Phrase guide

quotient set

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

the set consisting of all equivalence classes

Definition source: English Wiktionary via Wiktextract

Qualifier: given some set and an equivalence relation on that set

Topics: mathematics, sciences

Examples

  • Given the set of integers Z, and the equivalence relation a∼b⟺a≡b( mod 2)⟺(a-b)%2=0, the quotient set is written Z/∼=̄0,̄1, consisting of the even and the odd integers.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

1 source translations are retained for this English entry.

  • Finnish: tekijäjoukko — set of all equivalence classes