harmonic mean
Chinese equivalent: 调和平均数
harmonic mean The reciprocal of the arithmetic mean of the reciprocals of a set of positive numbers, i.e., (n)/((1)/(a₁) + (1)/(a₂) + + (1)/(a n)).
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
harmonic mean The reciprocal of the arithmetic mean of the reciprocals of a set of positive numbers, i.e., (n)/((1)/(a₁) + (1)/(a₂) + + (1)/(a n)).
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…
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