• In differential geometry, a discipline within mathematics, a distribution on a manifold M {\displaystyle M} is an assignment x ↦ Δ x ⊆ T x M {\displaystyle...
    24 KB (3,880 words) - 07:54, 13 July 2024
  • 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. It...
    46 KB (5,964 words) - 21:55, 19 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
  • partial differential equations Probability distribution, the probability of a particular value or value range of a variable Cumulative distribution function...
    5 KB (660 words) - 14:49, 15 November 2022
  • Thumbnail for Contact geometry
    In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying...
    20 KB (2,527 words) - 03:34, 9 December 2024
  • Thumbnail for Information geometry
    Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It...
    10 KB (1,015 words) - 05:34, 3 April 2025
  • Thumbnail for Differential topology
    differential topology is distinct from the closely related field of differential geometry, which concerns the geometric properties of smooth manifolds, including...
    15 KB (1,837 words) - 17:30, 2 May 2025
  • mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology. The term differential is used nonrigorously in calculus...
    26 KB (3,906 words) - 23:59, 22 February 2025
  • manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For...
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  • In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also...
    46 KB (6,755 words) - 22:53, 22 July 2024
  • integral must be 1 if the particle exists. Differential forms are an approach for describing the geometry of curves and surfaces in a coordinate independent...
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  • fundamental to various fields of research such as differential geometry and optimal transport. Elliptic differential equations appear in many different contexts...
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  • methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs)...
    17 KB (1,942 words) - 09:57, 15 April 2025
  • to compute it using a four-quadrant version of the arctan function in a mathematical software library. Differential geometry Polar distribution v t e...
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  • Thumbnail for Stochastic geometry
    wireless networks Mathematical morphology Information geometry Stochastic differential geometry Chayes, J. T.; Chayes, L.; Kotecký, R. (1995). "The analysis...
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  • undergraduate-level textbook for mathematics and physics students on differential geometry, focusing on applications to general relativity. It was written...
    6 KB (677 words) - 19:09, 18 September 2024
  • developments in mathematical analysis and differential geometry, it became clear that the notion of the differential of a function could be extended in a variety...
    32 KB (4,766 words) - 05:06, 4 May 2025
  • Computational Geometry and Applications Journal of Combinatorial Theory, Series B Journal of Computational Geometry Journal of Differential Geometry Journal...
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  • In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...
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  • 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
  • Thumbnail for Shing-Tung Yau
    Shing-Tung Yau (category Differential geometers)
    modern differential geometry and geometric analysis. The impact of Yau's work are also seen in the mathematical and physical fields of convex geometry, algebraic...
    117 KB (10,542 words) - 13:56, 16 April 2025
  • Thumbnail for Shiing-Shen Chern
    Shiing-Shen Chern (category Differential geometers)
    to differential geometry and topology. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and...
    54 KB (6,153 words) - 12:26, 7 May 2025
  • Thumbnail for Differential calculus
    of mathematics, such as complex analysis, functional analysis, differential geometry, measure theory, and abstract algebra. The derivative of f ( x )...
    31 KB (4,452 words) - 08:42, 20 February 2025
  • Thumbnail for Partial differential equation
    also arise from many purely mathematical considerations, such as differential geometry and the calculus of variations; among other notable applications...
    49 KB (6,795 words) - 21:29, 14 May 2025
  • Thumbnail for Numerical methods for ordinary differential equations
    methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs)....
    28 KB (3,916 words) - 07:09, 27 January 2025
  • Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic...
    75 KB (8,785 words) - 22:41, 12 May 2025
  • Thumbnail for Discrete mathematics
    calculus, discrete Fourier transforms, discrete geometry, discrete logarithms, discrete differential geometry, discrete exterior calculus, discrete Morse...
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  • Thumbnail for Kiyosi Itô
    connections between stochastic calculus and differential geometry, known as stochastic differential geometry. He was invited for the International Congress...
    19 KB (1,702 words) - 21:22, 15 March 2025
  • Thumbnail for Geodesic
    Geodesic (category Differential geometry)
    classical differential geometryPages displaying short descriptions of redirect targets Differentiable curve – Study of curves from a differential point of...
    31 KB (4,261 words) - 10:03, 13 April 2025
  • Unit tangent bundle (category Differential topology)
    UTM becomes a Sasakian manifold. Jeffrey M. Lee: Manifolds and Differential Geometry. Graduate Studies in Mathematics Vol. 107, American Mathematical...
    5 KB (881 words) - 22:33, 10 October 2024