Phrase guide

closed form

noun · 5 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

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No pronunciation record was provided for this word.

1

noun

Meaning 1

A form (expression) that does not use limits, implicitly or explicitly.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: mathematics, sciences

Examples

  • There is no known representation of π in closed form: each expression for it includes an integral, an infinite series, or an infinite continued fraction.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

A differential form whose exterior derivative is zero.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

A type of poetry with regular structure, such as meter or a rhyming pattern.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: communications, journalism, literature, media, poetry, publishing, writing

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

Trobar clus.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Topics: communications, journalism, literature, media, poetry, publishing, writing

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

noun

Meaning 5

Used other than figuratively or idiomatically: see closed, form.

Definition source: English Wiktionary via Wiktextract

Usage: countable, uncountable

Examples

  • If ω is a closed form, then dω=0.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

6 source translations are retained for this English entry.

  • Finnish: suljettu muoto — (mathematics) expression that does not use limits
  • German: geschlossene Form — (mathematics) expression that does not use limits
  • Polish: wzór jawny — (mathematics) expression that does not use limits
  • Finnish: suljettu muoto — (mathematics) differential form whose exterior derivative is zero
  • German: geschlossene Form — (mathematics) differential form whose exterior derivative is zero
  • Polish: wzór jawny — (mathematics) differential form whose exterior derivative is zero