C*-algebras | Operator theory | Semigroup theory
In functional analysis a partial isometry is a linear map between Hilbert spaces such that it is an isometry on the orthogonal complement of its kernel. The orthogonal complement of its kernel is called the initial subspace and its range is called the final subspace. Partial isometries appear in the polar decomposition. (Wikipedia).
Organic Chemistry - Ch 1: Basic Concepts (19 of 97) What is an Optical Isomer?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an optical isomer: a mirror image of another. There are 2 types. Achiral-when the 2 are superimposable, and chiral-molecules that exhibit handedness. Next video in this series can be
From playlist ORGANIC CHEMISTRY CH1 INTRODUCTION
What are Isomorphic Graphs? | Graph Isomorphism, Graph Theory
How do we formally describe two graphs "having the same structure"? The term for this is "isomorphic". Two graphs that have the same structure are called isomorphic, and we'll define exactly what that means with examples in today's video graph theory lesson! Check out the full Graph Theor
From playlist Graph Theory
From playlist Geometry: Dynamic Interactives!
This geometry video tutorial provides a basic introduction into isosceles trapezoids. It discusses the basic properties of isosceles trapezoids. The bases are parallel and the legs are congruent. The lower base angles are congruent and the upper base angles are congruent. The lower bas
From playlist Geometry Video Playlist
👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
Find the missing measure of angles for an isosceles triangle
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Using the Isosceles triangle theorem to find the measure of x
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Isomorphisms in abstract algebra
In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4
From playlist Abstract algebra
Karen Vogtmann: The geometry and topology of automorphism groups of free groups
HYBRID EVENT Recorded during the meeting "Groups Acting on Fractals" the April 11, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Topology
Change of Variables in Integration in R^n
If S is an isometry, then |det S| = 1. If T is an operator on R^n, then T changes volume by a factor of |det T|. This result leads to the change of varibales formula in integration in R^n.
From playlist Linear Algebra Done Right
Modified Navier–Stokes and Decision Process Theory
As a next step in investigating decision process theory, Jerry Thomas considers steady-state non-streamline solutions to a 3D model. The equations are modified Navier–Stokes equations. Using NDSolve, he shows that these steady-state solutions are not dissimilar to fluid flow solutions desp
From playlist Wolfram Technology Conference 2020
Optimized quantum f-divergences and data processing - M. Wilde - Main Conference - CEB T3 2017
Mark Wilde (Baton Rouge) / 11.12.2017 Title: Optimized quantum f-divergences and data processing Abstract: The quantum relative entropy is a measure of the distinguishability of two quantum states, and it is a unifying concept in quantum information theory: many information measures such
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Lecture 15: Isometries, Rigidity, and Curvature
CS 468: Differential Geometry for Computer Science
From playlist Stanford: Differential Geometry for Computer Science (CosmoLearning Computer Science)
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
What is an angle and it's parts
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - M.Brannan
Michael Brannan (College station) / 12.09.17 Title: Entangled subspaces from quantum groups and their associated quantum channels. Abstract:I will describe a class of highly entangled subspaces of bipartite quantum systems arising from the representation theory of a class of compact quan
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Parallel session 4 by Jens Heber
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
Holger Rauhut: Compressive sensing with time-frequency structured random matrices
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 30 years of wavelets
"Appreciate that base angles of an isosceles triangle are equal."
From playlist Shape: Angles