“Cauchy–Schwarz”的英文意思_释义_用法

单词

Cauchy–Schwarz

释义

Cauchy–Schwarz, n. Math.|kəʊʃɪˈʃvɑːts|
[The names of Augustin-Louis Cauchy (see *Cauchy n.) and Hermann Amadeus Schwarz (see Schwarz n.).]
Cauchy–Schwarz inequality, the statement that for any two sets of n numbers, the sum of the n pairwise sums, squared, is no greater than the sum of the two sums formed by adding the squared magnitudes of the numbers in each set.
1956B. Friedman Princ. & Techniques Appl. Math i. 6 {vb}〈x, y〉{vb} ≤ {vb}x{vb} · {vb}y{vb} . This result is known as the Cauchy-Schwartz inequality.1957T. M. Apostol Math. Analysis i. 6 We shall now derive a very useful result known as the Cauchy–Schwarz inequality.1988Nature 24 Mar. 329/1 Another interesting relation among these quantities is obtained by applying the Cauchy–Schwarz inequality to equations (1) to (3).

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