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This article is about a listing of dualities in mathematics, philosophy and science. For other uses, see
Duality (disambiguation) .
Look up
duality in Wiktionary, the free dictionary.
Mathematics
In
mathematics , a duality , generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an
involution operation: if the dual of A is B , then the dual of B is A .
Philosophy and religion
Engineering
Physics
Economics and finance
See also
References
^
a
b
Ellerman, David Patterson (1995-03-21).
"Chapter 12: Parallel Addition, Series-Parallel Duality, and Financial Mathematics" .
Intellectual Trespassing as a Way of Life: Essays in Philosophy, Economics, and Mathematics (PDF) . G - Reference, Information and Interdisciplinary Subjects Series (illustrated ed.).
Rowman & Littlefield Publishers, Inc. pp. 237–268.
ISBN
0-8476-7932-2 .
Archived (PDF) from the original on 2016-03-05. Retrieved 2019-08-09 . […] When resistors with resistance a and b are placed in series, their compound resistance is the usual sum (hereafter the
series sum ) of the resistances a + b. If the resistances are placed in parallel, their compound resistance is the
parallel sum of the resistances, which is denoted by the
full colon […]
[1] (271 pages)
^
a
b
Ellerman, David Patterson (May 2004) [1995-03-21].
Introduction to Series-Parallel Duality (PDF) .
University of California at Riverside .
CiteSeerX
10.1.1.90.3666 .
Archived from the original on 2019-08-10. Retrieved 2019-08-09 . The
parallel sum of two positive real numbers x:y = [(1/x) + (1/y)]−1 arises in electrical circuit theory as the resistance resulting from hooking two resistances x and y in parallel. There is a
duality between the usual
(series) sum and the parallel sum. […]
[2] (24 pages)