# equation

In an equation, the quantities on both sides of the equal sign are equal. That's the mathematical meaning of equation, but equation can also be used in any number of situations, challenges, or efforts to solve a problem.

The "equa" at the beginning of equation will be familiar from other words such as "equal," "equality," and "equate." All of these words have to do with making things balance out. An equation is a statement of the equality of two quantities. If that equation is not a mathematical one but rather, say, an interpersonal one, it's still a situation in which you might try to make the two sides equal. For example, taking marriage out of the equation might make it easier for two people to decide to stay together for a while.

Definitions of equation
1

### n a mathematical statement that two expressions are equal

Types:
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regression equation, regression of y on x
the equation representing the relation between selected values of one variable (x) and observed values of the other (y); it permits the prediction of the most probable values of y
linear equation
a polynomial equation of the first degree
an equation in which the highest power of an unknown quantity is a square
an equation of the fourth degree
differential equation
an equation containing differentials of a function
simultaneous equations
a set of equations in two or more variables for which there are values that can satisfy all the equations simultaneously
exponential equation
an equation involving exponential functions of a variable
Maxwell's equations
four differential equations that summarize classical properties of electromagnetic fields
partial differential equation
a differential equation involving a functions of more than one variable
Schrodinger equation, Schrodinger wave equation
the fundamental equation of wave mechanics
wave equation
a differential equation that describes the passage of harmonic waves through a medium
Type of:
mathematical statement
a statement of a mathematical relation

### n the act of regarding as equal

Synonyms:
equating
Type of:
equalisation, equalization, leveling
the act of making equal or uniform

### n a state of being essentially equal or equivalent; equally balanced

Synonyms:
equality, equivalence, par
Types:
egalite, egality
social and political equality
tie
equality of score in a contest
deuce
a tie in tennis or table tennis that requires winning two successive points to win the game
Type of:
position, status
the relative position or standing of things or especially persons in a society