Cauchy-Schwarz inequality for sums (Q97485926)

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Language	Label	Description	Also known as
English	Cauchy-Schwarz inequality for sums	No description defined

Statements

instance of

theorem

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inequality

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subclass of

inequality

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named after

Augustin-Louis Cauchy

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Hermann Schwarz

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defining formula

${\displaystyle \left(\sum _{i=1}^{n}a_{i}b_{i}\right)^{2}\leq \left(\sum _{i=1}^{n}a_{i}^{2}\right)\left(\sum _{i=1}^{n}b_{i}^{2}\right)}$

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in defining formula

${\displaystyle n}$

symbol represents

dimension of a vector space

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${\displaystyle a_{i}}$

symbol represents

Cartesian vector coordinate

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${\displaystyle b_{i}}$

symbol represents

Cartesian vector coordinate

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${\displaystyle \sum _{i=1}^{n}}$

symbol represents

sum

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maintained by WikiProject

WikiProject Mathematics

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different from

Cauchy–Schwarz inequality

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Identifiers

Digital Library of Mathematical Functions ID

1.7.E1

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1.2.E51

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MathWorld ID

CauchysInequality

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ProofWiki ID

Cauchy's_Inequality

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