Results 71 to 80 of about 790 (217)

Waring problem for triangular matrix algebra

Linear Algebra and its Applications
The Matrix Waring problem is if we can write every matrix as a sum of $k$-th powers. Here, we look at the same problem for triangular matrix algebra $T_n(\mathbb{F}_q)$ consisting of upper triangular matrices over a finite field. We prove that for all integers $k, n \geq 1$, there exists a constant $\mathcal C(k, n)$, such that for all $q> \mathcal ...
Kaushik, Rahul, Singh, Anupam
openaire   +3 more sources

Nanoengineered Binetworks in Multifunctional Anionic Block Polymer Mesoblends for Improved Mechanical Properties

Advanced Functional Materials, EarlyView.
Mesoblends consist of a nanostructured polymer into which a second polymer is imbibed with a selective solvent. In this work, a solvent‐templatable pentablock terpolymer possessing a sulfonated midblock is modified with a hydrophilic polymer that is photocrosslinked in situ, yielding a hierarchical binetwork.
Kacie M. Wells, Ivan Kuzmenko, Reza A. Ghiladi, Richard J. Spontak   +3 more
wiley   +1 more source

Ultrasmall High‐Entropy Materials: Nanoscale Effects, Synthesis, and Mechanistic Insights

Advanced Functional Materials, EarlyView.
This review article focuses on sub‐10 nm high‐entropy materials that combine nanoscale design with complex compositions for next‐generation applications. ABSTRACT Ultrasmall high‐entropy nanomaterials (USHENMs, <10 nm) merge multicomponent chemistry with size‐dependent effects, forming a distinct class of materials with unprecedented properties.
Yueyue He, Wenbo Wang, Simon Schweidler, Yanjiao Ma, Ben Breitung, Torsten Brezesinski   +5 more
wiley   +1 more source

Evaluation on the equivalence between the backward/forward iterative sweep and the triangular-based power flow methods in electrical distribution networks

Revista UIS Ingenierías
This paper demonstrates that graph-based power flow methods for strictly radial distribution networks (one based on the upper-triangular matrix and the other on the incidence matrix or classical backward/forward power flow method) are equivalent ...
Oscar Danilo Montoya-Giraldo, Walter Gil-González, Edwin Rivas-Trujillo   +2 more
doaj   +1 more source

Coaxially Electrospun Myocardial dECM‐ Based Nanofibrous Scaffolds Demonstrate Enhanced Cardiomyocyte Biocompatibility

Advanced Healthcare Materials, EarlyView.
Our coaxial electrospinning system is capable of incorporating decellularized myocardial extracellular matrix in a core‐sheath configuration, creating nanofibrous scaffolds. These scaffolds, in turn, support the maintenance of functional cardiomyocytes adhered to the surface of these bioactive scaffolds.
Dhanusha N. Rajapakse, Mahtab Khodadadi, Kiran M. Ali, Suh Hee Cook, Bryson T. Proctor, Tanya Upadhyay, Daxian Zha, Fatema Tuj Jahura, Marziyeh Boosaliki, Jessica M. Gluck   +9 more
wiley   +1 more source

Hybrid of check matrix construction algorithm based on iteration coding algorithm

Dianzi Jishu Yingyong, 2018
In order to ensure the reliability, stability and high transmission rate of fifth-generation mobile communication technology(5G), this paper proposes a hybrid check matrix construction algorithm based on iterative coding algorithm with linear coding ...
Meng Jiahui, Zhao Danfeng, Zhang Liang
doaj   +1 more source

3D‐Printed Piezoionic/Bioelectronic Hydrogel for Electro‐Metabolic Regulation of Osteogenic Differentiation

Advanced Healthcare Materials, EarlyView.
A 3D‐printed piezoionic GPMx hydrogel enables stable electromechanical signal generation under mechanical loading, exhibiting long‐term durability and low fatigue. As a bioactive patch, it restores endogenous bioelectricity to stimulate osteogenesis via Ca2+ influx and mitochondrial activation, while simultaneously enabling label‐free alkaline ...
Sayan Deb Dutta, Myoung Joon Jeon, Youjin Seol, Ki‐Taek Lim   +3 more
wiley   +1 more source

A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences

Communications in Advanced Mathematical Sciences, 2021
In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Mehmet Akif Bayrakdar, Merve İlkhan
doaj  

Microgel‐Based 3D Bioprinting: A Convergent Strategy Integrating Material Design, Jamming Dynamics, and Biological Function

Advanced Healthcare Materials, EarlyView.
Microgel‐based 3D printed constructs represent a compelling and versatile innovation for engineering architecturally complex, dynamically remodelable, and biocompatible structures with high structural fidelity and bioactivity. By integrating material design, biofabrication, and biological function, these systems enable the development of adaptive ...
Elena Ghighină, Andreea Ioana Dinu, Jana Ghițman   +2 more
wiley   +1 more source

Linear and Riccati matrix equations

International Journal of Mathematics and Mathematical Sciences, 1989
In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients.
Lloyd K. Williams
doaj   +1 more source