| 单词 | equivalence class |
| 释义 | > as lemmasequivalence class equivalence class n. Mathematics a class of all the elements of a set which are equivalent to one another in terms of a given equivalence relation. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of interval1838 identity1894 identity element1902 complement1937 supremum1938 infimum1940 sup1940 equivalence class1952 1948 W. H. Werkmeister Basis & Struct. of Knowl. vi. 205 No matter how much the elements of these various classes differ in quality, the classes themselves, as equivalent classes, have something in common—something which is ‘invariant’ and which constitutes their ‘equivalence’.] 1952 S. C. Kleene Introd. Metamath. i. 9 Von Neumann 1928 chooses from each of these sets of sets (‘equivalence classes’ [Ger. Äquivalenzklassen]) a particular set to serve as the cardinal of any set in the class. 1982 W. S. Hatcher Logical Found. Math. iii. 89 The integers can be introduced as equivalence classes of ordered pairs of natural numbers, and the rational numbers as certain equivalence classes of ordered pairs of integers. < as lemmas |
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