proved equation
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Equation solving — In mathematics, to solve an equation is to find what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). These expressions contain one or more unknowns, which are… … Wikipedia
Pell's equation — is any Diophantine equation of the form:x^2 ny^2=1,where n is a nonsquare integer and x and y are integers. Trivially, x = 1 and y = 0 always solve this equation. Lagrange proved that for any natural number n that is not a perfect square there… … Wikipedia
differential equation — Math. an equation involving differentials or derivatives. [1755 65] * * * Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by… … Universalium
Master equation — See Lindblad equation for the master equation used in quantum physics See also Batalin–Vilkovisky formalism for the classical and quantum master equations in quantum field theory. In physics and chemistry and related fields, master equations are… … Wikipedia
Cauchy's functional equation — is one of the simplest functional equations to represent, however its solution over the real numbers is extremely complicated. The equation is : f(x+y)=f(x)+f(y). Over the rational numbers, it can be shown using elementary algebra that there is a … Wikipedia
Cahn–Hilliard equation — The Cahn–Hilliard equation is an equation of mathematical physics which describes the process of phase separation, by which the two components of a binary fluid spontaneously separate and form domains pure in each component. If c is the… … Wikipedia
Sylvester equation — In control theory, the Sylvester equation is the matrix equation of the form:A X + X B = C,where A,B,X,C are n imes n matrices.Existence and uniqueness of the solutionUsing the Kronecker product notation and the vectorization operator… … Wikipedia
Benjamin–Bona–Mahony equation — The Benjamin–Bona–Mahony equation (or BBM equation) is the partial differential equation:u t+u x+uu x u {xxt}=0.,This equation was introduced in harvs| author1 link=Brooke Benjamin|first= T. B. |last=Benjamin|first2= J. L.|last2= Bona |first3=J.… … Wikipedia
Hamada's Equation — In corporate finance, Hamada’s Equation is used to separate the financial risk of a levered firm from its business risk. The equation combines the Modigliani Miller theorem with the Capital Asset Pricing Model. It is used to help determine the… … Wikipedia
Ramanujan-Nagell equation — In mathematics, in the field of number theory, the Ramanujan Nagell equation is a particular exponential Diophantine equation. Equation and solutionThe equation is: 2 n − 7 = x 2 and solutions in natural numbers n and x exist just when : n = 3, 4 … Wikipedia
Legendre's equation — In mathematics, Legendre s equation is the Diophantine equation:ax^2+by^2+cz^2=0.The equation is named for Adrien Marie Legendre who proved in 1785 that it is solvable in integers x , y , z , not all zero, if and only if− bc , − ca and − ab are… … Wikipedia
