Results 81 to 90 of about 387,303 (294)
INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS [PDF]
The Quarterly Journal of Mathematics, 2014 We extend some methods of bounding exponential sums of the type $\displaystyle\sum_{n\le N}e^{2πiag^n/p}$ to deal with the case when $g$ is not necessarily a primitive root. We also show some recent results of Shkredov concerning additive properties of multiplicative subgroups imply new bounds for the sums under consideration.
openaire +2 more sources
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
New Mixed Exponential Sums and Their Application
, 2020 The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
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The Weight Distributions of a Class of Cyclic Codes with Three Nonzeros over 𝔽3
Journal of Applied Mathematics, 2014 Cyclic codes have efficient encoding and decoding algorithms. The decoding error probability and the undetected error probability are usually bounded by or given from the weight distributions of the codes.
Xiaogang Liu, Yuan Luo
doaj +1 more source
A Novel Integral Equation for the Riemann Zeta Function and Large t-Asymptotics
Mathematics, 2019 Based on the new approach to Lindelöf hypothesis recently introduced by one of the authors, we first derive a novel integral equation for the square of the absolute value of the Riemann zeta function.
Konstantinos Kalimeris +1 more
doaj +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Exponential sums and Diophantine problems.
, 1999 This work is concerned with the theory of exponential sums and their application to various Diophantine problems. Particular attention is given to exponential sums over smooth numbers, i.e. numbers having no large prime factors.
Parsell, Scott Thomas
core +4 more sources
On the non-hyperbolicity of a class of exponential polynomials
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we have constructed a class of non-hyperbolic exponential polynomials that contains all the partial sums of the Riemann zeta function. An exponential polynomial been also defined to illustrate the complexity of the structure of the set ...
Gaspar Mora
doaj +1 more source
Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
Some Nonlinear Exponential Smoothing Models are Unstable [PDF]
This paper discusses the instability of eleven nonlinear state space models that underly exponential smoothing. Hyndman et al. (2002) proposed a framework of 24 state space models for exponential smoothing, including the well-known simple exponential ...
Rob J Hyndman, Muhammad Akram
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