Metric geometry | Functions and mappings | Symmetry | Equivalence (mathematics) | Riemannian geometry
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective. The word isometry is derived from the Ancient Greek: ἴσος isos meaning "equal", and μέτρον metron meaning "measure". (Wikipedia).
23 Algebraic system isomorphism
Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.
From playlist Abstract algebra
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
Group Isomorphisms in Abstract Algebra
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit
From playlist Abstract Algebra
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
👉 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
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
How To Construct An Isosceles Triangle
Complete videos list: http://mathispower4u.yolasite.com/ This video will show how to construct an isosceles triangle with a compass and straight edge.
From playlist Triangles and Congruence
How to determine the measure of an isosceles triangle ex 11
👉 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
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
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
Geometry - Isometries and orthogonal matrices: Oxford Mathematics 1st Year Student Lecture
This is the second lecture we are showing from Derek Moulton's first-year Geometry course. This lecture provides an introduction to the concept of isometry, by which we mean a map from vector space to vector space that preserves distances. It outlines some basic ideas and makes the importa
From playlist Oxford Mathematics 1st Year Student Lectures
Lie Groups and Lie Algebras: Lesson 9 - The Classical Groups Part VII
Lie Groups and Lie Algebras: Lesson 9 - The Classical Groups Part VII First, we review the idea of volume-preserving transformations and metric preserving transformations. Then we begin our examination of the canonical structure of certain metrics. That is, we look at how certain types of
From playlist Lie Groups and Lie Algebras
Equivalent conditions for an operator to be an isometry. Description of isometries when the scalar field is the field of complex numbers.
From playlist Linear Algebra Done Right
Symmetric spaces (Lecture – 02) by Pralay Chatterjee
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Atomistically inspired origami
Oxford Mathematics Public Lectures - Richard James - Atomistically inspired origami The World population is growing at about 80 million per year. As time goes by, there is necessarily less space per person. Perhaps this is why the scientific community seems to be obsessed with folding t
From playlist Oxford Mathematics Public Lectures
Crossed Products and Coding Theory by Yuval Ginosar
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Isometries on Real Inner Product Spaces
Description of isometries on real inner product spaces as direct sums of the identity operator, the negative of the identity operator, and rotations on subspaces of dimension 2.
From playlist Linear Algebra Done Right
Symmetric spaces (Lecture – 01) by Pralay Chatterjee
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
how to find the measure of x using 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