C33 Example problem using variation of parameters
Another example problem using the method of variation of parameters on second-order, linear, ordinary DE's.
From playlist Differential Equations
C34 Expanding this method to higher order linear differential equations
I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.
From playlist Differential Equations
Difficult to form a recipe here, but through judicious use of substitution you can infinitely simplify a DE. Have a look.
From playlist Differential Equations
C60 Example problem involving free damped motion
Example problem using a linear differential equation to solve for damped harmonic motion.
From playlist Differential Equations
C32 Example problem using variation of parameters
Another example problem using the method of variation of parameters.
From playlist Differential Equations
Representation theory: Frobenius groups
We recall the definition of a Frobenius group as a transitive permutation group such that any element fixing two points is the identity. Then we prove Frobenius's theorem that the identity together with the elements fixing no points is a normal subgroup. The proof uses induced representati
From playlist Representation theory
Representation theory: Induced representations
We define induced representations of finite groups in two ways as either left or right adjoints of the restriction functor. We calculate the character of an induced representation, and give an example of an induced representation of S3.
From playlist Representation theory
Omer Offen : Distinction and the geometric lemma
Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 17, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross
Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th
From playlist Mathematics
Applying the power rule to simplify an expression with a rational power
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an expression with an exponent is raised to another exponent tha
From playlist Raise an Exponent to a Fraction
Monica Nevins: Representations of p-adic groups via their restrictions to compact open subgroups
SMRI Algebra and Geometry Online 'Characters and types: the personality of a representation of a p-adic group, revealed by branching to its compact open subgroups' Monica Nevins (University of Ottawa) Abstract: The theory of complex representations of p-adic groups can feel very technical
From playlist SMRI Algebra and Geometry Online
Structured dynamic models of meaning for understanding language change and representing book plots
In this talk, Lea will present two statistical models of structured meaning development. The models were defined with the goal of gaining a deeper understanding of the structure and development of meaning from raw textual data at scale, and cater towards two areas of interest in the social
From playlist Turing Seminars
[BOURBAKI 2017] 21/10/2017 - 1/4 - Oliver DUDAS
Splendeur des variétés de Deligne-Lusztig [d'après Deligne-Lusztig, Broué, Rickard, Bonnafé-Dat-Rouquier] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter :
From playlist BOURBAKI - 2017
Simple Modules for SL2 via BN-Pairs - Lars Thorge Jensen
Seminar on SL2 Topic: Simple Modules for SL2 via BN-Pairs Speaker: Lars Thorge Jensen Affiliation: Member, School of Mathematics Date: October 27, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Derived Equivalences for Blocks of Cyclic Defect - Jay Taylor
SL2 Seminar Topic: Derived Equivalences for Blocks of Cyclic Defect Speaker: Jay Taylor Affiliation: University of Southern California; Member, School of Mathematics Date: November 24, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Simplify a rational expression by factoring
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions