well-ordered

Translations

well-orderedadjective
more well-ordered
Comp.
most well-ordered
Super.
The library maintained a well-ordered catalogue system.
Библиотека поддерживала упорядоченную систему каталогов.
хорошо упорядоченныйматематический термин
The set of natural numbers is well-ordered by the usual relation ≤.
Множество натуральных чисел хорошо упорядочено отношением ≤.
well-orderedpast participle
Participial adjective derived from the verb “well-order”, chiefly in mathematical usage
хорошо упорядоченныйматематический термин
A well-ordered sequence of ordinals was constructed for the proof.
Для доказательства была построена хорошо упорядоченная последовательность ординалов.

Definitions

well-orderedadjective
Neatly or systematically arranged; orderly.
The library maintained a well-ordered catalogue system.
Mathematics: Of a set, having the property that every non-empty subset possesses a least element under its ordering.
The set of natural numbers is well-ordered by the usual relation ≤.
well-orderedpast participle
Arranged so as to form a well-ordering; placed in a sequence where every subset has a least element.
A well-ordered sequence of ordinals was constructed for the proof.