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Hyperchaotic color image encryption using eight-base DNA complementary rules and extended Zigzag transform. [PDF]
PLoS OneYang B.
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Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]
MethodsXDevadas RM +5 more
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Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks. [PDF]
J Math BiolHenriksson O +3 more
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Scalar wave diffraction by an open-ended sphere-conical cavity: the Abel integral transform in the Dirichlet and Neumann problems. [PDF]
Philos Trans A Math Phys Eng SciKuryliak D, Lysechko V.
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A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Sci RepHamood MM, Sharif AA, Ghadle KP.
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Springer Undergraduate Texts in Mathematics and Technology, 2021
Wolfram Koepf
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Wolfram Koepf
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RATIONAL APPROXIMATIONS TO ALGEBRAIC NUMBERS
Mathematics of the USSR-Izvestiya, 1971In this article we derive a new effective estimate of rational approximations to algebraic numbers simultaneously in an Archimedian and several non-Archimedian metrics.
V. Sprindžuk
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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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