
related topics 
{math, number, function} 
{rate, high, increase} 
{math, energy, light} 
{household, population, female} 

Not to be confused with the Lorenz curve.
The Cauchy–Lorentz distribution, named after Augustin Cauchy and Hendrik Lorentz, is a continuous probability distribution. As a probability distribution, it is known as the Cauchy distribution, while among physicists, it is known as the Lorentz distribution, Lorentz(ian) function, or Breit–Wigner distribution.
Its importance in physics is due to its being the solution to the differential equation describing forced resonance.^{[1]} In mathematics, it is closely related to the Poisson kernel, which is the fundamental solution for the Laplace equation in the upper halfplane. In spectroscopy, it is the description of the shape of spectral lines which are subject to homogeneous broadening in which all atoms interact in the same way with the frequency range contained in the line shape. Many mechanisms cause homogeneous broadening, most notably collision broadening, and Chantler–Alda radiation.^{[2]}
Contents
Full article ▸


related documents 
Linear model 
Lognormal distribution 
Event (probability theory) 
BoxMuller transform 
Convex hull 
Hidden Markov model 
CYK algorithm 
Harmonic function 
Parity (mathematics) 
Periodic function 
Identity element 
Normal subgroup 
Compilercompiler 
De Moivre's formula 
Nash embedding theorem 
Uncountable set 
Toeplitz matrix 
Congruence relation 
Chomsky normal form 
Euphoria (programming language) 
Linear congruential generator 
PSPACEcomplete 
Simple LR parser 
Quaternion group 
Lagrange's theorem (group theory) 
Divisor 
Deque 
Complement (set theory) 
Logical disjunction 
Greedy algorithm 
