Results 71 to 80 of about 24,345 (312)
Borel Vizing’s theorem for graphs of subexponential growth
Proceedings of the American Mathematical SocietyWe show that every Borel graph G G of subexponential growth has a Borel proper edge-coloring with Δ ( G ) + 1 \Delta (G) + 1 colors. We deduce this from a stronger result, namely that an n n -vertex (finite) graph G G of subexponential ...
Bernshteyn, Anton, Dhawan, Abhishek
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Growth Theorems for a Subclass of Strongly Spirallike Functions [PDF]
Journal of Applied Mathematics, 2014 In this paper we consider a subclass of strongly spirallike functions on the unit diskDin the complex planeC, namely, strongly almost spirallike functions of typeβand orderα. We obtain the growth results for strongly almost spirallike functions of typeβand orderαon the unit diskDinCby using subordination principles and the geometric properties of ...
Cui, Yan-Yan +2 more
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Designing High Performance Organic Donor Molecules for Photovoltaics
Advanced Theory and Simulations, EarlyView.Systematically tuning the fusion pattern and length of the π$\pi$‐bridge, along with adjusting the electron‐withdrawing (EW) strength of the terminal groups in small‐molecule donor A-π-Core-π$\text{A-}\pi \text{-Core-}\pi$‐A architectures, enables predictable modulation of the system's opto‐electronic properties.
Fabian Bauch +2 more
wiley +1 more source
A Clarification on Quantum‐Metric‐Induced Nonlinear Transport
Advanced Science, EarlyView.How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang +4 more
wiley +1 more source
A Voronovskaya-type theorem for a positive linear operator
International Journal of Mathematics and Mathematical Sciences, 2006 We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity.
Alexandra Ciupa
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Uniqueness Theorems for Harmonic Functions of Exponential Growth [PDF]
Proceedings of the American Mathematical Society, 1976 Two uniqueness theorems for harmonic functions of exponential growth are proved. The first is a generalization to R n {R^n} of a theorem proved by Boas [1] for R 2 {R^2} .
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Wave‐Partition‐Governed Dual‐Site Spallation in Single Crystals
Advanced Science, EarlyView.Crystalline anisotropy shapes shock‐wave propagation and the resulting damage evolution in single crystals. Large‐scale molecular dynamics and damage modeling uncover a dual‐spallation mechanism driven by anisotropic elasticplastic wave separation, which mitigates damage accumulation.
Youlin Zhu +6 more
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Schrödinger-Poisson system without growth and the Ambrosetti-Rabinowitz conditions
AIMS Mathematics, 2020 We consider the following Schrödinger-Poisson system $$\left\{ \begin{array}{l}{\rm{ - }}\Delta u + V\left(x \right)u + \phi u = \lambda f\left(u \right)\; \; \; \; \; {\rm{in}}\; {\mathbb{R}^3}, \\ - \Delta \phi = {u^2}, \mathop {\lim }\limits_{|x| \to +
Chen Huang, Gao Jia
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Sampling Theorem for Entire Functions of Exponential Growth
Journal of Mathematical Analysis and Applications, 2002 A generalization of Shannon's sampling theorem is obtained for entire functions satisfying \(|F(z)|\leq C\exp\{L|z|^{1/s}+a|\text{ Im}(z)|\}\), where \(C, L, a\), and \(s\) are constants and \(s>1\).
Chung, Jaeyoung +2 more
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Imperfection in Semiconductors Leading to High Performance Devices
Advanced Science, EarlyView.Crystalline perfection is typically pursued in semiconductors to enhance device performance. However, through modeling and experimental work, we show that defects can be strategically employed in a specific detection regime to increase sensitivity to extreme values. GaN diodes are demonstrated to effectively detect high‐energy proton beams at fluxes as
Jean‐Yves Duboz +8 more
wiley +1 more source