Functional analysis

Locally convex vector lattice

In mathematics, specifically in order theory and functional analysis, a locally convex vector lattice (LCVL) is a topological vector lattice that is also a locally convex space. LCVLs are important in the theory of topological vector lattices. (Wikipedia).

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Vectors in 2D and 3D Space

This is the second video of a series from the Worldwide Center of Mathematics explaining the basics of vectors. This video deals with vectors in the 2D and 3D planes, and shows the geometric interpretations of some vector operations. For more math videos, visit our channel or go to www.cen

From playlist Basics: Vectors

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Linear Algebra for Computer Scientists. 8. Convex Combinations of Vectors

This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about convex combinations of vectors. A convex combination is a special type of linear combination, in which the coefficients must add up to one, and are both greater tha

From playlist Linear Algebra for Computer Scientists

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Ex: Find the Magnitude of a Vector in 3D

This video explains how to determine the magnitude of a vector in 3D. Site: http://mathispower4u.com

From playlist Vectors in Space (3D)

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What is a Vector Space?

This video explains the definition of a vector space and provides examples of vector spaces.

From playlist Vector Spaces

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Nonlinear algebra, Lecture 13: "Polytopes and Matroids ", by Mateusz Michalek

This is the thirteenth 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

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Column space of a matrix

We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the

From playlist Introducing linear algebra

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John R. Parker: Complex hyperbolic lattices

Lattices in SU(2,1) can be viewed in several different ways: via their geometry as holomorphic complex hyperbolic isometries, as monodromy groups of hypergeometric functions, via algebraic geometry as ball quotients and (sometimes) using arithmeticity. In this talk I will describe these di

From playlist Geometry

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A simple proof of a reverse Minkowski inequality - Noah Stephens-Davidowitz

Computer Science/Discrete Mathematics Seminar II Topic: A simple proof of a reverse Minkowski inequality Speaker: Noah Stephens-Davidowitz Affiliation: Visitor, School of Mathematics Date: April 17, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Stefan Weltge: Lattice-free simplices with lattice width 2d - o(d)

The Flatness theorem states that the maximum lattice width Flt(d) of a d-dimensional lattice-free convex set is nite. It is the key ingredient for Lenstra's algorithm for integer programming in xed dimension, and much work has been done to obtain bounds on Flt(d). While most results have b

From playlist Workshop: Parametrized complexity and discrete optimization

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Kazuo Murota: Extensions and Ramifications of Discrete Convexity Concepts

Submodular functions are widely recognized as a discrete analogue of convex functions. This convexity view of submodularity was established in the early 1980's by the fundamental works of A. Frank, S. Fujishige and L. Lovasz. Discrete convex analysis extends this view to broader classes of

From playlist HIM Lectures 2015

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Tut4 Glossary of Terms

A short video on terms such as Vector Space, SubSpace, Span, Basis, Dimension, Rank, NullSpace, Col space, Row Space, Range, Kernel,..

From playlist Tutorial 4

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Daniel Dadush: Integer Programming and the Kannan-Lovasz Conjecture

In this talk, I will give a (very) high-level overview of the lattice theoretic and convex geometric tools needed to solve n-variable integer programs in O(n)n time. In the process, I will introduce the Kannan-Lovasz conjecture, which posits the existence of very sparse lattice projections

From playlist Workshop: Parametrized complexity and discrete optimization

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Lattices: from geometry to cryptography - Oded Regev

Ruth and Irving Adler Expository Lecture in Mathematics Topic: Lattices: from geometry to cryptography Speaker: Oded Regev Affiliation: New York University Date: November 29, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Lattice formulas for rational SFT capacities of toric domains - Ben Wormleighton

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Lattice formulas for rational SFT capacities of toric domains Speaker: Ben Wormleighton Affiliation: Washington University Date: June 25, 2021 Siegel has recently defined ‘higher’ symplectic capacities using ration

From playlist Mathematics

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BAG1.6. Toric Varieties 6 - Faces and Localization

Basic Algebraic Geometry: We give an overview of convex geometry for polyhedral cones, including Gordan's Lemma and the Separation Lemma. A first connection to toric varieties is given by localization.

From playlist Basic Algebraic Geometry

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Ex: Find a Unit Vector in the Direction of a Given Vector in 3D

This example explains how to find a unit vector in the direction of a given vector in space. Site: http://mathispower4u.com

From playlist Vectors in Space (3D)

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Invariant Measures for Horospherical Flows by Hee Oh

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

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Polyhedral Liouville domains - Marco Castronovo

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Polyhedral Liouville domains Speaker: Marco Castronovo Affiliation: Columbia University Date: March 25, 2022 I will explain the construction of a new class of Liouville domains that live in a complex torus o

From playlist Mathematics

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Optimal Transportation and Applications - 14 November 2018

http://crm.sns.it/event/436 It is the ninth edition of this "traditional'' meeting in Pisa, after the ones in 2001, 2003, 2006, 2008, 2010, 2012, 2014 and 2016. Organizing Committee Luigi Ambrosio, Scuola Normale Superiore, Pisa Giuseppe Buttazzo, Dipartimento di Matematica, Università

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Visualization of tensors - part 1

This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te

From playlist Animated Physics Simulations

Related pages

Mackey topology | Metrizable topological vector space | Order complete | Functional analysis | Separable space | Topological vector lattice | Absorbing set | Order dual (functional analysis) | Minkowski functional | Ordered topological vector space | Banach lattice | Reflexive space | Fréchet lattice | Solid set | Order topology (functional analysis) | Bornological space | Order theory | Balanced set | Sequentially complete | Convex set | Quasi-interior point