Results 41 to 50 of about 385,070 (322)
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 Since Geronimo Cardano, algebraic equations of degree 4 have been solved analytically. Frequently, the solution algorithm is given in its entirety. We discovered two algorithms that lead to the same resolvente, each with two solutions; therefore, six ...
Norbert Südland +2 more
doaj
THE SIMILARITY DEGREE OF SOME -ALGEBRAS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe define the class of weakly approximately divisible unital${C}^{\ast } $-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any${C}^{\ast } $-algebra, and quotients. A nuclear${C}^{\ast } $-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations ...
Hadwin, Don, Li, Weihua
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Similarity Sorting Method for Retrieval Results of Linear Algebra Formula [PDF]
Jisuanji gongcheng, 2018 Compared with the general mathematical formula,linear algebra formula has more complex structure and richer syntax and semantics,so it is more difficult to achieve its retrieval.Through the analysis of linear algebraic retrieval,several matching modes of
SUN Mengying,TIAN Xuedong
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The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
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Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials
Journal of Numerical Analysis and Approximation Theory, 2019 E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
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A modified similarity degree for C*-algebras
Acta Scientiarum Mathematicarum, 2022 11 papes.
Hadwin, Don, Shen, Junhao
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Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Some examples of algebraic surfaces with canonical map of degree 20
Comptes Rendus. Mathématique, 2021 In this note, we construct two minimal surfaces of general type with geometric genus $ p_g = 3 $, irregularity $ q = 0 $, self-intersection of the canonical divisor $ K^2 = 20, 24 $ such that their canonical map is of degree $ 20 $.
Bin, Nguyen
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Limitations of Algebraic Approaches to Graph Isomorphism Testing
, 2015 We investigate the power of graph isomorphism algorithms based on algebraic reasoning techniques like Gr\"obner basis computation. The idea of these algorithms is to encode two graphs into a system of equations that are satisfiable if and only if if the ...
A Atserias +10 more
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
Advanced Functional Materials, EarlyView.A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
wiley +1 more source