# addition theorem

*noun*

*Useful english dictionary.
2012.*

### Look at other dictionaries:

**Addition theorem**— In mathematics, an addition theorem is a formula such as that for the exponential function: e x + y = e x · e y that expresses, for a particular function f , f ( x + y ) in terms of f ( x ) and f ( y ). Slightly more generally, as is the case… … Wikipedia**Addition**— is the mathematical process of putting things together. The plus sign + means that two numbers are added together. For example, in the picture on the right, there are 3 + 2 apples meaning three apples and two other apples which is the same as… … Wikipedia**Addition of natural numbers**— is the most basic arithmetic binary operation. The operation addition takes two natural numbers, the augend and addend, and produces a single number, the sum. The set of natural numbers will be denoted by N, and 0 will be used to denote the… … Wikipedia**Mordell–Weil theorem**— In mathematics, the Mordell–Weil theorem states that for an abelian variety A over a number field K, the group A(K) of K rational points of A is a finitely generated abelian group, called the Mordell Weil group. The case with A an elliptic curve… … Wikipedia**Deduction theorem**— In mathematical logic, the deduction theorem is a metatheorem of first order logic.[1] It is a formalization of the common proof technique in which an implication A → B is proved by assuming A and then proving B from this assumption.… … Wikipedia**Newton's theorem of revolving orbits**— Figure 1: An attractive force F(r) causes the blue planet to move on the cyan circle. The green planet moves three times faster and thus requires a stronger centripetal force, which is supplied by adding an attractive inverse cube force. The … Wikipedia**Nyquist–Shannon sampling theorem**— Fig.1: Hypothetical spectrum of a bandlimited signal as a function of frequency The Nyquist–Shannon sampling theorem, after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular… … Wikipedia**Cayley's theorem**— In group theory, Cayley s theorem, named in honor of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group on G . This can be understood as an example of the group action of G on the elements of G .A… … Wikipedia**Shannon–Hartley theorem**— In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy channel coding… … Wikipedia**Perron–Frobenius theorem**— In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… … Wikipedia