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Cryptographic protection of RGB images using SPN over Eisenstein integer ring modulo Eisenstein prime. [PDF]
Sajjad M +4 more
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Optimizing decision making with Fermatean fuzzy soft Hamachar operators in the analysis of anaphylaxis (a life-threatening allergic reaction). [PDF]
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ON ALGEBRAIC INDEPENDENCE OF ALGEBRAIC POWERS OF ALGEBRAIC NUMBERS
Mathematics of the USSR-Sbornik, 1985This paper contains a complete proof of the following theorem. Let \(\alpha\neq 0,1\) be algebraic, let \(\beta\) be algebraic of degree \(d\geq 2\), and let t be the transcendence degree over \({\mathbb{Q}}\) of the field generated by the numbers (*) \(\alpha^{\beta},...,\alpha^{\beta^{d- 1}}\).
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On Reconstruction of Algebraic Numbers
2000Let L be a number field and \(\mathfrak{a}\) be an ideal of some order of L. Given an algebraic number α mod \(\mathfrak{a}\) and some bounds we show how to effectively reconstruct a number b if it exists such that b is smaller then the given bound and b ≡a mod \(\mathfrak{a}\).
Claus Fieker, Carsten Friedrichs
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Identification of algebraic numbers
Journal of Algorithms, 1982We consider the following two questions: (1) If a and /3 are given algebraic numbers, suppose that approximations (Y’ of OL and j3’ of /3 are known, can we decide whether (Y = j3 or not? (2) If 5 is a complex number given by some limit process, suppose that some approximation I’ of 4 has been computed, can we guess that 6 is an algebraic number and ...
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Algebra and Algebraic Number Theory
1992The 19th century was an age of deep qualitative transformations and, at the same time, of great discoveries in all areas of mathematics, including algebra. The transformation of algebra was fundamental in nature. Between the beginning and the end of the last century, or rather between the beginning of the last century and the twenties of this century ...
I. G. Bashmakova, A. N. Rudakov
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Journal of Mathematical Sciences
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