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Computer algebra in gravity research
Living Reviews in Relativity, 2018 The complicated nature of calculations in general relativity was one of the driving forces in the early development of computer algebra (CA). CA has become widely used in gravity research (GR) and its use can be expected to grow further. Here the general
Malcolm A H Maccallum
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On the multiplicative group generated by {[√2 n]/n | n∈ℕ}. V [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let f,g be completely multiplicative functions, |f(n)|=|g(n)|=1 (n∈ℕ). Assume that 1/logxΣₙ≤ₓ |g([√2n])-Cf(n)| / n →0 (x→∞). Then f(n)=g(n)=n^{iτ}, C=(√2)^{τ}, τ∈ℝ.
I. Kátai, B. M. Phong
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Parallel computer algebra system
Lietuvos Matematikos Rinkinys, 2001 There is not abstract.
Valdona Judickaitė +2 more
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Computer algebra and applications
Lietuvos Matematikos Rinkinys, 2002 Short review of computer algebra systems Macsyma, Maple, Derive, Mathematica, MuPad, Maxima.
Aleksas Domarkas +2 more
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Computations in finite-dimensional Lie algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 This paper describes progress made in context with the construction of a general library of Lie algebra algorithms, called ELIAS (Eindhoven Lie Algebra System), within the computer algebra package GAP.
A. M. Cohen, W. A. Graaf, L. Rónyai
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Fedlabx: a practical and privacy-preserving framework for federated learning
Complex & Intelligent Systems, 2023 Federated learning (FL) draws attention in academia and industry due to its privacy-preserving capability in training machine learning models. However, there are still some critical security attacks and vulnerabilities, including gradients leakage and ...
Yuping Yan +7 more
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Usage of computer algebra in teaching process
Lietuvos Matematikos Rinkinys, 1998 This work was intended to motivate the necessity of intensive training of mathematics utilising the computer algebra MAPLE in Lithuanian Military Academy.
Aleksas Domarkas +4 more
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Extension of the Sophomore’s Dream
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this article, we are going to look at the convergence properties of the integral ∫01(ax+b)cx+ddx\int_0^1 {{{\left( {ax + b} \right)}^{cx + d}}dx}, and express it in series form, where a, b, c and d are real parameters.
Román Gábor
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Fixed Points Results for Various Types of Tricyclic Contractions
Axioms, 2021 In this paper, we introduce four new types of contractions called in this order Kanan-S-type tricyclic contraction, Chattergea-S-type tricyclic contraction, Riech-S-type tricyclic contraction, Cirić-S-type tricyclic contraction, and we prove the ...
Mustapha Sabiri +3 more
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Lie Algebra Computations [PDF]
Acta Applicandae Mathematicae, 1989 In the context of analysing nonlinear evolution equations by the prolongation method, there arises the problem of determining a Lie algebra given a certain number of relations between some of the Lie products and some of the generators. Except in very easy cases this involves a lot of algebraic manipulation, albeit of a very routine nature.
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