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
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
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
What are four types of polygons
👉 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
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
What is the difference between convex and concave
👉 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
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
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
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
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
Generalizing GKZ secondary fan using Berkovich geometry by Tony Yue Yu
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Motivations, connections and scope of the workshop - Avi Wigderson
Optimization, Complexity and Invariant Theory Topic: Motivations, connections and scope of the workshop Speaker: Avi Wigderson Affiliation: Institute for Advanced Study Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Optimization, Complexity and Invariant Theory
Log-concave polynomials in theory and applications - Part 2 - Cynthia Vinzant
Computer Science/Discrete Mathematics Seminar II Topic: Log-concave polynomials in theory and applications - Part 2 Speaker: Cynthia Vinzant Affiliation: Member, School of Mathematics Date: February 02, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Amir Ali Ahmadi, Princeton University
January 31, Amir Ali Ahmadi, Princeton University Two Problems at the Interface of Optimization and Dynamical Systems We propose and/or analyze semidefinite programming-based algorithms for two problems at the interface of optimization and dynamical systems: In part (i), we study the po
From playlist Spring 2020 Kolchin Seminar in Differential Algebra
Aaron Sidford: Introduction to interior point methods for discrete optimization, lecture II
Over the past decade interior point methods (IPMs) have played a pivotal role in mul- tiple algorithmic advances. IPMs have been leveraged to obtain improved running times for solving a growing list of both continuous and combinatorial optimization problems including maximum flow, bipartit
From playlist Summer School on modern directions in discrete optimization
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
Jonas Witt: Dantzig Wolfe Reformulations for the Stable Set Problem
Dantzig-Wolfe reformulation of an integer program convexifies a subset of the constraints, which yields an extended formulation with a potentially stronger linear programming (LP) relaxation than the original formulation. This paper is part of an endeavor to understand the strength of such
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
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
Spectrahedral lifts of convex sets – Rekha Thomas – ICM2018
Control Theory and Optimization Invited Lecture 16.6 Spectrahedral lifts of convex sets Rekha Thomas Abstract: Efficient representations of convex sets are of crucial importance for many algorithms that work with them. It is well-known that sometimes, a complicated convex set can be expr
From playlist Control Theory and Optimization