duality
Use Duality in a sentence
ɪ noun
1.
a dual 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.
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Based on the Random House Dictionary, © Random House, Inc. 2013.
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Based on the Random House Dictionary, © Random House, Inc. 2013.
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Link To duality
Collins
World English Dictionary
duality (djuːˈælɪtɪ) ![[Click for IPA pronunciation guide]](http://static.sfdict.com/dictstatic/g/d/dictionary_questionbutton_default.gif) | |
| —n , 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 |
Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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00:10
Duality
is always a great word to know.
So is precalculus. Does it mean:
| a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded |
| pertaining to the mathematical prerequisites for the study of calculus, as algebra, analytical geometry, and trigonometry |
Etymonline
Word Origin & History
duality
c.1400, from Fr. dualité (14c.), from L.L. dualitas, from dualis (see dual).
Online Etymology Dictionary, © 2010 Douglas Harper
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Encyclopedia Britannica
Encyclopedia
duality
in mathematics, principle whereby one true statement can be obtained from another by merely interchanging two words. It is a property belonging to the branch of algebra known as lattice theory, which is involved with the concepts of order and structure common to different mathematical systems. A mathematical structure is called a lattice if it can be ordered in a specified way (see order). Projective geometry, set theory, and symbolic logic are examples of systems with underlying lattice structures, and therefore also have principles of duality.
Learn more about duality with a free trial on Britannica.com.
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
Zurbaran painted with an acute sense of a duality between the world of flesh and blood and the world of the spirit.
In the past, both the sense of ambiguity and the theme of duality common to his work have been highly noticeable.
There is a wave type duality between distance and time.
But an electron cannot ignore the wave-particle duality.
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