well-ordering

ˈwɛlˌɔːrdərɪŋ

Definition

Definition of well-ordering - Reverso English Dictionary

Noun

mathematics set theory

TECH.

arrangement where every subset has a smallest element

TECH.

A well-ordering is important in proving mathematical theorems.

Adjective

mathematics set

TECH.

having every non-empty subset with a smallest element

TECH.

This is a well-ordering relation on the set.

well-ordered

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Expressions with well-ordering

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well-ordering relation

relation where every subset has a least element

In mathematics, a well-ordering relation is crucial for proofs.

Examples of well-ordering in a sentence

Well-ordering is a key property in ordinal numbers.
A well-ordering property is crucial in this proof.
We studied a well-ordering sequence in class.

View all translations of well-ordering

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French:ordre bien ordonné, bien ordonné, ...
German:Wohlordnung, wohlgeordnet, ...
Italian:ordinamento ben fondato, ben ordinato, ...
Spanish:orden bien definido, bien ordenado, ...
Portuguese:ordem bem ordenada, bem ordenado, ...
Chinese:良序, 良序的, ...
Japanese:整列順序, 良順序の, ...
Arabic:تَرْتِيب جَيِّد, مُرَتَّب تَرْتِيبًا جَيِّدًا, ...
Hebrew:סֵדֶר הֵיטֵב, מְסֻדָּר הֵיטֵב, ...
Russian:хорошее упорядочение, хорошо упорядоченный, ...
Ukrainian:добре впорядкування, добре впорядкований, ...
Hindi:सुसंगठित क्रम, सुसंगठित, ...
Bengali:ভাল-অর্ডারিং, সু-অর্ডারিং, ...
Catalan:bon ordenament, ben ordenat, ...
Czech:dobré uspořádání, dobře uspořádaný, ...
Danish:velordning, velordnet, ...
Dutch:welordening, wel geordend, ...
Greek:καλή διάταξη, καλά διατεταγμένος, ...
Hungarian:jórendezés, jólrendező, ...
Khmer:លំដាប់ល្អ, មានលក្ខណៈថា សំណុំរងដែលមិនទទេគ្រប់សំណុំមានធាតុតូចបំផុតមួយ, ...
Korean:완전 순서, 잘 정렬된, ...
Persian:ترتیب خوب, خوب‌مرتب, ...
Polish:dobrze uporządkowanie, dobrze uporządkowany, ...
Portuguese (BR):ordem bem-ordenada, bem ordenado, ...
Romanian:ordonare bine pusă, bine ordonat, ...
Swedish:välordning, välordnad, ...
Thai:การจัดเรียงแบบดี, ที่มีการจัดลำดับอย่างดี, ...
Turkish:iyi sıralama, iyi sıralı, ...
Vietnamese:sự sắp xếp tốt, sắp thứ tự tốt, ...

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Definition of well-ordering - Reverso English Dictionary

Noun

Adjective

Expressions with well-ordering

Terms related to well-ordering

Examples of well-ordering in a sentence

View all translations of well-ordering

Discover how Reverso redefines the dictionary

Go beyond “simple words”

Get more than a simple definition

Go from understanding to mastery