This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
After our introduction to matrices and vectors and our first deeper dive into matrices, it is time for us to start the deeper dive into vectors. Vector spaces can be vectors, matrices, and even function. In this video I talk about vector spaces, subspaces, and the porperties of vector sp
From playlist Introducing linear algebra
What is a Vector Space? Definition of a Vector space.
From playlist Linear Algebra
Math 139 Fourier Analysis Lecture 16: Basic Properties of the Fourier Transform
Fourier transform on Schwartz class functions. Interaction of Fourier transform with translations, etc.; closure of Schwartz class under Fourier transform. The Gaussian: definition; Gaussian is preserved by Fourier transform.
From playlist Course 8: Fourier Analysis
What is a Vector Space? (Abstract Algebra)
Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su
From playlist Abstract Algebra
The formal definition of a vector space.
From playlist Linear Algebra Done Right
From playlist Contributed talks One World Symposium 2020
A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis
We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start
From playlist The New CHALKboard
Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric
From playlist Topology
Hans Feichtinger: Fourier Analysis via the Banach Gelfand Triple
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In this MATLAB-based presentation the author will explain how one can understand and illustrate the foundations of Gabor analysis with the help of MATLAB. From the point of view
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Nathan Dunfield, Lecture 2: A Tale of Two Norms
33rd Workshop in Geometric Topology, Colorado College, June 10, 2016
From playlist Nathan Dunfield: 33rd Workshop in Geometric Topology
Maryna Viazovska - 2/6 Automorphic Forms and Optimization in Euclidean Space
Hadamard Lectures 2019 The goal of this lecture course, “Automorphic Forms and Optimization in Euclidean Space”, is to prove the universal optimality of the E8 and Leech lattices. This theorem is the main result of a recent preprint “Universal Optimality of the E8 and Leech Lattices and I
From playlist Hadamard Lectures 2019 - Maryna Viazovska - Automorphic Forms and Optimization in Euclidean Space
Nigel Higson: Real reductive groups, K-theory and the Oka principle
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 29.4.2015
From playlist HIM Lectures 2015
Michael Farber (2/24/22): Topological complexity of spherical bundles
I will start by describing the concept of a parametrized motion planning algorithm which allows to achieve high degree of flexibility and universality. The main part of the talk will focus on the problem of understanding the parametrized topological complexity of sphere bundles. I will exp
From playlist Topological Complexity Seminar
Sheel Ganatra: The Floer theory of a cotangent bundle, the string topology of the base and...
Find 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, bibliographies,
From playlist Jean-Morlet Chair - Lalonde/Teleman
Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 1
Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 1: Background on von Neumann algebras. Abstract: We’ll briskly review basic properties of semi-finite von Neumann algebras. The standard representation, completely positive maps, group von Neumann algebras, th
From playlist YMC*A 2021
Séminaire Bourbaki 08/11/2014 - Aurélien Djament 2/4
" La propriété noethérienne pour les foncteurs entre espaces vectoriels " [d'après A. Putman, S. Sam et A. Snowden] Les bases de Gröbner permettent de démontrer le théorème de la base de Hilbert, en ramenant le caractère noethérien à une propriété combinatoire d'ensembles ordonnés. A. P
From playlist Bourbaki - 08 novembre 2014
Now we know about vector spaces, so it's time to learn how to form something called a basis for that vector space. This is a set of linearly independent vectors that can be used as building blocks to make any other vector in the space. Let's take a closer look at this, as well as the dimen
From playlist Mathematics (All Of It)
Complex hyperbolic representations of triangle groups by John Parker
SURFACE GROUP REPRESENTATIONS AND GEOMETRIC STRUCTURES DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures