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Urea Detection in Phosphate Buffer and Artificial Urine: A Simplified Kinetic Model of a pH-Sensitive EISCAP Urea Biosensor. [PDF]
Simonyan K +4 more
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Optimization by decoded quantum interferometry. [PDF]
Jordan SP +8 more
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Hyperchaotic color image encryption using eight-base DNA complementary rules and extended Zigzag transform. [PDF]
Yang B.
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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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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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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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Hall Numbers and the Composition Algebra of the Kronecker Algebra
Algebras and Representation Theory, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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