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Titlebook: Computational Algebraic Number Theory; Michael E. Pohst Book 1993 Springer Basel AG 1993 Algebra.coding theory.cryptography.finite field.g

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Damped Single Degree-of-Freedom Systemater chapters. All results can be easily generalized to principal entire rings . For practical calculations, however, we need a Euclidean division algorithm in . for the computation of the greatest common divisor of two elements. Proofs of Lemmata 1.1, 1.2, 1.6, 1.7 and Theorem 1.3, 1.5 for principa
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Damped Motion of Shear Buildingscalled the . of .. Clearly, ℚ(.) = . ≅ ℚ[.].(.)ℚ[.], and the successive powers l, .,…, .. form a basis of . over ℚ. For describing the arithmetic in . we will need the counterpart of the rational integers in . These integers of . are defined as those elements of . which are .., i.e. zeros of monic n
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Damped Single Degree-of-Freedom System… until .. = .. for some . ∈ ℤ.. Prom our considerations in chapter III we know that . is in ℤ. since that quotient equals the absolute value of the determinant of a transition matrix from a basis of .. to a basis of ... Prom chapters III, IV we recall that ∣d(.)∣ = .(..)., ∣..∣ = .(..).. Since with
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Damped Motion of Shear Buildingsrried out in terms of that basis along the lines of chapter IV. The units of ., i.e. those elements of . which have a multiplicative inverse, form a group whose structure is well known since about 150 years.
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Oberwolfach Seminarshttp://image.papertrans.cn/c/image/232089.jpg
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https://doi.org/10.1007/978-3-0348-8589-8Algebra; coding theory; cryptography; finite field; geometry; mathematics; number theory
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978-3-7643-2913-6Springer Basel AG 1993
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Computation of the unit group,rried out in terms of that basis along the lines of chapter IV. The units of ., i.e. those elements of . which have a multiplicative inverse, form a group whose structure is well known since about 150 years.
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