Matching (graph theory) | Polytopes
In graph theory, the matching polytope of a given graph is a geometric object representing the possible matchings in the graph. It is a convex polytope each of whose corners corresponds to a matching. It has great theoretical importance in the theory of matching. (Wikipedia).
Labeling corresponding parts and proportions of sides of similar figures
Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of the
From playlist Similar Polygons
Identifying congruent parts between two polygons
👉 Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of th
From playlist Congruent Polygons
Geometry - Basic Terminology (18 of 34) What Makes Polygons Similar and Non-Similar?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what makes polygons similar and non-similar. Next video in the Basic Terminology series can be seen at: http://youtu.be/vx-9vd5BBxI
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
(New Version Available) Similar Polygons
New Version Fixed a Typo: https://youtu.be/U4l-cwalgIE This video defines similar polygons and shows how to use the properties of similar triangles to solve for unknown values. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Angles and Right Triangles
Determining multiple missing values using congruent polygons
👉 Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of th
From playlist Congruent Polygons
Using corresponding parts of congruent triangles to find the missing value
👉 Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of th
From playlist Congruent Polygons
Given similar figures determine your missing values
Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of the
From playlist Similar Polygons
The matching polytope has exponential extension complexity - Thomas Rothvoss
Thomas Rothvoss University of Washington, Seattle March 17, 2014 A popular method in combinatorial optimization is to express polytopes P P , which may potentially have exponentially many facets, as solutions of linear programs that use few extra variables to reduce the number of constrain
From playlist Mathematics
How to solve for y using similarity and proportions
Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of the
From playlist Similar Polygons
What are the names of different types of polygons based on the number of sides
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Panorama of Mathematics: Michel Goemans
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Michel Goemans: "A Panorami
From playlist Panorama of Mathematics
Lauren Williams - Combinatorics of the amplituhedron
The amplituhedron is the image of the positive Grassmannian under a map in- duced by a totally positive matrix. It was introduced by Arkani-Hamed and Trnka to compute scattering amplitudes in N=4 super Yang Mills. I’ll give a gentle introduction to the amplituhedron, surveying its connecti
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Nathan Klein: A (Slightly) Improved Approximation Algorithm for Metric TSP
I will describe work in which we obtain a randomized 3/2 − e approximation algorithm for metric TSP, for some e greater than 10^−36. This slightly improves over the classical 3/2 approximation algorithm due to Christodes [1976] and Serdyukov [1978]. Following the approach of Oveis Gharan,
From playlist Workshop: Approximation and Relaxation
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
Computing disk potentials via multi-directional sft - Chris Woodward
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Computing disk potentials via multi-directional sft Speaker: Chris Woodward Affiliation: Rutgers University Date: February 14, 2022 I will talk about ongoing work with S. Venugopalan on computing disk potentials (which are
From playlist Mathematics
Towards a theory of non-commutative optimization...… -Rafael Oliveira
Computer Science/Discrete Mathematics Seminar I Topic: Towards a theory of non-commutative optimization: geodesic 1st and 2nd order methods for moment maps and polytopes Speaker: Rafael Oliveira Affiliation:University of Toronto Date: October 22, 2019 For more video please visit http://v
From playlist Mathematics
James Lee: Semi Definite Extended Formulations and Sums of Squares (Part 2)
The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization
From playlist HIM Lectures 2015
The Matching Problem in General Graphs is in Quasi-NC - Ola Svensson
Computer Science/Discrete Mathematics Seminar I Topic: The Matching Problem in General Graphs is in Quasi-NC Speaker: Ola Svensson Affiliation: École polytechnique fédérale de Lausanne Date: January 22, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Stephan Weltge: Binary scalar products
We settle a conjecture by Bohn, Faenza, Fiorini, Fisikopoulos, Macchia, and Pashkovich (2015) concerning 2-level polytopes. Such polytopes have the property that for every facet-defining hyperplane H there is a parallel hyperplane H0 such that H and H0 contain all vertices. The authors con
From playlist Workshop: Tropical geometry and the geometry of linear programming
Proportions and Similar Polygons / Similar Figures
I work through 5 examples of solving for missing sides of similar polygons. Similar polygons have linear sides, the corresponding angles are congruent, and the corresponding sides are proportional. The equal proportions, or constant ratios of the side lengths, are called the Scale Factor
From playlist Geometry