Graph operations | Extensions and generalizations of graphs

Rotation map

In mathematics, a rotation map is a function that represents an undirected edge-labeled graph, where each vertex enumerates its outgoing neighbors. Rotation maps were first introduced by Reingold, Vadhan and Wigderson (“Entropy waves, the zig-zag graph product, and new constant-degree expanders”, 2002) in order to conveniently define the zig-zag product and prove its properties.Given a vertex and an edge label , the rotation map returns the 'th neighbor of and the edge label that would lead back to . (Wikipedia).

Video thumbnail

Exploring Rotations in Desmos

Exploring rotations in the coordinate plane with #Desmos. https://teacher.desmos.com/activitybuilder/custom/5f8cebfebc630a2d02e6560f #ImproveMyAB #geometry #RemoteLearning

From playlist Desmos Activities, Illustrations, and How-To's

Video thumbnail

7 Rotation of reference frames

Ever wondered how to derive the rotation matrix for rotating reference frames? In this lecture I show you how to calculate new vector coordinates when rotating a reference frame (Cartesian coordinate system). In addition I look at how easy it is to do using the IPython notebook and SymPy

From playlist Life Science Math: Vectors

Video thumbnail

ʕ•ᴥ•ʔ Simple Example of Geometry Transformations Rotations

Quickly master rotation symmetry and transformation. Watch more lessons like this and try our practice at https://www.studypug.com/geometry/transformations/rotational-symmetry-and-transformations When an object is turned around its center of rotation to certain degrees and the object loo

From playlist Grade 9 Math (Canada)

Video thumbnail

Rotation Matrix

Derivation of the rotation matrix, the matrix that rotates points in the plane by theta radians counterclockwise. Example of finding the matrix of a linear transformation Check out my Linear Equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmD_u31hoZ1D335sSKMvVQ90 Subs

From playlist Linear Equations

Video thumbnail

Rotations in degrees for counter and clockwise directions

👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

Video thumbnail

Determining clockwise vs counter clockwise rotations

👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

Video thumbnail

How does the fixed point affect our rotation

👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

Video thumbnail

What is the difference between rotating clockwise and counter clockwise

👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

Video thumbnail

Prerequisites I: Groups, Representations & Equivariance - Maurice Weiler

Video recording of the First Italian Summer School on Geometric Deep Learning, which took place in July 2022 in Pescara. Slides: https://www.sci.unich.it/geodeep2022/slides/Groups_Representations_and_Equivariance.pdf

From playlist First Italian School on Geometric Deep Learning - Pescara 2022

Video thumbnail

Gabriela Alexandra Estevez Jacinto: Hyperbolicity of renormalization for bi-cubic circle maps...

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

From playlist Dynamical Systems and Ordinary Differential Equations

Video thumbnail

AMMI Course "Geometric Deep Learning" - Lecture 8 (Groups & Homogeneous spaces) - Taco Cohen

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July-August 2021 by Michael Bronstein (Imperial College/Twitter), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 8: Group convolution • Regular

From playlist AMMI Geometric Deep Learning Course - First Edition (2021)

Video thumbnail

Lecture 4: Equivariant CNNs I (Euclidean Spaces) - Maurice Weiler

Video recording of the First Italian School on Geometric Deep Learning held in Pescara in July 2022. Slides: https://www.sci.unich.it/geodeep2022/slides/GroupEquivariantConvolutionalNetworksOnEuclideanSpaces.pdf

From playlist First Italian School on Geometric Deep Learning - Pescara 2022

Video thumbnail

AMMI 2022 Course "Geometric Deep Learning" - Lecture 8 (Groups & Homogeneous spaces) - Taco Cohen

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 8: Group convolution • Regular representation • Spheric

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

Video thumbnail

The well behaved infinity (Möbius maps and flows) #PaCE1

A fresh way to see spacetime symmetries. What makes an infinity well behaved? What does it mean to add together transformations? Chapters 0:00 Spacetime symmetries as Möbius maps 2:08 Stereographic projection/the point at infinity 3:27 Möbius maps 5:25 Even flow 7:02 x-rotations, complexl

From playlist Summer of Math Exposition 2 videos

Video thumbnail

Davoud Cheraghi: Arithmetic geometric models for the renormalisation of irrationally indifferent...

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi

From playlist Virtual Conference

Video thumbnail

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

Video thumbnail

Understanding Area Preserving Disk Maps Through Holomorphic Curves - Barney Bramham

Barney Bramham Institute for Advanced Study December 10, 2010 Predicting the future for a Hamiltonian dynamical system is an old and notoriously difficult problem. I will present some evidence however that in the simplest situation where one iterates an area preserving map on the 2-disk, s

From playlist Mathematics

Related pages

Involution (mathematics) | Mathematics | Rotation system | Zig-zag product