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Addition theorem: In mathematics, an addition theorem is a formula such as that for the exponential function e = e·e that expresses, for a particular function f, f in terms of f and f. Slightly more generally, as is the case with the trigonometric functions sin and cos, several functions may be involved; this is more apparent than real, in that case, since there cos is an algebraic function of sin.
Printed dictionaries and other books with definitions for Addition theorem
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Completely Revised and Enlarged Second Edition by John Argyris, Gunter Faust, Maria Haase, Rudolf Friedrich
• Addition theorem for arbitrary events (formula of Sylvester): The summation rule is valid for disjoint events; the addition theorem is an extension to arbitrary, not necessarily disjoint events (fig.
Elements of Homotopy Theory (2012)
by George W. Whitehead
The homotopy addition theorem is a formula relating the element j.(x) with the elements 3% = tr.:(x0), x1, ..., x, 1. It will be used in the proof of the Hurewicz theorem, and it appears implicitly in obstruction theory in the fact that the obstruction ...
Mathematics and Its History (2004)
by John Stillwell
An addition theorem is a formula expressing /(«, + u2) in terms of /(«,) and f(u2), and perhaps also f'(u}) and f'(u2). For example, the addition theorem for the sine function is sin(w, +w2) = sinw, Since the derivative, cosw, of sinw equals \/l -sin2w ...
Applied Mathematics (2016)
by CTI Reviews
Addition theorem: In mathematics, an addition theorem is a formula such as that for the exponential function ex + y =exˇey that expresses,foraparticular functionf, f intermsof f(x) andf( y) ...
Weighing Goods (2017)
Equality, Uncertainty and Time by John Broome
The second premise of the interpersonal addition theorem is that the general betterness relation is coherent.
by Sir Norman Lockyer
=o-6 by using the addition theorem is a method which seems unnecessarily cumbrous. P. 91, ex. 11. The equation are tan x: are sear—45° seems to lead to a cubic equation. Methods for solving cubics are not given until P- 144P ...
by Robert M. Martin
speech addition theorem 1' rule something. Some philosophers think that there can be a moral difference between these even when they have the same motives and outcome. For example, it has been argued that an act ...
The Dictionary of Psychology (2016)
by Ray Corsini
addition theorem A probability theorem to determine the chances of a complex event occurring when occurrences of simple events are known. additive ...
by Eric W. Weisstein
See also CONDON-SHORTLEY PHASE, CORRELATION COEFFICIENT, SECTORIAL HARMONIC, SOLID HARMONIC, SPHERICAL HARMONIC ADDITION THEOREM, SPHERICAL HARMONIC DIFFERENTIAL EQUATION, SPHERICAL ...
by I. Grattan-Guinness
The result was the famous addition theorem for elliptic integrals, published in 1757, which expresses the general integral of the differential equation as the 531 ELLIPTIC INTEGRALS AND FUNCTIONS.
by W. Gellert
Without using the x, y-system the addition theorem for the sine function can be derived from that for the cosine function and the quadrant relations for arbitrary angles: sin (2 + 6) = cos [t/2 – (or + 6)] = cos [(n/2 – c.) – 6] = cos (n/2 – c.) cos (–6) ...
The Encyclopedia Americana (1905)
A universal reference library comprising the arts and sciences ... commerce, etc., of the world by George Edwin Rines, Frederick Converse Beach
=sin a cos (9 — cos a sin /9, are together named the Addition Theorem for Sine and Cosine. Formula (1) is equivalent to the preceding one; (2) results from (1) on replacing — BiorB; (3) from (1) on ...
by Dipak K. Basu
addition theorem The identity , ...
by Michiel Hazewinkel
The addition theorem (which was formulated as a problem in ) was established in [ 3] for ...
Harmonic Waves: From harmonic addition theorem, any superposition of harmonic waves ...
Encyclopedia of Optimization (2001)
The addition theorem for expectation values and the symmetry of index choices yield Conv(ai, . . . , an) is a facet intersected by Span(u, v) Here, one integrates over all possible configurations of ai, . . . , am, u, v and weights with regard to the ...
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