fundamental congruence

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• Congruence subgroup — In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple example would be invertible 2x2 integer matrices of determinant 1, such that the off… …   Wikipedia

• Congruence (geometry) — An example of congruence. The two figures on the left are congruent, while the third is similar to them. The last figure is neither similar nor congruent to any of the others. Note that congruence …   Wikipedia

• Fundamental group — In mathematics, the fundamental group is one of the basic concepts of algebraic topology. Associated with every point of a topological space there is a fundamental group that conveys information about the 1 dimensional structure of the portion of …   Wikipedia

• Fundamental discriminant — In mathematics, a fundamental discriminant d is an integer that is the discriminant of a quadratic field. There is exactly one quadratic field with given discriminant, up to isomorphism.There are explicit congruence conditions that give the set… …   Wikipedia

• Ankeny-Artin-Chowla congruence — In number theory, the Ankeny Artin Chowla congruence is a result published in 1953 by N. C. Ankeny, Emil Artin and S. Chowla. It concerns the class number h of a real quadratic field of discriminant d > 0. If the fundamental unit of the field is …   Wikipedia

• AMERICAN ISRAEL PUBLIC AFFAIRS COMMITTEE (AIPAC) — AMERICAN ISRAEL PUBLIC AFFAIRS COMMITTEE (AIPAC), U.S. organization often viewed as a synonym for – if not the embodiment of – the Jewish lobby. Founded in 1951 to ensure the special relationship between the United States and Israel, AIPAC saw… …   Encyclopedia of Judaism

• Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… …   Wikipedia

• Core self-evaluations — (CSE) represent a stable personality trait which encompasses an individual’s subconscious, fundamental evaluations about themselves, their own abilities and their own control. People who have high core self evaluations will think positively of… …   Wikipedia

• Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… …   Wikipedia

• Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium