Elliptic curves: point at infinity in the projective plane
This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-
From playlist Elliptic Curves - Number Theory and Applications
Definition of infinity In this video, I define the concept of infinity (as used in analysis), and explain what it means for sup(S) to be infinity. In particular, the least upper bound property becomes very elegant to write down. Check out my real numbers playlist: https://www.youtube.co
From playlist Real Numbers
This video provides a description of infinity with several examples. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
What is a point a line and a plane
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
Easy steps to label and draw crystal planes with Miller Indices
Tutorial example solutions for labeling and drawing crystal planes with Miller Indices. In addition, we show why you can select any origin or convert planes to smallest integers using crystal diagram software VESTA
From playlist MSE example problems tutorial
Complex Analysis: Residue At Infinity
Today, we take a look an interesting concept called the residue at infinity.
From playlist Contour Integration
Math 101 Introduction to Analysis 09 092017 The Extended Real Number System; Sequences
Extended real number system as a set; as an ordered set. Comment: all nonempty subsets have least upper bounds. Is not a field. Conventions. Definition of a sequence. Examples of sequences.
From playlist Course 6: Introduction to Analysis (Fall 2017)
This lecture continues our discussion of the sphere, relating inversive geometry on the plane to the more fundamental inversive geometry of the sphere, introducing the Riemann sphere model of the complex plane with a point at infinity. Then we discuss the sphere as the projective line ove
From playlist Algebraic Topology: a beginner's course - N J Wildberger
PGA Ep 3 : Revenge of Infinity
Episode 3 of 6 of the SIBGRAPI2021 tutorial on Projective Geometric Algebra All the details in the writeup at https://bivector.net/PGADYN.html All demos and implementation details at https://enki.ws/ganja.js/examples/pga_dyn.html
From playlist PGA Tutorial SIBGRAPI2021
Danny Calegari: Big Mapping Class Groups - lecture 3
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
Hyperbolic Knot Theory (Lecture - 1) by Abhijit Champanerkar
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
The well behaved infinity (Möbius maps and flows) #PaCE1
A fresh way to see spacetime symmetries. What makes an infinity well behaved? What does it mean to add together transformations? Chapters 0:00 Spacetime symmetries as Möbius maps 2:08 Stereographic projection/the point at infinity 3:27 Möbius maps 5:25 Even flow 7:02 x-rotations, complexl
From playlist Summer of Math Exposition 2 videos
Anna Miriam Benini: Polynomial versus transcendental dynamics
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Dynamical Systems and Ordinary Differential Equations
B. Riemann and the complex sphere | Sociology and Pure Mathematics | N J Wildberger
Bernhard Riemann was a major pioneer in several important areas of mathematics, and in particular he helped develop a theory of higher dimensional spaces and how to view them metrically, made important advances in complex analysis and what became known as Riemann surfaces, and of course he
From playlist Sociology and Pure Mathematics
How to visualize infinity in concrete terms.
From playlist Summer of Math Exposition 2 videos