Homological algebra | Group theory
In mathematical group theory, the Schur multiplier or Schur multiplicator is the second homology group of a group G. It was introduced by Issai Schur in his work on projective representations. (Wikipedia).
SCATTERPLOTS: Visualize Relationships Between Two Scale Variables (4-4)
Scatter Diagram (a.k.a. Scatterplot) is a graph used with correlation and regression. It summarizes the relationship between two quantitative variables. Trendline (a.k.a. Regression line) approximates the relationship between the two variables. A pair of scale variables, X and Y, are plott
From playlist Data Visualization for Variables in Statistics (WK 4 - QBA 237)
Multivariable Calculus | Lagrange multipliers
We give a description of the method of Lagrange multipliers and provide some examples -- including the arithmetic/geometric mean inequality. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers
How to Make a Scatter Plot Matrix in R
Scatter plot matrix is a plot that generates a grid of pairwise scatter plots for multiple numeric variables. Creating a scatter plot matrix can be a useful way to visually explore relationships between several numeric variables quickly. Code used in this code clip: library(tidyverse) li
From playlist Code Clips: R Plots
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Statistics - Making a scatter plot
This video will show you how to make a simple scatter plot. Remember to put your independent variable along the x-axis, and you dependent variable along the y-axis. For more videos please visit http://www.mysecretmathtutor.com
From playlist Statistics
How to Use Lagrange Multipliers to Find Maximums and Minimums Subject to Constraints
How to Use Lagrange Multipliers to Find Maximums and Minimums Subject to Constraints
From playlist Calculus 3
Representation of finite groups over arbitrary fields by Ravindra S. Kulkarni
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
Schurs Exponent Conjecture by Viji Z. Thomas
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
Representation theory: The Schur indicator
This is about the Schur indicator of a complex representation. It can be used to check whether an irreducible representation has in invariant bilinear form, and if so whether the form is symmetric or antisymmetric. As examples we check which representations of the dihedral group D8, the
From playlist Representation theory
Math 060 Fall 2017 112917C Spectral Theorem for Hermitian Matrices
Review: A Hermitian matrix with all distinct eigenvalues is unitarily diagonalizable. Statement of Spectral Theorem: Every Hernitian matrix is unitarily diagonalizable. Lemma: Schur's Theorem (every matrix is unitarily upper triangularizable). Inductive proof of Schur's theorem. Proof
From playlist Course 4: Linear Algebra (Fall 2017)
Mod-01 Lec-36 Spectral Theorem
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
RT8.1. Schur Orthogonality Relations
Representation Theory of Finite Groups: As a first step to Fourier analysis on finite groups, we state and prove the Schur Orthogonality Relations. With these relations, we may form an orthonormal basis of matrix coefficients for L^(G), the set of functions on G. We also define charac
From playlist *** The Good Stuff ***
15.5: Lagrange Multipliers Example - Valuable Vector Calculus
Explanation of Lagrange multipliers: https://youtu.be/bmTiH4s_mYs An example of the actual problem-solving techniques to find maximum and minimum values of a function with a constraint using Lagrange multipliers. Full Valuable Vector Calculus playlist: https://www.youtube.com/playlist?li
From playlist Valuable Vector Calculus
Claude Lefèvre: Discrete Schur-constant models in inssurance
Abstract : This paper introduces a class of Schur-constant survival models, of dimension n, for arithmetic non-negative random variables. Such a model is defined through a univariate survival function that is shown to be n-monotone. Two general representations are obtained, by conditioning
From playlist Probability and Statistics
Logarithmic concavity of Schur polynomials - June Huh
Members' Seminar Topic: Logarithmic concavity of Schur polynomials Speaker: June Huh Visiting Professor, School of Mathematics Date: October 7, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Solve an equation for x by clearing fractions with multiple steps
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Alexander Moll: A new spectral theory for Schur polynomials and applications
Abstract: After Fourier series, the quantum Hopf-Burgers equation vt+vvx=0 with periodic boundary conditions is equivalent to a system of coupled quantum harmonic oscillators, which may be prepared in Glauber's coherent states as initial conditions. Sending the displacement of each oscilla
From playlist Combinatorics
RT7.1: Finite Abelian Groups: Character Orthogonality
We establish an analogue of Fourier analysis for a finite abelian group G. A decomposition of L^2(G) is given in terms of characters. Versions of Schur Orthogonality Relations and the Peter-Weyl Theorem are given. Course materials, including problem sets and solutions, available at htt
From playlist Representation Theory
Lagrange multipliers: 2 constraints
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus