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duality

duality

9.6
A rule in geometry where points and flat surfaces can be exchanged
  • noun
  • /djuˈælɪti/
  • Specialized
translation icon : dualidad
  • Using Shepherd's duality theorem, the demand functions are found by differentiating the cost functions with respect to price. By specifying that the cost function corresponds to a Cobb-Douglas production function, the fuel share equation is a function only of the prices of the individual fuels.

Examples

  • One can then form the point correlation functions for every point, which can be defined by duality by requiring

    Blog text (13)
  • Understanding duality helps mathematicians explore the connections between various geometric structures and their properties.

  • Thus, the future relationship between European and national identities could develop in the form of a duality:

    Academic text (1995)
  • Applying Shepherd's duality theorem to the resulting optimization problem yields a cost function:

    Academic text (1991)
  • My comments contain words such as "principles, quantum mechanics, QCD, Higgs, Lorentz symmetry, gravity, spin, effective field theory, black holes, geometry, duality," etc.; this is the sign of someone developing an argument with real physical content...

    Blog text (33)
  • In projective geometry, duality allows points and planes to be interchanged in theorems, leading to corresponding dual statements.

  • The principle of duality in geometry is illustrated by the relationship between points and planes in projective space.

Compounds

wave-particle duality
  • Specialized
1 9.6

A physics idea that light and matter act like waves and particles when you look at them

Surface Forms

duality singular
dualities plural

Morphology

duality = dual (semi-transparent) = dual + ity

Formed from 'dual' + '-ity' but the geometric/projection meaning is a specialized mathematical concept that goes beyond the basic literal sense.

Etymology

Duality comes from the Latin duo 'two', and in geometry it means there are two matching ways to state a result when you swap parts, so duality lets you change points and planes and get a corresponding statement.