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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 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 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 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 previewBlackie’s Dictionary of Physics

by Blackie

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

Google previewEncyclopedic Dictionary of Mathematics (1993)

by Kiyosi Itô

Thus for any elliptic function an algebraic addition theorem holds. G. Elliptic Functions of the Second Kind As an extension of the definition of elliptic functions , if a tmeromorphic function f satisfies the relations ffll+2wil=lliffuh ffu+2wsi=l13ffld ...

Google previewEncyclopaedia of Mathematics (set) (1994)

by Michiel Hazewinkel

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

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 previewComprehensive Dictionary of Education (2008)

by Maqbool Ahmad

Addition theorem. Means a theorem used to determine the probability of a complex event consisting of one or more altemative occurrences of simple events whose probabilities are known. Additive color mixture. The mixing of lights, in which ...

Google previewThe Dictionary of Psychology (2002)

by Raymond J. Corsini

addition theorem A prohahility theorem to determine the chances of a complex evem occurring when occurrences of simple evems are known. additive ...

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