Results 101 to 110 of about 229,197 (336)
A general product of tensors with applications [PDF]
arXiv, 2012 We define a general product of two $n$-dimensional tensors $\mathbb {A}$ and $\mathbb {B}$ with orders $m\ge 2$ and $k\ge 1$, respectively. This product is a generalization of the usual matrix product, and satisfies the associative law. Using this product, many concepts and known results of tensors can be simply expressed and/or proved, and a number of
arxiv
Advanced Engineering Materials, EarlyView.A metallic implant's higher stiffness compared to the surrounding bone leads to stress shielding problems, causing bone density reduction and bone growth interference in pediatric patients. 3D‐printed triply periodic minimal surface structures present a promising engineering solution.
Ali Ebrahimzadeh Dehaghani +4 more
wiley +1 more source
Cohomology of twisted tensor products
Journal of Algebra, 2008 10 ...
Petter Andreas Bergh, Steffen Oppermann
openaire +3 more sources
Advanced Engineering Materials, EarlyView.In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia +2 more
wiley +1 more source
Nakayama automorphisms of twisted tensor products [PDF]
arXiv, 2017 In this paper, we study homological properties of twisted tensor products of connected graded algebras. We focus on the Ext-algebras of twisted tensor products with a certain form of twisting maps firstly. We show those Ext-algebras are also twisted tensor products, and depict the twisting maps for such Ext-algebras in-depth.
arxiv
Digital Methods for the Fatigue Assessment of Engineering Steels
Advanced Engineering Materials, EarlyView.The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener +7 more
wiley +1 more source
Regression in tensor product spaces by the method of sieves. [PDF]
Electron J Stat, 2023 Zhang T, Simon N.
europepmc +1 more source
TENSOR PRODUCTS OF STEINBERG ALGEBRAS [PDF]
Journal of the Australian Mathematical Society, 2019 AbstractWe prove that$A_{R}(G)\otimes _{R}A_{R}(H)\cong A_{R}(G\times H)$if$G$and$H$are Hausdorff ample groupoids. As part of the proof, we give a new universal property of Steinberg algebras. We then consider the isomorphism problem for tensor products of Leavitt algebras, and show that no diagonal-preserving isomorphism exists between$L_{2,R}\otimes ...
openaire +4 more sources
Advanced Engineering Materials, EarlyView.The study presents an efficient simulation approach for the polymer laser powder bed fusion process polymers process, validated with polyamide 12, polyamide 6, and polyetherketoneketone. It shows that inter layer time affects part density, with 90s yielding dense parts.
Claas Bierwisch +4 more
wiley +1 more source