In lattice theory, a mathematical discipline, a finite lattice is slim if no three join-irreducible elements form an antichain. Every slim lattice is . A finite planar semimodular lattice is slim if and only if it contains no cover-preserving diamond sublattice M3 (this is the original definition of a slim lattice due to George Grätzer and Edward Knapp). (Wikipedia).
Lattice Structures in Ionic Solids
We've learned a lot about covalent compounds, but we haven't talked quite as much about ionic compounds in their solid state. These will adopt a highly ordered and repeating lattice structure, but the geometry of the lattice depends entirely on the types of ions and their ratio in the chem
From playlist General Chemistry
From playlist Exploratory Data Analysis
This video introduces lattice paths and explains how to determine the shortest lattice path.
From playlist Counting (Discrete Math)
How to construct the Leech lattice
This lecture describes an astonishingly simple construction of the Leech lattice in 24 dimensions, found by John Conway and Neal Sloane. This is an experimental joint video with @Lyam Boylan (https://www.tiktok.com/@yamsox/video/7057530890381053189) who added the animation, the thumbnai
From playlist Math talks
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
Lattice multiplication is a multiplication method that allows you multiply any two numbers quickly using a table. It is especially useful in multiplying large numbers, with less mess and confusion than standard long multiplication. This method has many names - Lattice multiplication, gel
From playlist Math Tricks for Fast Multiplication
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 Multiplication Explained - Math Animation
Lattice multiplication is a fast and easy way to multiply numbers and even polynomials. You write the digits of one number as different columns and the digits of the other number as different rows. Then you multiply the digits in the columns and the rows, one by one, and add up the numbers
From playlist Mental Math Tricks
Scoring systems: At the extreme of interpretable machine learning - Cynthia Rudin - Duke University
With widespread use of machine learning, there have been serious societal consequences from using black box models for high-stakes decisions, including flawed bail and parole decisions in criminal justice, flawed models in healthcare, and black box loan decisions in finance. Interpretabili
From playlist Interpretability, safety, and security in AI
Alexander Black: Modifications of the Shadow Vertex Pivot Rule
The shadow vertex pivot rule is a fundamental tool for the probabilistic analysis of the Simplex method initiated by Borgwardt in the 1980s. More recently, the smoothed analysis of the Simplex method first done by Spielman and improved upon by Dadush and Huiberts relied on the shadow verte
From playlist Workshop: Tropical geometry and the geometry of linear programming
Antonin Guilloux: Slimness in the 3-sphere
Viewed as the boundary at infinity of the complex hyperbolic plane, the 3-sphere is equipped with a contact structure. The interplay between this contact structure and limit sets of subgroups of PU(2,1) has deep consequences on the properties of these subgroups. Some limit sets enjoy the p
From playlist Geometry
Multiplicatively Badly Approximable Vectors by Reynold Fregoli
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Bonding Like Period Element Atoms Using Parametric Geometry and Z#
In this talk, Alexander Garron discusses the quantum-level parametric geometry he uses to construct and bond like atoms together. Constructing a bonding profile of nuclear energy curves structuring, two like atoms are built with two parametric geometry sections. One section will be a
From playlist Wolfram Technology Conference 2020
Vitaliy Kurlin - Introduction to Periodic Geometry and Topology
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Vitaliy Kurlin, University of Liverpool Title: Introduction to Periodic Geometry and Topology Abstract: Motivated by applications in crystallography and materials science, the new area of Periodic Geometry studies continu
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Duncan McCoy - Lattices, embeddings and Seifert fibered spaces
June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Every Seifert fibered homology sphere bounds a definite star-shaped plumbing. In 1985 Neumann and Zagier used the R-invariant of Fintushel and Stern to
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Introduction to hyperbolic groups ( Lecture - 02) by Mahan Mj
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Lec 16 | MIT 3.091 Introduction to Solid State Chemistry
Characterization of Atomic Structure: The Generation of X-rays and Moseley's Law View the complete course at: http://ocw.mit.edu/3-091F04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.091 Introduction to Solid State Chemistry, Fall 2004
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
FCC structure {Texas A&M: Intro to Materials}
Tutorial illustrating the FCC crystalline lattice and how it is assembled from close packed planes. Video lecture for Introduction to Materials Science & Engineering (MSEN 201/MEEN 222), Texas A&M University, College Station, TX. http://engineering.tamu.edu/materials
From playlist TAMU: Introduction to Materials Science & Engineering | CosmoLearning.org
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 14
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence