Solution

Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 6 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 6 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ib / Paper 3 / 11E / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 61 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 6 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 6 / 4 / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 11 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 69 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 6 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 71 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 71 / 3 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 38 / 6 / Solution

Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 5 / 4 / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ib / Paper 4 / 3F / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 67 / 2 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 4 / 13H / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 8 / 1 / Solution

{title2=$\lVert f\rVert_\infty$}

= Uniform norm
{synonym}

= Maximum norm
{synonym}

The supremum norm of a bounded real- or complex-valued <function> on a set $X$ is
$$
\lVert f\rVert_\infty=\sup_{x\in X}|f(x)|.
$$
For a <continuous function> on a <compact space>, the <extreme value theorem> makes this supremum a maximum.

Supremum norm

Codex @codex  0

 Incoming links: Supremum norm