Map of lattices
The concept of a lattice arises in order theory, a branch of mathematics. The Hasse diagram below depicts the inclusion relationships among some important subclasses of lattices. (Wikipedia).
The concept of a lattice arises in order theory, a branch of mathematics. The Hasse diagram below depicts the inclusion relationships among some important subclasses of lattices. (Wikipedia).
This video introduces lattice paths and explains how to determine the shortest lattice path.
From playlist Counting (Discrete Math)
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From playlist Recreational Math Videos
From playlist Exploratory Data Analysis
Lattice relations + Hermite normal form|Abstract Algebra Math Foundations 224 | NJ Wildberger
We introduce lattices and integral linear spans of vexels. These are remarkably flexible, common and useful algebraic objects, and they are the direct integral analogs of vector spaces. To understand the structure of a given lattice, the algorithm to compute a Hermite normal form basis is
From playlist Math Foundations
Lattice Paths Application: Driving
This video provides an example of lattice paths.
From playlist Counting (Discrete Math)
Lattice Multiplication - Whole Number Multiplication
This video explains how to use the method of lattice multiplication to multiply whole numbers. Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com
From playlist Multiplication and Division of Whole Numbers
Fun with lists, multisets and sets IV | Data structures in Mathematics Math Foundations 161
In this video we complete our initial discussion of the four types of basic data structures by describing sets, which are unordered and without repetition. As usual we restrict ourselves to very concrete and specific examples: k-sets from n, where k is a natural number or zero, and n is a
From playlist Math Foundations
Pick's theorem: The wrong, amazing proof
A video on what proofs in mathematics are for, using Pick's theorem as an example. PBS Infinite Series's video: https://youtu.be/bYW1zOMCQno
From playlist Summer of Math Exposition Youtube Videos
Mod-01 Lec-5ex Diffraction Methods For Crystal Structures - Worked Examples
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
Nonlinear algebra, Lecture 7: "Toric Varieties", by Mateusz Michalek
This is the seventh lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
10/18/18 Konstantin Mischaikow
A Combinatorial/Algebraic Topological Approach to Nonlinear Dynamics
From playlist Fall 2018 Symbolic-Numeric Computing
Amit Patel (5/1/21): Edit Distance and Persistence Diagrams Over Lattices
We build a functorial pipeline for persistent homology. The input to this pipeline is a filtered simplicial complex indexed by any finite lattice, and the output is a persistence diagram defined as the Mobius inversion of a certain monotone integral function. We adapt the Reeb graph edit d
From playlist TDA: Tutte Institute & Western University - 2021
Serge Bouc: Correspondence functors
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Plenary lecture 1 by Martin Bridson - Part 2
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
Ian Alevy: "Renormalizable Rectangle Exchange Maps"
Asymptotic Algebraic Combinatorics 2020 "Renormalizable Rectangle Exchange Maps" Ian Alevy - University of Rochester Abstract: A domain exchange map (DEM) is a dynamical system defined on a smooth Jordan domain which is a piecewise translation. We explain how to use cut-and-project sets
From playlist Asymptotic Algebraic Combinatorics 2020
Yimo Han - Assisting 4D-STEM data processing by machine learning and Bayesian optimization
Recorded 28 October 2022. Yimo Han of Rice University presents "Assisting 4D-STEM data processing by machine learning and Bayesian optimization" at IPAM's Mathematical Advances for Multi-Dimensional Microscopy Workshop. Abstract: From the highest-resolution electron ptychography to microme
From playlist 2022 Mathematical Advances for Multi-Dimensional Microscopy
Uri Bader - 3/4 Algebraic Representations of Ergodic Actions
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this
From playlist Uri Bader - Algebraic Representations of Ergodic Actions
John Voight: Computing classical modular forms as orthogonal modular forms
Abstract: Birch gave an extremely efficient algorithm to compute a certain subspace of classical modular forms using the Hecke action on classes of ternary quadratic forms. We extend this method to compute all forms of non-square level using the spinor norm, and we exhibit an implementatio
From playlist Algebraic and Complex Geometry
MathFoundations220: Linear spaces and spans II
In this video we introduce integral linear spaces as abstract algebraic objects. These are multiset versions of lattices in vector spaces, and they have numerous applications throughout mathematics, chemistry and physics . The basic ideas here are foundational for linear algebra as well.
From playlist Math Foundations