Dyadic transformation

Symmetrization

In this video, I define a cool operation called the symmetrization, which turns any matrix into a symmetric matrix. Along the way, I also explain how to show that an (abstract) linear transformation is one-to-one and onto. Finally, I show how to decompose and matrix in a nice way, sort of

From playlist Linear Transformations

Sketch a Linear Transformation of a Unit Square Given the Transformation Matrix (Shear)

This video explains 2 ways to graph a linear transformation of a unit square on the coordinate plane.

From playlist Matrix (Linear) Transformations

How to translate a triangle using a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

Math 060 Linear Algebra 12 100614: Change of Basis, ct'd.

Change of bases in abstract vector spaces; transition matrix from one basis to another; example of determining and using the transition matrix; transition matrices are invertible; invertible matrices can be realized as transition matrices

From playlist Course 4: Linear Algebra

What is a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

On the dyadic Hilbert transform – Stefanie Petermichl – ICM2018

Analysis and Operator Algebras Invited Lecture 8.10 On the dyadic Hilbert transform Stefanie Petermichl Abstract: The Hilbert transform is an average of dyadic shift operators. These can be seen as a coefficient shift and multiplier in a Haar wavelet expansion or as a time shifted operat

From playlist Analysis & Operator Algebras

Geometric Transformations

We discuss how "geometric transformations" (rotations, stretching, reflection) can be represented by matrices. We also briefly introduce the idea of "point matrices" and their application in computer graphics.

From playlist Mathematical Physics I Uploads

Gerard Cornuejols: Dyadic linear programming

A finite vector is dyadic if each of its entries is a dyadic rational number, i.e. if it has an exact floating point representation. We study the problem of finding a dyadic optimal solution to a linear program, if one exists. This is joint work with Ahmad Abdi, Bertrand Guenin and Levent

From playlist Workshop: Continuous approaches to discrete optimization

Ben Jaye: Reflectionless measures for singular integral operators

The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 15.7.2014

From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

What is a reduction dilation

👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha

From playlist Transformations

On the (unreasonable) effectiveness of compressive imaging – Ben Adcock, Simon Fraser University

This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai

From playlist Mathematics of data: Structured representations for sensing, approximation and learning

Po Lam Yung: A new twist on the Carleson operator

The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 16.7.2014

From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

Tuomas Hytonen: Two-weight inequalities meet R-boundedness

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Analysis and its Applications

Discover the Future of Graph Neural Networks | Beyond message passing

The next step for Graph Neural Networks (GNN). Based on their underlying topological spaces, they operate on. Graphs are per definition DYADIC Systems. The future of GNN explained. MY other videos on Graph Neural Networks (as mentioned): https://youtu.be/11bAAy8b4sI https://youtu.be/dBeYB

From playlist Learn Graph Neural Networks: code, examples and theory

"Mandelbrot cascades and their uses" - Anti Kupiainen

Anti Kupiainen University of Helsinki November 4, 2013 For more videos, check out http://www.video.ias.edu

From playlist Mathematics

MAST30026 Lecture 5: Minkowski space and special relativity (Part 2)

In this second part of the two lectures on special relativity, we completed the derivation of the Lorentz group from the postulates of special relativity, I introduced Minkowski space, and explained how if we were to continue on to general relativity (which we won't, in this course) we wou

From playlist MAST30026 Metric and Hilbert spaces

Congruence Transformations (1 of 3: Translation)

From playlist Basic Properties of Geometrical Figures

Shifting a triangle using a transformation vector

👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up, down, left or right. The orientation and size of the fi

From playlist Transformations

Change of Matrix

Suppose you have two bases of the same space and the matrix of a linear transformation with respect to one bases. In this video, I show how to find the matrix of the same transformation with respect to the other basis, without ever having to figure out what the linear transformation does!

From playlist Linear Transformations

Finding better randomness

Distinguished Visitor Lecture Series Finding better randomness Theodore A. Slaman University of California, Berkeley, USA

From playlist Distinguished Visitors Lecture Series