## Greater or Less

$a \gt b$

a \gt b

In MathJax, we use \gt because > has a special meaning on the web. It comes from "greater than".

$a \geq b$

a \geq b

\geq is a combination of "greater than" and "equal".

$a \geqq b$

a \geqq b

If you use \geqq, you will have one more horizontal line than with \geq.

$a \lt b$

a \lt b

In MathJax, we use \lt because < has a special meaning on the web. It comes from "less than".

$a \leq b$

a \leq b

\leq is a combination of "less than" and "equal".

$a \leqq b$

a \leqq b

If you use \leqq, you will have one more horizontal line than with \leq.

$a = b$

a = b

We use the symbols as it is.

$a \neq b$

a \neq b

\neq comes from "not equal". It can also be written as \ne or \not=.

$a \fallingdotseq b$

a \fallingdotseq b

\fallingdotseq is a combination of "falling dots" and "equal".

$a \sim b$

a \sim b

\sim comes from "similar".

$a \simeq b$

a \simeq b

It is a combination of "similar" and "equal". If you write \eqsim, the symbols above and below will be swapped

$a \approx b$

a \approx b

\approx comes from "approximately".

$a \gg b$

a \gg b

If you write "\gg", two > overlap.. If you write "\ggg", three > overlap.

$a \ll b$

a \ll b

If you write "\ll", two < overlap.. If you write "\lll", three < overlap.

$\max f(x)$

\max f(x)

$\min f(x)$

\min f(x)

$\begin{eqnarray} \max ( a, b ) = \begin{cases} a & ( a \geqq b ) \\ b & ( a \lt b ) \end{cases} \end{eqnarray}$

\begin{eqnarray} \max ( a, b ) = \begin{cases} a & ( a \geqq b ) \\ b & ( a \lt b ) \end{cases} \end{eqnarray}

The eqnarray environment is used to display multiple expressions. The cases environment is used to write cases.