C*-algebras | Operator theory | Semigroup theory

Partial isometry

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).

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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

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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

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Isosceles Trapezoids

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

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What is an isosceles triangle

👉 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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Angles in Isosceles Triangles

"Appreciate that base angles of an isosceles triangle are equal."

From playlist Shape: Angles

Related pages

Francis Joseph Murray | Equivalence relation | Functional analysis | Semigroup with involution | Kernel (algebra) | Polar decomposition | Unitary operator | Isometry | K-theory | Von Neumann algebra | C*-algebra | Orthogonal complement | John von Neumann | Operator algebra