Results 51 to 60 of about 213,365 (281)
On the Hilbert series of vertex cover algebras of Cohen-Macaulay bipartite graphs [PDF]
, 2009 We study the Hilbert function and the Hilbert series of the vertex cover algebra $A(G)$, where $G$ is a Cohen-Macaulay bipartite graph.Comment: 12 ...
Ion, Cristian
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Commentarii Mathematici Helvetici, 1994 Let \(\Lambda\) be an associative unitary finite-dimensional \(\mathbb{C}\)-algebra which is representation finite. This means that the number of isomorphism classes of indecomposable finite-dimensional \(\Lambda\)-left modules is finite. Let us fix a set \(\mathcal F\) of representatives for these isomorphism classes. We showed [\textit{C. Riedtmann},
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Galois coverings of selfinjective algebras by repetitive algebras [PDF]
Transactions of the American Mathematical Society, 1999 Let \(A\) be a basic and connected selfinjective Artin algebra. Then the right and the left socles of \(A\) coincide and are denoted by \(\text{soc }A\). Two selfinjective algebras \(A\) and \(A'\) are called socle-equivalent if the quotient algebras \(A/\text{soc} A\) and \(A'/\text{soc} A'\) are isomorphic.
Skowroński, Andrzej, Yamagata, Kunio
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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
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An exceptional cluster algebra for Higgs plus jet production
Journal of High Energy PhysicsA recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G 2 cluster algebra, enlarging the
Rigers Aliaj, Georgios Papathanasiou
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Computer Assisted Methods in Engineering and Science, 2020 This paper presents the application of affine numbers to determine the time of concrete cover cracking in reinforced concrete elements from the initiation of the reinforcement corrosion. This issue is crucial for evaluating sustainability and durability
Tomasz Krykowski
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Galois Coverings of Weakly Shod Algebras [PDF]
Communications in Algebra, 2010 We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois coverings of its connecting component. As a consequence, we show that a weakly shod algebra is simply connected if and only if its first Hochschild ...
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System
Advanced Science, EarlyView.A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu +15 more
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On four-point connectivities in the critical 2d Potts model
SciPost Physics, 2019 We perform Monte-Carlo computations of four-point cluster connectivities in the critical 2d Potts model, for numbers of states $Q\in (0,4)$ that are not necessarily integer.
Marco Picco, Sylvain Ribault, Raoul Santachiara
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