Results 71 to 80 of about 15,204 (313)
Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
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On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices
Abstract and Applied Analysis, 2014 Circulant matrices have important applications in solving various differential equations. The level-k scaled factor circulant matrix over any field is introduced.
Zhaolin Jiang
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Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
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Contributions to Plasma Physics, EarlyView.ABSTRACT A methodological study is presented on a noninvasive photometric diagnostic for determining trends in electron density and sheath dynamics in single (1f) and a dual (2f) radio frequency capacitively coupled (CCRF) argon plasmas. The 1f discharges are operated at 13.56 and 27.12 MHz, respectively, while the 2f discharge is driven by both ...
Daniel Zuhayra +3 more
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The Curriculum Journal, EarlyView.Abstract This study explored how lecturers in a post‐92 UK university conceptualise and enact decolonial curriculum principles within their teaching and programme design. Drawing on semi‐structured interviews with academic staff across multiple disciplines, the research adopts a qualitative, phenomenologically informed approach to examine the interplay
Reece Sohdi
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Linear Independence of 𝑞-Logarithms over the Eisenstein Integers
International Journal of Mathematics and Mathematical Sciences, 2010 For fixed complex 𝑞 with |𝑞|>1, the 𝑞-logarithm 𝐿𝑞 is the meromorphic continuation of the series ∑𝑛>0𝑧𝑛/(𝑞𝑛−1),|𝑧|1,𝑐≠𝑞,𝑞2,𝑞3,…. In 2004, Tachiya showed that this is true in the Subcase 𝐾=ℚ, 𝑞∈ℤ, 𝑐=−1, and the present authors extended this result to ...
Peter Bundschuh, Keijo Väänänen
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Theory of cyclic algebras over an algebraic number field [PDF]
Transactions of the American Mathematical Society, 1932 I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
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Resonance‐induced restoration of rock permeability degraded by heavy components of crude oil
Deep Underground Science and Engineering, EarlyView.Resonance‐induced changes occur in filtration properties of sedimentary rocks in crude paraffin oil flow under acoustic vibrations. Experimental data on (a) pressure drop; (b) permeability; (c) pressure at the rock inlet; and (d) pressure at the rock outlet are presented.
Evgenii Riabokon +6 more
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Representability by certain norm forms over algebraic number fields [PDF]
, 1975 John Thomas Smith
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Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic [PDF]
, 2020 WonTae Hwang
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