Results 41 to 50 of about 132,032,535 (102)
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Stickelberger\u27s congruence for classical Gauss sums over finite fields. We improve on Blache\u27s work in two ways: (i) simplify Blache\u27s proof and give a
Xhumari, Sandi
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Random process generated by the incomplete Gauss sums [PDF]
In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue ofweak invariance principle forthese sums. We focusour attentionexclusively on ageneralizationofthe limit distribution of the long incomplete Gauss
Demirci, Emek Akarsu
core
Gauss Sums of Orders Six and Twelve
Precise, elegant evaluations are given for Gauss sums of orders six and twelve.
Ronald Evans
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To address the issue of difficulty in calculating the formula for rainstorm intensity due to insufficient data duration, taking Xunxian as an example, 40 years of minute‐level precipitation data from six surrounding meteorological stations were utilized. Five mathematical and physical methods were applied to explore the extended interpolation of minute‐
Guifen Shi +4 more
wiley +1 more source
On‐ramp merging is a common expressway maneuver for connected and automated vehicles (CAVs), where trajectory planning and tracking control are central to avoiding collisions. However, existing studies rarely optimize the selection of merge start and end points and give limited attention to constraints from acceleration‐lane length. This study proposes
Zhibo Gao +6 more
wiley +1 more source
Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems
This paper describes a radial basis function collocation method that uses limited‐memory Broyden–Fletcher–Goldfarb–Shanno optimization to solve one‐dimensional ordinary differential initial value problems. Numerical tests include first‐order problems and manufactured fourth‐, sixth‐, and eighth‐order problems.
Nolf Shaker Al-Shimari +1 more
wiley +1 more source
A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums
The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for ...
Yu Zhan, Jiayuan Hu, Qin Si
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A novel semirefining extrapolation nonlinear multigrid (SENMG) method is proposed for computing high‐accuracy numerical solutions of two‐dimensional (2D) nonlinear elliptic equations discretized by fourth‐order compact finite difference schemes.
Ming Li +3 more
wiley +1 more source
The surface of Gauss double points
We study the surface of Gauss double points associated to a very general quartic surface and the natural morphisms associated to ...
Corvaja P. +5 more
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In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for ...
Zhang Jiafan, Zhang Jin
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