Results 1 to 10 of about 4,004,008 (323)

Uniform continuity bound for sandwiched Rényi conditional entropy [PDF]

Journal of Mathematics and Physics, 2022
We prove a simple uniform continuity bound for the sandwiched Rényi conditional entropy for α ∈ [1/2, 1) ∪ (1, ∞], which is independent of the dimension of the conditioning system.
A. Marwah, F. Dupuis
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Uniform Bound of the Highest-Order Energy of the 2D Incompressible Elastodynamics [PDF]

SIAM Journal on Mathematical Analysis, 2020
This paper concerns the time growth of the highest-order energy of the systems of incompressible isotropic elastodynamics in two space dimensions. The global well-posedness of smooth solutions near equilibrium was first obtained by Lei [31] where the ...
Yuan Cai
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Goldbach partitions and norms of cusp forms

Journal of Numerical Analysis and Approximation Theory, 2019
An integral formula for the Goldbach partitions requires uniform convergence of a complex exponential sum. The dependence of the coefficients of the series is found to be bounded by that of cusp forms.
Simon Brian Davis
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Distributed Control for Coordinated Tracking of Fixed-Wing Unmanned Aerial Vehicles under Model Uncertainty and Disturbances

Applied Sciences, 2021
In this paper, we consider a control problem where a group of fixed-wing unmanned aerial vehicles (UAVs) with uncertain dynamics tracks the target vehicle cooperatively in the case of external disturbance. Based on the Gaussian process regression, a data-
Qipeng Wang, Shulong Zhao, Xiangke Wang
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Uniform Bound for the Number of Rational Points on a Pencil of Curves [PDF]

International mathematics research notices, 2019
Consider a one-parameter family of smooth, irreducible, projective curves of genus $g\ge 2$ defined over a number field. Each fiber contains at most finitely many rational points by the Mordell conjecture, a theorem of Faltings.
V. Dimitrov, Ziyang Gao, P. Habegger
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Nonhomogeneous Dirichlet Problems with Unbounded Coefficient in the Principal Part

Axioms, 2022
The main result of the paper establishes the existence of a bounded weak solution for a nonlinear Dirichlet problem exhibiting full dependence on the solution u and its gradient ∇u in the reaction term, which is driven by a p-Laplacian-type operator with
Dumitru Motreanu
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A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces [PDF]

The Michigan mathematical journal, 2017
Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.
M. Bright, J. Lyczak
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Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model

Results in Applied Mathematics, 2023
A nonlinear equation, which contains nonlocal dispersion term and high order advection term, is investigated. The L2(R)uniform bound of its solution is deduced when its initial value lies in L2(R).
Jin Hong, Shaoyong Lai
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Improvements of Poisson approximation for n-dimensional unit cube random graph [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2021
This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approximation for the n-dimensional unit cube random graph. These bounds are re-established under the restriction of Poisson mean λ = 1.
Kanint Teerapabolarn
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Optimal Non-Uniform Sampling by Branch-and-Bound Approach for Speech Coding

IEEE Access, 2022
Speech coding plays a significant role in voice communication and improving network bandwidth efficiency for applications that require long-distance communication or storage space utilization. Non-uniform sampling (NUS) is a technique for the same, which
Sakshi Pandey, Amit Banerjee
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