Results 71 to 80 of about 101,413 (261)

Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings

International Journal of Mathematics and Mathematical Sciences, 2015
Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn].
Ali H. Hakami
doaj   +1 more source

Topological properties of fractals via M-polynomial

Arabian Journal of Mathematics
AbstractSierpiński graphs are frequently related to fractals, and fractals apply in several fields of science, i.e., in chemical graph theory, computer networking, biology, and physical sciences. Functions and polynomials are powerful tools in computer mathematics for predicting the features of networks.
Ishfaq, Faiza, Nadeem, Muhammad Faisal
openaire   +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

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

Positive Semi-Definite and Sum of Squares Biquadratic Polynomials

Mathematics
Hilbert proved in 1888 that a positive semi-definite (PSD) homogeneous quartic polynomial of three variables always can be expressed as the sum of squares (SOS) of three quadratic polynomials, and a psd homogeneous quartic polynomial of four variables ...
Chunfeng Cui, Liqun Qi, Yi Xu
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

Drop‐on‐Demand Printed Negative Dielectric Anisotropy Liquid Crystal Droplets for Adaptive Complex Beam Manipulation and Assessment

Advanced Functional Materials, EarlyView.
Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo, Xuke Qiu, Runchen Zhang, Qihao Han, Liangyu Deng, Yishun Lu, Zimo Zhao, Mengmeng Li, Waqas Kamal, Junseok Ma, Yongge Ma, Steve J. Elston, Alfonso A. Castrejón‐Pita, Stephen M. Morris, Chao He   +14 more
wiley   +1 more source

Defect‐Mediated Inelastic Light Scattering by Infrared Phonons in Hexagonal Boron Nitride

Advanced Functional Materials, EarlyView.
Optically active defects in hexagonal boron nitride enable inelastic stimulated light scattering mediated by infrared‐active phonons, relaxing conventional Raman selection rules. Defect engineering enhances the Stokes‐conversion process and activates both TO‐ and LO‐phonon scattering channels.
Prabhdeep Singh, Bharti Garg, Maximilian Black, Masoud Taleb, Nahid Talebi   +4 more
wiley   +1 more source

Algorithms for Scheduling Problems with Rejection

Tsinghua Science and Technology
We study scheduling problems with rejection on parallel-machine. Each job consists of a processing time, a rejection cost, and a release date. The goal is to minimize the makespan of the jobs accepted when the total rejection cost is not larger than a ...
Quanchang Zheng, Fanyu Kong, Jianfeng Ren, Yuzhong Zhang   +3 more
doaj   +1 more source

Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films

Advanced Functional Materials, EarlyView.
We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra, Aiden Ross, Brynn Brower, Tobias Schwaigert, Ian Reed Philippi, Albert Suceava, Himirkanti Sarkar, Muhammed Aminul Haque Chowdhury, Suchismita Sarker, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +11 more
wiley   +1 more source