binary quadratic

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• Binary quadratic form — In mathematics, a binary quadratic form is a quadratic form in two variables. More concretely, it is a homogeneous polynomial of degree 2 in two variables where a, b, c are the coefficients. Properties of binary quadratic forms depend in an… …   Wikipedia

• Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   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

• Quadratic field — In algebraic number theory, a quadratic field is an algebraic number field K of degree two over Q. It is easy to show that the map d ↦ Q(√d) is a bijection from the set of all square free integers d ≠ 0, 1 to the set of… …   Wikipedia

• Quadratic sieve — The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve). It is still the fastest for integers under 100 decimal digits or so, and is… …   Wikipedia

• Binary Golay code — In mathematics and computer science, a binary Golay code is a type of error correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection to the theory …   Wikipedia

• Quadratic residue code — A quadratic residue code is a type of cyclic code.There is a quadratic residue code of length pover the finite field GF(l) whenever pand l are primes, p is odd andl is a quadratic residue modulo p.Its generator polynomial as a cyclic code is… …   Wikipedia

• Binary matrix — In mathematics, particularly matrix theory, a binary matrix or (0,1) matrix is a matrix in which each entry is either zero or one. For example::egin{pmatrix}0 11 0end{pmatrix} is a 2 × 2 binary matrix.Frequently operations on binary matrices are …   Wikipedia

• Binäre quadratische Form — Eine binäre quadratische Form (in diesem Artikel oft kurz nur Form genannt), ist in der Mathematik eine quadratische Form in zwei Variablen x,y, also ein Polynom der Gestalt , wobei a,b,c die Koeffizienten der Form sind. Die Form f mit schreibt… …   Deutsch Wikipedia

• List of important publications in mathematics — One of the oldest surviving fragments of Euclid s Elements, found at Oxyrhynchus and dated to circa AD 100. The diagram accompanies Book II, Proposition 5.[1] This is a list of important publications in mathematics, organized by field. Some… …   Wikipedia

• Vorlesungen über Zahlentheorie — de. Vorlesungen über Zahlentheorie (German for Lectures on Number Theory ) is a textbook of number theory written by German mathematicians P.G.L. Dirichlet and Richard Dedekind, and published in 1863.Based on Dirichlet s number theory course at… …   Wikipedia