In mathematics, specifically in order theory and functional analysis, two elements x and y of a vector lattice X are lattice disjoint or simply disjoint if , in which case we write , where the absolute value of x is defined to be . We say that two sets A and B are lattice disjoint or disjoint if a and b are disjoint for all a in A and all b in B, in which case we write . If A is the singleton set then we will write in place of . For any set A, we define the disjoint complement to be the set . (Wikipedia).
Abstract Algebra | The dihedral group
We present the group of symmetries of a regular n-gon, that is the dihedral group D_n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el
From playlist Abstract algebra
MAST30026 Lecture 7: Constructing topological spaces (Part 2)
I defined the disjoint union of topological spaces, quotient spaces and the pushout. Lecture notes: http://therisingsea.org/notes/mast30026/lecture7.pdf The class webpage: http://therisingsea.org/post/mast30026/ Have questions? I hold free public online office hours for this class, every
From playlist MAST30026 Metric and Hilbert spaces
(New Version Available) Compound Inequalities
New version: https://youtu.be/U20Dp4lPVoo http://mathispower4u.wordpress.com/
From playlist Linear and Absolute Value Inequalities
What are Disjoint Sets? | Set Theory
What are disjoint sets? That is the topic of discussion in today's lesson! Two sets, A and B, are disjoint if and only if A intersect B is equal to the empty set. This means that two sets are disjoint if and only if they have no elements in common. This is the same as the two sets being "m
From playlist Set Theory
Compound Inequalities including Special Cases
This video explains how to solve compound inequalities. The solutions are expressed as a graph and using interval notation. http://mathispower4u.com
From playlist Solving and Graphing Compound Inequalities
Disjointness of Geodesics for First Passage Percolation in the Plane by Kenneth S. Alexander
PROGRAM FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS: Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE: 11 July 2022 to 29 July 2022 VENUE: Ramanujan Lecture Hall and online This
From playlist First-Passage Percolation and Related Models 2022 Edited
Solutions to Basic OR Compound Inequalities
This video explains how to graph the solution to an OR compound inequality and express the solution using interval notation. http://mathispower4u.com
From playlist Solving and Graphing Compound Inequalities
Diophantine analysis in thin orbits - Alex Kontorovich
Special Seminar Topic: Diophantine analysis in thin orbits Speaker: Alex Kontorovich Affiliation: Rutgers University; von Neumann Fellow, School of Mathematics Date: December 8, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Dana Randall: Sampling algorithms and phase transitions
Markov chain Monte Carlo methods have become ubiquitous across science and engineering to model dynamics and explore large combinatorial sets. Over the last 20 years there have been tremendous advances in the design and analysis of efficient sampling algorithms for this purpose. One of the
From playlist Probability and Statistics
Geometry and arithmetic of sphere packings - Alex Kontorovich
Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Percolation on Nonamenable Groups, Old and New (Lecture-1) by Tom Hutchcroft
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will
From playlist Probabilistic Methods in Negative Curvature (Online)
Introduction to FPP (Lecture 1) by Riddhipratim Basu
PROGRAM : FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS : Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE : 11 July 2022 to 29 July 2022 VENUE : Ramanujan Lecture Hall and online T
From playlist First-Passage Percolation and Related Models 2022 Edited
Nihar Gargava - Random lattices as sphere packings
In 1945, Siegel showed that the expected value of the lattice-sums of a function over all the lattices of unit covolume in an n-dimensional real vector space is equal to the integral of the function. In 2012, Venkatesh restricted the lattice- sum function to a collection of lattices that h
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Abstract Convexity, Weak Epsilon-Nets, and Radon Number - Shay Moran
Computer Science/Discrete Mathematics Seminar II Topic: Abstract Convexity, Weak Epsilon-Nets, and Radon Number Speaker: Shay Moran Affiliation: University of California, San Diego; Member, School of Mathematics Date: March 13, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Proof: Cosets are Disjoint and Equal Size
Explanation for why cosets of a subgroup are either equal or disjoint and why all cosets have the same size. Group Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 0:00 Cosets are disjoint 3:15 Cosets have same size Subscribe to see more new math
From playlist Group Theory
UHCL 09a Graduate Database Course - ER Components Part 3
This video corresponds to the unit 2 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). It discusses various components of an ER and EER diagram. Please note that this video is split into three parts. This is par
From playlist UHCL Graduate Database Course
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part1)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of section
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Larry Guth - Lipschitz constant and degree of mappings
We will survey the connection between the Lipschitz constant of a map $f$ (between Riemannian manifolds) and the topological type of the map. We will mostly focus on the degree of the map, because the story is already quite complex in that case. If $f\colon M^n \to M^n$ has Lipschitz cons
From playlist Not Only Scalar Curvature Seminar