Cauchy - Schwarz inequality
Chinese equivalent: 柯西 - 施瓦茨不等式
Cauchy - Schwarz inequality For real or complex vectors, (∑(i = 1)^n a i b i ight)² ≤ (∑(i = 1)^n a i² ight)(∑(i = 1)^n b i² ight).
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.
Practice related questions (11) · Start mock exam · Sign up — AI explanations · Membership plans
CSCA Mathematics Exam Glossary
Definition
Cauchy - Schwarz inequality For real or complex vectors, (∑(i = 1)^n a i b i ight)² ≤ (∑(i = 1)^n a i² ight)(∑(i = 1)^n b i² ight).
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 re…
Plan your next CSCA study step
Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.