Results 91 to 100 of about 713,237 (306)

On polynomial identities of Jordan pairs of rectangular matrices

, 1997
It is proved that Jordan pairs P(n, m) = (Mn, m, Mm, n) of n × m matrices over a field k are distinguished up to embedding by means of polynomial identities.
Iltyakov, A.V.
core   +1 more source

Lê numbers of arrangements and matroid identities [PDF]

, 1997
We present several new polynomial identities associated with matroids and geometric lattices and relate them to formulas for the characteristic polynomial and the Tutte polynomial.
Massey, David B, Ziegler, Günter M, Stanley, Richard P, Vertigan, Dirk, Welsh, Dominic J.A, Simion, Rodica   +5 more
core   +1 more source

Wearable Smart Patches on Sustainable Chitosan With Reversible Microbial Growth‐Inhibitory Properties

Advanced Functional Materials, EarlyView.
ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti, Kubra Kocak, Andrea Michel, Enrico Cavarzerani, Ali Raza, Petr Rohzin, Nouha Loudhaief, Saimir Frroku, Nicolò Baldovin, Hazrat Bilal, Alvise Perosa, Maurizio Selva, Flavio Rizzolio, Luca Sbuelz, Sabrina Tamburini, Domenico De Fazio, Giovanni Antonio Salvatore   +16 more
wiley   +1 more source

Majorization Inequalities via Peano's Representation of Hermite's Polynomial

International Journal of Analysis and Applications, 2018
The Peano's representation of Hermite polynomial and new Green functions are used to construct the identities related to the generalization of majorization type inequalities in discrete as well as continuous case.
N. Latif, N. Siddique, J. Pecaric
doaj   +2 more sources

Melanin's Role in Balancing Mechanical Strength and Reproductive Output in Environmentally Stressed Fungal Spores

Advanced Functional Materials, EarlyView.
Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley   +1 more source

Hopf algebras and polynomial identities

, 2010
International audienceThis is a survey of results obtained jointly with E. Aljadeff and published in Adv. Math. 218 (2008), 1453-1495. We explain how to set up a theory of polynomial identities for comodule algebras over a Hopf algebra, and concentrate ...
Kassel, Christian
core   +1 more source

Fermatian row and column sums as a family of generalized integers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon, Mine Uysal, Engin Özkan   +2 more
doaj   +1 more source

Sacrificial‐Layer‐Assisted Heat‐Affected‐Zone Suppression in Laser Patterning of PET for High‐Performance Flexible Devices

Advanced Functional Materials, EarlyView.
A removable sacrificial polymer layer engineers the thermal boundary condition during nanosecond laser ablation of PET, suppressing heat‐affected‐zone formation without relying on costly ultrafast lasers. This strategy enables deep, high‐aspect‐ratio trenches with no detectable heat‐affected zone, templating silver‐filled mesh electrodes with record ...
Mehdi Zarei, Mirza Sahaluddin, Mostafa Bedewy, Paul W. Leu   +3 more
wiley   +1 more source

Tridiagonal matrices representations of generalized bivariate complex polynomials

Journal of Innovative Applied Mathematics and Computational Sciences
This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
doaj   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

International Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona   +2 more
doaj   +1 more source