ordered field

American

noun

Mathematics. a field containing a subset of elements closed under addition and multiplication and having the property that every element in the field is either zero, in the subset, or has its additive inverse in the subset.

Etymology

Origin of ordered field

First recorded in 1940–45

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The "brilliancy" of the movements was somewhat abated in consequence of General Punch having ordered "field exercise" instead of "marching order."

From Punch - Volume 25 (Jul-Dec 1853) by Various

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023