Duality Explained

Duality may refer to:

Mathematics

• Duality (mathematics), a mathematical concept
  • Dual (category theory), a formalization of mathematical duality
  • Duality (optimization)
  • Duality (order theory), a concept regarding binary relations
  • Duality (projective geometry), general principle of projective geometry
  • Duality principle (Boolean algebra), the extension of order-theoretic duality to Boolean algebras
  • S-duality (homotopy theory)

Philosophy, logic, and psychology

• Dualistic cosmology, a twofold division in several spiritual and religious worldviews
• Dualism (philosophy of mind), where the body and mind are considered to be irreducibly distinct
• De Morgan's laws, specifically the ability to generate the dual of any logical expression
• Complementary duality of Carl Jung's functions and types in Socionics
• Duality (CoPs), refers to the notion of a duality in a Community of Practice

Science

Electrical and mechanical

• Duality (electrical circuits), regarding isomorphism of electrical circuits
• Duality (mechanical engineering), regarding isomorphism of some mechanical laws

Physics

• AdS/CFT correspondence (anti de Sitter/conformal field theory correspondence), sometimes called the Maldacena duality
• Dual resonance model
• Duality (electricity and magnetism)
• Englert–Greenberger duality relation
• Holographic duality
• Kramers–Wannier duality
  • Mirror symmetry (string theory)
• Montonen–Olive duality
• Mysterious duality
• String duality, a class of symmetries
  • S-duality
  • T-duality
  • U-duality
• Wave–particle duality

Music

Albums

• Duality (Peter Leitch and John Hicks album), 1994
• Duality (Lisa Gerrard and Pieter Bourke album), 1998
• Duality (Set It Off album), 2014
• Duality (Ra album), 2005
• Duality (mixtape), 2012
• Duality (Luna Li album), 2022
• Duality (Lindsey Stirling album), 2024
• Duality, a 2009 album by Darker Half
• Duality, a 2020 album by Duke Dumont
• Duality, a 2018 album by Big Scoob

Songs

• "Duality", a 2014 single from pop rock/punk rock band Set It Off
• "Duality" (song), a 2004 single by metal band Slipknot
• "Duality", a 2007 single from alternative rock/punk band Bayside

Other

• Duality (film), a 2001 Star Wars fan film by Dave Macomber and Mark Thomas
• Duality, a large format audio mixing console by Solid State Logic
• Dual (grammatical number), grammatical number that some languages use in addition to singular and plural

See also

• Double (disambiguation)
• Dual (disambiguation)
• Duality principle (disambiguation)
• List of dualities: philosophy, mathematics, physics and engineering
• Nondualism (philosophy)
• Triality (mathematics)