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  • ...clidean]] 3D volume, where the base [[Cell (geometry)|cell]] has 6 [[Face (geometry)|faces]] ([[hexahedron]]). ...Bilinear interpolation|bilinear surfaces]] and the side faces are [[plane (geometry)|plane]]s. ...
    3 KB (374 words) - 10:16, 27 February 2023
  • ...ck-S-Woods-Plane/bams/1183414982.full Review of ''Plane and Solid Analytic geometry''] via [[Project Euclid]]</ref> ...[[curvature of Riemannian manifolds]]. In 1903 he spoke on [[non-Euclidean geometry]]. ...
    3 KB (426 words) - 21:04, 6 July 2024
  • {{Short description | Differential geometry of supermanifolds}} '''Supergeometry''' is [[differential geometry]] of [[module (mathematics)|module]]s over [[supercommutative algebra|grade ...
    3 KB (385 words) - 22:35, 24 July 2022
  • In [[convex geometry]], a '''spectrahedron''' is a shape that can be represented as a [[linear m ...01|title=Spectrahedral Shadows|journal=SIAM Journal on Applied Algebra and Geometry|volume=2|pages=26–44|doi=10.1137/17m1118981|doi-access=free}}</ref> ...
    2 KB (325 words) - 16:24, 4 October 2024
  • ...or [[Tensile structure|cable and fabric structures]]. The aim is to find a geometry where all forces are in [[Mechanical equilibrium|equilibrium]]. In the past ...)|dynamic]] process in time, with each iteration based on an update of the geometry,<ref name=lewis>[[Wanda Lewis|W. J. Lewis]], ''Tension Structures: Form and ...
    5 KB (795 words) - 14:19, 29 May 2022
  • ...ter the [[Germany|German]] [[mathematician]] [[Walter Benz]]. The term was applied to a group of objects that arise from a common [[axiomatization]] of certai <ref>F. Buekenhout (ed.), ''Handbook of [[Incidence (geometry)|Incidence Geometry]]'', [[Elsevier]] (1995) {{ISBN|0-444-88355-X}}</ref> ...
    5 KB (755 words) - 17:36, 14 January 2023
  • In algebraic geometry, given a [[morphism of schemes]] <math>p: X \to S</math>, the '''diagonal m ...ct of schemes|fiber product]] <math>X \times_S X</math> of ''p'' and ''p'' applied to the identity <math>1_X : X \to X</math> and the identity <math>1_X</math ...
    4 KB (631 words) - 16:46, 30 September 2021
  • == Algebraic geometry == ...es coming from the fractional parts of ''D''. Multiplier ideals are often applied in tandem with vanishing theorems such as the [[Kodaira vanishing theorem]] ...
    4 KB (501 words) - 23:55, 12 August 2023
  • In [[computational geometry]], the '''source unfolding''' of a [[convex polyhedron]] is a [[Net (polyhe ...of the net that do not lie along edges of the polyhedron, as a [[Blooming (geometry)|blooming]] of the polyhedron.{{r|ddhilo}} The unfolded shape of the source ...
    3 KB (436 words) - 07:34, 11 January 2024
  • ...''[[Geometriae Dedicata]]'', ''[[Journal of Geometry]]'', ''[[Advances in Geometry]]'', and the ''[[Journal of Elasticity]]''. ...s, induced by an involution related to complementary angles of [[Parallel (geometry)|parallelism]].<ref>{{cite web|url=https://link.springer.com/article/10.100 ...
    5 KB (715 words) - 07:17, 26 December 2024
  • The '''thermal center''' is a concept used in [[applied mechanics]] and [[engineering]]. When a solid body is exposed to a thermal *A thermal variation ΔT is applied to the entire body. ...
    3 KB (464 words) - 15:30, 27 July 2023
  • ==Work on hyperbolic geometry== ...nates initially introduced by [[Christoph Gudermann]] (1830) for spherical geometry, which were adapted by Escherich using [[hyperbolic function]]s. For the ca ...
    4 KB (571 words) - 01:12, 17 February 2024
  • '''Doignon's theorem''' in [[geometry]] is an analogue of [[Helly's theorem]] for the [[integer lattice]]. It sta ...fied as belonging to [[convex geometry]], [[discrete geometry]], and the [[geometry of numbers]]. It is named after Belgian mathematician and [[mathematical ps ...
    6 KB (768 words) - 22:16, 14 October 2024
  • ...e]]s and [[quadric]]s. These surfaces have applications in [[architectural geometry]] and [[computer-aided geometric design]] (CAGD).<ref name="arxiv1"/><ref n In [[architectural geometry]], Darboux cyclides have been applied in the ''rationalization'' of [[Freeform surface modelling|freeform structu ...
    5 KB (688 words) - 12:45, 13 January 2025
  • In [[differential geometry]], the '''Neovius surface''' is a [[Triply periodic minimal surface|triply ...surfactant-water mixtures: Beyond spheres, cylinders and planes. Pure and Applied Chemistry, vol. 64, no. 11, pp. 1617–1622, 1992</ref> and crystallography o ...
    2 KB (293 words) - 09:44, 18 January 2025
  • In [[algebraic geometry]], a '''conic bundle''' is an [[algebraic variety]] that appears as a solut and the same definition applied to <math> U '</math> gives to ''F''<sub>''a'',''P''</sub> a structure of co ...
    4 KB (646 words) - 09:55, 2 November 2024
  • ...el Sequences and Their Geometric Applications''''' is a book in [[discrete geometry]]. It was written by [[Micha Sharir]] and [[Pankaj K. Agarwal]], and publis ...gths of Davenport–Schinzel sequences and on their applications to discrete geometry.{{r|hb}} ...
    5 KB (696 words) - 13:01, 20 September 2024
  • ...Marcin Szweda, Roman Wituła: "Variations on the arbelos". In: ''Journal of Applied Mathematics and Computational Mechanics'', Volume 16, Issue 2, 2017, pp. 12 *The [[Arc (geometry)|arc]] length of the outer parabola is equal to the sum of the arc lengths ...
    4 KB (574 words) - 02:04, 7 April 2024
  • In [[geometry]], the '''exsphere''' of a face of a regular polyhedron is the sphere outsi Applied to the geometry of the [[Tetrahedron]] of edge length {{math|a}}, ...
    4 KB (607 words) - 14:49, 3 September 2021
  • {{Short description|Differential geometry term}} {{For|twists of curves in algebraic geometry|twists of elliptic curves}} ...
    4 KB (605 words) - 19:57, 30 January 2025
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