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Computation of the -Table Related to the Padé Approximation
Published 2013-01-01Get full text
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A Review on Mechanical Proving and Formalization of Mathematical Theorems
Published 2025-01-01“…The past few centuries have witnessed multiple periods of machine proof of mathematical theorems as computer technology has continued to evolve. …”
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Mathematical Modeling and Analysis of Transmission Dynamics and Control of Schistosomiasis
Published 2021-01-01“…This paper presents a mathematical model that describes the transmission dynamics of schistosomiasis for humans, snails, and the free living miracidia and cercariae. …”
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New Mathematical Modeling to Optimize the Frequency of Bus Routes
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Modeling and computing experiment in the problem of predicting the per capita monetary income of the population based on the methods of correlation and regression analysis
Published 2022-09-01“…Created algorithmic software based on the regression models and methodology for conducting the corresponding computational experiment can be used in other applications of economic-mathematical modeling.…”
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Mathematical approaches for track analysis and process optimization in additive manufacturing
Published 2025-07-01“…Here we show a unified mathematical framework that links key variables to track geometry: we derive analytical expressions for solid and liquid contact angles, introduce dimensionless wetting shape factors to compute segment area and volume, and develop quadratic models relating powder layer thickness to track width and height. …”
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Translation and psychometric evaluation of the Chinese version of the mathematical resilience scale
Published 2025-09-01Get full text
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Threshold Analysis of Request Degradation in the Computer Network
Published 2019-06-01“…In this paper, the existing approaches to the assessment of computer networks performance are considered. The standard structure of a network of the application layer of the OSI model using the example of SBIS3 application (product of Tensor Company) is treated.Further, two approaches allowing to analyze degradations in a network are considered - on the basis of aggregated data and the operational analysis.The degradation study of more than 60 000 request types between two versions of application which works on the basis of the computer network is the cornerstone of the first decision. …”
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A Computer System for Measuring the Relationship of Smell and Pain
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Digital Twins for Personalized Medicine Require Epidemiological Data and Mathematical Modeling: Viewpoint
Published 2025-08-01“…Through artificial intelligence (AI) and mathematical modeling, DTs facilitate predictive analytics for disease risk assessment, early diagnosis, and treatment response forecasting. …”
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Wearable Sensors and Computational Intelligence in Alpine Skiing Analysis
Published 2025-01-01“…This study highlights the unifying role of digital signal processing, which uses similar mathematical tools across various applications.…”
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A Lightweight CNN for Multi-Class Classification of Handwritten Digits and Mathematical Symbols
Published 2025-08-01“…Trained and evaluated on a publicly available dataset of over 10,000 grayscale 28×28-pixel images across 19 symbol classes, the model achieves a test accuracy of 91.8% while maintaining low computational demands. This work contributes to the development of practical handwritten mathematical expression recognition systems and demonstrates the feasibility of using Julia for developing lightweight deep learning applications. …”
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