Results 71 to 80 of about 705,175 (281)

Approximation on the Quadratic Reciprocal Functional Equation

Journal of Function Spaces, 2014
The quadratic reciprocal functional equation is introduced. The Ulam stability problem for an ϵ-quadratic reciprocal mapping f:X→Y between nonzero real numbers is solved.
Abasalt Bodaghi, Sang Og Kim
doaj   +1 more source

Some Criteria for Class Numbers to Be Non-One

Journal of Mathematics, 2020
Let d be a positive integer which is not a perfect square and n be any nonzero fixed integer. Then, the equation x2−dy2=n is known as the general Pell equation. In this paper, we give some criteria for class numbers of certain real quadratic fields to be
Ahmad Issa, Hasan Sankari
doaj   +1 more source

Thermo‐Mechanically Recyclable Smart Textiles from Circularly Knitted Liquid Crystal Elastomer Fibers

Advanced Functional Materials, EarlyView.
Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan, Tongxiang Deng, Linda Plaude, Bo Gao, Siyao Chen, Fabien Sorin, Kaspar M. B. Jansen, Kun Zhou, Albert P. H. J. Schenning   +8 more
wiley   +1 more source

On the Stability of Quadratic Functional Equations in F-Spaces

Journal of Function Spaces, 2016
The Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved.
Xiuzhong Yang
doaj   +1 more source

Stochastic HJB Equations and Regular Singular Points [PDF]

, 2018
IIn this paper we show that some HJB equations arising from both finite and infinite horizon stochastic optimal control problems have a regular singular point at the origin. This makes them amenable to solution by power series techniques.
Krener, Arthur J.
core   +1 more source

Halide‐Dependent Photoluminescence and Heavy‐Atom Effects in Low‐Melting Organic–Inorganic Manganese Halides

Advanced Functional Materials, EarlyView.
Two pyridinium‐based ionic liquid templated hybrid manganese halides, (C4Py)2[MnCl4] and (C4Py)2[MnBr4], display similar bulk structures but show significantly different photoluminescence behaviors due to the bromine heavy‐atom effect. Their stable local Mn environments remain intact even in the molten state, allowing applications such as luminescence ...
Biswajit Bhattacharyya, Christian Balischewski, Jiyong Kim, Tiago Duarte, Lianshe Fu, Rute A.S. Ferreira, Alkit Beqiraj, Iuliia Mikulska, Diego Gianolio, Eric Sperlich, Felix Stete, Wouter Koopman, Christina Günter, Katlen Brennenstuhl, Daniel Van Opdenbosch, Cordt Zollfrank, Armin Wedel, Beth J. Murray, Małgorzata Swadźba‐Kwaśny, Tillmann Klamroth, Michael U. Kumke, Verónica de Zea Bermudez, Andreas Taubert   +22 more
wiley   +1 more source

Inducing Ferromagnetism by Structural Engineering in a Strongly Spin‐Orbit Coupled Oxide

Advanced Functional Materials, EarlyView.
ABSTRACT Magnetic materials with strong spin‐orbit coupling (SOC) are essential for the advancement of spin‐orbitronic devices, as they enable efficient spin‐charge conversion, complex magnetic structures, spin‐valley physics, topological phases and other exotic phenomena.
Ji Soo Lim, Carmine Autieri, Merit Spring, Martin Kamp, Amar Fakhredine, Pavel Potapov, Daniel Wolf, Sergii Pylypenko, Axel Lubk, Johannes Schultz, Nicolas Perez, Börge Mehlhorn, Louis Veyrat, Mario Cuoco, Fadi Choueikan, Philippe Ohresser, Bernd Büchner, Giorgio Sangiovanni, Ralph Claessen, Michael Sing   +19 more
wiley   +1 more source

Analysis of students' errors in solving quadratic equation word problems based on Watson's criteria

Journal Focus Action of Research Mathematic
This research is motivated by the phenomenon of low student ability in solving word problems in mathematics, indicating significant challenges in understanding and applying mathematical concepts in real-life contexts. The aim of this study is to describe
Azin Taufik, Anggar Titis Prayitno, Tika Nuanatul Mufida   +2 more
doaj   +1 more source

Generalized Stability of Euler-Lagrange Quadratic Functional Equation

Abstract and Applied Analysis, 2012
The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
doaj   +1 more source

Understanding the Effects of Conductive Polymer Electrode Coating on Recorded Neural Signals

Advanced Healthcare Materials, EarlyView.
Conductive polymer coatings are widely explored to improve the quality of signals recorded with chronically implanted neural electrodes, offering enhanced biocompatibility along with reduced electrode impedance. Combining computational modelling and data from PEDOT:PTS coated and PtIr electrodes in rats, we show that improvements in signal quality with
Karthik Sridhar, Judith Evers, Alexandre Trotier, Manus Biggs, Madeleine M. Lowery   +4 more
wiley   +1 more source