• Thumbnail for Discrete measure
    mathematics, more precisely in measure theory, a measure on the real line is called a discrete measure (in respect to the Lebesgue measure) if it is concentrated...
    4 KB (661 words) - 18:10, 17 June 2024
  • Thumbnail for Continuous or discrete variable
    or discrete spectrum Continuous spectrum Count data Discrete-time stochastic process Discrete geometry Discrete mathematics Discrete measure Discrete modelling...
    11 KB (1,327 words) - 10:28, 22 May 2025
  • Thumbnail for Dirac measure
    a measure on the real line is called a discrete measure (in respect to the Lebesgue measure) if its support is at most a countable set. Discrete measure...
    6 KB (640 words) - 04:31, 19 December 2022
  • sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with respect to a discrete measure. Examples include...
    2 KB (278 words) - 16:07, 26 June 2024
  • Thumbnail for Probability mass function
    probability mass function of a discrete random variable X {\displaystyle X} can be seen as a special case of two more general measure theoretic constructions:...
    10 KB (1,539 words) - 19:51, 12 March 2025
  • Thumbnail for Probability theory
    probability theory treat discrete probability distributions and continuous probability distributions separately. The measure theory-based treatment of...
    26 KB (3,591 words) - 11:44, 23 April 2025
  • null. A σ {\displaystyle \sigma } -finite atomic measure μ {\displaystyle \mu } is called discrete if the intersection of the atoms of any atomic class...
    9 KB (1,559 words) - 04:39, 2 February 2025
  • Thumbnail for Discrete mathematics
    Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...
    26 KB (2,771 words) - 14:34, 10 May 2025
  • decomposes a singular measure into a singular continuous measure and a discrete measure. See below for examples. As a particular case, a measure defined on the...
    3 KB (445 words) - 11:09, 12 July 2024
  • Thumbnail for Probability distribution
    {\displaystyle \delta _{\omega }} be the Dirac measure concentrated at ω {\displaystyle \omega } . Given a discrete probability distribution, there is a countable...
    48 KB (6,688 words) - 17:43, 6 May 2025
  • dimensions are used. Discrete time is often employed when empirical measurements are involved, because normally it is only possible to measure variables sequentially...
    10 KB (1,535 words) - 10:04, 10 January 2025
  • Thumbnail for Discrete group
    discrete group is discrete. every quotient of a discrete group is discrete. the product of a finite number of discrete groups is discrete. a discrete...
    7 KB (899 words) - 11:34, 23 October 2024
  • Plancherel measure, such representations have positive measure. The name comes from the fact that they are exactly the representations that occur discretely in...
    10 KB (1,366 words) - 06:20, 28 May 2025
  • Thumbnail for Discrete geometry
    Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric...
    15 KB (1,575 words) - 05:36, 16 October 2024
  • with discrete entropy. In terms of measure theory, the differential entropy of a probability measure is the negative relative entropy from that measure to...
    23 KB (2,842 words) - 23:31, 21 April 2025
  • Thumbnail for Monotonic function
    number (cf. picture). It is the cumulative distribution function of the discrete measure on the rational numbers, where a i {\displaystyle a_{i}} is the weight...
    19 KB (2,471 words) - 01:32, 25 January 2025
  • Thumbnail for Spectrum (physical sciences)
    spectrum domain (such as frequency or wavelength) or discrete if it attains non-zero values only in a discrete set over the independent variable, with band gaps...
    22 KB (2,734 words) - 20:30, 23 May 2025
  • Thumbnail for Discrete Fourier transform
    In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...
    76 KB (12,333 words) - 05:19, 3 May 2025
  • Thumbnail for Pontryagin duality
    be recovered from its discrete Fourier transform. The theory, introduced by Lev Pontryagin and combined with the Haar measure introduced by John von...
    39 KB (5,827 words) - 21:00, 25 May 2025
  • with respect to an additive fuzzy measure reduces to the Lebesgue integral. In discrete cases, a symmetric fuzzy measure will result in the ordered weighted...
    9 KB (1,546 words) - 09:00, 2 March 2025
  • Thumbnail for Random variable
    in the case of continuous random variables, or the counting measure in the case of discrete random variables). The underlying probability space Ω {\displaystyle...
    42 KB (6,634 words) - 15:00, 24 May 2025
  • finance, a risk-neutral measure (also called an equilibrium measure, or equivalent martingale measure) is a probability measure such that each share price...
    16 KB (2,684 words) - 04:31, 23 April 2025
  • Thumbnail for Gauss–Bonnet theorem
    Descartes' theorem is Gauss–Bonnet where the curvature is a discrete measure, and Gauss–Bonnet for measures generalizes both Gauss–Bonnet for smooth manifolds...
    13 KB (1,843 words) - 01:47, 11 December 2024
  • topology) and the real line with the discrete topology is a locally compact group with the product topology and a Haar measure on this group is not inner regular...
    32 KB (5,375 words) - 03:20, 9 June 2025
  • Thumbnail for Probability measure
    mathematics, a probability measure is a real-valued function defined on a set of events in a σ-algebra that satisfies measure properties such as countable...
    7 KB (991 words) - 22:03, 25 May 2025
  • Geometry (redirect from Geometric measure)
    (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as...
    102 KB (10,101 words) - 17:40, 10 June 2025
  • A discrete-event simulation (DES) models the operation of a system as a (discrete) sequence of events in time. Each event occurs at a particular instant...
    18 KB (2,282 words) - 02:30, 25 May 2025
  • Thumbnail for Convolution
    similar to cross-correlation: for real-valued functions, of a continuous or discrete variable, convolution f ∗ g {\displaystyle f*g} differs from cross-correlation...
    67 KB (8,819 words) - 15:20, 10 May 2025
  • Thumbnail for Entropy (information theory)
    both the discrete entropy, where the measure m is the counting measure, and the differential entropy, where the measure m is the Lebesgue measure. If the...
    72 KB (10,220 words) - 13:03, 6 June 2025
  • Wilson polynomials. Discrete orthogonal polynomials are orthogonal with respect to some discrete measure. Sometimes the measure has finite support, in...
    15 KB (2,079 words) - 21:55, 22 May 2025