Multi-valued mappings on Pompeiu-Hausdorff fuzzy b-metric spaces and a common fixed point result by Noreddine Makran, Stojan N. Radenović

“…Additionally, a general common fixed point theorem for a pair of multi-valued mappings in Pompeiu-Hausdorff fuzzy b-metric spaces is investigated. …”
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THE BODY OF «GENERAL AI» AS AN ONTO-SOCIAL VERIFIER by Станіслав БЕСКАРАВАЙНИЙ

“…The body for general AI can be a tool for overcoming the limitations of Gödel’s incompleteness theorem. A contradiction is described: between the need for the widest possible use of publicly available “digital twins”, collective knowledge of the world and the need for general AI to have an ontological verifier as the basis for its own subjectivity. …”
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Coordinated allocation of distributed generation, soft open points and energy storage systems in unbalanced distribution networks considering flexibility deficiency risk by Jie Wang, Xiaochao Fan, Lijun Xu, Ruijing Shi, Weiqing Wang

“…The adaptive linear relaxation technique is constructed based on the properties of quadratic functions and the mean value theorem, and the non-convex quadratic programming problem is converted to a series of parametric linear relaxation programming problems by the technique. …”
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Evolution of Electoral Preferences for a Regime of Three Political Parties by María Guadalupe Medina Guevara, Héctor Vargas Rodríguez, Pedro Basilio Espinoza Padilla, José Luis Gozález Solís

“…The model can be reduced to a pair of coupled nonlinear difference equations, making extracting analytical results possible: a theorem on the conditions governing the existence of consensus in this new artificial society. …”
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A Study on the Dependency Between Selected Global Stock Markets and Gold and Silver Futures by Ozan Kaymak

“…This study aims to evaluate the validity of the Capital Asset Pricing Model (CAPM) theorem, which posits that the expected returns of financial assets are influenced by systematic and unsystematic risks within the context of the selected market data for the specified period. …”
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An Evolutionary Game Model of a Regional Logistics Service Supply Chain Complex Network in a Blockchain Environment by Guangsheng Zhang, Zhaomin Zhang

“…This study assumes bounded rationality and constructs an evolutionary game model to analyze the adoption behaviors of logistics service providers (LSPs) and logistics service integrators (LSIs) in a blockchain environment. The stability theorem of differential equations is employed to elucidate the inherent decision-making mechanisms present in the game. …”
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Discrepancy between performance and feedback affects mathematics student teachers’ self-efficacy but not their self-assessment accuracy by Helen M. Ernst, Anja Prinz-Weiß, Jörg Wittwer, Thamar Voss

“…In the first study, N = 154 student teachers studying mathematics completed a knowledge test on the Pythagorean theorem and received performance feedback that was either correct or manipulated to be more positive or more negative than actual performance. …”
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DEVELOPMENTAL PROGRAMMES AND POLICIES: A LOGIC MODEL APPROACH by Obuks Augustine EJOHWOMU, Morakinyo Kehinde ONIFADE, Babatunde ADEOYE

“…This approach provided a schematic play-out of the feasibility of the evaluated programmes, and weights were assigned to the proposed strategies and their respective expected outcomes by target respondents and Bayes’ theorem was applied to the respondents’ scores.The findings showed that the strategies for a modest growth in the agricultural sector are provision of incentives for cash crops farming, institutionalising of agricultural practices and re-introduction of agricultural insurance scheme. …”
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Application of compressive sensing techniques for advanced image processing and digital image transmission by Stefanović Nenad, Sazdić-Jotić Boban, Orlić Vladimir, Mladenović Vladimir, Ćirković Stefan

“…By leveraging the inherent sparsity in natural images, CS allows for significant reductions in the amount of data required for accurate reconstruction, thereby overcoming the limitations imposed by the traditional Shannon-Nyquist sampling theorem. We explore the theoretical foundations of CS, including the principles of sparsity and incoherence, and provide a detailed overview of the Orthogonal Matching Pursuit (OMP) algorithm, a prominent greedy algorithm used for sparse signal recovery. …”
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Tunnel face stability in strata rich in water with soft upper and hard lower layers by Tao Zhan, Ziwei Hu, Yan Kuang, Zhiliang Zhu, Kaiyi Liao

“…To address this issue, three-dimensional discrete failure mechanisms for both partial and overall failure modes are established on the basis of the upper bound theorem and spatial discretization techniques. The influence of pore water pressure is also considered, leading to the development of a method for calculating the critical support force of tunnel faces in such strata, while taking into account both failure modes and the effects of groundwater. …”
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The surface of non-linear rotation by K. L. Panchuk, T. M. Myasoyedova

“…Several propositions, a lemma and a theorem are proved, which allow one to form the initial data in the problem of nonlinear rotation, the solution of which is the parametric equations of smooth surfaces. …”
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Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations by Fahad M. Alamrani, Ebrahem A. Algehyne, Esmail Alshaban, Adel Alatawi, Hamid I. A. Mohammed, Faizan Ahmad Khan

“…In the course of the procedure, we also derive a related fixed point theorem for strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. …”
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Performance Enhancement of a Solar Photovoltaic System with Differential Evolution-Optimized Quasi Sliding Mode Control by Rizki Habiba, Boufounas El-Mahjoub, El Amrani Aumeur, El Amraoui Mohamed, Bejjit Lahcen

“…The stability of the proposed technique is rigorously analyzed using the Lyapunov function theorem, ensuring robust system behavior. The effectiveness of the DE-optimized QSMC is validated through simulations conducted on the Matlab platform, demonstrating superior performance compared to conventional control techniques.…”
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Sculpturing sound fields with the real-space structural topology of acoustic cavities by Qing Tong, Shubo Wang

“…The mechanism is rooted in the Poincaré–Hopf theorem and is irrelevant to the specific material, geometric details, or excitations. …”
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Probabilistic Power Flow Analysis of DERs Integrated Power System From a Bayesian Parameter Estimation Perspective by Wanjoli, Paul, Moustafa, Mohamed M.Zakaria, Abbasy, Nabil H.

“…This paper presents a probabilistic power flow (PPF) method for systems with DERs, using Bayesian parameter estimation (BPE) to handle uncertainties in wind speed, solar irradiance, and loads. By applying Bayes’ theorem, BPE estimates posterior distributions, refined by the Metropolis-Hastings algorithm. …”
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Stability analysis of three-dimensional slope reinforced by natural fiber include wheat straw and bamboo by Jiahua Zhang, Yunjun Wei, Yuanlei Zhu, Daobing Zhang, Biao Zhang

“…The test results were introduced into the 3D stability analysis model of reinforced slopes, and the analytical solution of the stability factor was deduced by the upper bound theorem, and an optimal upper limit solution of the stability factor was solved by the exhaustive enumeration method by Matlab software. …”
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Optimization Design for Support Points of the Body-Mounted Solar Panel by Qingwu Liu, Jisong Yu, Zhenjia Wang, Hao Cheng, Shanbo Chen, Lei Zhang

“…Subsequently, based on Courant–Fischer’s theorem, a method to ascertain the least quantity of support points through two modal analyses is presented. …”
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Undrained bearing capacity of obliquely-eccentrically loaded shallow foundations overlying a heterogeneous and inherently anisotropic clay deposit by Maedeh Nasiri Pishvari, Hessam Fathipour, Suraparb Keawsawasvong, Boonchai Ukritchon, Meghdad Payan, Reza Jamshidi Chenari

“…In this study, the undrained bearing capacity of shallow foundations resting on inhomogeneous and anisotropic clay layers subjected to oblique-eccentric combined loading is investigated through a comprehensive series of finite element limit analysis (FELA) based on the well-established lower-bound theorem and second-order cone programming (SOCP). …”
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Exploring the solutions of tempered (κ,ϖ)-Hilfer hybrid implicit boundary value problem by Abdelkrim Salim, Sabri T.M. Thabet, Ava Sh. Rafeeq, Mohammad Esmael Samei, Imed Kedim, Miguel Vivas-Cortez

“…To derive the results, we employ Banach’s fixed point theorem, which facilitates the demonstration of the existence of solutions under certain contractive conditions. …”
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Natural sampling and aliasing of marine geochemical signals by Andrew Curtis, Hugo Bloem, Rachel Wood, Fred Bowyer, Graham A. Shields, Ying Zhou, Mariana Yilales, Daniel Tetzlaff

“…We demonstrate that Nyquist’s theorem correctly predicts these biased signatures, proving that aliasing can be caused by cyclical and multiscale relative sea-level changes - a natural sampling effect. …”
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