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an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word equation and...

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...

The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system. Its discovery...

The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves...

The sunrise equation or sunset equation can be used to derive the time of sunrise or sunset for any solar declination and latitude in terms of local solar...

field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter-energy within it. The equations were...

Navier–Stokes equations (/nævˈjeɪ ˈstoʊks/ nav-YAY STOHKS) describe the motion of viscous fluids. This system of partial differential equations was named...

In algebra, a cubic equation in one variable is an equation of the form a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is...

Maxwell's equations are a set of coupled partial differential equations that describe how electric and magnetic fields are generated by electric charges...

Poisson's equation is an elliptic partial differential equation of broad utility in theoretical physics. For example, the solution to Poisson's equation is the...

The Drake equation is a probabilistic argument used to estimate the number of active, communicative extraterrestrial civilizations in the Milky Way Galaxy...

A Bellman equation, named after Richard E. Bellman, is a technique in dynamic programming which breaks an optimization problem into a sequence of simpler...

In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle...

In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its...

Characteristic equation may refer to: Characteristic equation (calculus), used to solve linear differential equations Characteristic equation, the equation obtained...

In mathematics, a linear equation is an equation that may be put in the form a 1 x 1 + … + a n x n + b = 0 , {\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0...

The Monod equation is a mathematical model for the growth of microorganisms. It is named for Jacques Monod (1910–1976, a French biochemist, Nobel Prize...

Böttcher's equation, named after Lucjan Böttcher, is the functional equation F ( h ( z ) ) = ( F ( z ) ) n {\displaystyle F(h(z))=(F(z))^{n}} where h...

specifically thermodynamics), the heat equation is a parabolic partial differential equation. The theory of the heat equation was first developed by Joseph Fourier...

The Tetens equation is an equation to calculate the saturation vapour pressure of water over liquid and ice. It is named after its creator, O. Tetens...

The classical rocket equation, Tsiolkovsky rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that...

Richards equation represents the movement of water in unsaturated soils, and is attributed to Lorenzo A. Richards who published the equation in 1931....

In physics, the Majorana equation is a relativistic wave equation. It is named after the Italian physicist Ettore Majorana, who proposed it in 1937 as...

In fluid dynamics, the Darcy–Weisbach equation is an empirical equation that relates the head loss, or pressure loss, due to viscous shear forces along...

physical chemistry, the Arrhenius equation is a formula for the temperature dependence of reaction rates. The equation was proposed by Svante Arrhenius...

In plasma physics, the Vlasov equation is a differential equation describing the time evolution of the distribution function of a collisionless plasma...

Zakai equation is a linear stochastic partial differential equation for the un-normalized density of a hidden state. In contrast, the Kushner equation gives...

wave equation, the diffusion equation, and the Schrödinger equation for a free particle. In optics, the Helmholtz equation is the wave equation for the...

mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is a x 4 + b x 3 +...

The fundamental accounting equation, also called the balance sheet equation, is the foundation for the double-entry bookkeeping system and the cornerstone...

Diophantine equation is a polynomial equation with integer coefficients, for which only integer solutions are of interest. A linear Diophantine equation equates...

In filtering theory the Kushner equation (after Harold Kushner) is an equation for the conditional probability density of the state of a stochastic non-linear...

The Freundlich equation or Freundlich adsorption isotherm, an adsorption isotherm, is an empirical relationship between the quantity of a gas adsorbed...

Steinmetz's equation, sometimes called the power equation, is an empirical equation used to calculate the total power loss (core losses) per unit volume...

The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian...

The Ishimori equation is a partial differential equation proposed by the Japanese mathematician Ishimori (1984). Its interest is as the first example...

up equation in Wiktionary, the free dictionary. An equation in mathematics is a formula stating that two expressions have the same value. Equation may...

The Inhour equation used in nuclear reactor kinetics to relate reactivity and the reactor period. Inhour is short for "inverse hour" and is defined as...

The Equation Group, also known in China as APT-C-40, is a highly sophisticated threat actor known to be the Tailored Access Operations (TAO) unit of the...

equation is an integrable nonlinear partial differential equation introduced by the mathematician Clifford Gardner in 1968 to generalize KdV equation...

mechanics and information theory, the Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability...

In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives...

This constraint allows the calculation of the equations of motion of the system using Lagrange's equations. Newton's laws and the concept of forces are...

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...

A milepost equation, milepoint equation, or postmile equation is a place where mileposts on a linear feature, such as a highway or rail line, fail to increase...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...

Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form x 2 − n y 2 = 1 , {\displaystyle x^{2}-ny^{2}=1,} where...

Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas...

In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

In electrochemistry, the Nernst equation is a chemical thermodynamical relationship that permits the calculation of the reduction potential of a reaction...

dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the...

speed increases, it was Leonhard Euler in 1752 who derived Bernoulli's equation in its usual form. Bernoulli's principle can be derived from the principle...

The Kawahara equation is a partial differential equation that arises in various fields of mathematical physics, particularly in the study of wave phenomena...

Ruze's equation is an equation relating the gain of an antenna to the root mean square (RMS) of the antenna's random surface errors. The equation was originally...

In mathematics, the biharmonic equation is a fourth-order partial differential equation which arises in areas of continuum mechanics, including linear...

The Eyring equation (occasionally also known as Eyring–Polanyi equation) is an equation used in chemical kinetics to describe changes in the rate of a...

In mathematics, Tanaka's equation is an example of a stochastic differential equation which admits a weak solution but has no strong solution. It is named...

In probability theory, Wald's equation, Wald's identity or Wald's lemma is an important identity that simplifies the calculation of the expected value...

The Scherrer equation, in X-ray diffraction and crystallography, is a formula that relates the size of sub-micrometre crystallites in a solid to the broadening...

A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when...

In physics, a Langevin equation (named after Paul Langevin) is a stochastic differential equation describing how a system evolves when subjected to a combination...

probability, the Belavkin equation, also known as Belavkin-Schrödinger equation, quantum filtering equation, stochastic master equation, is a quantum stochastic...

A chemical equation is the symbolic representation (notation) of a chemical reaction in the form of symbols and chemical formulas. The reactant entities...

system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear...

The Friedmann equations, also known as the Friedmann–Lemaître (FL) equations, are a set of equations in physical cosmology that govern cosmic expansion...

Sellmeier equation is an empirical relationship between refractive index and wavelength for a particular transparent medium. The equation is used to...

In orbital mechanics, Kepler's equation relates various geometric properties of the orbit of a body subject to a central force. It was derived by Johannes...

particular in the theory of solitons, the Dym equation (HD) is the third-order partial differential equation u t = u 3 u x x x . {\displaystyle u_{t}=u^{3}u_{xxx}...

In mathematics, an algebraic equation or polynomial equation is an equation of the form P = 0 {\displaystyle P=0} , where P is a polynomial, usually with...

In particle physics, the Klein–Gordon equation is a relativistic wave equation for spinless particles. It was discovered 1926 as the relativistic generalization...

In applied mathematics, a transcendental equation is an equation over the real (or complex) numbers that is not algebraic, that is, if at least one of...

In mathematics, a parametric equation expresses several quantities, such as the coordinates of a point, as functions of one or more variables called parameters...

In step-growth polymerization, the Carothers equation (or Carothers' equation) gives the degree of polymerization, Xn, for a given fractional monomer conversion...

The Wannier equation describes a quantum mechanical eigenvalue problem in solids where an electron in a conduction band and an electronic vacancy (i.e...

equation is a class of semi-empirical correlations describing the relation between vapor pressure and temperature for pure substances. The equation was...

The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium;...

the theory of evolution and natural selection, the Price equation (also known as Price's equation or Price's theorem) describes how a "characteristic" of...

convection–diffusion equation is a parabolic partial differential equation that combines the diffusion and convection (advection) equations. It describes physical...

In mathematics, a linear differential equation is a differential equation that is linear in the unknown function and its derivatives, so it can be written...

Archard wear equation is a simple model used to describe sliding wear and is based on the theory of asperity contact. The Archard equation was developed...

An eikonal equation (from Greek εἰκών, image) is a non-linear first-order partial differential equation that is encountered in problems of wave propagation...

The Hamilton-Jacobi-Bellman (HJB) equation is a nonlinear partial differential equation that provides necessary and sufficient conditions for optimality...

The Duffing equation (or Duffing oscillator), named after Georg Duffing (1861–1944), is a non-linear second-order differential equation used to model...

acidic chemical solutions can be estimated using the Henderson-Hasselbalch Equation: pH = p K a + log 10 ⁡ ( [ Base ] [ Acid ] ) {\displaystyle {\ce {pH}}={\ce...

classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose solutions are stationary points of...

and integral equations are functional equations. However, a more restricted meaning is often used, where a functional equation is an equation that relates...

integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may thus be...

In Combustion, G equation is a scalar G ( x , t ) {\displaystyle G(\mathbf {x} ,t)} field equation which describes the instantaneous flame position, introduced...

The equation of time describes the discrepancy between two kinds of solar time. The two times that differ are the apparent solar time, which directly tracks...

The Gross–Pitaevskii equation (GPE, named after Eugene P. Gross and Lev Petrovich Pitaevskii) describes the ground state of a quantum system of identical...

The Harris–Benedict equation (also called the Harris-Benedict principle) is a method used to estimate an individual's basal metabolic rate (BMR). The estimated...

The Avrami equation describes how solids transform from one phase to another at constant temperature. It can specifically describe the kinetics of crystallisation...

In fluid dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard...

Tafel equation is an equation in electrochemical kinetics relating the rate of an electrochemical reaction to the overpotential. The Tafel equation was...

differential equations, a Monge equation, named after Gaspard Monge, is a type of first-order partial differential equation. A Monge equation is a function...

the equation becomes an equality. A solution of an equation is often called a root of the equation, particularly but not only for polynomial equations. The...

Anti-Life Equation is a fictional concept appearing in American comic books published by DC Comics. Various comics have defined the equation in different...

In chemistry, the rate equation (also known as the rate law or empirical differential rate equation) is an empirical differential mathematical expression...

The Ergun equation, derived by the Turkish chemical engineer Sabri Ergun in 1952, expresses the friction factor in a packed column as a function of the...

In physics, chemistry, and related fields, master equations are used to describe the time evolution of a system that can be modeled as being in a probabilistic...

In mathematics, k-Hessian equations (or Hessian equations for short) are partial differential equations (PDEs) based on the Hessian matrix. More specifically...

Victor Henri's fundamental equation of enzyme kinetics, which was established in 1902. It takes the form of a differential equation describing the reaction...

In mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and...

(0.171 moles of NaCl). Mathematically this relationship can be shown by equation: c 1 V 1 = c 2 V 2 {\displaystyle c_{1}V_{1}=c_{2}V_{2}} where c1 = initial...

An elliptic equation can mean: The equation of an ellipse An elliptic curve, describing the relationships between invariants of an ellipse A differential...

In organic chemistry, the Hammett equation describes a linear free-energy relationship relating reaction rates and equilibrium constants for many reactions...

The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical...

Logistic equation can refer to: Logistic function, a common S-shaped equation and curve with applications in a wide range of fields. Logistic map, a nonlinear...

a given temperature. Another similar equation based on more recent data is the Arden Buck equation. This equation is named after the authors of the original...

diagnostic equation (or diagnostic model) is an equation (or model) that links the values of these variables simultaneously, either because the equation (or...

drag equation is a formula used to calculate the force of drag experienced by an object due to movement through a fully enclosing fluid. The equation is:...

In biochemistry and pharmacology, the Hill equation refers to two closely related equations that reflect the binding of ligands to macromolecules, as a...

Helmholtz equation in spherical coordinates. Bessel's equation arises when finding separable solutions to Laplace's equation and the Helmholtz equation in cylindrical...

In computational mathematics, a stiff equation is an initial value problem u ˙ = f ( u ) , u ( 0 ) = u 0 , t ∈ [ 0 , T ] , {\displaystyle {\dot {u}}=f(u)\...

In quantum mechanics, the Pauli equation or Schrödinger–Pauli equation is the formulation of the Schrödinger equation for spin-1/2 particles, which takes...

The vorticity equation of fluid dynamics describes the evolution of the vorticity ω of a particle of a fluid as it moves with its flow; that is, the local...

arises from special relativity, has been called "the world's most famous equation". He received the 1921 Nobel Prize in Physics for "his services to theoretical...

Lewin's equation, B = f(P, E), is a heuristic formula proposed by psychologist Kurt Lewin as an explanation of what determines behavior. The formula states...

In computer graphics, the rendering equation is an integral equation that expresses the amount of light leaving a point on a surface as the sum of emitted...

In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given...

The Edwards equation in organic chemistry is a two-parameter equation for correlating nucleophilic reactivity, as defined by relative rate constants,...

In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism...

In optics, Cauchy's transmission equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent...

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example...

Otherwise, Euler's equation may refer to a non-differential equation, as in these three cases: Euler–Lotka equation, a characteristic equation employed in mathematical...

the Morison equation is a semi-empirical equation for the inline force on a body in oscillatory flow. It is sometimes called the MOJS equation after all...

Liouville's equation in dynamical systems, see Liouville's theorem (Hamiltonian). For Liouville's equation in quantum mechanics, see Von Neumann equation. For...

distinct equations: the Kolmogorov forward equation for continuous processes, now understood to be identical to the Fokker–Planck equation, the Kolmogorov...

In mathematics, a recurrence relation is an equation according to which the n {\displaystyle n} th term of a sequence of numbers is equal to some combination...

validity of the Debye–Hückel equation. This equation, together with Specific ion interaction theory (SIT) and Pitzer equations is important for the understanding...

The Kapustinskii equation calculates the lattice energy UL for an ionic crystal, which is experimentally difficult to determine. It is named after Anatoli...

endocapillary layer is called the endothelial glycocalyx. The Starling equation describes that relationship in mathematical form and can be applied to...

In mathematics, Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e}...

Leeson's equation is an empirical expression that describes an oscillator's phase noise spectrum. Leeson's expression for single-sideband (SSB) phase noise...

In physics and engineering, a constitutive equation or constitutive relation is a relation between two or more physical quantities (especially kinetic...

Hamilton's equations consist of 2n first-order differential equations, while Lagrange's equations consist of n second-order equations. Hamilton's equations usually...

Raychaudhuri equation, or Landau–Raychaudhuri equation, is a fundamental result describing the motion of nearby bits of matter. The equation is important...

In nuclear physics, the Bateman equation is a mathematical model describing abundances and activities in a decay chain as a function of time, based on...

The Kelvin equation describes the change in vapour pressure due to a curved liquid–vapor interface, such as the surface of a droplet. The vapor pressure...

quadratic equation. Other ways of solving quadratic equations, such as completing the square, yield the same solutions. Given a general quadratic equation of...

In gas dynamics, Chaplygin's equation, named after Sergei Alekseevich Chaplygin (1902), is a partial differential equation useful in the study of transonic...

Wheeler–DeWitt equation for theoretical physics and applied mathematics, is a field equation attributed to John Archibald Wheeler and Bryce DeWitt. The equation attempts...

In mathematics, the Beltrami equation, named after Eugenio Beltrami, is the partial differential equation ∂ w ∂ z ¯ = μ ∂ w ∂ z . {\displaystyle {\frac...

equation (named after Ronald Fisher , Andrey Kolmogorov, Ivan Petrovsky, and Nikolai Piskunov) also known as the Fisher equation, Fisher–KPP equation...

The Kozeny–Carman equation (or Carman–Kozeny equation or Kozeny equation) is a relation used in the field of fluid dynamics to calculate the pressure drop...

context of physical (and especially geophysical) simulation, a prognostic equation predicts the value of variables for some time in the future on the basis...

In mathematical physics, the Whitham equation is a non-local model for non-linear dispersive waves. The equation is notated as follows: ∂ η ∂ t + α η...

In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically...

In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics...

A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution...

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior...

In financial mathematics and economics, the Fisher equation expresses the relationship between nominal interest rates, real interest rates, and inflation...

Black's equation is a mathematical model for the mean time to failure (MTTF) of a semiconductor circuit due to electromigration: a phenomenon of molecular...

In fluid dynamics, the Knudsen equation is used to describe how gas flows through a tube in free molecular flow. When the mean free path of the molecules...

In mathematics, the Bretherton equation is a nonlinear partial differential equation introduced by Francis Bretherton in 1964: u t t + u x x + u x x x...

mathematical field of differential equations, the ultrahyperbolic equation is a class of partial differential equation (PDE) first described by R. Courant...

In mathematics, the Ince equation, named for Edward Lindsay Ince, is the differential equation w ′ ′ + ξ sin ⁡ ( 2 z ) w ′ + ( η − p ξ cos ⁡ ( 2 z ) )...

methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them...

Bernoulli equation may refer to: Bernoulli differential equation Bernoulli's equation, in fluid dynamics Euler–Bernoulli beam equation, in solid mechanics...

The Lippmann–Schwinger equation (named after Bernard Lippmann and Julian Schwinger) is one of the most used equations to describe particle collisions –...

The term personal equation, in 19th- and early 20th-century science, referred to the idea that different observers have different reaction times, which...

mathematical finance, the Black–Scholes equation, also called the Black–Scholes–Merton equation, is a partial differential equation (PDE) governing the price evolution...

Gassmann's equations are a set of two equations describing the isotropic elastic constants of an ensemble consisting of an isotropic, homogeneous porous...

characteristic equation (or auxiliary equation) is an algebraic equation of degree n upon which depends the solution of a given nth-order differential equation or...

to derive his second law, which in turn is identical to the diffusion equation. Fick's first law: Movement of particles from high to low concentration...

In mathematics, in the field of control theory, a Sylvester equation is a matrix equation of the form: A X + X B = C . {\displaystyle AX+XB=C.} It is...

An equation clock is a mechanical clock which includes a mechanism that simulates the equation of time, so that the user can read or calculate solar time...

The Goldman–Hodgkin–Katz voltage equation, sometimes called the Goldman equation, is used in cell membrane physiology to determine the resting potential...

the Madelung equations, or the equations of quantum hydrodynamics, are Erwin Madelung's alternative formulation of the Schrödinger equation for a spinless...

Symbolic equation is the term used in Kleinian psychoanalysis for states of thinking which equate current objects with those of the past, rather than finding...

The Schamel equation (S-equation) is a nonlinear partial differential equation of first order in time and third order in space. Similar to a Korteweg–De...

The Hazen–Williams equation is an empirical relationship that relates the flow of water in a pipe with the physical properties of the pipe and the pressure...

Hill equation may refer to Hill equation (biochemistry) Hill differential equation This disambiguation page lists articles associated with the title Hill...

system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Deterministic system...

Panofsky–Phillips equation. This equation is related to one of Jefimenko's equations via the continuity equation for charge. A version of Jefimenko's equations with...

The Mark–Houwink equation, also known as the Mark–Houwink–Sakurada equation or the Kuhn–Mark–Houwink–Sakurada equation, gives a relation between intrinsic...

In mathematics, dynamic equation can refer to: difference equation in discrete time differential equation in continuous time time scale calculus in combined...

A parabolic partial differential equation is a type of partial differential equation (PDE). Parabolic PDEs are used to describe a wide variety of time-dependent...

In mathematics, the Korteweg–De Vries (KdV) equation is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow...

In physics, Washburn's equation describes capillary flow in a bundle of parallel cylindrical tubes; it is extended with some issues also to imbibition...

independent equation is an equation in a system of simultaneous equations which cannot be derived algebraically from the other equations. The concept...

"The Equation" is the eighth episode of the first season of the American science fiction drama television series Fringe. The episode follows the Fringe...

thermochemical equation is a balanced chemical equation that represents the energy changes from a system to its surroundings. One such equation involves the...

The Huggins Equation is an empirical equation used to relate the reduced viscosity of a dilute polymer solution to the concentration of the polymer in...

Schofield Equation is a method of estimating the basal metabolic rate (BMR) of adult men and women published in 1985. This is the equation used by the...

The Karplus equation, named after Martin Karplus, describes the correlation between 3J-coupling constants and dihedral torsion angles in nuclear magnetic...

equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation...

master equation, master equation in Lindblad form, quantum Liouvillian, or Lindbladian is one of the general forms of Markovian master equations describing...

motion. The equation describing the relative motion is known as the swing equation, which is a non-linear second order differential equation that describes...

Schröder's equation, named after Ernst Schröder, is a functional equation with one independent variable: given the function h, find the function Ψ such...

Euler–Cauchy equation, also known as a Cauchy–Euler equation, equidimensional equation, or Euler's equation, is a linear ordinary differential equation for which...

The Meissner equation is a linear ordinary differential equation that is a special case of Hill's equation with the periodic function given as a square...

Look up equational in Wiktionary, the free dictionary. Equational may refer to: Equative (disambiguation), a construction in linguistics something pertaining...

Nagasaki in 1945, the equation E = mc2 became directly linked in the public eye with the power and peril of nuclear weapons. The equation was featured on page...

Dispersionless (or quasi-classical) limits of integrable partial differential equations (PDE) arise in various problems of mathematics and physics and have been...

equations are a set of partial differential equations that describe the motion of a collection of stars in a gravitational field. The Jeans equations...

The Penman-Monteith equation approximates net evapotranspiration (ET) from meteorological data as a replacement for direct measurement of evapotranspiration...

In mathematical analysis, Clairaut's equation (or the Clairaut equation) is a differential equation of the form y ( x ) = x d y d x + f ( d y d x ) {\displaystyle...

physics, particularly in quantum field theory, the Weyl equation is a relativistic wave equation for describing massless spin-1/2 particles which have an...

The alveolar gas equation is the method for calculating partial pressure of alveolar oxygen (pAO2). The equation is used in assessing if the lungs are...

Young's equation may refer to: Young–Laplace equation, describes the capillary pressure difference sustained across the interface between two static fluids...

The Binet equation, derived by Jacques Philippe Marie Binet, provides the form of a central force given the shape of the orbital motion in plane polar...

In microeconomics, the Slutsky equation (or Slutsky identity), named after Eugen Slutsky, relates changes in Marshallian (uncompensated) demand to changes...

dynamical systems and differential equations, a Liénard equation is a type of second-order ordinary differential equation named after the French physicist...

The capstan equation or belt friction equation, also known as the Euler-Eytelwein formula describes the tension required to cause slippage of a flexible...

mathematics, a hyperbolic partial differential equation of order n {\displaystyle n} is a partial differential equation (PDE) that, roughly speaking, has a well-posed...

pseudo-Riemannian geometry, the Gauss–Codazzi equations (also called the Gauss–Codazzi–Weingarten-Mainardi equations or Gauss–Peterson–Codazzi formulas) are...

In mathematics, the Chazy equation is the differential equation d 3 y d x 3 = 2 y d 2 y d x 2 − 3 ( d y d x ) 2 . {\displaystyle {\frac {d^{3}y}{dx^{3}}}=2y{\frac...

the Buckley–Leverett equation is a conservation equation used to model two-phase flow in porous media. The Buckley–Leverett equation or the Buckley–Leverett...

In mathematics, the replicator equation is a type of dynamical system used in evolutionary game theory to model how the frequency of strategies in a population...

Stokes equation may refer to: the Airy equation the equations of Stokes flow, a linearised form of the Navier–Stokes equations in the limit of small Reynolds...

2 = r 2 . {\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}.} This equation, known as the equation of the circle, follows from the Pythagorean theorem applied...

In quantum mechanics, the Redfield equation is a Markovian master equation that describes the time evolution of the reduced density matrix ρ of a strongly...

can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, sometimes called the Pythagorean equation: a 2 + b 2 = c 2 ....

The Abel equation, named after Niels Henrik Abel, is a type of functional equation of the form f ( h ( x ) ) = h ( x + 1 ) {\displaystyle f(h(x))=h(x+1)}...

The Shockley diode equation, or the diode law, named after transistor co-inventor William Shockley of Bell Labs, models the exponential current–voltage...

The Purnell equation is an equation used in analytical chemistry to calculate the resolution Rs between two peaks in a chromatogram. R s = N 2 4 ( α −...

Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and...

The Levich equation models the diffusion and solution flow conditions around a rotating disk electrode (RDE). It is named after Veniamin Grigorievich Levich...

mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used in physics...

Structural equation modeling (SEM) is a diverse set of methods used by scientists for both observational and experimental research. SEM is used mostly...

map is a discrete dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2. It is...

The sine-Gordon equation is a second-order nonlinear partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables...

A drainage equation is an equation describing the relation between depth and spacing of parallel subsurface drains, depth of the watertable, depth and...

The shallow-water equations (SWE) are a set of hyperbolic partial differential equations (or parabolic if viscous shear is considered) that describe the...

mean activity coefficients for ions in dilute solution. The Debye–Hückel equation provides a starting point for modern treatments of non-ideality of electrolyte...

replacement of the Schrödinger equation with a covariant equation such as the Klein–Gordon equation or the Dirac equation. While these theories were successful...

Breit equation, or Dirac–Coulomb–Breit equation, is a relativistic wave equation derived by Gregory Breit in 1929 based on the Dirac equation, which...

mathematics, d'Alembert's equation, sometimes also known as Lagrange's equation, is a first order nonlinear ordinary differential equation, named after the French...

(MRI), and electron spin resonance (ESR), the Bloch equations are a set of macroscopic equations that are used to calculate the nuclear magnetization...

The equation is named after Yakov Zeldovich and David A. Frank-Kamenetskii who derived the equation in 1938. The equation is analogous to KPP equation except...

satisfy the equation a2 + b2 = c2. Fermat's equation, xn + yn = zn with positive integer solutions, is an example of a Diophantine equation, named for...

mathematical physics, the Novikov–Veselov equation (or Veselov–Novikov equation) is a nonlinear partial differential equation. It is a two-dimensional analogue...

The Institute of Medicine Equation was published in September 2002. It is the equation which is behind the 2005 Dietary Guidelines for Americans and the...

conservation of momentum leads to equations such as the Navier–Stokes equations for fluids or the Cauchy momentum equation for deformable solids or fluids...

induced current described above. One is the Maxwell–Faraday equation, one of Maxwell's equations, which states that a time-varying magnetic field is always...

The Streeter–Phelps equation is used in the study of water pollution as a water quality modelling tool. The model describes how dissolved oxygen (DO) decreases...

The Exner equation describes conservation of mass between sediment in the bed of a channel and sediment that is being transported. It states that bed elevation...

In statistical physics, the Smoluchowski coagulation equation is a population balance equation introduced by Marian Smoluchowski in a seminal 1916 publication...

Palierne equation connects the dynamic modulus of emulsions with the dynamic modulus of the two phases, size of the droplets and the interphase surface...

An adjoint equation is a linear differential equation, usually derived from its primal equation using integration by parts. Gradient values with respect...

formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description...

functional differential equation is a differential equation with deviating argument. That is, a functional differential equation is an equation that contains a...

Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions of different sets of coordinates on a stochastic process. The equation was...

isotope geochemistry, the Urey–Bigeleisen–Mayer equation, also known as the Bigeleisen–Mayer equation or the Urey model, is a model describing the approximate...

The Human Equation is the sixth album from the progressive rock project Ayreon by Dutch musician Arjen Anthony Lucassen, released on 25 May 2004 via Inside...

The van der Waals equation is an equation of state that relates the pressure, molar volume, and temperature in fluids. It describes both the liquid and...

The Van 't Hoff equation relates the change in the equilibrium constant, Keq, of a chemical reaction to the change in temperature, T, given the standard...

rather than the Kelvin equation. They are both particular cases of the Gibbs Equations of Josiah Willard Gibbs: the Kelvin equation is the constant temperature...

differential geometry and gauge theory, the Nahm equations are a system of ordinary differential equations introduced by Werner Nahm in the context of the...

electrochemistry, the Butler–Volmer equation (named after John Alfred Valentine Butler and Max Volmer), also known as Erdey-Grúz–Volmer equation (after Tibor Erdey-Grúz)...

In mathematics, the discrete Poisson equation is the finite difference analog of the Poisson equation. In it, the discrete Laplace operator takes the place...

finance, Hamada’s equation is an equation used as a way to separate the financial risk of a levered firm from its business risk. The equation combines the...

spacetime. The corresponding equation is a relativistic wave equation called the Proca equation. The Proca action and equation are named after Romanian physicist...

In physics, the Landau–Lifshitz–Gilbert equation (usually abbreviated as LLG equation), named for Lev Landau, Evgeny Lifshitz, and Thomas L. Gilbert,...

The Nernst–Planck equation is a conservation of mass equation used to describe the motion of a charged chemical species in a fluid medium. It extends...

differential equation ⁠ y ′ = k y {\displaystyle y'=ky} ⁠, and every solution of this differential equation has this form. The solutions of an equation of the...

Simultaneous equations models are a type of statistical model in which the dependent variables are functions of other dependent variables, rather than...

mechanics (specifically lubrication theory), the Reynolds equation is a partial differential equation governing the pressure distribution of thin viscous fluid...

In physics, the Yang–Baxter equation (or star–triangle relation) is a consistency equation which was first introduced in the field of statistical mechanics...

The telegrapher's equations (or telegraph equations) are a set of two coupled, linear partial differential equations that model voltage and current along...

to recognize this as the fundamental equation of statistical mechanics. It is referred to as the Liouville equation because its derivation for non-canonical...

A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written...

(one-dimensional) nonlinear Schrödinger equation (NLSE) is a nonlinear variation of the Schrödinger equation. It is a classical field equation whose principal applications...

In mathematics, the Volterra integral equations are a special type of integral equations, named after Vito Volterra. They are divided into two groups referred...

Kompaneyets equation refers to a non-relativistic, Fokker–Planck type, kinetic equation for photon number density with which photons interact with an...

a complex variable, proved its meromorphic continuation and functional equation, and established a relation between its zeros and the distribution of prime...

fluid mechanics, the Tait equation is an equation of state, used to relate liquid density to hydrostatic pressure. The equation was originally published...

2; that is, as the set of points whose coordinates satisfy a quadratic equation in two variables which can be written in the form A x 2 + B x y + C y 2...

quantum chemistry, the Hartree equations or the self-consistent field approximation are a set of non-linear equations used to study many-electron systems...

and a characteristic length or characteristic dimension (L in the above equation). This dimension is a matter of convention—for example radius and diameter...

products are all in their thermodynamic standard states, then the defining equation is written as Δ G ∘ = Δ H ∘ − T Δ S ∘ {\displaystyle \Delta G^{\circ }=\Delta...

four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of...

essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not considered as belonging...

gram is larger than an hour is meaningless. Any physically meaningful equation or inequality must have the same dimensions on its left and right sides...

theoretical physics and applied mathematics, a field equation is a partial differential equation which determines the dynamics of a physical field, specifically...

An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous time...

In mathematics, a modular equation is an algebraic equation satisfied by moduli, in the sense of moduli problems. That is, given a number of functions...

The Poisson–Boltzmann equation describes the distribution of the electric potential in solution in the presence of one or more charged surfaces. This distribution...

The van Deemter equation in chromatography, named for Jan van Deemter, relates the variance per unit length of a separation column to the linear mobile...

The Media Equation is a general communication theory that claims people tend to assign human characteristics to computers and other media, and treat them...

and ⁠ ψ {\displaystyle \psi } ⁠ are the two solutions of the quadratic equation ⁠ x 2 − x − 1 = 0 {\displaystyle \textstyle x^{2}-x-1=0} ⁠, that is, ⁠...

In algebra, a septic equation is an equation of the form a x 7 + b x 6 + c x 5 + d x 4 + e x 3 + f x 2 + g x + h = 0 , {\displaystyle...

In number theory, the optic equation is an equation that requires the sum of the reciprocals of two positive integers a and b to equal the reciprocal...

In metallurgy, the Darken equations are used to describe the solid-state diffusion of materials in binary solutions. They were first described by Lawrence...

The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium...

In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form y ′ + P ( x ) y = Q ( x ) y n , {\displaystyle...

theorem, and follows from the equation x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} for the unit circle. This equation can be solved for either the sine...

In metallurgy, the Scheil-Gulliver equation (or Scheil equation) describes solute redistribution during solidification of an alloy. Four key assumptions...

Used in hydrogeology, the groundwater flow equation is the mathematical relationship which is used to describe the flow of groundwater through an aquifer...

inverse scattering problem, the Marchenko equation (or Gelfand-Levitan-Marchenko equation or GLM equation), named after Israel Gelfand, Boris Levitan...

The Arden Buck equations are a group of empirical correlations that relate the saturation vapor pressure to temperature for moist air. The curve fits...

In physics, the acoustic wave equation is a second-order partial differential equation that governs the propagation of acoustic waves through a material...

equation are also solutions of the Schrödinger equation. This follows from the fact that the Schrödinger equation is a linear differential equation in...

costate equation is related to the state equation used in optimal control. It is also referred to as auxiliary, adjoint, influence, or multiplier equation. It...

H2O2 + 2 e− → 2 OH− Here the overall equation involves adding the reduction equation to twice the oxidation equation, so that the electrons cancel: 2 Fe2+...

Churchill–Bernstein equation is used to estimate the surface averaged Nusselt number for a cylinder in cross flow at various velocities. The need for the equation arises...

Huber's equation, first derived by a Polish engineer Tytus Maksymilian Huber, is a basic formula in elastic material tension calculations, an equivalent...

In crystallography and solid state physics, the Laue equations relate incoming waves to outgoing waves in the process of elastic scattering, where the...

Landau kinetic equation is a transport equation of weakly coupled charged particles performing Coulomb collisions in a plasma. The equation was derived by...

inhomogeneous problems for linear evolution equations like the heat equation, wave equation, and vibrating plate equation. In this setting, the method is more...

In physics, the Callan–Symanzik equation is a differential equation describing the evolution of the n-point correlation functions under variation of the...

In mathematics, LHS is informal shorthand for the left-hand side of an equation. Similarly, RHS is the right-hand side. The two sides have the same value...

The equation is a solution to Einstein's equations from general relativity for a spherically symmetric, time-invariant metric. With a given equation of...

solution of Lamé's equation, a second-order ordinary differential equation. It was introduced in the paper (Gabriel Lamé 1837). Lamé's equation appears in the...

The Sackur–Tetrode equation is an expression for the entropy of a monatomic ideal gas. It is named for Hugo Martin Tetrode (1895–1931) and Otto Sackur...

In mathematics, the Benjamin–Ono equation is a nonlinear partial integro-differential equation that describes one-dimensional internal waves in deep water...

towards the surface element, while the normal vector points outward. The equation has meaning in that, for any surface S in contact with the fluid, the total...

In geometry, the Cesàro equation of a plane curve is an equation relating the curvature (κ) at a point of the curve to the arc length (s) from the start...

or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac {L}{1+e^{-k(x-x_{0})}}}}...

The Kundu equation is a general form of integrable system that is gauge-equivalent to the mixed nonlinear Schrödinger equation. It was proposed by Anjan...

In mathematics, Chrystal's equation is a first order nonlinear ordinary differential equation, named after the mathematician George Chrystal, who discussed...

In thermodynamics, the Gibbs–Duhem equation describes the relationship between changes in chemical potential for components in a thermodynamic system:...

A matrix difference equation is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related...

Lévy-Leblond equation describes the dynamics of a spin-1/2 particle. It is a linearized version of the Schrödinger equation and of the Pauli equation. It was...

The Appleton–Hartree equation, sometimes also referred to as the Appleton–Lassen equation, is a mathematical expression that describes the refractive index...

386919. Del Grosso, V. A. (1974). "New equation for speed of sound in natural waters (with comparisons to other equations)". Journal of the Acoustical Society...

Buckmaster equation is a second-order nonlinear partial differential equation, named after John D. Buckmaster, who derived the equation in 1977. The equation models...

quantum Boltzmann equation, also known as the Uehling–Uhlenbeck equation, is the quantum mechanical modification of the Boltzmann equation, which gives the...

In mathematics, Carleman's equation is a Fredholm integral equation of the first kind with a logarithmic kernel. Its solution was first given by Torsten...

HH equation may refer to: Henderson–Hasselbalch equation Hodgkin–Huxley model This disambiguation page lists articles associated with the title HH equation...

The Gibbs–Helmholtz equation is a thermodynamic equation used to calculate changes in the Gibbs free energy of a system as a function of temperature. It...

Symbolically, this process can be expressed by the following differential equation, where N is the quantity and λ (lambda) is a positive rate called the exponential...

In glaciology and civil engineering, Stefan's equation (or Stefan's formula) describes the dependence of ice-cover thickness on the temperature history...

The Benedict–Webb–Rubin equation (BWR), named after Manson Benedict, G. B. Webb, and L. C. Rubin, is an equation of state used in fluid dynamics. Working...

In geometry, an intrinsic equation of a curve is an equation that defines the curve using a relation between the curve's intrinsic properties, that is...

geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes three...

Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently used...

The God Equation: The Quest for a Theory of Everything is a popular science book by the futurist and physicist Michio Kaku. The book was initially published...

The Pandolf equation is an empirical equation for predicting the metabolic cost of load carriage and estimating energy expenditure while standing or walking...

In astrophysics, the Tolman–Oppenheimer–Volkoff (TOV) equation constrains the structure of a spherically symmetric body of isotropic material which is...

In physics and thermodynamics, the Redlich–Kwong equation of state is an empirical algebraic equation that relates temperature, pressure, and volume of...

\over n}} The equation defining a plane curve expressed in polar coordinates is known as a polar equation. In many cases, such an equation can simply be...

in 1906 in their works on Brownian motion. The more general form of the equation in the classical case is D = μ k B T , {\displaystyle D=\mu \,k_{\text{B}}T...

Cauchy's functional equation is the functional equation: f ( x + y ) = f ( x ) + f ( y ) . {\displaystyle f(x+y)=f(x)+f(y).} A function f {\displaystyle...

A crack growth equation is used for calculating the size of a fatigue crack growing from cyclic loads. The growth of a fatigue crack can result in catastrophic...

In astrodynamics, an orbit equation defines the path of orbiting body m 2 {\displaystyle m_{2}\,\!} around central body m 1 {\displaystyle m_{1}\,\!} relative...

definition is in terms of solutions to Legendre's differential equation: This differential equation has regular singular points at x = ±1 so if a solution is...

Fractional differential equations, also known as extraordinary differential equations, are a generalization of differential equations through the application...

imaginary unit and satisfying the equation i 2 = − 1 {\displaystyle i^{2}=-1} ; because no real number satisfies the above equation, i was called an imaginary...

The Scatchard equation is an equation used in molecular biology to calculate the affinity and number of binding sites of a receptor for a ligand. It is...

The Davies equation is an empirical extension of Debye–Hückel theory which can be used to calculate activity coefficients of electrolyte solutions at relatively...

Defining equation may refer to: Defining equation (physical chemistry) Physical quantity This disambiguation page lists articles associated with the title...

The omega equation is a culminating result in synoptic-scale meteorology. It is an elliptic partial differential equation, named because its left-hand...

The Fresnel equations (or Fresnel coefficients) describe the reflection and transmission of light (or electromagnetic radiation in general) when incident...

differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a vector bundle or principal...

(real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind. A second-order equation for the unknown function...

In crystallography, the Sayre equation, named after David Sayre who introduced it in 1952, is a mathematical relationship that allows one to calculate...

In astrodynamics, the vis-viva equation is one of the equations that model the motion of orbiting bodies. It is the direct result of the principle of conservation...

The Born–Landé equation is a means of calculating the lattice energy of a crystalline ionic compound. In 1918 Max Born and Alfred Landé proposed that the...

in 1946. The formula is sometimes referenced as the Friis transmission equation. Friis' original idea behind his transmission formula was to dispense with...

master equations, equations that describe the evolution of probabilistic combination of states. Quantum master equations are differential equations for a...

In mathematics, an implicit equation is a relation of the form R ( x 1 , … , x n ) = 0 , {\displaystyle R(x_{1},\dots ,x_{n})=0,} where R is a function...

similarities give the following equations and combining these results gives the Newtonian form of the lens equation. y 1 x 1 = | y 2 | f y 1 f = | y...

ionization equation is an expression that relates the ionization state of a gas in thermal equilibrium to the temperature and pressure. The equation is a result...

is a polynomial of degree six. A sextic equation is a polynomial equation of degree six—that is, an equation whose left hand side is a sextic polynomial...

reciprocal plot) is a graphical representation of the Michaelis–Menten equation of enzyme kinetics, described by Hans Lineweaver and Dean Burk in 1934...

logarithmic Schrödinger equation (sometimes abbreviated as LNSE or LogSE) is one of the nonlinear modifications of Schrödinger's equation, first proposed by...

classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid...

comparametric equation is an equation that describes a parametric relationship between a function and a dilated version of the same function, where the equation does...

form of a stochastic difference equation (or recurrence relation) which should not be confused with a differential equation. Together with the moving-average...

differential equations are a class of models in machine learning that combine neural networks with the mathematical framework of differential equations. These...

mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems...

Hudson's equation, also known as Hudson formula, is an equation used by coastal engineers to calculate the minimum size of riprap (armourstone) required...

differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation. A differential...

The Cahn–Hilliard equation (after John W. Cahn and John E. Hilliard) is an equation of mathematical physics which describes the process of phase separation...

quantitative relationships in science and mathematics are expressed as algebraic equations. In mathematics, a basic algebraic operation is a mathematical operation...

The associativity equation or associativity functional equation is the functional equation F ( F ( x , y ) , z ) = F ( x , F ( y , z ) ) {\displaystyle...

Steinhart–Hart equation is a model relating the varying electrical resistance of a semiconductor to its varying temperatures. The equation is 1 T = A +...

revolutions per minute, the above equation gives power in foot pounds-force per minute. The horsepower form of the equation is then derived by applying the...

The primitive equations are a set of nonlinear partial differential equations that are used to approximate global atmospheric flow and are used in most...

In plasma physics, the Hasegawa–Mima equation, named after Akira Hasegawa and Kunioki Mima, is an equation that describes a certain regime of plasma,...

The Allen–Cahn equation (after John W. Cahn and Sam Allen) is a reaction–diffusion equation of mathematical physics which describes the process of phase...

coefficients (also known as a linear recurrence relation or linear difference equation) sets equal to 0 a polynomial that is linear in the various iterates of...

In mathematics, the Euler–Poisson–Darboux (EPD) equation is the partial differential equation u x , y + N ( u x + u y ) x + y = 0. {\displaystyle u_{x...

In physics, Torricelli's equation, or Torricelli's formula, is an equation created by Evangelista Torricelli to find the final velocity of a moving object...

Nordheim. A family of approximate equations, Fowler–Nordheim equations, is named after them. Strictly, Fowler–Nordheim equations apply only to field emission...

The Grad–Shafranov equation (Vitalii Dmitrievich Shafranov (1957); H. Grad and H. Rubin (1958)) is the equilibrium equation in ideal magnetohydrodynamics...

In cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number w {\displaystyle w} , equal to the ratio of its pressure...

In statistics and uncertainty analysis, the Welch–Satterthwaite equation is used to calculate an approximation to the effective degrees of freedom of a...

an irreversible form. That is, there are no product terms in the rate equation which can be problematic for those wishing to build metabolic models since...

mathematics, the Kuramoto–Sivashinsky equation (also called the KS equation) is a partial differential equation used to model complex patterns and chaotic...

Flory–Fox equation is a simple empirical formula that relates molecular weight to the glass transition temperature of a polymer system. The equation was first...

The Penman equation describes evaporation (E) from an open water surface, and was developed by Howard Penman in 1948. Penman's equation requires daily...

simply a curve given by an equation of this form. (When the coefficient field has characteristic 2 or 3, the above equation is not quite general enough...

mechanics (RQM) and its applications to particle physics, relativistic wave equations predict the behavior of particles at high energies and velocities comparable...

variables within the equation are the same as those defined for Sabine's equation. The Eyring reverberation time is given by the equation: T 60 ≈ − 0.161  ...

In electrochemistry, the Randles–Ševčík equation describes the effect of scan rate on the peak current (ip) for a cyclic voltammetry experiment. For simple...

In geophysics and reflection seismology, the Zoeppritz equations are a set of equations that describe the partitioning of seismic wave energy at an interface...

The Blackwell-Girshick equation is an equation in probability theory that allows for the calculation of the variance of random sums of random variables...

the equation for this process is: CO2carbon dioxide + 2H2Owater + photonslight energy → [CH2O]carbohydrate + O2oxygen + H2Owater This equation emphasizes...

The Cauchy momentum equation is a vector partial differential equation put forth by Augustin-Louis Cauchy that describes the non-relativistic momentum...

Continuity equation Constitutive equation Defining equation (physical chemistry) List of equations in classical mechanics Table of thermodynamic equations List...

Cauchy–Riemann equations are two partial differential equations that characterize differentiability of complex functions. The equations are and where u(x...

The Taft equation is a linear free energy relationship (LFER) used in physical organic chemistry in the study of reaction mechanisms and in the development...

The governing equations of a mathematical model describe how the values of the unknown variables (i.e. the dependent variables) change when one or more...

In mathematics, the term exact equation can refer either of the following: Exact differential equation Exact differential form This disambiguation page...

The Stuart–Landau equation describes the behavior of a nonlinear oscillating system near the Hopf bifurcation, named after John Trevor Stuart and Lev Landau...

physics, the Kadomtsev–Petviashvili equation (often abbreviated as KP equation) is a partial differential equation to describe nonlinear wave motion. Named...

The Kohn-Sham equations are a set of mathematical equations used in quantum mechanics to simplify the complex problem of understanding how electrons behave...

Dante's Equation is a 2003 science fiction adventure novel by American writer Jane Jensen. It earned a Philip K. Dick Award Special Citation. During the...

In modern times indeterminate equations are often called Diophantine equations. An example linear indeterminate equation arises from imagining two equally...

In statistics, the method of estimating equations is a way of specifying how the parameters of a statistical model should be estimated. This can be thought...

dynamics, Hicks equation, sometimes also referred as Bragg–Hawthorne equation or Squire–Long equation, is a partial differential equation that describes...

The Goldman–Hodgkin–Katz flux equation (or GHK flux equation or GHK current density equation) describes the ionic flux across a cell membrane as a function...

as described by Faraday's law of induction. Together with Maxwell's equations, which describe how electric and magnetic fields are generated by charges...

The hypsometric equation, also known as the thickness equation, relates an atmospheric pressure ratio to the equivalent thickness of an atmospheric layer...

quintic equation of the form: a x 5 + b x 4 + c x 3 + d x 2 + e x + f = 0. {\displaystyle ax^{5}+bx^{4}+cx^{3}+dx^{2}+ex+f=0.\,} Solving quintic equations in...

non-existent the Navier–Stokes equations can be simplified to a form known as the Euler equations. This simplified equation is derived by considering an...

law is usually expressed mathematically as a continuity equation, a partial differential equation which gives a relation between the amount of the quantity...

The Inglis–Teller equation represents an approximate relationship between the plasma density and the principal quantum number of the highest bound state...

Natural Philosophy' (the Principia)), first published on 5 July 1687. The equation for universal gravitation thus takes the form: F = G m 1 m 2 r 2 , {\displaystyle...

The Batchelor–Chandrasekhar equation is the evolution equation for the scalar functions, defining the two-point velocity correlation tensor of a homogeneous...

displacement current term. The resulting equation, often called the Ampère–Maxwell law, is one of Maxwell's equations that form the foundation of classical...

In physics, the Young–Laplace equation (/ləˈplɑːs/) is an equation that describes the capillary pressure difference sustained across the interface between...

The Bethe–Salpeter equation (BSE, named after Hans Bethe and Edwin Salpeter) is an integral equation, the solution of which describes the structure of...

The derivation of the Navier–Stokes equations as well as their application and formulation for different families of fluids, is an important exercise...

equations (T1) and (T2) that immediately yield (T3). The primed and unprimed tensors refer to the same event in spacetime. Thus the complete equation...

In number theory, the Ramanujan–Nagell equation is an equation between a square number and a number that is seven less than a power of two. It is an example...

A universal differential equation (UDE) is a non-trivial differential algebraic equation with the property that its solutions can approximate any continuous...

The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection...

mathematics, the Kardar–Parisi–Zhang (KPZ) equation is a non-linear stochastic partial differential equation, introduced by Mehran Kardar, Giorgio Parisi...

The collinearity equations are a set of two equations, used in photogrammetry and computer stereo vision, to relate coordinates in a sensor plane (in two...

biology, the Mackey–Glass equations, named after Michael Mackey and Leon Glass, refer to a family of delay differential equations whose behaviour manages...

solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities...

closure relation to solve the Ornstein–Zernike equation. It is also referred to as the Percus–Yevick equation. It is commonly used in fluid theory to obtain...

In mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function. The general first-order, linear...

In astrophysics, the Lane–Emden equation is a dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating...

The Orr–Sommerfeld equation, in fluid dynamics, is an eigenvalue equation describing the linear two-dimensional modes of disturbance to a viscous parallel...

P-recursive equation is a linear equation of sequences where the coefficient sequences can be represented as polynomials. P-recursive equations are linear...

In mathematics, the Loewner differential equation, or Loewner equation, is an ordinary differential equation discovered by Charles Loewner in 1923 in...

^{2}+m^{2}\right)\phi =0.} This is known as the Klein–Gordon equation. The Klein–Gordon equation is a wave equation, so its solutions can be expressed as a sum of normal...

equation is an equation that is used to calculate the lattice energy of a crystalline ionic compound. It is a refinement of the Born–Landé equation by...

In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are...

differential equation d 2 y d x 2 − x y = 0 , {\displaystyle {\frac {d^{2}y}{dx^{2}}}-xy=0,} known as the Airy equation or the Stokes equation. Because the...

Schrödinger equation, which must be solved to obtain the energy levels and wavefunction of this molecule, is a partial differential eigenvalue equation in the...

A word equation is a formal equality E := u = ⋅ v {\displaystyle E:=u{\overset {\cdot }{=}}v} between a pair of words u {\displaystyle u}  and v {\displaystyle...

In pharmacology, Schild regression analysis, based upon the Schild equation, both named for Heinz Otto Schild, are tools for studying the effects of agonists...

In magnetohydrodynamics, the induction equation is a partial differential equation that relates the magnetic field and velocity of an electrically conductive...

The Shunt equation (also known as the Berggren equation) quantifies the extent to which venous blood bypasses oxygenation in the capillaries of the lung...

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself...

In monetary economics, the equation of exchange is the relation: M ⋅ V = P ⋅ Q {\displaystyle M\cdot V=P\cdot Q} where, for a given period, M {\displaystyle...

Erdős–Moser equation have solutions other than 11+21=31? More unsolved problems in mathematics In number theory, the Erdős–Moser equation is 1 k + 2 k...

and scattering processes. The equation of radiative transfer describes these interactions mathematically. Equations of radiative transfer have application...

relation is specified by the Einstein field equations, a system of second-order partial differential equations. John Archibald Wheeler summarized it: "Space-time...

equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in...

The London equations, developed by brothers Fritz and Heinz London in 1935, are constitutive relations for a superconductor relating its superconducting...

for these equations, including "Richardson equation", "Dushman's equation", "Richardson–Dushman equation" and "Richardson–Laue–Dushman equation". In the...

the choice of a basis). The characteristic equation, also known as the determinantal equation, is the equation obtained by equating the characteristic polynomial...

two co-vertices at the endpoints of the minor axis. Analytically, the equation of a standard ellipse centered at the origin is: x 2 a 2 + y 2 b 2 = 1...

The Kolmogorov backward equation (KBE) and its adjoint, the Kolmogorov forward equation, are partial differential equations (PDE) that arise in the theory...

Pitzer equations are important for the understanding of the behaviour of ions dissolved in natural waters such as rivers, lakes and sea-water. They were...

In mathematics, in the theory of ordinary differential equations in the complex plane C {\displaystyle \mathbb {C} } , the points of C {\displaystyle...

The Balmer series is calculated using the Balmer formula, an empirical equation discovered by Johann Balmer in 1885. The visible spectrum of light from...

In economics, Rosser's equation (named after J. Barkley Rosser, Jr.) calculates future US Social Security Administration Trust Fund balances and payments...

inhomogeneous electromagnetic wave equation, or nonhomogeneous electromagnetic wave equation, is one of a set of wave equations describing the propagation of...

The Brønsted catalysis equation or law of correlation, after Johannes Nicolaus Brønsted, gives the relationship between acid strength and catalytic activity...

Bjerknes' equation refers to a set of seven different equations formulated by Vilhelm Bjerknes in 1904 which proposes a methodology to study large scale...

The Fenske equation in continuous fractional distillation is an equation used for calculating the minimum number of theoretical plates required for the...

In mathematics, Euler's differential equation is a first-order non-linear ordinary differential equation, named after Leonhard Euler. It is given by:...

correction—which may be as great as 16 minutes, 33 seconds—is described by the equation of time. A sophisticated sundial, with a curved style or hour lines, may...

The Prony equation (named after Gaspard de Prony) is a historically important equation in hydraulics, used to calculate the head loss due to friction within...

The Volterra equation may refer to the Volterra integral equation, an integral in the style of Fredholm theory. Product integral, an integral over an operator-valued...

In surface chemistry, the Hertz–Knudsen equation, also known as Knudsen–Langmuir equation describes evaporation rates, named after Heinrich Hertz and...

The Swift–Hohenberg equation (named after Jack B. Swift and Pierre Hohenberg) is a partial differential equation noted for its pattern-forming behaviour...

The Brus equation or confinement energy equation can be used to describe the emission energy of quantum dot semiconductor nanocrystals in terms of the...

Thermodynamics is expressed by a mathematical framework of thermodynamic equations which relate various thermodynamic quantities and physical properties...

instruments. From the parabolic partial differential equation in the model, known as the Black–Scholes equation, one can deduce the Black–Scholes formula, which...

physics, the screened Poisson equation is a Poisson equation, which arises in (for example) the Klein–Gordon equation, electric field screening in plasmas...

Rarita–Schwinger equation is the relativistic field equation for spin-3/2 fermions. It is the spin-3/2 analogue of the Dirac equation for spin-1/2 fermions...

The Schwinger–Dyson equations (SDEs) or Dyson–Schwinger equations, named after Julian Schwinger and Freeman Dyson, are general relations between correlation...

where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic function is called the LQ problem...

In probability theory, a balance equation is an equation that describes the probability flux associated with a Markov chain in and out of states or set...

The Bohr equation, named after Danish physician Christian Bohr (1855–1911), describes the amount of physiological dead space in a person's lungs. This...

three-dimensional space, a first degree equation in the variables x, y, and z defines a plane, so two such equations, provided the planes they give rise to...

age-structured population growth, probably one of the most important equations is the Euler–Lotka equation. Based on the age demographic of females in the population...

The Cambridge equation formally represents the Cambridge cash-balance theory, an alternative approach to the classical quantity theory of money. Both quantity...

Blaney–Criddle equation (named after H. F. Blaney and W. D. Criddle) is a method for estimating reference crop evapotranspiration. The Blaney–Criddle equation is...

defining feature is its use of the Einstein field equations. The solutions of the field equations are metric tensors which define the topology of the...

Subsequently, the equation is then expressed as (1 – f). Therefore, the Cassie equation can be easily derived from the Cassie–Baxter equation. Experimental...

The Manning formula or Manning's equation is an empirical formula estimating the average velocity of a liquid in an open channel flow (flowing in a conduit...

physics, the Dirac–Kähler equation, also known as the Ivanenko–Landau–Kähler equation, is the geometric analogue of the Dirac equation that can be defined on...

the direction of the induction, and Franz Ernst Neumann wrote down the equation to calculate the induced force by change of magnetic flux. However, these...

following we solve the second-order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand Georg...

Newton–Euler equations describe the combined translational and rotational dynamics of a rigid body. Traditionally the Newton–Euler equations is the grouping...

In biomechanics, the Moens–Korteweg equation models the relationship between wave speed or pulse wave velocity (PWV) and the incremental elastic modulus...

space, assumed to be a Riemannian manifold, can be defined by using the equation for the length of a curve (a function f from an open interval of R to the...

certain equation that I will call the "characteristic equation", the degree of this equation being precisely the order of the differential equation that...

Liouville's equation in differential geometry, see Liouville's equation. In mathematics, Liouville–Bratu–Gelfand equation or Liouville's equation is a non-linear...

In mathematics, an abstract differential equation is a differential equation in which the unknown function and its derivatives take values in some generic...

It was the best prediction equation until 1990, when Mifflin et al. introduced the equation: The Mifflin–St Jeor equation (1990) P = ( 10.0 m 1   kg +...

Darcy's law is an equation that describes the flow of a fluid through a porous medium and through a Hele-Shaw cell. The law was formulated by Henry Darcy...

index and Y the amount of real output). This equation is known as the quantity equation or the equation of exchange and is itself uncontroversial, as...

Nakajima–Zwanzig equation (named after the physicists who developed it, Sadao Nakajima and Robert Zwanzig) is an integral equation describing the time...

In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time...

relativity, the Hamilton–Jacobi–Einstein equation (HJEE) or Einstein–Hamilton–Jacobi equation (EHJE) is an equation in the Hamiltonian formulation of geometrodynamics...

radar equation slightly for pulse-Doppler radar performance, which can be used to increase detection range and reduce transmit power. The equation above...

Kaluza–Klein–Einstein field equations are created by adding a hypothetical dimension to the four-dimensional Einstein field equations. They use the Kaluza–Klein–Einstein...

theory provides a framework in which equations of hydrodynamics for a gas can be derived from the Boltzmann equation. The technique justifies the otherwise...