# Duality

[doo-al-i-tee, dyoo-] /duˈæl ɪ ti, dyu-/

**noun**

1.

a state or quality.

2.

Mathematics. a symmetry within a mathematical system such that a theorem remains valid if certain objects, relations, or operations are interchanged, as the interchange of points and lines in a plane in projective geometry.

/djuːˈælɪtɪ/

**noun** (pl) -ties

1.

the state or quality of being two or in two parts; dichotomy

2.

(physics) the principle that a wave-particle duality exists in microphysics in which wave theory and corpuscular theory are complementary. The propagation of electromagnetic radiation is analysed using wave theory but its interaction with matter is described in terms of photons. The condition of particles such as electrons, neutrons, and atoms is described in terms of de Broglie waves

3.

(geometry) the interchangeability of the roles of the point and the plane in statements and theorems in projective geometry

n.

late 14c., from Old French dualité (14c.), from Late Latin dualitas, from Latin dualis (see dual).

Tagged: d

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- Duality-principle
noun, Mathematics. 1. the principle that a mathematical duality exists under certain conditions.

- Dualization
[doo-uh-lahyz, dyoo-] /ˈdu əˌlaɪz, ˈdyu-/ verb (used with object), dualized, dualizing. 1. to make . 2. to regard as dual.

- Dualize
[doo-uh-lahyz, dyoo-] /ˈdu əˌlaɪz, ˈdyu-/ verb (used with object), dualized, dualizing. 1. to make . 2. to regard as dual.

- Dually
[doo-uh l, dyoo-] /ˈdu əl, ˈdyu-/ adjective 1. of, relating to, or noting two. 2. composed or consisting of two people, items, parts, etc., together; twofold; double: dual ownership; dual controls on a plane. 3. having a twofold, or double, character or nature. 4. Grammar. being or pertaining to a member of the category of […]