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Addition theorem


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 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 previewe-Study Guide for: Elementary Probability Theory (2012)

Statistics, Statistics by Cram101 Textbook Reviews

Addition theorem: In mathematics, an Addition theorem is a formula such as that for the exponential function ex + y = ex∙ey that expresses, foraparticular functionf, f(x +y)in terms of f(x )and f(y).

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 previewNine Introductions in Complex Analysis (2011)

by Sanford L. Segal

ll can be stated as: A meromorphic function with an algebraic addition theorem is a rational function of an elliptic Elliptic Functions 501.

Google previewMathematics and Its History (2002)

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 previewe-Study Guide for: Applied Mathematics (2014)

by Cram101 Textbook 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 previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein


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 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 previewEncyclopaedia of Mathematics (set) (1994)

by Michiel Hazewinkel

The addition theorem (which was formulated as a problem in ...

Google previewEncyclopedia of Optimization (2001)

by Christodoulos A. Floudas, P. M. Pardalos

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 ...

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 previewCompanion Encyclopedia of the History and Philosophy of the Mathematical Sciences (2002)

by Ivor Grattan-Guinness

The result was the famous addition theorem for elliptic integrals, published in 1757, which expresses the general integral of the differential equation dx d 531 ELLIPTIC INTEGRALS AND FUNCTIONS $4.5.

Google previewThe Century Dictionary and Cyclopedia: The Century dictionary ... prepared under the superintendence of William Dwight Whitney (1903)

Addition theorem, a formula for a function of a sum of variables, such as - - sin ( a + ...

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