algebraic number field

  • 111Classical unified field theories — Since the 19th century, some physicists have attempted to develop a single theoretical framework that can account for the fundamental forces of nature – a unified field theory. Classical unified field theories are attempts to create a unified… …

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  • 112Electromagnetic field solver — Electromagnetic field solvers (or sometimes just field solvers) are specialized programs that solve (a subset of) Maxwell s equations directly. They form a part of the field of electronic design automation, or EDA, and are commonly used in the… …

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  • 113Tensor field — In mathematics, physics and engineering, a tensor field is a very general concept of variable geometric quantity. It is used in differential geometry and the theory of manifolds, in algebraic geometry, in general relativity, in the analysis of… …

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  • 114Heegner number — In number theory, a Heegner number is a (square free) positive integer d such that the imaginary quadratic fieldmathbf{Q}(sqrt{ d}) has class number 1. Equivalently, its ring of integers has a unique factorization.The determination of such… …

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  • 115algebra and algebraic structures — Generalized version of arithmetic that uses variables to stand for unspecified numbers. Its purpose is to solve algebraic equations or systems of equations. Examples of such solutions are the quadratic formula (for solving a quadratic equation)… …

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  • 116Real field — may refer to: * Real numbers, the numbers that can be represented by infinite decimals * Formally real field, an algebraic field that has the so called real property …

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  • 117Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …

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  • 118Ideal class group — In mathematics, the extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by a certain group known as an ideal class group (or class group). If… …

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  • 119Dirichlet's unit theorem — In mathematics, Dirichlet s unit theorem is a basic result in algebraic number theory due to Gustav Lejeune Dirichlet.[1] It determines the rank of the group of units in the ring OK of algebraic integers of a number field K. The regulator is a… …

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  • 120List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …

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