Results 131 to 140 of about 439,454 (357)
Stability of the quadratic functional equation in Lipschitz spaces
Journal of Mathematical Analysis and Applications, 2004 AbstractLet G be an Abelian group with a metric d and E a normed space. For any f:G→E we define the quadratic difference of the function f by the formula Qf(x,y):=2f(x)+2f(y)−f(x+y)−f(x−y) for x,y∈G. Under some assumptions about f and Qf we prove that if Qf is Lipschitz, then there exists a quadratic function K:G→E such that f−K is Lipschitz. Moreover,
S. Czerwik, K. Dłutek
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Particle‐Assisted Optoelectronic Tweezers for Manipulating Single Cells and Microparticles
Advanced Science, EarlyView.This work introduces a particle‐assisted optoelectronic tweezers (OET) technique that uses Ag‐SiO2 microparticles as intermediaries to manipulate cells and microparticles via particle‐induced dielectrophoresis. The method extends the OET manipulation range while reducing cell damage.
Ao Wang +13 more
wiley +1 more source
Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj
Facilitating crRNA Design by Integrating DNA Interaction Features of CRISPR‐Cas12a System
Advanced Science, EarlyView.This study introduces a novel approach combining molecular dynamics simulations and neural network modeling to predict the Cas12a trans‐cleavage activity. By integrating sequence and molecular interaction features, prediction accuracy is enhanced, and identify key features affecting Cas12a trans‐cleavage activity.
Zhihao Yao +7 more
wiley +1 more source
HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC TYPE FUNCTIONAL EQUATION [PDF]
, 2003 Sang-Han Lee, Kil-Woung Jun
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On the stability of an alternative quadratic functional equation [PDF]
Mathematical Inequalities & Applications, 2014 We will investigate the stability of the alternative quadratic functional equation f (x+ y)+ f (x− y)+2 f (x)+2 f (y) = 0 ⇒ f (x+ y)+ f (x− y) = 2 f (x)+2 f (y). Mathematics subject classification (2010): 39B52, 39B82.
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Reconstructing Three‐Dimensional Optical Anisotropy with Tomographic Müller‐Polarimetric Microscopy
Advanced Science, EarlyView.Tomographic Müller polarimetric microscopy is a novel imaging technique that resolves 3D birefringent properties of bulky samples, unveiling hierarchical nanostructures at microscopic resolution. Based on incoherent visible‐light polarimetry, it achieves experimental simplicity by eliminating phase measurements.
Yang Chen +4 more
wiley +1 more source
Quadratic $\rho$-functional inequalities and equations
Journal of Nonlinear Analysis and Application, 2014 In this paper, we solve the quadratic $\rho$-functional inequalities where $\rho$ is a fixed complex number with $|\rho| where $\rho$ is a fixed complex number with $|\rho|< \frac{1}{2}$. Furthermore, we prove the Hyers-Ulam stability of the quadratic $\rho$-functional inequalities (0.1) and (0.2) in complex Banach spaces and prove the Hyers-Ulam ...
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Advanced Science, EarlyView.This study, for the first time, highlights the marvelous effect of mechanical vibration on the performance of lithium metal batteries. The authors demonstrate that vibration enhances the performance of lithium metal anodes through a synergistic effect: surface flattening at the macroscale and the formation of an interfacial layer that facilitates fast ...
Taeksoo Jung +6 more
wiley +1 more source
On Hyers-Ulam-Rassias stability of a quadratic functional equation [PDF]
, 2003 Ick-Soon Chang +2 more
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