On this page:
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
Click on a title to look inside that book (if available):
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 ...
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).
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 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.
Mathematics 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 ...
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) ...
by Eric W. Weisstein
See a/so CONDON-SHORTLEY PHASE, CORRELATION COEFFICIENT, SECTORIAL HARMONIC, SOLID HARMONIC, SPHERICAL HARMONIC ADDITION THEOREM, SPHERICAL HARMONIC DIFFERENTIAL EQUATION, SPHERICAL ...
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) ...
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 ...
by Michiel Hazewinkel
The addition theorem (which was formulated as a problem in ...
Encyclopedia 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 ...
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 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.
The 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 + ...
Online dictionaries and encyclopedias with entries for Addition theorem
Click on a label to prioritize search results according to that topic:
Share this page
Go to the pronunciation of Addition theorem to learn how to say it correctly!