Scale analysis (or order-of-magnitude analysis) is a powerful tool used in the mathematical sciences for the simplification of equations with many terms. First the approximate magnitude of individual terms in the equations is determined. Then some negligibly small terms may be ignored. (Wikipedia).
An introduction to the idea of Dimensional Analysis
From playlist Mathematical Physics I Uploads
We introduce the idea of dimensional analysis and its use in finding unknown quantities' dependence on relevant dimensionful variables.
From playlist Mathematical Physics I Uploads
21 Spatial Data Analytics: Spatial Scale
Subsurface modeling course lecture on scale.
From playlist Spatial Data Analytics and Modeling
What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
This video shows how to use scale to determine the dimensions of a proportional model. http://mathispower4u.yolasite.com/
From playlist Unit Scale and Scale Factor
Absolute versus relative measurements in geometry | Rational Geometry Math Foundations 134
In science and ordinary life, the distinction between absolute and relative measurements is very useful. It turns out that in mathematics this is also an important distinction. We must be prepared that some aspects of mathematics are more naturally measured relatively, rather than absolute
From playlist Math Foundations
In this video, I give a general (and non-technical) overview of the topics covered in an elementary complex analysis course, which includes complex numbers, complex functions, the Cauchy-Riemann equations, Cauchy’s integral formula, residues and poles, and many more! Watch this video if yo
From playlist Complex Analysis
How to Find Scale Factor with Similar Figures
Learn how to find the scale factor with similar figures in this free math video tutorial by Mario's Math Tutoring. 0:13 Explaining How the Order is Important for the Scale Factor 0:26 Formula for Finding the Scale Factor 1:09 Explanation if the Scale Factor is an Enlargement or a Reductio
From playlist Geometry
Data Science - Part XVI - Fourier Analysis
For downloadable versions of these lectures, please go to the following link: http://www.slideshare.net/DerekKane/presentations https://github.com/DerekKane/YouTube-Tutorials This lecture provides an overview of the Fourier Analysis and the Fourier Transform as applied in Machine Learnin
From playlist Data Science
The Abel Prize announcement 2017 - Yves Meyer
0:45 The Abel Prize announced by Ole M. Sejersted, President of The Norwegian Academy of Science and Letters 2:06 Citation by John Rognes, Chair of the Abel committee 6:49 Popular presentation of the prize winners work by professor Terrence Tao 25:19 Phone interview with Yves Meyer 37:12 C
From playlist The Abel Prize announcements
Motivations, connections and scope of the workshop - Avi Wigderson
Optimization, Complexity and Invariant Theory Topic: Motivations, connections and scope of the workshop Speaker: Avi Wigderson Affiliation: Institute for Advanced Study Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Optimization, Complexity and Invariant Theory
Stéphane Mallat: A Wavelet Zoom to Analyze a Multiscale World
Abstract: Complex physical phenomena, signals and images involve structures of very different scales. A wavelet transform operates as a zoom, which simplifies the analysis by separating local variations at different scales. Yves Meyer found wavelet orthonormal bases having better propertie
From playlist Abel Lectures
Panorama of Mathematics: Alfio Quarteroni
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Alfio Quarteroni: "Reduced
From playlist Panorama of Mathematics
Study and research paths: A model for inquiry – Marianna Bosch Casabò – ICM2018
Mathematics Education and Popularization of Mathematics Invited Lecture 18.2 Study and research paths: A model for inquiry Marianna Bosch Casabò Abstract: This paper presents a line of research in didactics of mathematics developed during the past decade within the Anthropological Theory
From playlist Mathematics Education and Popularization of Mathematics
Analysis and methods for multiscale kinetic equations with uncertainties – S. Jin – ICM2018
Numerical Analysis and Scientific Computing | Mathematics in Science and Technology Invited Lecture 15.4 | 17.4 Mathematical analysis and numerical methods for multiscale kinetic equations with uncertainties Shi Jin Abstract: Kinetic modeling and computation face the challenges of multip
From playlist Numerical Analysis and Scientific Computing
Fellow Short Talks: Dr Carola-Bibiane Schönlieb, Cambridge University
Carola-Bibiane Schönlieb is a Reader in Applied and Computational Analysis at the Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge since 2015. There, she is head of the Cambridge Image Analysis group, Director of the Cantab Capital Institute for Ma
From playlist Short Talks
"Optimization, Complexity and Math ... using Gradient" - Knuth Prize Lecture, STOC 2019
More videos on http://video.ias.edu
From playlist Mathematics
Stanford Seminar - On the Origin of Experience: The Shaping of Sense and the Complex World
"On the Origin of Experience: The Shaping of Sense and the Complex World" -Steven Ericsson-Zenith Colloquium on Computer Systems Seminar Series (EE380) presents the current research in design, implementation, analysis, and use of computer systems. Topics range from integrated circuits to
From playlist Engineering
Data Driven Methods for Complex Turbulent Systems ( 3 ) - Andrew J. Majda
Lecture 3: Data Driven Methods for Complex Turbulent Systems Abstract: An important contemporary research topic is the development of physics constrained data driven methods for complex, large-dimensional turbulent systems such as the equations for climate change science. Three new approa
From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology
Using Dimensional Analysis to Find the Units of a Constant
This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t
From playlist Metric Units