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# sum taken over

мат. сумма, взятая по

Большой англо-русский и русско-английский словарь. 2001.

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• Sum 41 — live in concert at the West Palm Beach Warped Tour 2010 …   Wikipedia

• Character sum — In mathematics, a character sum is a sum of values of a Dirichlet character χ modulo N, taken over a given range of values of n. Such sums are basic in a number of questions, for example in the distribution of quadratic residues, and in… …   Wikipedia

• Divergence of the sum of the reciprocals of the primes — The sum of the reciprocals of all prime numbers diverges, that is: This was proved by Leonhard Euler in 1737, and strengthens Euclid s 3rd century BC result that there are infinitely many prime numbers. There is a variety of proofs of Euler s… …   Wikipedia

• Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… …   Wikipedia

• Kloosterman sum — In mathematics, a Kloosterman sum is a particular kind of exponential sum. Let a , b , m be natural numbers. Then :K(a,b;m)=sum {0leq xleq m 1, gcd(x,m)=1 } e^{2pi i (ax+bx^*)/m},Here x* is the inverse of x modulo m . They are named for the Dutch …   Wikipedia

• Kummer sum — In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p , with p congruent to 1 modulo 3. They are named after Ernst Kummer, who made a conjecture about the statistical properties of their arguments, as… …   Wikipedia

• Murasugi sum — noun a) The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are… …   Wiktionary

• Exponential sum — In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function:e(x) = exp(2pi ix).Therefore a typical… …   Wikipedia

• Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… …   Wikipedia

• The Sum of All Fears (film) — Infobox Film name = The Sum of All Fears caption = Theatrical poster for The Sum of All Fears . director = Phil Alden Robinson producer = Mace Neufeld writer = Tom Clancy (novel) Paul Attanasio, Daniel Pyne (screenplay) starring = Ben Affleck… …   Wikipedia

• Legal disputes over the Harry Potter series — Since first coming to wide notice in the late 1990s, the Harry Potter book series by J. K. Rowling has engendered a number of legal disputes. Rowling, her various publishers and Time Warner, the owner of the rights to the Harry Potter films, have …   Wikipedia

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