Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method by Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse

“…Some basic properties and theorems which help us to solve the governing problem using the suggested approach are revised. …”
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Expressiveness of Commutative Quantum Circuits: A Probabilistic Approach by Jorge M. Ramirez, Elaine Wong, Caio Alves, Sarah Chehade, Ryan Bennink

“…A central outcome of our work includes formulas to approximate the frame potential and expressiveness for any commutative quantum circuit, underpinned by convergence theorems in the probability theory. We identify the lattice volume of the random walk as means to approximate expressiveness based on circuit architecture. …”
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Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces by Vagif S. Guliyev, Seymur S. Aliyev, Turhan Karaman

“…Conditions of these theorems are satisfied by many important operators in analysis, in particular pseudodifferential operators, Littlewood-Paley operator, Marcinkiewicz operator, and Bochner-Riesz operator.…”
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A Novel and Efficient Iterative Approach to Approximating Solutions of Fractional Differential Equations by Doaa Filali, Nidal H. E. Eljaneid, Adel Alatawi, Esmail Alshaban, Montaser Saudi Ali, Faizan Ahmad Khan

“…This study presents a novel and efficient iterative approach to approximating the fixed points of contraction mappings in Banach spaces, specifically approximating the solutions of nonlinear fractional differential equations of the Caputo type. We establish two theorems proving the stability and convergence of the proposed method, supported by numerical examples and graphical comparisons, which indicate a faster convergence rate compared to existing methods, including those by Agarwal, Gursoy, Thakur, Ali and Ali, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>D</mi><mrow><mo>∗</mo><mo>∗</mo></mrow></msup></semantics></math></inline-formula>. …”
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Deterministic and Stochastic Study for an Infected Computer Network Model Powered by a System of Antivirus Programs by Youness El Ansari, Ali El Myr, Lahcen Omari

“…Furthermore, we use the Itô formula and some other theoretical theorems of stochastic differential equation to discuss the extinction and the stationary distribution of our system. …”
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An Application of Product of Intuitionistic Fuzzy Incidence Graphs in Textile Industry by Irfan Nazeer, Tabasam Rashid, Abazar Keikha

“…The method to compute the degree of IFIGs obtained by CP, composition, tensor product, and the normal product is discussed. Some important theorems to calculate the degree of the vertices of IFIGs acquired by CP, composition, tensor product, and normal product are elaborated. …”
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Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls by Jin-Bo Fu, Lan-Sun Chen

“…Firstly, we define the successor functions of semicontinuous dynamic system and give existence theorems of order-1 periodic solution and order-2 periodic solution of such system. …”
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Carrollian partition functions and the flat limit of AdS by Per Kraus, Richard M. Myers

“…We explore this connection, including the realization of symmetries, soft theorems arising from large gauge transformations, and the correspondence with standard momentum space amplitudes. …”
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Solving Split Common Fixed-Point Problem of Firmly Quasi-Nonexpansive Mappings without Prior Knowledge of Operators Norms by Jing Zhao, Hang Zhang

“…As a consequence, we obtain strong convergence theorems for split feasibility problem and split common null point problems of maximal monotone operators. …”
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Représentation et activité : deux concepts étroitement associés by Gérard Vergnaud

“…Ce sont des concepts et des théorèmes en acte. Le caractère implicite d’une grande partie de nos connaissances, ne signifie pas que les connaissances explicites ne sont pas opératoires. …”
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Winding topology of multifold exceptional points by Tsuneya Yoshida, J. Lukas K. König, Lukas Rødland, Emil J. Bergholtz, Marcus Stålhammar

“…Our framework implies fundamental doubling theorems for both generic EPns and symmetry-protected EPns in n-band models.…”
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Modeling the Combined Effect of Hepatitis B Infection and Heavy Alcohol Consumption on the Progression Dynamics of Liver Cirrhosis by Lemesa Bedjisa Dano, Koya Purnachandra Rao, Temesgen Duressa Keno

“…We established and proved the existence theorems for forward and backward bifurcations, respectively. …”
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A Study of the Usage of Artificial Intelligence in Scientific Research and Education by Peng Ruisen

“…Ilie mam problems are the randomness and the nature of Blackbox, and the general solving method is to add a part of the model to let the model “understand” the principles and theorems that are in the field. Also, the paper generates a general situation of the usage of artificial intelligence hi education, which is speaking out at an increasing speed. …”
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Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation by M.M. Khader, A. Eid, M. Adel

“…This system is built as a restricted optimization problem and optimized to obtain the series solution’s unknown coefficients. Some theorems are provided to investigate the method’s convergence. …”
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Constructions of Golomb Costas arrays and their applications in OFDM systems by Jian-guo YAO, Yu-feng WANG, Wei HENG

“…By conducting a number of researches on algebraic constructions and the auto- and cross-correlation properties of Golomb Costas arrays with 1-gap row and 1-gap column, certain theorems were confirmed. The design of frequency hopping codes and the distribution of them to the users were illustrated while the design of frequency hopping patterns was explored in OFDM system with Golomb Costas arrays with 1-gap row and 1-gap column. …”
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Preface by Azmy S. Ackleh, Linda J. S. Allen, Graciela Canziani, Shandelle M. Henson, Jia Li, Zhien Ma

“…Thomas Guy Hallam began his career as a faculty member inthe Department of Mathematics at Florida State University, workingin the area of comparison theorems for ordinary differentialequations. While at Florida State he organized a mathematicalmodeling course and thus became interested in mathematical biology.He began to wonder how he, as a mathematician, might address themounting environmental problems. …”
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Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications by Mohammed Shehu Shagari, Shazia Kanwal, Akbar Azam, Hassen Aydi, Yaé Ulrich Gaba

“…In the instance where our presented results are slimmed down to their equivalent nonfuzzy counterparts, the concept investigated herein unifies and generalizes a significant number of well-known fixed point theorems in the setting of both single-valued and multivalued mappings in the corresponding literature. …”
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Distributed Robust Cooperative Hierarchical Control for Island Microgrids under Hijacking Attacks Based on Multiagent Systems by Abdollah Mirzabeigi, Ali Kazemy, Mehdi Ramezani, Seyed Mohammad Azimi

“…Then, global stability and simultaneous synchronization of the frequency and voltage of the microgrid in the presence of a hijacking attack have been investigated by introducing the new Lyapunov function and proving the appropriate theorems. A case study has been simulated in MATLAB/Simulink in a microgrid. …”
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Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia by Wahidah Sanusi, Nasiah Badwi, Ahmad Zaki, Sahlan Sidjara, Nurwahidah Sari, Muhammad Isbar Pratama, Syafruddin Side

“…Methods applied for this model are building the SIRS model by modifying the SIR model, analysing the SIRS model using the Lyapunov function to prove three theorems (the existence, the free disease, and the endemic status of dengue fever), and simulating the SIRS model using the number of dengue case data in South Sulawesi by Maple. …”
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A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces by Iqra Shamas, Saif Ur Rehman, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…Moreover, some unique coincidence points and CFP theorems were presented for three self-mappings in an FM space under the conditions of rational type weakly-compatible fuzzy-contraction. …”
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