Results 1 to 10 of about 1,282,961 (279)

Goldbach partitions and norms of cusp forms

open access: yesJournal 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
doaj   +7 more sources

Distributed Control for Coordinated Tracking of Fixed-Wing Unmanned Aerial Vehicles under Model Uncertainty and Disturbances

open access: yesApplied 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
doaj   +1 more source

Nonhomogeneous Dirichlet Problems with Unbounded Coefficient in the Principal Part

open access: yesAxioms, 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
doaj   +1 more source

Improvements of Poisson approximation for n-dimensional unit cube random graph [PDF]

open access: yesSongklanakarin 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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Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model

open access: yesResults 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
doaj   +1 more source

Optimal Non-Uniform Sampling by Branch-and-Bound Approach for Speech Coding

open access: yesIEEE 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
doaj   +1 more source

Renormalization approach to the superconducting Kondo model

open access: yesSciPost Physics, 2022
An approach to bound states based on unitary transformations of Hamiltonians is presented. The method is applied to study the interaction between electrons in a BCS $s$-wave superconductor and a quantum spin.
Steffen Sykora, Tobias Meng
doaj   +1 more source

Cheeger constants and $L^2$-Betti numbers [PDF]

open access: yes, 2013
We prove the existence of positive lower bounds on the Cheeger constants of manifolds of the form $X/\Gamma$ where $X$ is a contractible Riemannian manifold and ...
Bowen, Lewis
core   +1 more source

Quantitative Stability of Optimization Problems with Stochastic Constraints

open access: yesMathematics, 2023
In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
doaj   +1 more source

A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and B.
Chuang Lv, Lihua You, Xiao-Dong Zhang
doaj   +1 more source

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