Results 71 to 80 of about 39,911 (195)
100 years of GAMM: Motivation, history and achievements
Abstract The International Association of Applied Mathematics and Mechanics (Gesellschaft für Angewandte Mathematik und Mechanik, GAMM) was founded in 1923 with the goal to strengthen the field of scientific engineering by the foundation of an Engineering Association with strong scientific contacts to Applied Mathematics.
Wolfgang Ehlers
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Leibniz algebras generated by one element, called cyclic, provide simple and illuminating examples of many basic concepts. It is the purpose of this paper to illustrate this fact.
Bugg, Kristin +4 more
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Leibniz algebras constructed by Witt algebras [PDF]
We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
L. M. Camacho +2 more
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Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad +4 more
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AGGREGATION AND BRACKETS IN MODERN MATHEMATICS: INTRODUCTION TO LOGICALSEMIOTIC ANALYSIS
The article is a logical-methodological investigation in semiotic history of mathematics. It is studied in the article the history of meanings of designation of aggregation and using of brackets and other parentheses in mathematics. The term “aggregation”
Тарас Шиян
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This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam +4 more
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Leibniz Representations of Lie Algebras
The authors examine the category \(L({\mathfrak g})\) of finite-dimensional Leibniz representation [the authors, Math. Ann. 296, 139-158 (1993; Zbl 0821.17022)] of the finite-dimensional semisimple Lie algebra \({\mathfrak g}\). First, they notice that \(L({\mathfrak g})\) is not semisimple even when the characteristic of the field \(k\) is 0.
Loday, J-L, Pirashvili, T
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Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad +3 more
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Odd Jacobi Manifolds and Loday-Poisson Brackets
We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
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How Accurate is Richardson's Error Estimate?
ABSTRACT We consider the fundamental problem of estimating the difference between the exact value T$$ T $$ and approximations Ah$$ {A}_h $$ that depend on a single real parameter h$$ h $$. It is well‐known that if the error Eh=T−Ah$$ {E}_h=T-{A}_h $$ satisfies an asymptotic expansion, then we can use Richardson extrapolation to approximate Eh$$ {E}_h $$
Carl Christian Kjelgaard Mikkelsen +1 more
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