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...

or discrete spectrum Continuous spectrum Count data Discrete-time stochastic process Discrete geometry Discrete mathematics Discrete measure Discrete modelling...

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...

sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with respect to a discrete measure. Examples include...

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:...

probability theory treat discrete probability distributions and continuous probability distributions separately. The measure theory-based treatment of...

null. A σ {\displaystyle \sigma } -finite atomic measure μ {\displaystyle \mu } is called discrete if the intersection of the atoms of any atomic class...

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

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...

{\displaystyle \delta _{\omega }} be the Dirac measure concentrated at ω {\displaystyle \omega } . Given a discrete probability distribution, there is a countable...

dimensions are used. Discrete time is often employed when empirical measurements are involved, because normally it is only possible to measure variables sequentially...

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...

Plancherel measure, such representations have positive measure. The name comes from the fact that they are exactly the representations that occur discretely in...

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric...

with discrete entropy. In terms of measure theory, the differential entropy of a probability measure is the negative relative entropy from that measure to...

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...

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...

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

be recovered from its discrete Fourier transform. The theory, introduced by Lev Pontryagin and combined with the Haar measure introduced by John von...

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...

in the case of continuous random variables, or the counting measure in the case of discrete random variables). The underlying probability space Ω {\displaystyle...

finance, a risk-neutral measure (also called an equilibrium measure, or equivalent martingale measure) is a probability measure such that each share price...

Descartes' theorem is Gauss–Bonnet where the curvature is a discrete measure, and Gauss–Bonnet for measures generalizes both Gauss–Bonnet for smooth manifolds...

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...

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...

(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...

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...

similar to cross-correlation: for real-valued functions, of a continuous or discrete variable, convolution f ∗ g {\displaystyle f*g} differs from cross-correlation...

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...

Wilson polynomials. Discrete orthogonal polynomials are orthogonal with respect to some discrete measure. Sometimes the measure has finite support, in...