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Video
Models arising in biology are often written in terms of Ordinary Differential Equations. The celebrated paper of Kermack-McKendrick (19271, founding mathematical epidemiology, showed the necessity to include parameters in order to describe the state of the individuals, as time elapsed after infection. During the 70s, many mathematical studies were developed when equations are structured by age, size, more generally a physiological trait. The renewal, growth-fragmentation are the more standard equations. The talk will present structured equations, show that a universal generalized relative entropy structure is available in the linear case, which imposes relaxation to a steady state under non-degeneracy conditions. In the nonlinear cases, it might be that periodic solutions occur, which can be interpreted in biological terms, e.g., as network activity in the neuroscience. When the equations are conservation laws, a variant of the Monge-Kantorovich distance (called Fortet-Mourier distance) also gives a general non-expansion property of solutions.
Event date: 19/1/2023
Speaker: Prof. Benoît Perthame (Sorbonne University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics and Biology
- Keywords:
- Biomathematics Equations
- Resource Type:
- Video
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Video
This channel contains a complete list of physics videos, as well as hundreds of chemistry, astronomy, math, and mechanical engineering videos. The physics videos explain the fundamental concepts of physics with some easy to follow examples on how to solve physics problems. The chemistry videos cover all the basic topics of chemistry, the astronomy videos explain the wonders of Earth and our Universe, and the math videos cover many topics in algebra, trigonometry, pre-calculus, calculus and differential equations.
- Subjects:
- Mechanical Engineering, Physics, Mathematics and Statistics, Electrical Engineering, Chemistry, and Cosmology and Astronomy
- Keywords:
- Physics Mechanical engineering Astronomy Kalman filtering Mathematics Electrical engineering Chemistry
- Resource Type:
- Video
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e-journal
In this journal platform, you can find the articles which published under the Creative Commons Attribution-NonCommercial 4.0 International License. The journal covers a various disciplines, including:
Biomedical & Life Sciences
Business & Management
Chemistry & Material Science
Computer & Communications
Earth & Environmental Science
Engineering
Humanities
Physics & Mathematics
Social Sciences
- Subjects:
- Computing, Data Science and Artificial Intelligence, Chemistry, Management, Environmental Sciences, Biology, Physics, and Mathematics and Statistics
- Keywords:
- Chemistry Management Environmental sciences Physics Industrial management Mathematics Social Sciences Engineering Humanities Computer science Biology
- Resource Type:
- e-journal
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e-journal
Maxwell Scientific Publication Corp. operates as an independent science and technology publisher with a global reputation for quality products and services to contribute to the advancement of research knowledge. In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Agricultural Sciences
Business Management & Economics Computer & Information Technology
Engineering
Food Science and Technology
Mathematics
Medicines
Social Sciences
- Subjects:
- Computing, Data Science and Artificial Intelligence, Economics, Management, Environmental Sciences, Biology, Physics, Health Sciences, Mathematics and Statistics, Chemistry, Medicine, and Food Science
- Keywords:
- Food industry trade Economics Social sciences Statistics Science Agriculture Technology Food science Fisheries Industrial management Mathematics Periodicals Life sciences Dairying Engineering Environmental sciences Aquatic sciences Information technology Medicine
- Resource Type:
- e-journal
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e-journal
In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Biomedical & Life Science
Business & Economics
Chemistry & Materials Science
Computer Science & Communication
Earth & Environmental Science
Engineering
Medicine & Healthcare
Physics & Mathematics
Social Science & Humanities
- Subjects:
- Computing, Data Science and Artificial Intelligence, Economics, Environmental Sciences, Biology, Physics, Health Sciences, Mathematics and Statistics, and Chemistry
- Keywords:
- Materials science Chemistry Social sciences Science Technology Physics Industrial management Mathematics Periodicals Life sciences Engineering Computer science Economics Environmental sciences Medicine
- Resource Type:
- e-journal
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e-journal
In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Biological Sciences
Medicine
Case Reports
Physical Sciences
Social Sciences and Education
Mathematics, Engineering, and Computer Science
- Subjects:
- Computing, Data Science and Artificial Intelligence, Chemistry, Biology, Physics, Medicine, and Mathematics and Statistics
- Keywords:
- Social sciences Science Biology Physics Physical sciences Mathematics Education Periodicals Engineering Computer science Technology Environmental sciences Medicine
- Resource Type:
- e-journal
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e-journal
Estonian Academy Publishers issues seven open access scientific journals, peer-reviewed, indexed and abstracted in international review publications and databases. All journals have an international Editorial board. Publications of the Estonian Academy Publishers cover almost all important areas of contemporary science. Our journals are peer reviewed and recognized by the Estonian Research Council and the Estonian Committee of Science Compentence as journals meeting international scientific standards.
- Subjects:
- Mathematics and Statistics, Chemistry, Archeology, Environmental Sciences, Biology, Physics, and Foreign Language Learning
- Keywords:
- Chemistry Uralic languages Social sciences Science History Technology Archaeology Physics Mathematics Geology Periodicals Ecology Humanities Engineering Europe -- Baltic Sea Region
- Resource Type:
- e-journal
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Video
In 44 episodes, Adriene Hill teaches you Statistics! This course is based on the 2018 AP Statistics curriculum and introduces everything from basic descriptive statistics to data collection to hot topics in data analysis like Big Data and neural networks. By the end of the course, you will be able to: *Identify questions that can be answered using statistics *Describe patterns, trends, associations, and relationships in data both numerically and graphically *Justify a conclusion using evidence from data, definitions, or statistical inference *Apply statistical models to make inferences and predictions from data sets *Understand how statistics are used broadly in the world and interpret their meaning, like in newspapers or scientific studies Learning playlist
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics
- Resource Type:
- Video
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Others
Numerical methods are techniques to approximate mathematical procedures (e.g., integrals). Approximations are needed because we either cannot solve the procedure analytically (e.g., the standard normal cumulative distribution function) or because the analytical method is intractable (e.g., solving a set of a thousand simultaneous linear equations for a thousand unknowns). By end of this course, participants will be able to apply the numerical methods for the following mathematical procedures and topics: differentiation, nonlinear equations, and simultaneous linear equations, interpolation, regression, integration, and ordinary differential equations. Additionally, they will be able to calculate errors and implement their relationship to the accuracy of the numerical solutions. To be prepared for this course, students should have a passing grade in introductory physics, integral calculus, differential calculus, and ordinary differential equations.
- Course related:
- BSE3302 Computer Methods in Building Services Engineering
- Subjects:
- Mathematics and Statistics
- Keywords:
- Numerical analysis Numerical calculations
- Resource Type:
- Others
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Courseware
Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral transforms.
- Subjects:
- Physics and Mathematics and Statistics
- Keywords:
- Mathematical physics Physics
- Resource Type:
- Courseware