Results 101 to 110 of about 834,250 (307)
A variant of the reciprocal super Catalan matrix
Special Matrices, 2015 Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented.
Kılıç Emrah +2 more
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Matrix methods in decompositions of modules
Linear Algebra and its Applications, 1980 AbstractMatrix methods of elementary linear algebra are extended to general direct-sum decompositions of modules. These methods are then shown to yield simple proofs of some well-known theorems, notably the Beck-Warfield “mutual exchange property” and the Krull-Schmidt theorem.
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Internal Temperature Evolution Metrology and Analytics in Li‐Ion Cells
Advanced Functional Materials, EarlyView.This study investigates the non‐linear evolution of internal temperatures across diverse operating conditions, highlighting the disparities between internal and external measurements and the resulting thermal asymmetries. The coupled thermo‐electrochemical modeling framework provides a comprehensive analysis of various heat generation modes, examining ...
Anuththara S. J. Alujjage +5 more
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Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.This study reveals that higher shell S coordination can effectively modulate the spin state of FeN4 site via long‐range electronic interactions, giving rise to the oriented generation of singlet oxygen from peroxymonosulfate activation. Abstract Precise manipulation of coordination structure of single‐atom sites and establishment of schematic ...
Liang Zhang +8 more
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Multi‐view registration based on weighted LRS matrix decomposition of motions
IET Computer Vision, 2019 Recently, the low‐rank and sparse (LRS) matrix decomposition has been introduced as an effective mean to solve the multi‐view registration. It views each available relative motion as a block element to reconstruct one sparse matrix, which then is used to
Congcong Jin +5 more
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Sparse matrix decompositions and graph characterizations
Linear Algebra and its Applications, 2012 The question of when zeros (i.e., sparsity) in a positive definite matrix $A$ are preserved in its Cholesky decomposition, and vice versa, was addressed by Paulsen et al. in the Journal of Functional Analysis (85, pp151-178). In particular, they prove that for the pattern of zeros in $A$ to be retained in the Cholesky decomposition of $A$, the pattern ...
Kshitij Khare, Bala Rajaratnam
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Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.By fabricating and covalently assembling gelatin methacryloyl (GelMA) porous microgels, a new class of granular hydrogel scaffolds with hierarchical porosity is developed. These scaffolds have a significantly higher void fraction than their counterparts made up of nonporous microgels, enhancing cell recruitment and tissue integration. This research may
Alexander Kedzierski +9 more
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Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5] [PDF]
, 1969 Peter A. Businger, Gene H. Golub
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The Emerging 4D Printing of Shape‐Memory Thermomorphs for Self‐Adaptative Biomedical Implants
Advanced Functional Materials, EarlyView.4D printing enables the creation of smart implants that adapt to changing conditions in the human body over time. At the core of this technology are shape‐memory thermomorphs (SMTMs). This review offers an in‐depth analysis of 4D printing with SMTMs, emphasizing the latest advancements in smart materials, stimuli, programming principles, and their ...
Aixiang Ding, Fang Tang, Eben Alsberg
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Matrix applications of a quadratic identity for decomposable symmetrized tensors [PDF]
, 1965 Marvin Marcus
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