Results 51 to 60 of about 427,912 (276)
Upper bounds for the Euclidean distances between the BLUPs
Special Matrices, 2018 In this article we consider the general linear model {y, X ß, V} where y is the observable random vector with expectation X ß and covariance matrix V. Our interest is on predicting the unobservable random vector y* which comes from y* = X* ß + ƹ* where ...
Markiewicz Augustyn, Puntanen Simo
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Euclidean operator growth and quantum chaos
Physical Review Research, 2020 We consider growth of local operators under Euclidean time evolution in lattice systems with local interactions. We derive rigorous bounds on the operator norm growth and then proceed to establish an analog of the Lieb-Robinson bound for the spatial ...
Alexander Avdoshkin, Anatoly Dymarsky
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A quadratic field which is Euclidean but not norm-Euclidean
Manuscripta Mathematica, 1994 The author uses earlier methods of \textit{E. S. Barnes} and \textit{H. P. F. Swinnerton-Dyer} [Acta Math. 87, 259-323 (1952; Zbl 0046.276)] to prove with the help of a computer that the ring \(\mathbb{Z}[ {{1+ \sqrt {69}} \over 2}]\) is Euclidean. This is the first example of a quadratic number field shown to be Euclidean but not norm-Euclidean.
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Organic Materials of Tomorrow: Horizons of Artificial Intelligence
Advanced Materials, EarlyView.This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
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On some properties of k-circulant matrices with the generalized Pell-Padovan numbers
Journal of Innovative Applied Mathematics and Computational SciencesIn this paper, we investigate the properties of the $k$-circulant matrix generated by the generalized Pell--Padovan numbers. We derive explicit formulas for the sum of entries, the maximum column sum norm ($\Vert \cdot \Vert _{1}$), the maximum row sum ...
Yüksel Soykan, Erkan Taşdemir
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On submultiplicative constants of an algebra
Journal of Inequalities and Applications, 2019 If A $\mathcal{A}$ is a finite-dimensional commutative associative real algebra with norm ∥⋅∥ $\| \cdot\|$ then we say that the rth submultiplicative constant of A $\mathcal{A}$ is the smallest constant mr(A) $m_{r}(\mathcal{A})$ for which ∥x1x2⋯xr∥≤mr(A)
James S. Cook, Khang V. Nguyen
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Advanced Materials, EarlyView.Self‐invalidating multilayer physical unclonable functions (PUFs) integrate fingerprint‐like metal nanopattern bilayers from block copolymer templates with highly reactive reduced graphene oxide (rGO) interlayers. This tamper‐responsive architecture blocks all unauthorized physical and chemical replication attempts while autonomously deactivating ...
Gyu Hui Jo +7 more
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An application of stress energy tensor to the vanishing theorem of differential forms
International Journal of Mathematics and Mathematical Sciences, 1988 The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic ...
Kairen Cai
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Advanced Materials Interfaces, EarlyView.Thin SiGe buffer layers are grown by oxidative solid‐phase epitaxy, resulting in a nanopatterning of varying Ge concentration across the surface of the sample. The nanopatterning is caused by a hexagonal network of dislocations on the SiGe/Si(111) interface, and is visible by scanning electron microscopy, providing a non‐destructive method for ...
Sophie E. Bierer +7 more
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Advanced Materials Technologies, EarlyView.High‐aspect‐ratio low‐melting‐point alloy inclusions are embedded within multilayer silicone laminates to create thermally programmable stiffness. Sequential activation of alloy‐rich layers produces four distinct mechanical states and reconfigures tendon‐driven actuator trajectories under the same load.
Palpolage Don Shehan Hiroshan Gunawardane +4 more
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