Results 11 to 20 of about 84,803 (254)
All Liouville Numbers are Transcendental [PDF]
Formalized Mathematics, 2017 Summary In this Mizar article, we complete the formalization of one of the items from Abad and Abad’s challenge list of “Top 100 Theorems” about Liouville numbers and the existence of transcendental numbers. It is item #18 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100 ...
Artur Kornilowicz +2 more
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Continued fractions and transcendental numbers [PDF]
, 2005 It is widely believed that the continued fraction expansion of every irrational algebraic number $\alpha$ either is eventually periodic (and we know that this is the case if and only if $\alpha$ is a quadratic irrational), or it contains arbitrarily ...
Adamczewski, Boris +2 more
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Mathematics and physical reality: The theme of the absence of the “Transcendental Signifi ed” in the language of modern fundamental science [PDF]
Известия Саратовского университета. Новая серия: Серия Философия. Психология. Педагогика, 2023 Introduction. It is argued that today the expansion of mathematics into the field of physical reality is not being performed in line with the classical paradigm, but in line with the linguistic turn of non-classical philosophy. Theoretical analysis. Such
Duplinskya, Yuliya Mikhailovna
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International Journal of Mathematics and Mathematical Sciences, 1992 Explicit finite algebraic formulas are given for some well-known sequences, including complements of polynomial sequences.
Scott J. Beslin
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Continued fractions for some transcendental numbers [PDF]
, 2015 We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequence $x_n$ satisfies a certain non-autonomous recurrence of second order, which entails that $x_n|x_{n+1}$ for n?1.
Andrew N. W. Hone +4 more
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A Novel Method for Image Encryption Based on Chaos and Transcendental Numbers
IEEE Access, 2019 In this paper, a method for image encryption is proposed based on a novel approach using chaos and transcendental numbers for generating the substitution box and the ciphering keys. The Chaotic Pi Ciphering (CPC) is a robust symmetric cryptosystem of the
Victor Manuel Silva Garcia +4 more
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Approximating L2-invariants, and the Atiyah conjecture [PDF]
, 2003 Let G be a torsion free discrete group and let \bar{Q} denote the field of algebraic numbers in C. We prove that \bar{Q}[G] fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains in particular all groups which are ...
Atiyah +21 more
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Unification Theories: Examples and Applications
Axioms, 2018 We consider several unification problems in mathematics. We refer to transcendental numbers. Furthermore, we present some ways to unify the main non-associative algebras (Lie algebras and Jordan algebras) and associative algebras.
Florin F. Nichita
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Transcendental numbers and the topology of three-loop bubbles [PDF]
, 1999 We present a proof that all transcendental numbers that are needed for the calculation of the master integrals for three-loop vacuum Feynman diagrams can be obtained by calculating diagrams with an even simpler topology, the topology of spectacles ...
A. A. Pivovarov +22 more
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Promiscuity‐Guided Enzyme Evolution via Substrate Multiplexed Screening
Angewandte Chemie, EarlyView.Through historical context and recent examples, this Minireview summarizes the strengths, limitations, and practical considerations for the implementation of substrate multiplexed screening (SUMS) in enzyme evolution. ABSTRACT An enzyme's ability to react with diverse substrates while maintaining high yield and selectivity, termed “substrate ...
Holly A. Weilbaker +3 more
wiley +2 more sources