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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Approximate Solution of a Reduced-Type Index-k Hessenberg Differential-Algebraic Control System by Ghazwa F. Abd, Radhi A. Zaboon

“…This study focuses on developing an efficient and easily implemented novel technique to solve the index-k Hessenberg differential-algebraic equation (DAE) with input control. The implicit function theorem is first applied to solve the algebraic constraints of having unknown state differential variables to form a reduced state-space representation of an ordinary differential (control) system defined on smooth manifold with consistent initial conditions. …”
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Functional Approach for Solving Reduced Order of Index-Four Hessenberg Differential-Algebraic Control System by Ghazwa F. Abd

“…This research investigates differential-algebraic equations with higher index (index four). …”
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An Expanded Concept and Graph of Zadeh’s Algebraic Operations for 3-Dimensional Generalized Triangular Fuzzy Sets by Yong Sik Yun

“…Algebraic operators for fuzzy sets have been studied in 2-dimensional space. …”
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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS by V. I. Igoshin

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On the range of completely bounded maps by Richard I. Loebl

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Applications of magnesium iodide structure via modified-polynomials by Haleemah Ghazwani, Muhammad Kamran Jamil, Ali Ahmad, Muhammad Azeem, Ali N. A. Koam

Subjects: “…Algebraic formation…”
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Classification of injective factors: The wok of Alain Connes by Steve Wright

Subjects: “…injective von Neumann algebra…”
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Extension of simultaneous Diophantine approximation algorithm for partial approximate common divisor variants by Wonhee Cho, Jiseung Kim, Changmin Lee

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The finiteness of the Tate–Shafarevich group over function fields for algebraic tori defined over the base field by Rapinchuk, Andrei, Rapinchuk, Igor

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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

“…Next, a nonisospectral integrable family associated with the discrete spectral problem is constructed through nonisospectral discrete zero curvature representation. Finally, Lie algebra of isospectral and nonisospectral vector fields is deduced.…”
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Duality Identities for Moduli Functions of Generalized Melvin Solutions Related to Classical Lie Algebras of Rank 4 by S. V. Bolokhov, V. D. Ivashchuk

“…We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4 (namely, A4, B4, C4, and D4) corresponding to certain internal symmetries of the solutions. …”
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Fixed Point Results for Weak φ-Contractions in Cone Metric Spaces over Banach Algebras and Applications by Biwen Li, Huaping Huang

“…By using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak φ-contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also given.…”
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The algebraic extended atom-type graph-based model for precise ligand–receptor binding affinity prediction by Farjana Tasnim Mukta, Md Masud Rana, Avery Meyer, Sally Ellingson, Duc D. Nguyen

Subjects: “…Algebraic graph learning…”
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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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Invariant Operators of Five-Dimensional Nonconjugate Subalgebras of the Lie Algebra of the Poincaré Group P(1,4) by Vasyl Fedorchuk, Volodymyr Fedorchuk

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Online energy consumption forecast for battery electric buses using a learning-free algebraic method by Zejiang Wang, Guanhao Xu, Ruixiao Sun, Anye Zhou, Adian Cook, Yuche Chen

Subjects: “…Algebraic derivative estimation…”
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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. Firstly, an improved 2D hyperchaotic map is proposed, which consists of better dynamical behaviour in terms of large Lyapunov exponents, excellent bifurcation, phase attractor, high entropy, and unpredictability. …”
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A Synchronous Machine Transient Model Based upon an Algebraic Loop Accounting for Nonlinearity and Cross-Magnetization by R. Felicetti, U. Lundin

“…The resulting signal flowchart shows an algebraic loop within the model, where the main flux linkage rapidly converges to its instantaneous value by simple iteration. …”
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Bifurcation Analysis and Control of a Differential-Algebraic Predator-Prey Model with Allee Effect and Time Delay by Xue Zhang, Qing-ling Zhang

“…This paper studies systematically a differential-algebraic prey-predator model with time delay and Allee effect. …”
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