- doubly-infinite sequence
- мат. бесконечная в обе стороны последовательность
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
Sequence — For other uses, see Sequence (disambiguation). In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length … Wikipedia
Sylvester's sequence — In number theory, Sylvester s sequence is a sequence of integers in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are::2, 3, 7, 43, 1807, 3263443, 10650056950807,… … Wikipedia
Cantor–Bernstein–Schroeder theorem — In set theory, the Cantor–Bernstein–Schroeder theorem, named after Georg Cantor, Felix Bernstein, and Ernst Schröder, states that, if there exist injective functions f : A → B and g : B → A between the sets A and B , then there exists a bijective … Wikipedia
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … Wikipedia
Furstenberg's proof of the infinitude of primes — In number theory, Hillel Furstenberg s proof of the infinitude of primes is a celebrated topological proof that the integers contain infinitely many prime numbers. When examined closely, the proof is less a statement about topology than a… … Wikipedia
Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms … Wikipedia
Triangulated category — A triangulated category is a mathematical category satisfying some axioms that are based on the properties of the homotopy category of spectra, and the derived category of an abelian category. A t category is a triangulated category with a t… … Wikipedia
Lamplighter group — In mathematics, the lamplighter group L of group theory is the wreath product Z/2Z ≀ Z. The base group B of L is :igoplus {( infty, +infty)} mathbb{Z}/2mathbb{Z}, and so L / B is isomorphic to Z. The standard presentation for the lamplighter… … Wikipedia
Cauchy product — In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… … 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
Algorithm characterizations — The word algorithm does not have a generally accepted definition. Researchers are actively working in formalizing this term. This article will present some of the characterizations of the notion of algorithm in more detail. This article is a… … Wikipedia