In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers...

Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and Paul Dirac, each of whom derived the distribution independently...

is its probability distribution is the Dirac delta function), then after time t its location is described by a normal distribution with variance t, which...

numbers. A discrete probability distribution is often represented with Dirac measures, the probability distributions of deterministic random variables...

In mathematics a Dirac structure is a geometric structure generalizing both symplectic structures and Poisson structures, and having several applications...

against any function. Examples of the latter include the Dirac delta function and distributions defined to act by integration of test functions ψ ↦ ∫ U...

Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, is a power-law probability distribution that is...

x = 1. For these limit ratios, the beta distribution becomes a one-point degenerate distribution with a Dirac delta function spike at the right end, x...

mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure that gives the...

,: 112  the Dirac constant: 275  : 726  : xv  (or Dirac's constant: 148  : 604  : 313 ), the Dirac h {\textstyle h} : xviii  (or Dirac's h {\textstyle...

slope at x = 0. As k goes to infinity, the Weibull distribution converges to a Dirac delta distribution centered at x = λ. Moreover, the skewness and coefficient...

magnetic charge started with a paper by the physicist Paul Dirac in 1931. In this paper, Dirac showed that if any magnetic monopoles exist in the universe...

above, both the Bose–Einstein distribution and the Fermi–Dirac distribution approaches the Maxwell–Boltzmann distribution in the limit of high temperature...

not square-integrable. Likewise a position eigenstate would be a Dirac delta distribution, not square-integrable and technically not a function at all. Consequently...

However the pertinent probability distribution in Fermi–Dirac statistics is actually a simple Bernoulli distribution, with the probability factor given...

of many non-interacting fermions. Fermions are particles that obey Fermi–Dirac statistics, like electrons, protons, and neutrons, and, in general, particles...

Bernoulli distribution with only two distinct values or the sum of two different Dirac delta functions (a bi-delta distribution). The distribution of this...

particle physics, a fermion is a subatomic particle that follows Fermi–Dirac statistics. Fermions have a half-odd-integer spin (spin ⁠1/2⁠, spin ⁠3/2⁠...

The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville) is...

thermodynamic variable of the canonical ensemble, determining the probability distribution of states, is the absolute temperature (symbol: T). The ensemble typically...

inverse Gaussian distribution (also known as the Wald distribution) is a two-parameter family of continuous probability distributions with support on (0...

from the Dirac equation, a fundamental equation connecting the electron's spin with its electromagnetic properties. Reduction of the Dirac equation for...

zero or as α approaches zero the distribution will approach a Dirac delta function δ(x − μ). The stable distribution can be restated as the real part...

the relativistic version is called the Lorentz–Dirac force or collectively known as Abraham–Lorentz–Dirac force. The equations are in the domain of classical...

product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions. Given...

support on [ 0 , ∞ ) {\displaystyle [0,\infty )} are shown. The Dirac delta distribution represents the case where everyone has the same wealth (or income);...

the unitary state with position x {\displaystyle x} is the Dirac delta (function) distribution centered at the position x {\displaystyle x} , often denoted...

particles that obey Bose statistics, bosons, was named after Bose, by Paul Dirac. A polymath, he had a wide range of interests in varied fields, including...

book) one derives the so-called distribution functions f {\displaystyle f} for various statistics. In the case of Fermi–Dirac statistics and Bose–Einstein...

statistics, and Fermi–Dirac statistics.) Using the Thomas−Fermi approximation, the number of particles dNE with energy between E and E + dE is: d N E = d g...