Results 101 to 110 of about 2,610,164 (335)
Polynomial sequences generated by infinite Hessenberg matrices
Special Matrices, 2017 We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
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Advanced Functional Materials, EarlyView.A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian +6 more
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Singular matrices possessing the triangle property
Special MatricesIt is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
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Advanced Functional Materials, EarlyView.A visible light‐responsive polyacrylamide‐azobenzene hydrogel enables safe, reversible stiffness control for studying cell mechanobiology without harmful UV exposure. This approach reveals stem cells respond rapidly to mechanical changes, showing altered shape and protein distribution within one hour.
Aafreen Ansari +11 more
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Invertible and regular completions of operator matrices
, 2015 In this paper, for given operators A â B(X) and B â B(Y), the set of all C â B(Y,X) such that the operator matrix M_C = \left[ \begin{array}{cc} A & C \\ O & B \end{array} \right] is injective, invertible, left invertible and right invertible, is ...
D. Cvetković-Ilić
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Advanced Functional Materials, EarlyView.This study presents a novel donor‐bridge‐acceptor‐bridge‐donor (D‐B‐A‐B‐D) molecular system, which shows near‐unity intramolecular excitation energy transfer (IET) from two identical energy donors to a coplanar acceptor. It enables a four‐level energy system for efficient lasing at the acceptor emission band in a microspherical cavity with a low lasing
Vishal Kumar +6 more
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International Journal of Mathematics and Mathematical Sciences, 2012 Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR = {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2, over R} is the solvable subalgebra of Cl+1(R).
Xing Tao Wang, Lei Zhang
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Machine Learning‐Enabled Polymer Discovery for Enhanced Pulmonary siRNA Delivery
Advanced Functional Materials, EarlyView.This study provides an efficient approach to train a machine learning model by merging heterogeneous literature data to predict suitable polymers for siRNA delivery. Without the need for extensive laboratory synthesis, the machine learning enabled a virtual screening and successfully predicted a polymer that is validated for effective gene silencing in
Felix Sieber‐Schäfer +10 more
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Advanced Functional Materials, EarlyView.This work addresses the challenge of current–voltage asymmetry in scalable laminated semitransparent organic photovoltaics (OPVs) for indoor applications. Vertical stratification of materials is shown to create an energy barrier, leading to performance differences under different illumination directions.
Gulzada Beket +15 more
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