Proof of the Convolution Theorem
Proof of the Convolution Theorem, The Laplace Transform of a convolution is the product of the Laplace Transforms, changing order of the double integral, proving the convolution theorem, www.blackpenredpen.com
From playlist Convolution & Laplace Transform (Nagle Sect7.7)
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Bao Chau Ngo - 3/3 Orbital integrals, moduli spaces and invariant theory
The goal of these lectures is to sketch a general framework to study orbital integrals over equal characteristic local fields by means of moduli spaces of Hitchin type following the main lines of the proof of the fundamental lemma for Lie algebras. After recalling basic elements of the pro
From playlist 2022 Summer School on the Langlands program
David Rydh. Local structure of algebraic stacks and applications
Abstract: Some natural moduli problems, such as moduli of sheaves and moduli of singular curves, give rise to stacks with infinite stabilizers that are not known to be quotient stacks. The local structure theorem states that many stacks locally look like the quotient of a scheme by the act
From playlist CORONA GS
Homotopy of Character Varieties by Sean Lawton
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
This lecture gives an introductory overview of the Chow ring of a nonsingular variety. The idea is to define a ring structure related to subvarieties with the product corresponding to intersection. There are several complications that have to be solved, in particular how to define intersec
From playlist Algebraic geometry: extra topics
Connections between classical and motivic stable homotopy theory - Marc Levine
Marc Levine March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far
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 Virtual Conference
Machine Learning & Artificial Intelligence: Crash Course Computer Science #34
So we've talked a lot in this series about how computers fetch and display data, but how do they make decisions on this data? From spam filters and self-driving cars, to cutting edge medical diagnosis and real-time language translation, there has been an increasing need for our computers t
From playlist Computer Science
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice pro
From playlist New Calculus Video Playlist
Differential Equations | The Laplace Transform of a Derivative
We establish a formula involving the Laplace transform of the derivative of a function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Laplace Transform
Math 131 Fall 2018 102918 Subsequences
Definition of subsequence. A sequence converges iff every subsequence converges. Sequence in a compact space has a convergent subsequence. Corollary: bounded sequences in Euclidean space have convergent subsequences. Cauchy sequences. Convergent implies Cauchy. Definition of diameter
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
9. From Brick to Marble: Augustus Assembles Rome
Roman Architecture (HSAR 252) Professor Kleiner discusses the transformation of Rome by its first emperor, Augustus, who claimed to have found Rome a city of brick and left it a city of marble. The conversion was made possible by the exploitation of new marble quarries at Luna (modern C
From playlist Roman Architecture with Diana E. E. Kleiner
Math 031 030617 Sequences continued
Additional examples of using the Squeeze Theorem to prove limits of sequences; of using L'Hopital's Rule on sequences. Showing that the limit of a sequence is 0 if and only if the limit of its absolute value is zero. Limits and continuous functions. What it means for the limit of a sequ
From playlist Course 3: Calculus II (Spring 2017)
15. Don Quixote, Part II: Chapters XII-XXI
Cervantes' Don Quixote (SPAN 300) González Echevarría starts by reviewing the Spanish baroque concept of desengaño. He proposes that the plot of the Quixote and some of the stories in part two unfold from deceit (engaño) to disillusionment (desengaño). He then turns his attention to Aue
From playlist Cervantes' Don Quixote with Roberto González Echevarría
Lune Of Hippocrates - Famous Ancient Math Problem
Hippocrates of Chios solved this, nearly 100 years before Euclid even wrote The Elements, and before we knew the exact formula for the area of a circle. This is said to be the first precise mathematical of the area between two curved lines. Learn how he solved for the area of a crescent-sh
From playlist Math Puzzles, Riddles And Brain Teasers
Anthony Henderson: Hilbert Schemes Lecture 1
SMRI Seminar Series: 'Hilbert Schemes' Lecture 1 Introduction Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested in representa
From playlist SMRI Course: Hilbert Schemes
Remainder Theorem and Synthetic Division of Polynomials
This precalculus video tutorial provides a basic introduction into the remainder theorem and how to apply it using the synthetic division of polynomials. It explains how to evaluate a function using synthetic division. The value of the function is equal to the remainder when f(x) is divi
From playlist New Precalculus Video Playlist