Results 111 to 120 of about 612,388 (310)
Advanced Science, EarlyView.The practical application of chromophores such as porphyrins, coumarins, anthraquinones, and pyrene derivatives in photocatalysis is severely limited by catalyst stability and reusability. In this work, a simple and universal strategy is presented for preparing highly efficient and recyclable heterogeneous photocatalysts for the oxidative coupling of ...
Xuan Zhan +9 more
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Eigenvalue Conditions for Induced Subgraphs
Discussiones Mathematicae Graph Theory, 2015 Necessary conditions for an undirected graph G to contain a graph H as induced subgraph involving the smallest ordinary or the largest normalized Laplacian eigenvalue of G are presented.
Harant Jochen +2 more
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An eigenvalue problem possessing a continuous family of eigenvalues plus an isolated eigenvalue
Communications on Pure and Applied Analysis, 2010 In this paper we analyze an eigenvalue problem, involving a homogeneous Neumann boundary condition, in a smooth bounded domain. We show that the problem possesses, on the one hand, a continuous family of eigenvalues and, on the other hand, exactly one more eigenvalue which is isolated in the set of eigenvalues of the problem.
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CeiTEA: Adaptive Hierarchy of Single Cells with Topological Entropy
Advanced Science, EarlyView.CeiTEA, a novel hierarchical clustering algorithm based on topological entropy, effectively captures complex structures underlying data. By constructing an adaptive multi‐nary partition tree, CeiTEA reveals hierarchical structures and local diversifications, outperforming existing methods in clustering accuracy and consistency and providing the ...
Bowen Tan +3 more
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Some remarks on a class of eigenvalue problems with special boundary conditions [PDF]
, 1953 Glenn Morgan
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Advanced Science, EarlyView.Precise tuning of interlayer magnetic coupling in two‐dimensional bilayers enables control over altermagnetic and PT‐symmetric antiferromagnetic phases. This dual‐phase platform yields two intrinsic Hall responses: a Berry curvature–driven linear anomalous Hall effect and a quantum metric–induced second‐order nonlinear anomalous Hall effect ...
Zhenning Sun +5 more
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Advanced Science, EarlyView.A quantum kernel‐aligned regressor (QKAR) is developed for modeling Ohmic contact formation in GaN HEMT fabrication. Leveraging experimental data and a Pauli‐Z feature map enhanced with a quantum kernel alignment (QKA) layer, the model achieves superior predictive performance over classical methods.
Zeheng Wang +7 more
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Inequalities for Certain Eigenvalues of a Membrane of Given Area [PDF]
, 1954 Gábor Szegő
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Upper bounds for eigenvalues of a nonlinear eigenvalue problem
Journal of Mathematical Analysis and Applications, 1978 with compact, positive definite operators A, B in a complex separable Hilbert space. Turner [ll, 121 has studied this problem (see also Weinberger [13], Eisenfeld [4], W erner [14], Langer [S]). He describes the spectrum and obtains variational principles for the eigenvalues; furthermore he gives some estimates and bounds for the eigenvalues.
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Realization of Spin‐locked Acoustic Helical Landau Levels in both Hexagonal and Square Lattices
Advanced Science, EarlyView.Acoustic helical Landau levels rooted in quantum spin Hall systems are achieved by linearly increasing the local bandgap through the lifting of the double Dirac cone in acoustic crystals. Large‐area conveyance of acoustic energy facilitated by these helical Landau levels is demonstrated.
Yafeng Chen +5 more
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