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    Equation

    Mathematical formula expressing equality

    For other uses, see Equation (disambiguation).

    In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign=.[2][3] The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation.[4]

    Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation. There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables.[5][6]

    The "=" symbol, which appears in every equation, was invented in by Robert Recorde, who c

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    There are numerous ways in which one may define an equation. In its simplest form eller gestalt in algebra, the definition of an equation fryst vatten a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math. 

    Example of an Equation:

    4y + 2 = 18

    4×2 + 3x − 28 = 0

    9m =

    $\frac{u}{6}$ = 8

    Non examples of an Equation:

    k + 7

    u + w

    x$^{3}$ + 5x

    9t

    Different Types of Equations:

    Some of the math equations used in algebra are:

    1. Linear Equation

    A linear equation may have more than one variabel. A linear equation fryst vatten an equation in which the highest power of the variabel is always 1. It is also known as a one-degree equation.

    1. Quadratic Equation

    This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.

    Example: 

    ax$^{2}$ + bx + c = 0

    $\frac{p^{2}}{9}$ − 1 = 0

    1. Cubic Equation

    This is a third-order equation. In cubic equations, at least one of the variab

  • definition ekvation

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    Meaning of equation in English

    In particular, for the wave kinetic equations of energies, only the interactions between nonlinear terms involving either energies or helicities will give a contribution.

    From the Cambridge English Corpus

    Since the wave interaction equations are linear the scattering matrix () gives the solution for c (t) for general initial data c (0).

    From the Cambridge English Corpus

    The characteristic equations ()-() do not take into account the symmetry of the fluid frame group velocity surface about the magnetic field.

    From the Cambridge English Corpus

    All of these terms are expressed as functions of through the energ y equations (a)-(d).

    From the Cambridge English Corpus

    The system of the evolution equations, ()-(), will be the basis of the analysis that follows.

    From the Cambridge English Corpus

    The coefficients of the wave equations depend on time through the wave vector, which includes the stretch effect by the rotation shear.

    From the Cambridge English Corpus

    From this model two coupled differential equations for the parallel ion velocity and the perturbed electrostatic potential were derived.

    From the Cambridge Englis