Results 1 to 10 of about 25,571,775 (395)
Mathematical Analysis of Ultrafast Ultrasound Imaging [PDF]
SIAM Journal on Applied Mathematics, 2016 This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates.
G. Alberti +3 more
semanticscholar +5 more sources
A mathematical analysis of the axial anomaly [PDF]
Letters in Mathematical Physics, 2018 As is well known to physicists, the axial anomaly of the massless free fermion in Euclidean signature is given by the index of the corresponding Dirac operator. We use the Batalin-Vilkovisky (BV) formalism and the methods of equivariant quantization of Costello and Gwilliam to produce a new, mathematical derivation of this result.
Eugene Rabinovich, Eugene Rabinovich
openaire +6 more sources
Project-based learning in training IT-personnel for the digital economy [PDF]
E3S Web of Conferences, 2023 The purpose of the study is to modernize IT personnel training to enhance the development of the digital economy by means of project-based learning methods. The objectives of the study are to harmonize the educational process with the needs of production
Balandin Dmitry +2 more
doaj +1 more source
Monte Carlo solution of heat conductivity problems with quadratic nonlinearity on the boundary of domain [PDF]
E3S Web of Conferences, 2023 In this work, we study the approach connected with branching Markov processes. Branching Markov random processes are created to solve boundary-value problems (BVR) with polynomial nonlinearities.
Rasulov Abdujabar +2 more
doaj +1 more source
Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning
IEEE Access, 2021 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
doaj +1 more source
Special Issue “Statistical Data Modeling and Machine Learning with Applications II”
Mathematics, 2023 Currently, we are witnessing rapid progress and synergy between mathematics and computer science [...]
Snezhana Gocheva-Ilieva +2 more
doaj +1 more source
Stability analysis of the coexistence equilibrium of a balanced metapopulation model
Scientific Reports, 2021 We analyze the stability of a unique coexistence equilibrium point of a system of ordinary differential equations (ODE system) modelling the dynamics of a metapopulation, more specifically, a set of local populations inhabiting discrete habitat patches ...
Shodhan Rao +2 more
doaj +1 more source
Mathematics. 2023; 11(12):2670, 2023 A solution is given to a problem discussed by Brigati, Dolbeault, and Simonov [arXiv:2302.03926].
arxiv +1 more source
Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
Fractal and Fractional, 2022 In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov +2 more
doaj +1 more source
Disentangling the Information in Species Interaction Networks
Entropy, 2021 Shannon’s entropy measure is a popular means for quantifying ecological diversity. We explore how one can use information-theoretic measures (that are often called indices in ecology) on joint ensembles to study the diversity of species interaction ...
Michiel Stock +2 more
doaj +1 more source