Functions and operators\sup

\supCommand

Used for the supremum of a set or mathematical expression

\sup
Available in
base
Kind
prefix
Allowed mode
math
Frequency
1.56% of corpus formulasrank 36 of 263
Commonality
high
Renderer support
PackageMathJaxKaTeXXeTeX
baseMathJax: FullKaTeX: FullXeTeX: Full
About the test scope

Syntax#

\sup

Takes no arguments. Reading argspecs

Common tasks#

How to write a supremum#

\sup_{x\in S} f(x)

How to write the least upper bound of a set#

\sup A

How to write an essential supremum#

\|f\|_\infty=\operatorname{ess\,sup}|f|

Examples#

\sup_{x \to 0}
\sup(S)

In TeXForm#

TeXForm parses this entry as prefix syntax; the package determines its argument specification.

Equivalent forms#

  • \operatorname*{sup}exact

    Using amsmath

See also#

Test cases#

base
InputCaseMathJaxKaTeXXeTeX
\supPositive · baselinePassPassPass
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