prime subfield

  • 41Gaussian period — In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. They permit explicit calculations in cyclotomic fields, in relation both with Galois theory and with harmonic analysis (discrete Fourier… …

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  • 42McEliece cryptosystem — In cryptography, the McEliece cryptosystem is an asymmetric encryption algorithm developed in 1978 by Robert McEliece.[1] It was the first such scheme to use randomization in the encryption process. The algorithm has never gained much acceptance… …

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  • 43Automated reasoning — is an area of computer science dedicated to understand different aspects of reasoning. The study in automated reasoning helps produce software which allows computers to reason completely, or nearly completely, automatically. Although automated… …

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  • 44Probabilistic number theory — is a subfield of number theory, which uses explicitly probability to answer questions of number theory. One basic idea underlying it is that different prime numbers are, in some serious sense, like independent random variables. This however is… …

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  • 45Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …

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  • 46political science — political scientist. a social science dealing with political institutions and with the principles and conduct of government. [1770 80] * * * Academic discipline concerned with the empirical study of government and politics. Political scientists… …

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  • 47Constructible number — For numbers constructible in the sense of set theory, see Constructible universe. A point in the Euclidean plane is a constructible point if, given a fixed coordinate system (or a fixed line segment of unit length), the point can be constructed… …

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  • 48Economics — This article is about the social science. For other uses, see Economics (disambiguation). For a topical guide to this subject, see Outline of economics. Economics …

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  • 49Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that …

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  • 50Epoch (reference date) — In the fields of chronology and periodization, an epoch means an instant in time chosen as the origin of a particular era. The epoch then serves as a reference point from which time is measured. Time measurement units are counted from the epoch… …

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