Standard Lemma guide

self-dual

adj · 3 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

adj

Meaning 1

Of a vector space, isomorphic to its dual space.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: linear-algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

Of a proposition that is equivalent to its dual.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Of a graph or polyhedron, being the dual of itself.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Etymology tree Proto-Indo-European *swé? Proto-Indo-European *selbh-der. Proto-Germanic *selbaz Old English self Old English self- Middle English self- English self- English dual English self-dual From self- + dual.

Across languages

Translations

6 source translations are retained for this English entry.

  • Finnish: itseduaalinen — of a vector space, isomorphic to its dual space
  • German: selbstdual — of a vector space, isomorphic to its dual space
  • Polish: samo-podwójny — of a vector space, isomorphic to its dual space
  • Finnish: itseduaalinen — of a graph or polyhedron, being the dual of itself
  • German: selbstdual — of a graph or polyhedron, being the dual of itself
  • Polish: samo-podwójny — of a graph or polyhedron, being the dual of itself