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Addition theorem

Explanation

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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Google previewAn Exploration of Dynamical Systems and Chaos (2015)

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.

Google previewElements 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 ...

Google previewMathematics 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 ...

Google previewApplied 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) ...

Google previewWeighing 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.

Google previewNature (1920)

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 ...

Google previewThe Philosopher's Dictionary - Third Edition (2002)

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 ...

Google previewThe 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 ...

Google previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

See also CONDON-SHORTLEY PHASE, CORRELATION COEFFICIENT, SECTORIAL HARMONIC, SOLID HARMONIC, SPHERICAL HARMONIC ADDITION THEOREM, SPHERICAL HARMONIC DIFFERENTIAL EQUATION, SPHERICAL ...

Google previewCompanion Encyclopedia of the History and Philosophy of the Mathematical Sciences (2003)

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.

Google previewThe VNR Concise Encyclopedia of Mathematics (2012)

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) ...

Google previewThe 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 ...

Google previewDictionary of Material Science and High Energy Physics (2001)

by Dipak K. Basu

addition theorem The identity , ...

Google previewEncyclopaedia of Mathematics (set) (1994)

by Michiel Hazewinkel

The addition theorem (which was formulated as a problem in [1]) was established in [ 3] for ...

Google previewBlackie’s Dictionary of Physics

by Blackie

Harmonic Waves: From harmonic addition theorem, any superposition of harmonic waves ...

Google previewEncyclopedia 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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