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
This video provides a description of infinity with several examples. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
How to visualize infinity in concrete terms.
From playlist Summer of Math Exposition 2 videos
Touching Infinity: It's Not Out of Reach
The conventional way to represent the Real Number system is to think of the numbers as corresponding to points along an infinite straight line. The problem is that in this representation there is no place for "infinity". Infinity is not a real number. This video shows an alternate visua
From playlist Lessons of Interest on Assorted Topics
Introduction to Cylindrical Coordinates
This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
What is a central angle of a circle
Learn the essential definitions of the parts of a circle. A secant line to a circle is a line that crosses exactly two points on the circle while a tangent line to a circle is a line that touches exactly one point on the circle. A chord is a line that has its two endpoints on the circle.
From playlist Essential Definitions for Circles #Circles
What is the definition of an inscribed angle
Learn the essential definitions of the parts of a circle. A secant line to a circle is a line that crosses exactly two points on the circle while a tangent line to a circle is a line that touches exactly one point on the circle. A chord is a line that has its two endpoints on the circle.
From playlist Essential Definitions for Circles #Circles
Circles are Infinity-Sided Polygons
It's natural to say that a circle is a polygon with infinite sides, so many that they become round and pi pops out. In this video, we explore this notion and how we can prove it.
From playlist Fun
Lecture 13: The Cyclotomic Structure
In this video, we introduce the cyclotomic structure on THH. This is a map from THH to the Tate-C_p-construction of THH. This structure is specific to THH and does not exist on ordinary Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-m
From playlist Topological Cyclic Homology
[Lesson 27.5 optional] QED Prerequisites Scattering 4.5 An application of Cauchy's Theorem
THis is a supplemental lecture to Scattering 4. In this lesson we practice using complex contour integration to evaluate one of the standard integrals used in the development of the formula of stationary phase. This lesson exercises the use of Cauchy's Theorem and Jordan's Lemma. Note: th
From playlist QED- Prerequisite Topics
Lec 10 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 10: Circular convolution Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Lecture 15: TC of F_p (corrected)
In this video, we compute TC of the field F_p with p-elements. As an application of this computation we deduce that THH of F_p-algebras is in a highly compatible fashion an Module over HZ. This relates to fundamental work of Kaledin and has some subtle aspects to it, which we carefully dis
From playlist Topological Cyclic Homology
Lecture 14: The Definition of TC
In this video, we finally give the definition of topological cyclic homology. In fact, we will give two definitions: the first is abstract in terms of a mapping spectrum spectrum in cyclotomic spectra and then we unfold this to a concrete definition on terms of negative topological cyclic
From playlist Topological Cyclic Homology
Ancient solutions to geometric flows III - Panagiota Daskalopoulos
Women and Mathematics: Uhlenbeck Lecture Course Topic: Ancient solutions to geometric flows III Speaker: Panagiota Daskalopoulos Affiliation: Columbia University Date: May 23, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
The circular law for sparse non-Hermitian random matrices by Anirban Basak
Speaker : Anirban Basak, Weizmann Institute of Science, Israel Date : Tuesday, October 10, 2017 Time : 4:00 PM Venue : Madhava Lecture Hall, ICTS Campus, Bangalore Abstract : Sparse matrices are abundant in statistics, neural network, financial modeling, electrica
From playlist ICTS Colloquia
Lecture 31 - Gravitation, part B - Ph1121 Physics - Classical Mechanics
Physics PH 1121 Classical Mechanics - Week 11 Day 1 - gravitation *** Go Full Screen and make sure you click the gear icon and choose HD. Playlist for classical mechanics course: https://www.youtube.com/playlist?list=PL6LNFNTCXeCaDAxx7lxcS4yEK3qFPNvD1
From playlist PH1121
In this video, I use the effective potential to identify the basic properties of circular, elliptical, parabolic, and hyperbolic planetary orbits.
From playlist Intermediate Classical Mechanics
What is General Relativity? Lesson 32(Repaired)
What is General Relativity? Lesson 32: Flyby, bound, plunging, and near orbits (Repaired) This is a repaired version of Lecture 32. The second half is material that was missing from the previous version, which I have removed from circulation. I invite you to download the Catalog of Space
From playlist What is General Relativity?
Introduction to Limits at Infinity (Part 1)
This video introduces limits at infinity. https://mathispower4u.com
From playlist Limits at Infinity and Special Limits