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modulo product

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  • Product of rings — In mathematics, it is possible to combine several rings into one large product ring. This is done as follows: if I is some index set and Ri is a ring for every i in I, then the cartesian product Πi in I Ri can be turned into a ring by defining… …   Wikipedia

  • Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… …   Wikipedia

  • Primitive root modulo n — In modular arithmetic, a branch of number theory, a primitive root modulo n is any number g with the property that any number coprime to n is congruent to a power of g (mod n ). That is, if g is a primitive root (mod n ) and gcd( a , n ) = 1,… …   Wikipedia

  • Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …   Wikipedia

  • Universal Product Code — The Universal Product Code (UPC) is a barcode symbology (i.e., a specific type of barcode), that is widely used in the United States and Canada for tracking trade items in stores. Current code The UPC encodes 12 decimal digits as SLLLLLLMRRRRRRE …   Wikipedia

  • Seven-dimensional cross product — In mathematics, the seven dimensional cross product is a binary operation on vectors in a seven dimensional Euclidean space. It is a generalization of the ordinary three dimensional cross product. The seven dimensional cross product has the same… …   Wikipedia

  • Tensor product of modules — In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (roughly speaking, multiplication ) to be carried out in terms of linear maps (module homomorphisms). The module construction is analogous… …   Wikipedia

  • Euler product — In number theory, an Euler product is an infinite product expansion, indexed by prime numbers p , of a Dirichlet series. The name arose from the case of the Riemann zeta function, where such a product representation was proved by Euler.In general …   Wikipedia

  • Reduced product — In model theory, a branch of mathematical logic, the reduced product is a construction that generalizes both direct product and ultraproduct.A reduced product of a family of objects is the direct product of the family modulo a filter. The filter… …   Wikipedia

  • Universal Product Code — UPC 12 (GTIN 12) Nummer als UPC A Barcode symbol einkodiert. Der Strichcode Universal Product Code, kurz UPC, wurde 1973 in den USA eingeführt. Durch ihn erhalten Produkte einen Nummerncode, den Barcodescanner berührungslos auslesen. Drei Jahre… …   Deutsch Wikipedia

  • Quadratic residue — In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: Otherwise, q is called a quadratic nonresidue modulo n. Originally an abstract… …   Wikipedia

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