Cauchy's inequality

Cauchy's inequality
[named after A. L. CAUCHY]

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Universalium. 2010.

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  • Cauchy–Schwarz inequality — In mathematics, the Cauchy–Schwarz inequality, also known as the Schwarz inequality, the Cauchy inequality, or the Cauchy–Schwarz–Bunyakovsky inequality, is a useful inequality encountered in many different settings, such as linear algebra… …   Wikipedia

  • Cauchy-Schwarz inequality — /koh shee shwawrts , koh shee shvahrts /, Math. See Schwarz inequality (def. 2). * * * Any of several related inequalities developed by Augustin Louis Cauchy and, later, Herman Schwarz (1843–1921). The inequalities arise from assigning a real… …   Universalium

  • Cauchy's inequality — Math. See Schwarz inequality (def. 1). [named after A. L. CAUCHY] …   Useful english dictionary

  • Cauchy-Schwarz inequality — /koh shee shwawrts , koh shee shvahrts /, Math. See Schwarz inequality (def. 2) …   Useful english dictionary

  • Cauchy-Schwarz inequality — noun A theorem which states that the absolute value of the dot product between two vectors is less than or equal to the product of the magnitudes of the two vectors …   Wiktionary

  • Inequality (mathematics) — Not to be confused with Inequation. Less than and Greater than redirect here. For the use of the < and > signs as punctuation, see Bracket. More than redirects here. For the UK insurance brand, see RSA Insurance Group. The feasible regions… …   Wikipedia

  • Cauchy-Schwarzsche Ungleichung — Die Cauchy Schwarz Ungleichung, auch bekannt als Schwarzsche Ungleichung oder Cauchy Bunjakowski Schwarz Ungleichung, ist eine nützliche Ungleichung, die in vielen Bereichen der Mathematik verwendet wird, z. B. in der Linearen Algebra… …   Deutsch Wikipedia

  • Inequality — In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not (See also: equality) *The notation a < b means that a is less than b . *The notation a > b means that a is… …   Wikipedia

  • inequality — /in i kwol i tee/, n., pl. inequalities. 1. the condition of being unequal; lack of equality; disparity: inequality of size. 2. social disparity: inequality between the rich and the poor. 3. disparity or relative inadequacy in natural endowments …   Universalium

  • Inequality of arithmetic and geometric means — In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM GM inequality, states that the arithmetic mean of a list of non negative real numbers is greater than or equal to the geometric mean of the same list; and… …   Wikipedia

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