self-dual

adjective

Of a vector space, isomorphic to its dual space.

OriginEnglish dual ← Middle English self- ← Old English self- →
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Meanings

adjectiveself-dual (not comparable)
  1. not comparablelinear algebraOf a vector space, isomorphic to its dual space.
  2. not comparablemathematicsOf a proposition that is equivalent to its dual.
  3. not comparablemathematicsOf a graph or polyhedron, being the dual of itself.

Origin

  1. Proto-Indo-European*swé?
  2. Proto-Indo-European*selbʰ-
  3. Proto-Germanic*selbaz
  4. Old Englishself
  5. Old Englishself-
  6. Middle Englishself-
  7. Englishself-
  8. Englishdual
  9. Englishself-dual

From self- + dual.

Full word history & related roots →

Translations

Finnish itseduaalinen, itseduaalinen
  • itseduaalinenof a vector space, isomorphic to its dual space
  • itseduaalinenof a graph or polyhedron, being the dual of itself
German selbstdual, selbstdual
  • selbstdualof a vector space, isomorphic to its dual space
  • selbstdualof a graph or polyhedron, being the dual of itself
Polish samo-podwójny, samo-podwójny
  • samo-podwójnyof a vector space, isomorphic to its dual space
  • samo-podwójnyof a graph or polyhedron, being the dual of itself
Cite this entry
APA

self-dual. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/self-dual

MLA

“self-dual.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/self-dual. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “self-dual,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/self-dual.

Source: self-dual on Wiktionary, CC BY-SA 4.0.