• Thumbnail for Configuration space (mathematics)
    In mathematics, a configuration space is a construction closely related to state spaces or phase spaces in physics. In physics, these are used to describe...
    16 KB (2,260 words) - 14:42, 24 May 2025
  • Configuration space may refer to: Configuration space (physics) Configuration space (mathematics), the space of arrangements of points on a topological...
    359 bytes (78 words) - 08:57, 28 August 2020
  • parameters satisfy mathematical constraints, such that the set of actual configurations of the system is a manifold in the space of generalized coordinates...
    10 KB (1,410 words) - 04:28, 26 December 2024
  • Thumbnail for Phase space
    bioengineering, the phase space method is used to visualize multidimensional physiological responses. Configuration space (mathematics) Minisuperspace Phase...
    18 KB (2,123 words) - 04:26, 6 February 2025
  • certain properties Configuration (polytope), special kind of configuration for regular polytopes Configuration space (mathematics), a space representing assignments...
    2 KB (257 words) - 22:14, 30 May 2025
  • Thumbnail for Space (mathematics)
    In mathematics, a space is a set (sometimes known as a universe) endowed with a structure defining the relationships among the elements of the set. A subspace...
    69 KB (9,328 words) - 07:29, 5 June 2025
  • A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described...
    7 KB (803 words) - 22:02, 19 August 2024
  • Thumbnail for Ambient space (mathematics)
    In mathematics, especially in geometry and topology, an ambient space is the space surrounding a mathematical object along with the object itself. For...
    2 KB (258 words) - 00:52, 14 September 2024
  • its distance from the center. Central configurations are studied in n-body problems formulated in Euclidean spaces of any dimension, although only dimensions...
    14 KB (1,607 words) - 21:03, 23 October 2024
  • Thumbnail for Dimension
    High-dimensional spaces frequently occur in mathematics and the sciences. They may be Euclidean spaces or more general parameter spaces or configuration spaces such...
    35 KB (3,931 words) - 01:48, 16 June 2025
  • Thumbnail for Configuration (geometry)
    In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such...
    16 KB (1,692 words) - 01:46, 8 May 2025
  • Thumbnail for Spacetime
    physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into...
    132 KB (19,765 words) - 09:00, 3 June 2025
  • shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics...
    163 KB (15,943 words) - 18:43, 9 June 2025
  • Thumbnail for Euclidean space
    Elements, it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension...
    47 KB (6,970 words) - 22:12, 9 June 2025
  • which the configuration space is a Lie group, or a group of diffeomorphisms, or more generally where some aspect of the configuration space has this group...
    9 KB (995 words) - 13:58, 11 January 2025
  • approximation for a quantum chemical multi-electron system. Mathematically, configuration simply describes the linear combination of Slater determinants...
    6 KB (844 words) - 13:36, 5 June 2025
  • Thumbnail for State space (computer science)
    In computer science, a state space is a discrete space representing the set of all possible configurations of a system. It is a useful abstraction for...
    8 KB (933 words) - 19:28, 16 March 2025
  • Thumbnail for Lens space
    A lens space is an example of a topological space, considered in mathematics. The term often refers to a specific class of 3-manifolds, but in general...
    10 KB (1,520 words) - 02:34, 13 May 2025
  • In the mathematical theory of structural rigidity, the Cayley configuration space of a linkage over a set of its non-edges F {\displaystyle F} , called...
    26 KB (4,169 words) - 08:04, 28 May 2025
  • higher-dimensional) configuration space. A configuration describes the pose of the robot, and the configuration space C is the set of all possible configurations. For...
    25 KB (3,119 words) - 03:16, 20 November 2024
  • Thumbnail for Gauge fixing
    certain transformation, equivalent to a shear along unphysical axes in configuration space. Most of the quantitative physical predictions of a gauge theory...
    28 KB (4,276 words) - 12:06, 3 June 2025
  • Fulton–MacPherson compactification (category Compactification (mathematics))
    compactification by A. Voronov. Fulton, W.; MacPherson, R. (1994). "Compactification of configuration spaces". Annals of Mathematics. 139: 183–225. v t e...
    936 bytes (78 words) - 21:29, 12 May 2024
  • Hilbert space. It is a configuration space of quantum gauge theory. Gauge symmetry (mathematics) Gauge theory Gauge theory (mathematics) Principal bundle Mitter...
    3 KB (536 words) - 02:30, 19 January 2025
  • Thumbnail for Garden of Eden (cellular automaton)
    cellular automaton, a Garden of Eden is a configuration that has no predecessor. It can be the initial configuration of the automaton but cannot arise in any...
    28 KB (3,537 words) - 22:01, 27 March 2025
  • Thumbnail for Root system
    Root system (redirect from Bn (mathematics))
    In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental...
    53 KB (6,237 words) - 09:29, 7 March 2025
  • Thumbnail for Desargues configuration
    them is not part of the configuration. This publication marks the first known appearance of the Petersen graph in the mathematical literature, 12 years before...
    12 KB (1,490 words) - 19:06, 12 October 2024
  • Thumbnail for Topology
    by a manifold called configuration space. In the area of motion planning, one finds paths between two points in configuration space. These paths represent...
    36 KB (4,214 words) - 23:46, 29 May 2025
  • often correspond to singularities, either in the object or in some configuration space. For example, a conic section is degenerate if and only if it has...
    9 KB (1,100 words) - 22:45, 4 April 2025
  • Geometry (redirect from Geometrical space)
    land' and μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position...
    102 KB (10,101 words) - 17:40, 10 June 2025
  • Thumbnail for Levi graph
    Levi graph (category Configurations (geometry))
    space. For every Levi graph, there is an equivalent hypergraph, and vice versa. The Desargues graph is the Levi graph of the Desargues configuration,...
    6 KB (601 words) - 16:47, 27 December 2024