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The Hybrid Power Mean of Sixth Gauss Sums and the Two-Term Exponential Sums
Journal of Applied MathematicsThe principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two-term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums.
Xuan Wang
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The hybrid power mean of the quartic Gauss sums and the two-term exponential sums [PDF]
Advances in Difference Equations, 2018 In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear ...
Xiaoxue Li
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Some new hybrid power mean formulae of trigonometric sums [PDF]
Advances in Difference Equations, 2020 We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
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Global Energy Interconnection, 2023 Photovoltaic (PV) power generation is characterized by randomness and intermittency due to weather changes. Consequently, large-scale PV power connections to the grid can threaten the stable operation of the power system.
Ruxue Bai +3 more
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On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums [PDF]
Journal of Mathematics, 2021 The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting ...
Jingzhe Wang
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The hybrid power mean involving the Kloosterman sums and Dedekind sums
Open MathematicsKloosterman sums and Dedekind sums are two important sums in analytic number theory, the study of their various properties is a very interesting subject.
Li Ruiyang, Chen Long
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Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
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EnergiesThe problems associated with the greenhouse effect have increased the desire to limit carbon dioxide (CO2) emissions into the atmosphere, including emissions produced by shipboard electrical power systems. This has led to a further search for solutions in this area, such as shipboard hybrid electric power systems (SHEPSs). These systems do not yet have
Sergii Tierielnyk, Valery Lukovtsev
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Two Kinds Hybrid Power Mean Involving Two-Term Exponential Sums and Dedekind Sums [PDF]
, 2023 The main purpose of this article is using the analytic mathods and the quadratic residual transformation technique, and properties of Dedekind sums to study the calculating problem of two kinds hybrid power mean involving the two-term exponential sums and Dedekind sums, and give two asymptotic formulas for it. This work is a generalization for existing
Yu, Jinmin, Han, Xue, Wang, Tingting
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The Power of the Hybrid Model for Mean Estimation [PDF]
Proceedings on Privacy Enhancing Technologies, 2020 Abstract We explore the power of the hybrid model of differential privacy (DP), in which some users desire the guarantees of the local model of DP and others are content with receiving the trusted-curator model guarantees. In particular, we study the utility of hybrid model estimators that compute the mean of arbitrary realvalued ...
Brendan Avent +2 more
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