Results 51 to 60 of about 168,117,835 (293)
Representations of integers by systems of three quadratic forms [PDF]
Proceedings of the London Mathematical Society, 2016 It is classically known that the circle method produces an asymptotic for the number of representations of a tuple of integers (n1,…,nR) by a system of quadratic forms Q1,…,QR in k variables, as long as k is sufficiently large with respect to R; reducing the required number of variables remains a significant open problem.
Pierce, Lillian B. +2 more
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Математичні СтудіїThis paper has involved the use of a variety of variations of the Fermat-type equation $f^n(z)+g^n(z)=1$, where $n(\geq 2)\in\mathbb{N}$. Many researchers have demonstrated a keen interest to investigate the Fermat-type equations for entire and ...
R. Mandal, R. Biswas
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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
Autonomous linear lossless systems
, 2008 We define a lossless autonomous system as one having a quadratic differential form associated with it called an energy function, which is positive and which is conserved.
Rao, Shodhan +3 more
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Complex dynamics of a sub-quadratic Lorenz-like system
Open Physics, 2023 Motivated by the generic dynamical property of most quadratic Lorenz-type systems that the unstable manifolds of the origin tending to the stable manifold of nontrivial symmetrical equilibria forms a pair of heteroclinic orbits, this technical note ...
Li Zhenpeng +5 more
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On an oppenheim-type conjecture for systems of quadratic forms
Israel Journal of Mathematics, 2004 To be published in Israel Journal of Mathematics, 19 ...
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Linear systems of real quadratic forms [PDF]
Proceedings of the American Mathematical Society, 1964 1. It is natural to consider invariantive properties of k-dimensional linear systems of real quadratic forms over Rn (or quadratic forms over Rn with values in RkI 2< k5 In(n + 1)), because of the occurrence of such objects at least in the following contexts: in the second fundamental form of classical differential geometry for n-dimensional manifolds ...
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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
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
Entire and meromorphic solutions for systems of the differential difference equations
Demonstratio Mathematica, 2022 With the help of the Nevanlinna theory of meromorphic functions, the purpose of this article is to describe the existence and the forms of transcendental entire and meromorphic solutions for several systems of the quadratic trinomial functional equations:
Xu Hong Yan, Li Hong, Ding Xin
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