Results 71 to 80 of about 446,471 (361)

Inner product spaces and quadratic functional equations

open access: yesAdvances in Difference Equations, 2021
In this paper, we introduce the functional equations f ( 2 x − y ) + f ( x + 2 y ) = 5 [ f ( x ) + f ( y ) ] , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + 4 f ( y ) + f ( − y ) , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + f ( 2 y ) + f ( − y ) , f ( 2 x
Jae-Hyeong Bae   +3 more
doaj   +1 more source

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

open access: yesAdvanced Functional Materials, EarlyView.
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp   +7 more
wiley   +1 more source

Fuzzy Stability of a General Quadratic Functional Equation

open access: yesAdvances in Fuzzy Systems, 2011
We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧)+𝑓(𝑥−𝑦)+𝑓(𝑥−𝑧)−𝑓(𝑥−𝑦−𝑧)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)=0 in the sense of M. Mirmostafaee and M. S. Moslehian.
Sun Sook Jin, Yang-Hi Lee
doaj   +1 more source

Renormalization of gauge theories without cohomology

open access: yes, 2013
We investigate the renormalization of gauge theories without assuming cohomological properties. We define a renormalization algorithm that preserves the Batalin-Vilkovisky master equation at each step and automatically extends the classical action till ...
Anselmi, Damiano
core   +1 more source

Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States

open access: yesAdvanced Functional Materials, EarlyView.
This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu   +3 more
wiley   +1 more source

The general solution of a quadratic functional equation and Ulam stability

open access: yes, 2015
In this paper, we investigate the general solution of a new quadratic functional equation. We prove that a function admits, in appropriate conditions, a unique quadratic mapping satisfying the corresponding functional equation.
Yaoyao Lan, Yonghong Shen
semanticscholar   +1 more source

Artificial Intelligence‐Driven Development in Rechargeable Battery Materials: Progress, Challenges, and Future Perspectives

open access: yesAdvanced Functional Materials, EarlyView.
AI is transforming the research paradigm of battery materials and reshaping the entire landscape of battery technology. This comprehensive review summarizes the cutting‐edge applications of AI in the advancement of battery materials, underscores the critical challenges faced in harnessing the full potential of AI, and proposes strategic guidance for ...
Qingyun Hu   +5 more
wiley   +1 more source

Stability of the quadratic functional equation in Lipschitz spaces

open access: yesJournal of Mathematical Analysis and Applications, 2004
The stability of the quadratic functional equation is dealt with. Invariant means are used to obtain the main results . Let \(E\) be a (real) vector space and let~\(G\) be an Abelian group. By the quadratic difference of a~function \(f:G\to E\) we mean the map \[ Qf(x,y):=2f(x)+2f(y)-f(x+y)-f(x-y),\quad x,y\in G.
S. Czerwik, K. Dłutek
openaire   +3 more sources

On Fourier time-splitting methods for nonlinear Schrodinger equations in the semi-classical limit II. Analytic regularity

open access: yes, 2016
We consider the time discretization based on Lie-Trotter splitting, for the nonlinear Schrodinger equation, in the semi-classical limit, with initial data under the form of WKB states.
Carles, Rémi, Gallo, Clément
core   +1 more source

3D Concrete Printing of Triply Periodic Minimum Surfaces for Enhanced Carbon Capture and Storage

open access: yesAdvanced Functional Materials, EarlyView.
A 3D‐printable and carbon‐capturing concrete is developed by replacing cement with diatomaceous earth (DE), which enhances rheology, provides hierarchical porosity, and serves as a nucleation site for carbonation. Maximum absorption of 488.7 gCO2 kgcement−1 is achieved in 7 days, a 142% increase over conventional concrete, and the triply periodic ...
Kun‐Hao Yu   +9 more
wiley   +1 more source

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