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...s a '''list of [[equation]]s''', by Wikipedia page under appropriate bands of their field. ==Eponymous equations== ...

{{Short description|Type of ordinary differential equation}} {{Differential equations}} ...

{{Short description|Operator equation in the style of Fredholm theory}} ....<ref>{{Cite book|last=Polyanin|first=Andrei D.|title=Handbook of Integral Equations|last2=Manzhirov|first2=Alexander V.|publisher=Chapman and Hall/CRC|year=200 ...

{{short description|Schrödinger equation of a fictitious system of non-interacting particles}} ...of electrons, which helps scientists understand and predict the properties of matter at the atomic and molecular scale. ...

{{Short description|Type of differential equation}} ...ion|quadratic]] in the unknown function. In other words, it is an equation of the form ...

...is of rotation. <math>\Omega</math> must be large compared to the movement of the solid body in order to make the [[Coriolis force]] large compared to th The [[Navier–Stokes equations]] for steady flow, with zero [[viscosity]] and a body force corresponding t ...

| alma_mater = [[City College of New York]]<br />[[MIT]] | field = [[Mathematics]] ...

|field = [[Mathematics]] ...History |language=en}}</ref><ref>{{Cite web |title=Aleksandr Gelfond - The Mathematics Genealogy Project |url=https://www.mathgenealogy.org/id.php?id=56858 |acces ...

...t description|Second-order partial differential equation describing motion of mechanical system}} ...ationary point]]s of the given [[action (physics)|action functional]]. The equations were discovered in the 1750s by Swiss mathematician [[Leonhard Euler]] and ...

| workplaces = University of Vienna | alma_mater = [[University of Vienna]] ...

...[[differential equation]]s they satisfy, named [[differential operator]]s of the theory (but not intended to include every mathematical [[eponym]]). Nam *[[F. G. Mehler]], student of Dirichlet (Ferdinand): [[Mehler's formula]], [[Mehler–Fock formula]], [[Meh ...

{{Short description|Class of quartic plane curves}} ...se of [[polynomial lemniscate]]s when the [[polynomial]] used has [[degree of a polynomial|degree]] 2. ...

{{Short description|Equation for fixed point of functional composition}} ...röder (mathematician)|Ernst Schröder]] (1841–1902) in 1870 formulated his eponymous equation.]] ...

...ur la théorie du magnétisme en mouvement |trans-title=Memoir on the theory of magnetism in motion | url=https://www.biodiversitylibrary.org/item/55214#pa depending on whether the point ''M'' is located outside, on the surface of, or inside the volume that one is considering.) ''V'' is defined (p.&nbsp; ...

...cientific laws named after people''' ([[eponymous laws]]). For other lists of eponyms, see [[eponym]]. | [[Archimedes's principle]]<br />[[Axiom of Archimedes]]|| Physics<br />[[mathematical analysis|Analysis]]|| [[Archimed ...

{{Short description|Base-dependent property of integers}} ...ber base]] is a <math>p</math>-'''Kaprekar number''' if the representation of its square in that base can be split into two parts, where the second part ...

In mathematics, the '''Helmholtz equation''' is the [[eigenvalue problem]] for the [[Lapla ...|k}} is known as the [[wave number]]. The Helmholtz equation has a variety of applications in physics and other sciences, including the [[wave equation]] ...

...s generalized the work of [[Georg Ohm]]<!-- 1827 --> and preceded the work of [[James Clerk Maxwell]]<!-- 1873 -->. Widely used in [[electrical engineeri ...for DC circuits, and for AC circuits at frequencies where the wavelengths of electromagnetic radiation are very large compared to the circuits. ...

...near dynamical system is stable without solving the system. [[Derivation of the Routh array|The Routh–Hurwitz theorem was proved]] in 1895, and it was ...ub>(''y'')}}, respectively the [[complex number|real and imaginary parts]] of {{math|''f''}} on the imaginary line. ...

{{Short description|3D generalization of the Leibniz integral rule}} ...of integrated quantities and is useful in formulating the basic equations of [[continuum mechanics]]. ...