quotient
/'kwouʃənt/
Definition
- Noun:
- The result obtained when one number (the dividend) is divided by another (the divisor). In arithmetic, it is the number that results from the operation of division.
- The ratio of two quantities. In a broader mathematical sense, it represents the value resulting from the division of one expression by another.
Examples of Usage
- Noun:
- The quotient of 10 divided by 2 is 5.
- To solve the problem, you must calculate the quotient.
- In the equation 12 ÷ 3 = 4, the number 4 is the quotient.
Advanced Usage
- Intelligence Quotient (IQ): A score derived from standardized tests designed to assess human intelligence. The term uses "quotient" historically, as the score was originally calculated by dividing mental age by chronological age.
- Her high intelligence quotient indicates exceptional cognitive abilities.
- Emotional Quotient (EQ): A measure of a person's emotional intelligence, or ability to understand and manage emotions.
- Many employers now value emotional quotient as much as technical skills.
- "Quotient group" (Mathematics): In abstract algebra, a group constructed by partitioning a larger group into cosets of a normal subgroup.
- Understanding quotient groups is fundamental to the study of group theory.
Variants and Related Words
- Quotient Ring (n): In ring theory, a ring formed by partitioning a ring by one of its ideals.
- Quotient Space (n): In topology and linear algebra, a space formed by identifying points in a given space according to an equivalence relation.
Synonyms
- Result (of division).
- Ratio.
Related Phrases and Idioms
- Quotient of suspicion: A medical term referring to the degree of suspicion a clinician has for a particular diagnosis.
- The patient's symptoms raised the quotient of suspicion for a pulmonary embolism.
Noun
-
the number obtained by division
-
the ratio of two quantities to be divided
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