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Surveys in Mathematics and its Applications
Scopus
ISSN 1843-7265 · University Constantin Brancusi of Targu-Jiu · 323 artikel di indeks
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A multimodal deep learning framework for human behavior recognition and synthesis using CNN-LSTM and ensemble models
This study integrates deep learning models to represent, analyze, and generate diverse human behaviors, including postures, gestures, facial expressions, physiological signals, and emotional states. By modeling multimodal signals, the research develops a holistic framework for understanding and…
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The fundamentals of GARCH
This paper goes over very first theoretical aspects regarding the GARCH process. Our survey comprises: (i) a literature review that indicates the parts of the founding theory covered by many standard textbooks (and some other parts that are not); and (ii) detailed and classroom level proofs of the…
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Suggestions to study affine and GIT quotients of the extended Grothendieck--Springer resolution
We define filtered ADHM data and connect a notion of filtered quiver representations to Grothendieck--Springer resolutions. We also provide current developments and give a list of research problems to further study filtered ADHM equation.
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A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach
In this paper, we first recall the concept o f the multiplicative conformable fractional integrals (MCFI) and their several properties. Then, we establish the Ostrowski type inequalities in two distinct senses for multiplicative conformable fractional integrals. The reason for considering two…
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Extended generalization of the Bernoulli equation
This short note introduce an analytic solution for a generalized Bernoulli non-linear first-order ordinary differential equation (ODE), extending the framework proposed by Azevedo and Valentino [Int J Math Educ Sci, 2016, 47(8), 1271--1276]. The family of analytic solutions are obtained by…
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Cubic curves associated to quadrics
he aim of this paper is to study two associated cubic curves C1,2(Γ) to a given Euclidean quadric Γ through two polynomials generated by the symmetric 3 × 3 and 4 × 4 matrices defining Γ. More precisely, we focus here on the computation of the discriminant D of C1,2(Γ ) expressed in its Weierstrass…
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The structure of the n-th roots of unity in residue rings of prime ideals P over p in algebraic number fields 177
Let 𝕂 be an algebraic number field and let O𝕂 be its ring of integers. In this paper, we study the structure of incongruent solutions of xn ≡ 1 (mod Pa) in O𝕂, where P is a prime ideal, in order to apply these results to solving xn = 1 over the P-adic field 𝕂P.
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Power residues, digit expansions, and relative class numbers
This is a survey of a connection between the distribution of certain power residues modulo p, p a prime, and relative class numbers. The focus lies on quadratic residues and sixth power residues. Dirichlet's class number formula yields a number of results about the distribution of quadratic…
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Toeplitz determinants for a certain class of analytic and univalent functions
In this manuscript, we define and study a certain class of analytic and univalent functions defined in the open unit disk U. We derive the coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(2) for the functions in this class…
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New results on composed variants of the Young integral inequality
In this article, we contribute to the theory of integral inequalities by developing new composed variants of the Young integral inequality. The novelties include some convexity assumptions on the composition function, allowing the use of original tools in this context, such as the Jensen integral…
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Hardy space of Clausen's and Goursat's hypergeometric functions
Let ℛ denote the class of analytic functions defined in the open unit disc Δ=\z∈ ℂ: |z|
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Optimal control for infinite-dimensional linear systems with Markovian jumps in Borel spaces
This paper addresses an optimal control problem for discrete-time, infinite - dimensional linear systems with Markovian jumps (LSMJs) in a Borel space. The main objective is to minimize an infinite-horizon, non-negative quadratic cost functional for time-dependent LSMJs by generalizing previous…
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On Lipschitz (p,σ)-dominated operators
This paper focuses on the study of a new class of Lipschitz operators known as Lipschitz (p,σ)-dominated operators, which serve as an interpolating class positioned between Lipschitz p-dominated and Lipschitz mappings. We present a proof of a nonlinear Pietsch domination theorem tailored to this…
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Multinomial fix-Mahonian statistics
The permutation statistics fix, des, maj, and inv have different original contexts, and appear in diverse scientific domains such as probability, physics, and genomics. But so far, they only meet together in generating functions and equidistributions. Examples are the generating function of (inv…
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Some numerical radius inequalities for d-tuples of operators
Our aim in this paper is to give new numerical radius inequalities for d-tuples of operators on a complex Hilbert space. We prove several inequalities for multivarible operators on a complex Hilbert space. Based on that some numerical radius inequalities due to Dragomir for a single operator.
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(C,2)(E,q) product means and Fourier-Stieltjes series
In this paper, as a sequel to [J. Kim, Publications de l’Institut Mathématique (Beograd) (N.S.), 2023], we generalize Fejer's theorem on the determination of jumps of functions of bounded variation to Fourier-Stieltjes series in terms of (C,2)(E,q) product means.
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On the use of the Schwarzian derivative in real one-dimensional dynamics
In the study of properties within one-dimensional dynamics, the negative Schwarzian derivative condition has been shown to be very useful. However, this condition may seem somewhat arbitrary, as it is not inherently a dynamical condition, except for the fact that it is preserved under iteration. In…
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Geometric features of normal curves in Euclidean spaces
A normal curve in the Euclidean space E3 is defined as a curve whose position vector lies entirely within the normal plane, ensuring orthogonality at each point to the tangent vector. In this article, we examine normal curves in E3 and E4. For E3, we derive a differential equation relating…
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Lefschetz fixed point theorems for extension type spaces with respect to a selection map
In this paper we present fixed point theorems for a general class of maps defined on extension type spaces with respect to a map.
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A novel finite element method with adaptive mesh refinement for nonlinear fractional order differential equations
Nonlinear fractional order differential equations (FODEs) model complex phenomena like anomalous diffusion and nonlinear advection, posing computational challenges due to fractional derivatives and nonlinearities. We propose a novel Galerkin finite element method (FEM) that uniquely integrates the…