# equation

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Equation is part of the Academic Word List. It is important for students in college and university.

### Pronunciation

• enPR: ĭkwā'zhən, IPA: /ɪˈkweɪʒən/; enPR: ĭkwā'shən, IPA: /ɪˈkweɪʃən/
•  Audio (US) (file)

## Noun

1. (countable) An equation is a mathematical statement in which both sides are of equal value.
Find ${\displaystyle x}$, in the equation ${\displaystyle x+2y=3y}$.
Using equation (2.1) from above, we can now solve for ${\displaystyle x}$.
2. (countable); (usually singular) An equation is how everything works together to create a situation.
Money plays a big part in the political equation.
3. (uncountable) The equation of ${\displaystyle x}$ with ${\displaystyle y}$, is the act of thinking about them as the same or as belonging together.
The equation of women with maids and cooks must stop.

Examples:

${\displaystyle E=mc^{2}\!\,}$
${\displaystyle E=h\nu \!\,}$
${\displaystyle a={\dfrac {L}{2}}-b}$
{\displaystyle {\begin{aligned}&\nabla \cdot \mathbf {D} =\rho _{f}\\&\nabla \cdot \mathbf {B} =0\\&\nabla \times \mathbf {E} =-{\frac {\partial \mathbf {B} }{\partial t}}\\&\nabla \times \mathbf {H} =\mathbf {J} _{f}+{\frac {\partial \mathbf {D} }{\partial t}}\end{aligned}}}
${\displaystyle \oint _{C}E\cdot dl=-{\frac {d}{dt}}\int _{S}B_{n}dA}$
${\displaystyle 14{\sqrt {x}}+\vert 15\vert =\vert 71\vert }$
${\displaystyle {\frac {\hbar ^{2}}{2m}}\,\nabla ^{2}\Psi +V\Psi =i\hbar \,{\frac {\partial \Psi }{\partial t}}}$