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Aligned formulas
The align math environment is used for simple and annotated align. Each line in this environment is an equation, which LaTeX automatically numbers.

Simple align
Simple align is used to align two or more formulas.
\begin{align}
r^{2} &= s^{2} + t^{2}    \label{E:eqn1}\\
2u + 1 &= v + w^{\alpha}    \label{E:eqn2}\\
x    &= \frac{y + z}{\sqrt{s+2u}}    \label{E:eqn3}
\end{align}
Rules:
  • Separate the lines with \\.
  • In each line, indecate the alignment point with &.
  • Place a \notag in each line (at the end of the line before \\) that you do not wish numbered.
  • Place \label in each numbered line you may want to reference with \ref or \eqref.

Annotated align
Annotated align will align the formulas and the annotation (explanatory text) separaely:
\begin{align} \label{E:Doalign}
x &= x \wedge (y \vee z)
& & \text{(by distributivity)}\\
  &= (x \wedge y) \vee (x \wedge z)
& & \text{(by condition (M))} \notag \\
  &= y \vee z. \notag
\end{align}
The rules for annotated align are similar to the rules of simple align. In each line, in addition to the alignment point ( marked by &), there is also a mark for the start of the annotation: & &.

Cases
The cases construct is a subsidiary math environment; it must be used in a displayed math environment or in an equation environment.
\[
f(x) =
\begin{cases}
-x^{2},    &\text{if $x < 0$;}\\
\alpha + x,    &\text{if $0 \leq x \leq 1$;}\\
x^{2},    &\text{otherwise}\\
\end{cases}
\]
Rules:
  • Separate the lines with \\.
  • In each line, indecate the alignment point for the annotation with &.

View these three types of alignment.