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least positive residue

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  • Residue (complex analysis) — In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for… …   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

  • Proofs of quadratic reciprocity — In the mathematical field of number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusual number of proofs. Several hundred proofs of the law of quadratic reciprocity have been found.Proofs that are …   Wikipedia

  • Distillation — Distiller and Distillery redirect here. For other uses, see Distiller (disambiguation) and Distillery (disambiguation). For other uses, see Distillation (disambiguation). Laboratory display of distillation: 1: A heating device 2: Still pot 3:… …   Wikipedia

  • Australia — /aw strayl yeuh/, n. 1. a continent SE of Asia, between the Indian and the Pacific oceans. 18,438,824; 2,948,366 sq. mi. (7,636,270 sq. km). 2. Commonwealth of, a member of the Commonwealth of Nations, consisting of the federated states and… …   Universalium

  • Gauss's lemma (number theory) — This article is about Gauss s lemma in number theory. Gauss s lemma (polynomial) concerns factoring polynomials. Gauss s lemma in number theory gives a condition for an integer to be a quadratic residue. Although it is not useful computationally …   Wikipedia

  • Idealism (italian) and after — Italian idealism and after Gentile, Croce and others Giacomo Rinaldi INTRODUCTION The history of twentieth century Italian philosophy is strongly influenced both by the peculiar character of its evolution in the preceding century and by… …   History of philosophy

  • KABBALAH — This entry is arranged according to the following outline: introduction general notes terms used for kabbalah the historical development of the kabbalah the early beginnings of mysticism and esotericism apocalyptic esotericism and merkabah… …   Encyclopedia of Judaism

  • Modular arithmetic — In mathematics, modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers wrap around after they reach a certain value the modulus. The Swiss mathematician Leonhard Euler pioneered the modern… …   Wikipedia

  • biblical literature — Introduction       four bodies of written works: the Old Testament writings according to the Hebrew canon; intertestamental works, including the Old Testament Apocrypha; the New Testament writings; and the New Testament Apocrypha.       The Old… …   Universalium

  • Anthropology and Archaeology — ▪ 2009 Introduction Anthropology       Among the key developments in 2008 in the field of physical anthropology was the discovery by a large interdisciplinary team of Spanish and American scientists in northern Spain of a partial mandible (lower… …   Universalium

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