equation

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

Pronunciation

• IPA: /ɪˈkweɪʒən/ or /ɪˈkweɪʃən/
• SAMPA: /I"keIZ@n/ or /I"keIS@n/

Noun

Singular equation

Plural equations

1. (countable) An equation is a mathematical statement in which both sides are of equal value.

   Find $x$, in the equation $x + 2y = 3y$.

   Using equation (2.1) from above, we can now solve for $x$.

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 $x$ with $y$, 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:

$E=mc^2 \!\,$

$E=h\nu \!\,$

$a=\dfrac{L}{2}-b$

$\begin{align} &\nabla \cdot \mathbf{D} = \rho_f \\ &\nabla \cdot \mathbf{B} = 0 \\ &\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B} }{\partial t} \\ &\nabla \times \mathbf{H} = \mathbf{J}_f + \frac{\partial \mathbf{D} }{\partial t} \end{align}$

$\oint_{C}E\cdot dl=-\frac{d}{dt}\int_{S}B_ndA$

$14\sqrt{x}+\vert 15\vert=\vert 71\vert$

$\frac{\hbar^2}{2m}\,\nabla^2\Psi+V\Psi=i\hbar\,\frac{\partial\Psi}{\partial t}$