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A Review of Mathematical Models in Robotics - MDPI In robotics, much emphasis is placed on mathematical modeling, as the creation, control, and optimization of robots for a wide field of work must be achieved precisely and adaptively The aim of this paper is to present a systematic and structured approach to the literature review of mathematical models in robotics, critically considering mathematical frameworks that influence and shape
Mathematical Model of Data Processing in a Personalized Search . . . This paper presents a probabilistic-temporal modeling approach for analyzing data processing stages in a personalized recommendation system for digital heritage collections The methodology is based on (Graphical Evaluation and Review Technique) GERT network formalism, which enables the representation of complex probabilistic workflows with feedbacks and alternative branches For each
Using Machine Learning for the Precise Experimental Modeling of . . . When catastrophe theory is applied to the experimental modeling of catastrophe phenomena, it is impossible to know in advance the corresponding relationship and mapping form between the parameters of the actual catastrophe mathematical model and the parameters of the canonical catastrophe mathematical model This gives rise to the problem in which the process of experimental modeling cannot be
Mathematical Modeling of Economic Growth, Corruption, Employment and . . . In this paper, we construct and propose a new mathematical model to study the dynamics of economic growth, corruption, unemployment, and inflation The proposed model includes several relationships between these social and economic factors that have been studied and presented by economists The mathematical model has several equilibrium points that are related to different socioeconomic
Simple Mathematical and Simulink Model of Stepper Motor This paper presents a simple mathematical and Simulink model of a two-phase hybrid stepper motor, where ignoring the permeance space harmonics of the hybrid stepper motor is regarded as the main physical assumption in this article Moreover, the dq transformation method is adopted as the main mathematical approach for the derivation of the proposed model, where simple voltages, currents, and
Mathematical Modeling of Physical Reality: From Numbers to . . . - MDPI In physics, we construct idealized mathematical models in order to explain various phenomena which we observe or create in our laboratories In this article, I recall how sophisticated mathematical models evolved from the concept of a number created thousands of years ago, and I discuss some challenges and open questions in quantum foundations and in the Standard Model We liberated nuclear
A New Mathematical Model of COVID-19 with Quarantine and Vaccination - MDPI A mathematical model revealing the transmission mechanism of COVID-19 is produced and theoretically examined, which has helped us address the disease dynamics and treatment measures, such as vaccination for susceptible patients The mathematical model containing the whole population was partitioned into six different compartments, represented by the SVEIQR model Important properties of the
Identification of the Mathematical Model of Tuberculosis and HIV Co . . . This paper proposes and analyzes a mathematical model of tuberculosis and HIV co-infection that specifies for Russian Federation regions, based on mass balance law and described by eight ordinary differential equations A sensitivity-based identifiability analysis of this mathematical model was performed, which revealed the sensitivity of the averaged parameters of the models to statistical
Development of a Mathematical Model and Structural Optimization of the . . . Saline-alkali soil has the characteristics of high density, high firmness and poor permeability Aiming at the problems of shallow subsoiling depth, large subsoiling specific resistance and small soil bulkiness in subsoiling operation in saline-alkali soil, this paper establishes a mathematical model of the specific resistance of a broken line subsoiler and uses genetic algorithm and the
Mathematical Modeling of Cancer Progression - MDPI Mathematical models have proven invaluable in unraveling the intricacies of this heterogeneity and its implications for cancer progression By incorporating evolutionary principles, mathematical models can simulate the process of clonal expansion, diversification, and selection within tumors