Phrase guide

natural transformation

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.

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1

noun

Meaning 1

A morphism between a pair of parallel functors such that if each object of the shared domain category subtends a correlated arrow — called a component — in the shared codomain (which arrow represents the difference between applying the second functor and the first functor to the correlated object) then each arrow of the shared domain subtends a commuting square — called a naturality square — between two components (correlated to the domain and codomain of the arrow).

Definition source: English Wiktionary via Wiktextract

Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

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Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

4 source translations are retained for this English entry.

  • Finnish: luonnollinen muunnos — Translations
  • German: natürliche Transformation — Translations
  • Polish: transformacja naturalna — Translations
  • Russian: естественное преобразование (jestestvennoje preobrazovanije) — Translations