What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go
From playlist Set Theory
Double Complement of a Set | Set Theory
What is the complement of the complement of a set? In today's set theory lesson we'll discuss double complements with respect to "absolute complements - being complements taken with respect to a universal set as opposed to relative complements. When we consider a universal set, every oth
From playlist Set Theory
Estimate the Correlation Coefficient Given a Scatter Plot
This video explains how to estimate the correlation coefficient given a scatter plot.
From playlist Performing Linear Regression and Correlation
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 ***
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
Learn Scatter Plot’s – It’s Easy!
TabletClass Math: https://tcmathacademy.com/ This video explains scatter plots in algebra – main concepts in the video are correlation and how to find the linear equation of a best fitting line.
From playlist Algebra
Common Linear Patterns Are Rare - Nina Kamčev
Computer Science/Discrete Mathematics Seminar I Topic: Common Linear Patterns Are Rare Speaker: Nina Kamčev Affiliation: University of Zagreb Date: April 03, 2023 Several classical results in Ramsey theory (including famous theorems of Schur, van der Waerden, Rado) deal with finding mon
From playlist Mathematics
What is set subtraction? In this video we go over that, the set minus set operation, and an example of subtraction in set theory. This is a handy concept to grasp to understand the complement of a set and universal sets, which I also have videos on. Links below. I hope you find this vide
From playlist Set Theory
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
Large-Scale Fluid Simulations On Your Graphics Card | Two Minute Papers #123
The paper "A scalable Schur-complement fluids solver for heterogeneous compute platforms" is available here: http://graphics.cs.wisc.edu/Papers/2016/LMAS16/ WE WOULD LIKE TO THANK OUR GENEROUS PATREON SUPPORTERS WHO MAKE TWO MINUTE PAPERS POSSIBLE: Sunil Kim, Daniel John Benton, Dave Rush
From playlist Fluid, Cloth and Hair Simulations (Two Minute Papers)
APA & Excel Tutorial Scatterplot
This is a tutorial in Excel 2020 (on Mac, but Windows is similar enough) on how to make a scatterplot of a correlation in APA style, with a line of best fit (i.e., regression line) and R-squared. I've included information on how to modify the default text to something that is readable. Thi
From playlist APA Style & Excel Tutorials
Math 060 Fall 2017 120117 Normal Matrices; Preparation for Singular Value Decomposition
Recall definition of normal matrix, statement of Schur's theorem. Theorem: A is normal iff A is unitarily diagonalizable. Lemma: Any triangular normal matrix is diagonal. Preparatory material for singular value decomposition: the null space of A equals that of A^TA; and consequently the
From playlist Course 4: Linear Algebra (Fall 2017)
RT5. Mostly Exercises (Expanded)
Representation Theory: We collect some loose ends and noteworthy facts on representations as a set of exercises. Topics include Schur's Lemma, full reducibility, and tensor product representations. Course materials, including problem sets and solutions, available at http://mathdoctorbob
From playlist Representation Theory
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
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
Orthogonal complements. The direct sum of a subspace and its orthogonal complement. Dimension of the orthogonal complement. The orthogonal complement of the orthogonal complement.
From playlist Linear Algebra Done Right
Representation theory: Orthogonality relations
This lecture is about the orthogonality relations of the character table of complex representations of a finite group. We show that these representations are unitary and deduce that they are all sums of irreducible representations. We then prove Schur's lemma describing the dimension of t
From playlist Representation theory
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
Math 060 Fall 2017 103017C Orthogonal Complements
Orthogonal subspaces; examples; nonexample. Orthogonal complements. Trivial observations about orthogonal subspaces and orthogonal complements. Fundamental Subspaces Theorem. More facts about orthogonal complements: the dimension of an orthogonal complement is complementary to the dime
From playlist Course 4: Linear Algebra (Fall 2017)