Results 11 to 20 of about 1,412,096 (229)
On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane
The definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given.
Makhmud Sadybekov, Bauyrzhan Derbissaly
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Automatic classification of heart rhythm disturbances using an electrocardiogram is a reliable way to timely detect diseases of the cardiovascular system.
Mariya R. Kiladze +4 more
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Mathematical Modelling of Slopes
The paper discusses first the effect of rainfall on the stability of slopes and it focusses on the role of permeability. Existing or induced discontinuities are shown to have a remarkable effect on the slope safety. Also, the relevance of changes in hydraulic properties in weathered profiles is discussed through a real case.
Alonso Pérez de Agreda, Eduardo +2 more
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Mathematical modeling of genome replication [PDF]
Peer reviewedPublisher ...
A. Kolmogorov +5 more
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Medical imaging using different modalities has many problems. The main ones are low informativeness, various distortion noises, and a large amount of information. Fusion, denoising, and visual data compression are used to solve them in practice. Discrete
Nikolay N. Nagornov +3 more
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Exploring young students creativity: The effect of model eliciting activities [PDF]
The aim of this paper is to show how engaging students in real-life mathematical situations can stimulate their mathematical creative thinking. We analyzed the mathematical modeling of two girls, aged 10 and 13 years, as they worked on an authentic task ...
Amit, Miriam, Gilat, Talya
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Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints [PDF]
This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-organized patterns from non-locality and anisotropy of the interactions ...
Cristiani, Emiliano +2 more
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Infinite discrete chains and the maximal number of countable models
The paper is aimed at studying the countable spectrum of small linearly ordered theories. The objectives of the research are to study the structural properties of countable linearly ordered theories, as well as to promote the solution to the well-known ...
B. Baizhanov, T. Zambarnaya
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Mathematical modeling of apoptosis [PDF]
Apoptosis is a form of programmed cell death, which is fundamental to all multicellular organisms. Deregulation of apoptosis leads to a number of severe diseases including cancer. Apoptosis is initiated either by extrinsic signals via stimulation of receptors at the cellular surface or intrinsic signals, such as DNA damage or growth factor withdrawal ...
Kolja Schleich, Inna N. Lavrik
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Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning
First-principles modeling of dynamical systems is a cornerstone of science and engineering and has enabled rapid development and improvement of key technologies such as chemical reactors, electrical circuits, and communication networks.
Ward Quaghebeur +2 more
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