What is a metric space? An example
This is a basic introduction to the idea of a metric space. I introduce the idea of a metric and a metric space framed within the context of R^n. I show that a particular distance function satisfies the conditions of being a metric.
From playlist Mathematical analysis and applications
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
Weird notions of "distance" || Intro to Metric Spaces
Visit https://brilliant.org/TreforBazett/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor Weird, fun
From playlist Cool Math Series
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
Graph vs Euclidean metric - Itai Benjamini
Conference on Graphs and Analysis Itai Benjamini June 7, 2012 More videos on http://video.ias.edu
From playlist Mathematics
In this video we define a metric space. - Please note that a portion of this video has been removed due to an error. 0:00 - Distance function 4:01 - Metric Space (definition) The product links below are Amazon affiliate links. If you buy certain products on Amazon soon after clicking th
From playlist Approximation Theory
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
Alex Wright - Minicourse - Lecture 1
Alex Wright Dynamics, geometry, and the moduli space of Riemann surfaces We will discuss the GL(2,R) action on the Hodge bundle over the moduli space of Riemann surfaces. This is a very friendly action, because it can be explained using the usual action of GL(2,R) on polygons in the plane
From playlist Maryland Analysis and Geometry Atelier
Metric Spaces - Lectures 17 & 18: Oxford Mathematics 2nd Year Student Lecture
For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex Analysis course. This is the 9th of 11 videos. The course is about the notion of distance. You ma
From playlist Oxford Mathematics Student Lectures - Metric Spaces
The KL Divergence : Data Science Basics
understanding how to measure the difference between two distributions Proof that KL Divergence is non-negative : https://www.youtube.com/watch?v=LOwj7UxQwJ0&t=520s My Patreon : https://www.patreon.com/user?u=49277905 0:00 How to Learn Math 1:57 Motivation for P(x) / Q(x) 7:21 Motivation
From playlist Data Science Basics
Tensor Calculus Lecture 7b: Relative Tensors
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
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
Dimensional Analysis 2: Metric Conversions
Craig Beals shows the basic steps of using dimensional analysis for converting units in metrics.
From playlist Chemistry - Introduction to Chemistry Math Problems
What is General Relativity? Lesson 47: The double dual of the Riemann tensor
What is General Relativity? Lesson 47: The double dual of the Riemann Tensor The double dual of the Riemann tensor is an obscure object but it gives us a chance to quickly review 2-forms. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discuss
From playlist What is General Relativity?
David Meyer (1/30/18): Some algebraic stability theorems for generalized persistence modules
From an algebraic point of view, generalized persistence modules can be interpreted as finitely-generated modules for a poset algebra. We prove an algebraic analogue of the isometry theorem of Bauer and Lesnick for a large class of posets. This theorem shows that for such posets, the int
From playlist AATRN 2018
Ali Chamseddine - 1/4 Spectral Geometric Unification
A brief introduction to noncommutative geometry with emphasis on the essential tools used in physics.
From playlist Ali Chamseddine - Spectral Geometric Unification
MAST30026 Lecture 2: Examples of spaces (Part 1)
I started with the definition of a metric space, we briefly discussed the example of Euclidean space (proofs next time) and then I started to explain a few natural metrics on the circle. Lecture notes: http://therisingsea.org/notes/mast30026/lecture2.pdf The class webpage: http://therisin
From playlist MAST30026 Metric and Hilbert spaces