In the mathematical discipline of order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every element a has a complement, i.e. an element b satisfying a ∨ b = 1 and a ∧ b = 0.Complements need not be unique. A relatively complemented lattice is a lattice such that every interval [c, d], viewed as a bounded lattice in its own right, is a complemented lattice. An orthocomplementation on a complemented lattice is an involution that is order-reversing and maps each element to a complement. An orthocomplemented lattice satisfying a weak form of the modular law is called an orthomodular lattice. In distributive lattices, complements are unique. Every complemented distributive lattice has a unique orthocomplementation and is in fact a Boolean algebra. (Wikipedia).
Universal sets and complements - Integrated Algebra
This video focuses on universal sets and complements. More specifically, this video looks at the problem "If A is a subset of U, what is the complement of A?" This video is appropriate for a student taking a course in Integrated Algebra. Students preparing for the NY Integrated Algebra
From playlist Algebra 1
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
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
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
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
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
What is the Complement of a Graph? | Graph Theory, Graph Complements, Self Complementary Graphs
What is the complement of a graph? What are self complementary graphs? We'll be answering these questions in today's video graph theory lesson! If G is a graph, the complement of G has the same vertex set but the "opposite" edge set. That means two vertices are adjacent in G Complement if
From playlist Graph Theory
Easy Decimal Multiplication - Lattice Method
An easy method for multiplying 2 decimals together: the lattice method!
From playlist QTS Numeracy Skills
Sylvie PAYCHA - From Complementations on Lattices to Locality
A complementation proves useful to separate divergent terms from convergent terms. Hence the relevance of complementation in the context of renormalisation. The very notion of separation is furthermore related to that of locality. We extend the correspondence between Euclidean structures o
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Maths for Programmers: Sets (Complement & Involution Laws)
We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod
From playlist Maths for Programmers
Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis
Boris Apanasov, University of Oklahoma Title: Non-rigidity for Hyperbolic Lattices and Geometric Analysis We create a conformal analogue of the M. Gromov-I. Piatetski-Shapiro interbreeding construction to obtain non-faithful representations of uniform hyperbolic 3-lattices with arbitrarily
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Alessandra Sarti: Topics on K3 surfaces - Lecture 6: Classification
Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono
From playlist Algebraic and Complex Geometry
Anna De Mier: Approximating clutters with matroids
Abstract: There are several clutters (antichains of sets) that can be associated with a matroid, as the clutter of circuits, the clutter of bases or the clutter of hyperplanes. We study the following question: given an arbitrary clutter Λ, which are the matroidal clutters that are closest
From playlist Combinatorics
Olivier Debarre: Periods of polarized hyperkähler manifolds
Abstract: Hyperkähler manifolds are higher-dimensional analogs of K3 surfaces. Verbitsky and Markmann recently proved that their period map is an open embedding. In a joint work with E. Macri, we explicitly determine the image of this map in some cases. I will explain this result together
From playlist Algebraic and Complex Geometry
Chi-Keung Ng: Ortho-sets and Gelfand spectra
Talk by Chi-Keung Ng in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on June 9, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
Matthias Lenz, Research talk - 11 February 2015
Matthias Lenz (University of Oxford) - Research talk http://www.crm.sns.it/course/4484/ Formulas of Khovanskii-Pukhlikov, Brion-Vergne, and De Concini-Procesi-Vergne relate the volume with the number of integer points in a convex polytope. In this talk I will refine these formulas and tal
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Alessandra Sarti: Topics on K3 surfaces - Lecture 4: Nèron-Severi group and automorphisms
Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono
From playlist Algebraic and Complex Geometry
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)
Roy Meshulam (6/27/17) Bedlewo: Concurrency Theory and Subspace Arrangements
Concurrency theory in computer systems deals with properties of systems in which several computations are executing simultaneously and potentially interacting with each other. We will be concerned with Dijkstra’s classical PV-model of concurrent computation. In this model, an execution cor
From playlist Applied Topology in Będlewo 2017