Mathematics-Online lexicon: Annotation toCauchy-Schwarz Inequality

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	Mathematics-Online lexicon: Annotation to
	Cauchy-Schwarz Inequality

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The scalar product can be estimated by the associated norm:

$\displaystyle \vert\langle u,v \rangle\vert \le \vert u\vert\vert v\vert,\quad \vert w\vert = \sqrt{\langle w,w\rangle}\, .$

We have equality if and only if $u\parallel v$ .

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automatisch erstellt am 19. 8. 2013