Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay by Xiaojian Zhou, Xin Chen, Yongzhong Song

“…We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. …”
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Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods by Zhongxuan Luo, Erbao Feng, Jielin Zhang

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Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations by Hongliang Liu, Yayun Fu, Bailing Li

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Motion Modeling and Control of Lower Limb Exoskeleton Based on Max-Plus Algebra by Cuifeng Qin, Zuojun Liu

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Dirac equation solution in the light front via linear algebra and its particularities by Jorge Henrique de Oliveira Sales, Gabriel de Oliveira Aragão, Diego Ramos do Nascimento, Ronaldo Thibes

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Backreacted Coulomb energy in the Skyrme model by Sven Bjarke Gudnason, James Martin Speight

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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics by Yan Gu, Jiao Wang

“…We show that the theory of quantum statistical mechanics is a special model in the framework of the quantum probability theory developed by mathematicians, by extending the characteristic function in the classical probability theory to the quantum probability theory. As dynamical variables of a quantum system must respect certain commutation relations, we take the group generated by a Lie algebra constructed with these commutation relations as the bridge, so that the classical characteristic function defined in a Euclidean space is transformed to a normalized, non-negative definite function defined in this group. …”
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Stability of a Bi-Additive Functional Equation in Banach Modules Over a C⋆-Algebra by Won-Gil Park, Jae-Hyeong Bae

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NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER by Mikhail Valeryanovich Buiaun, Nicolai Petrovich Rakhvalov, Tạ Duy Phượng

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Analysis of Local Stability for Passive Walking Robot based on Spatial Operator Algebra Theory by Fei Lou, Wei Shen, Jing Guan, Guolin Ni

“…In order to achieve stable control, the Poincare-mapping function is built by using spatial operator algebra (SOA) and the swing phase and impact phase dynamics equation of the passive walking robot are deduced. …”
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Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach by C. F. Lo, C. H. Hui

“…We present a Lie algebraic technique for the valuation of multi-asset financial derivatives with time-dependent parameters. …”
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A Family of Integrable Differential-Difference Equations: Tri-Hamiltonian Structure and Lie Algebra of Vector Fields by Ning Zhang, Xi-Xiang Xu

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Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation by G. Loaiza, Y. Acevedo, O.M.L. Duque, Danilo A. García Hernández

“…Finally, we classify the Lie algebra associated with the given equation.…”
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Optical Solutions of the Date–Jimbo–Kashiwara–Miwa Equation via the Extended Direct Algebraic Method by Ghazala Akram, Naila Sajid, Muhammad Abbas, Y. S. Hamed, Khadijah M. Abualnaja

“…The integration scheme, namely, the extended direct algebraic method, is used to extract complex trigonometric, rational and hyperbolic functions. …”
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Research trends on early algebra in the middle school: A combined bibliometric and meta-analysis review by Dilham Fardian, Didi Suryadi, Sufyani Prabawanto, Silfia Hayuningrat

“…The noticeable upward trend in the volume of publications on early algebra since the beginning of 2013 indicates a dynamic and evolving research landscape in this field. …”
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A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method by Khaled Moaddy, Mohammed AL-Smadi, Ishak Hashim

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Application of modified extended direct algebraic method to nonlinear fractional diffusion reaction equation with cubic nonlinearity by Muhammad Bilal, Alamgir Khan, Ikram Ullah, Hasib Khan, Jehad Alzabut, Hisham Mohammad Alkhawar

“…Abstract This work uses the modified Extended Direct Algebraic Method (mEDAM) with conformable derivatives to obtain accurate solutions for the diffusion-reaction equation with cubic nonlinearity and the nonlinear fractional generalised density-independent DR problem. …”
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Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation by Musheer Ahmad, Eesa Al-Solami

“…This paper proposes to present a novel method of generating cryptographic dynamic substitution-boxes, which makes use of the combined effect of discrete hyperchaos mapping and algebraic group theory. …”
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Some Dynamic Inequalities of Hilbert’s Type by A. M. Ahmed, Ghada AlNemer, M. Zakarya, H. M. Rezk

“…This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. …”
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Dynamic Gust Load Analysis for Rotors by Yuting Dai, Linpeng Wang, Chao Yang, Xintan Zhang

“…Then, we transformed the differential aeroelastic governing equation to an algebraic one. Hence, the widely used Newton-Raphson iteration algorithm is employed to simulate the dynamic gust load. …”
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