The Poisson–Boltzmann equation plays a role in the development of the Debye–Hückel theory of dilute electrolyte solutions.
Schrödinger equation | Nernst equation | Monge–Ampère equation | Boltzmann equation | Siméon Denis Poisson | Diophantine equation | Poisson | Poisson process | Poisson Distribution | Ordinary differential equation | ordinary differential equation | Young–Laplace equation | Wave equation | wave equation | Vlasov equation | Tait equation | Smoluchowski coagulation equation | Sauerbrey equation | Redlich–Kwong equation of state | Ramanujan–Nagell equation | Quadratic equation | Prony equation | Poisson formula | Poisson distribution | Poisson algebra | Pell's equation | Mathieu's equation | Marchenko equation | Majorana's equation | Linear equation |
It is especially useful for equations such as Bessel's equation where the solutions do not have a simple analytical form, because in such cases the Wronskian is difficult to compute directly.
In 1508, French poet Eloy d'Amerval referred to a poisson d’avril (April fool, literally "April fish"), a possible reference to the holiday.
Other much studied periodic one-dimensional equations are the Kronig–Penney model and Mathieu's equation.
In 1946, Hip Groenewold demonstrated that a general systematic correspondence between quantum commutators and Poisson brackets could not hold consistently.
Calder Farris-- Lieutenant in the United States Army and agent for the United States Department of Defense, a violently patriotic sociopath investigating new weapons technology from non-mainstream scientific sources.
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Becomes semi-divine Lord of the sentient but violent and cannibalistic denizens of the adjacent-universe, heavy-gravity planet called Fiori.
Solution of Majorana's equation yields particles that are their own anti-particle, now referred to as Majorana Fermions.
Then, under Lord North government on Ionian Islands, his talent was remarked and he was sent to study mathematics in Ecole polytechnique, under Biot, Cauchy, Poisson and Fourier.
Very useful in calculating the span width of the bridges like Golden Gate Bridge or Verrazano-Narrows Bridge, their beam cross-sections, etc.
Jane Jensen (b. January 28, 1963 in Palmerton, Pennsylvania) is the game designer of the popular and critically acclaimed Gabriel Knight adventure games and author of the novels Judgment Day and Dante's Equation.
Karl Heun (born 3 April 1859, Wiesbaden; died 10 January 1929, Karlsruhe) was a German mathematician who introduced Heun's equation, Heun functions, and Heun's method.
Lagrange's reversion theorem is used to obtain numerical solutions to Kepler's equation.
His name is attached to Böttcher theorem, in which he introduced Böttcher's equation and solved it under certain assumptions.
Poisson, Liouville, Fourier and others studied partial differential equations and harmonic analysis.
Pell's equation (also known as Brahmagupta equation since he was the first to give a solution to this particular equation) and its variants yield a method for efficiently finding continued fraction convergents of square roots of integers.
In 1973, Yoichiro Nambu suggested a generalization involving Nambu-Poisson manifolds with more than one Hamiltonian.
CrimeStat: CrimeStat has Poisson, Poisson NB1, Poisson-Gamma(negative binomial), and Poisson-Lognormal regression models.
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Stata: Stata has a procedure for Poisson regression named "poisson", and for panel data "xtpoisson"
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SPSS: In SPSS, Poisson regression is done by using the GENLIN command
Madame de Pompadour (1721-1764), Jeanne-Antoinette Poisson, Marquise de Pompadour, mistress of King Louis XV
The system becomes more chaotic as dynamical symmetries are broken by increasing the quantum defect; consequently, the distribution evolves from nearly a Poisson distribution (a) to a Wigner distribution (h).
In a large range of random graphs of order n and size M(n) the distribution of the number of tree components of order k is asymptotically Poisson.
In economics, Rosser's equation (named after J. Barkley Rosser, Jr.) calculates future US Social Security Administration Trust Fund balances and payments as the ratio of benefit payments in real terms for a given income level to be received the year after the Trust Fund would be exhausted, to those of the same income level for an initial year.
The series expansion around a fixed point and the relevant convergence properties of the solution for the resulting orbit and its analyticity properties are cogently summarized by Szekeres.
A poisson-distributed random variable is usually used to describe the random number of events occuring over a certain time interval.
He visited Étaples several times, where the port’s hustle and bustle offered him lively subjects, illustrated by canvases such as L’Arrivée du poisson and Retour des pêcheuses de crevettes, exhibited respectively at the 1907 and 1908 Salons.