Cauchy-Schwarz inequality
Chinese equivalent: 柯西-施瓦茨不等式
Cauchy-Schwarz inequality For real or complex vectors, (∑(i = 1)^n aᵢ bᵢ)² ≤ (∑(i = 1)^n aᵢ²)(∑(i = 1)^n bᵢ²).
Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › The AM-GM Inequality
CSCA Exam Prep
This term is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Exam Glossary
Definition
Cauchy-Schwarz inequality For real or complex vectors, (∑(i = 1)^n aᵢ bᵢ)² ≤ (∑(i = 1)^n aᵢ²)(∑(i = 1)^n bᵢ²).
Related tutorial and examples
The AM-GM Inequality
The AM-GM Inequality In the CSCA exam, the AM-GM Inequality (Arithmetic Mean-Geometric Mean) is the nuclear weapon for solving optimization problems (Max/Min), especially those involving reciprocal relationships (like x and (1)/(x) ). 1. Core Formula For any two positive real num…
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