from other applications. Layers support 3D points and Well-known text representation of geometry (WKT), shape files, 3D models, orbital elements, image...
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  • in the Well-known text representation of geometry, the functional difference being that defined points forming the boundary of a polygon can be continuously...
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  • vertices, defined in a hierarchy of classes; this part also defines representation of geometry in text and binary forms. Part 2 of the standard, ISO 19125-2...
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  • Thumbnail for Group theory
    three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory...
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  • objects in terms of curves and surfaces with algebraic representation. Franco P. Preparata; Michael Ian Shamos (1985). Computational Geometry - An Introduction...
    19 KB (1,939 words) - 14:23, 28 June 2024
  • 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 (10,907 words) - 15:23, 21 July 2025
  • Thumbnail for Graphic communication
    Paleolithic period from 40,000 to 10,000 B.C. or earlier. Many of these played a major role in geometry. They used graphics to represent their mathematical theories...
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  • Thumbnail for Andrei Okounkov
    Andrei Okounkov (category Articles containing Russian-language text)
    1969) is a Russian mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and...
    6 KB (420 words) - 11:13, 26 October 2024
  • Thumbnail for Hyperbolic geometry
    hyperboloid model of hyperbolic geometry provides a representation of events one temporal unit into the future in Minkowski space, the basis of special relativity...
    56 KB (6,970 words) - 13:36, 7 May 2025
  • Thumbnail for Euclidean geometry
    non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. An implication of Albert Einstein's theory of general relativity...
    60 KB (7,200 words) - 17:54, 27 July 2025
  • add to the difficulty of interpretation. Analysis of the latent space geometry of diffusion models reveals a fractal structure of phase transitions in...
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  • Thumbnail for Quaternion
    pq=(pq)_{\text{s}}+(pq)_{\text{v}}=(p_{\text{s}}q_{\text{s}}-p_{\text{v}}\cdot q_{\text{v}})+(p_{\text{s}}q_{\text{v}}+q_{\text{s}}p_{\text{v}}+p_{\text{v}}\times...
    98 KB (12,766 words) - 18:56, 30 July 2025
  • Thumbnail for Irreducible representation
    specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or irrep of an algebraic...
    21 KB (2,824 words) - 20:35, 17 February 2025
  • Thumbnail for Affine geometry
    mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle...
    20 KB (2,630 words) - 16:06, 12 July 2025
  • Thumbnail for Spinor
    In geometry and physics, spinors (pronounced "spinner" IPA /spɪnər/) are elements of a complex vector space that can be associated with Euclidean space...
    72 KB (9,924 words) - 18:57, 30 July 2025
  • Thumbnail for Joe Harris (mathematician)
    Joe Harris (mathematician) (category Harvard University Department of Mathematics faculty)
    Harris is well known for several of his books on algebraic geometry, notable for their informal presentations: Principles of Algebraic Geometry ISBN 978-0-471-05059-9...
    6 KB (506 words) - 07:40, 24 July 2025
  • Thumbnail for Bidirectional reflectance distribution function
    symbol f r ( ω i , ω r ) {\displaystyle f_{\text{r}}(\omega _{\text{i}},\,\omega _{\text{r}})} , is a function of four real variables that defines how light...
    24 KB (2,891 words) - 20:07, 18 June 2025
  • Thumbnail for Geometric dimensioning and tolerancing
    Geometric dimensioning and tolerancing (category Applied geometry)
    object's nominal geometry and the permissible variation thereof. GD&T is used to define the nominal (theoretically perfect) geometry of parts and assemblies...
    29 KB (2,685 words) - 01:30, 19 June 2025