Group actions in abstract algebra
In this first video on group actions, I use an example of some previous work on the symmetric group to give you some intuition about group actions. Beware when reading your textbook. It is probably unnecessary difficult just due to the dot notation that is used when describing group acti
From playlist Abstract algebra
In this video I demonstrate an example of a non-faithful group actions, where the identity permutation is actually mapped to by all the elements in the group set. Another example shows you how group actions involving a group set on itself gives rise to group element composition as we see
From playlist Abstract algebra
Abstract Algebra: Group actions are defined as a formal mechanism that describes symmetries of a set X. A given group action defines an equivalence relation, which in turn yields a partition of X into orbits. Orbits are also described as cosets of the group. U.Reddit course materials a
From playlist Abstract Algebra
Visual Group Theory, Lecture 5.3: Examples of group actions
Visual Group Theory, Lecture 5.3: Examples of group actions It is frequently of interest to analyze the action of a group on its elements (by multiplication), subgroups (by multiplication, or by conjugation), or cosets (by multiplication). We look at all of these, and analyze the orbits,
From playlist Visual Group Theory
What is a Group Action? : A Group as a Category and The Skeleton Operation ☠
This week I try to take a more Categorical approach to answering and expanding upon the question of "what is a group action". Along the way I'll go over thinking about a group as a category and eventually hit on the skeleton operation on a category and use it to present an example of the c
From playlist The New CHALKboard
Visual Group Theory, Lecture 5.1: Groups acting on sets
Visual Group Theory, Lecture 5.1: Groups acting on sets When we first learned about groups as collections of actions, there was a subtle but important difference between actions and configurations. This is the tip of the iceberg of a more general and powerful concept of a group action. Ma
From playlist Visual Group Theory
Group action proofs in abstract algebra
This video follows from the previous one, in which we developed an intuitive understanding of group actions by way of an example. In this video I want to spend a few minutes on the proofs that connect the elements in a group set with the permutations of another set.
From playlist Abstract algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Neuroscience in the Wolfram Language
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Keiko Hirayama Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, an
From playlist Wolfram Technology Conference 2017
Understanding and Visualizing ResNets that Forever Revolutionized Deep Learning
In December 2015, a published paper rocked the deep learning world. This paper is widely regarded as one of the most influential papers in modern deep learning and has been cited over 110,000 times. The name of this paper was Deep Residual Learning for Image Recognition (aka, the ResNet pa
From playlist Fundamentals of Machine Learning
Twitch Talks - Biological & Medical Entities
Presenters: Keiko Hirayama and John Cassel Wolfram Research developers demonstrate the new features of Version 12 of the Wolfram Language that they were responsible for creating. Previously broadcast live on July 11, 2019 at twitch.tv/wolfram. For more information, visit: https://www.wolf
From playlist Twitch Talks
Tutorial 1: Leyla Isik - Introduction to Visual Neuroscience
MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 View the complete course: https://ocw.mit.edu/RES-9-003SU15 Instructor: Leyla Isik Structure of neurons and how they communicate information, brain anatomy and dorsal/ventral visual pathways, and methods for probing the b
From playlist MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015
Group Theory for Physicists (Definitions with Examples)
In this video, we cover the most basic points that a physicist should know about group theory. Along the way, we'll give you lots of examples that illustrate each step. 00:00 Introduction 00:11 Definition of a Group 00:59 (1) Closure 01:34 (2) Associativity 02:02 (3) Identity Element 03:
From playlist Mathematical Physics
"Tour on Equations that Model Cardiac Electrical Activity, and some Related Numerical Difficulties"
by Yves Coudière (CARMEN, INRIA, University of Bordeaux, France)
From playlist Mathematical Biology
The Nervous System, Part 3 - Synapses!: Crash Course Anatomy & Physiology #10
We continue our tour of the nervous system by looking at synapses and the crazy stuff cocaine does to your brain. Pssst... we made flashcards to help you review the content in this episode! Find them on the free Crash Course App! Download it here for Apple Devices: https://apple.co/3d4ey
From playlist Anatomy & Physiology
ANATOMY FOR ARTISTS: Living Anatomy-Hands
Marc describes and draws three drawings of hands and narrates the anatomical intent and areas of interest for drawing.
From playlist ANATOMY FOR ARTISTS
Crash Course Office Hours: Anatomy & Physiology
Welcome to Crash Course Office Hours! Is the heart an organ? How does the nervous system work? In this livestream, Hank Green and Brandon Jackson answer the questions you submitted and talk about the best ways to study anatomy & physiology. Thank you to Flipgrid for sponsoring this serie
From playlist Anatomy & Physiology
Neuronal Pools and Neural Processing
Ok, so we now have a pretty solid understanding of neuronal structure, as well as the action potential and synapses, so we understand how information gets from one neuron to the next. But that's just the tip of the iceberg. How are neurons organized? When we zoom out, what patterns do smal
From playlist Biopsychology
From currents to oriented varifolds for data fidelity (...) - Kaltenmark - Workshop 2 - CEB T1 2019
Irène Kaltenmark (Univ. Bordeaux) / 14.03.2019 From currents to oriented varifolds for data fidelity metrics; growth models for computational anatomy. In this talk, I present a general setting that extends the previous frameworks of currents and varifolds for the construction of data fi
From playlist 2019 - T1 - The Mathematics of Imaging
Visual Group Theory, Lecture 1.6: The formal definition of a group
Visual Group Theory, Lecture 1.6: The formal definition of a group At last, after five lectures of building up our intuition of groups and numerous examples, we are ready to present the formal definition of a group. We conclude by proving several basic properties that are not built into t
From playlist Visual Group Theory