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In mathematics, specifically algebraic geometry, a period or algebraic period [1] is a complex number that can be expressed as an integral of an algebraic function over an algebraic domain. The periods are a class of numbers which includes, alongside the algebraic numbers, many well known mathematical constants such as the number π .
Quizlet was founded in October 2005 by Andrew Sutherland, who at the time was a 15-year old student, [2] and released to the public in January 2007. [3] Quizlet's primary products include digital flash cards , matching games , practice electronic assessments , and live quizzes.
[2] arg max – argument of the maximum. arg min – argument of the minimum. arsech – inverse hyperbolic secant function. arsinh – inverse hyperbolic sine function. artanh – inverse hyperbolic tangent function. a.s. – almost surely. atan2 – inverse tangent function with two arguments. (Also written as arctan2.) A.P. – arithmetic ...
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In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology. Informally, this means that if G acts unitarily on a Hilbert space and has "almost invariant vectors", then it has a nonzero invariant vector .
Serial dilution is one of the core foundational practices of homeopathy, with "succussion", or shaking, occurring between each dilution.In homeopathy, serial dilutions (called potentisation) are often taken so far that by the time the last dilution is completed, no molecules of the original substance are likely to remain.
There are several inequivalent definitions of almost periodic functions. The first was given by Harald Bohr. His interest was initially in finite Dirichlet series.In fact by truncating the series for the Riemann zeta function ζ(s) to make it finite, one gets finite sums of terms of the type
The Euclidean group of all rigid motions of the plane (maps f : 2 → 2 such that the Euclidean distance between x and y equals the distance between f(x) and f(y) for all x and y in ) is isomorphic to a semidirect product of the abelian group (which describes translations) and the group O(2) of orthogonal 2 × 2 matrices (which describes ...