Geometric topology | Triangulation (geometry) | Simplicial homology | Algebraic topology
In mathematics, the barycentric subdivision is a standard way to subdivide a given simplex into smaller ones. Its extension on simplicial complexes is a canonical method to refine them. Therefore, the barycentric subdivision is an important tool in algebraic topology. (Wikipedia).
Introduction to Radians (3 of 3: Formal definition & conversion)
More resources available at www.misterwootube.com
From playlist Trigonometry and Measure of Angles
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
Area and Perimeter of Geometric Figures
Worked out examples involving area and perimeter.
From playlist Geometry
Tejas Kalelkar: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations
Tejas Kalelkar, Indian Institute of Science Education and Research Pune Title: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations Abstract: A geometric triangulation of a Riemannian manifold is a triangulation by totally geodesic simplexes. Any two triangulat
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
On Finite Types That Are Not h-Sets - Sergey Melikhov
Sergey Melikhov Steklov Mathematical Institute; Member, School of Mathematics February 14, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs
Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob
From playlist TDA: Tutte Institute & Western University - 2021
Trigonometry 6 The Sine of the Sum and the Difference of Two Angles
A description of the sine function of the sum and difference of two angles.
From playlist Trigonometry
Trigonometry for Beginners || Trigonometry Basics
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. This math video tutorial provides a basic introduction into #trigonometry. It covers trigonometric functions, ratios such as sine, cosine, and tangent, converting polar coordin
From playlist Trigonometry
PreCalculus - Trigonometry (1 of 54) What Is The Unit Circle?
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce and explain the unit circle and the relationship of the sides and angles.
From playlist Michel van Biezen: Pre-Calculus 6-9 - Trigonometry Review
In this video we will explore the difference between a radian and a degree and not only when to use each but how to convert between each other. ⭐️ Stop Memorizing the Unit Circle - https://www.youtube.com/watch?v=qW6Ua50fTw8 ✅ New Trigonometry Videos - https://youtube.com/playlist?list=P
From playlist Trigonometry in Pre-Calculus
Maurice Herlihy: Distributed Computing through Combinatorial Topology
The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology Models and techniques borrowed from classical combinatorial algebraic topology have yielded a variety of new lower bounds and impossibility results for distributed a
From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"
Luis Scoccola (12/5/21): Density-sensitive and robust Vietoris-Rips filtrations
The Vietoris-Rips (VR) filtration is 1-Lipschitz with respect to the Gromov-Hausdorff distance. Although useful in many applications, this type of result presents two difficulties: VR cannot distinguish datasets that are metrically similar but whose density structure is significantly diffe
From playlist Vietoris-Rips Seminar
Barycentric coordinates and the 6-7-8 triangle | WildTrig: Intro to Rational Trigonometry
Here we present another solution to the 6-7-8 triangle problem, this time using barycentric coorindates. This gives us a chance to apply the idea of assigning weights to the vertices of a triangle to determine various ratios formed by lines from the vertices meeting at a point. This video
From playlist WildTrig: Intro to Rational Trigonometry
Jennifer WILSON - High dimensional cohomology of SL_n(Z) and its principal congruence subgroups 2
Group cohomology of arithmetic groups is ubiquitous in the study of arithmetic K-theory and algebraic number theory. Rationally, SL_n(Z) and its finite index subgroups don't have cohomology above dimension n choose 2. Using Borel-Serre duality, one has access to the high dimensions. Church
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Michael Lesnick (2/23/2022): Stability of 2-Parameter Persistent Homology
We show that the standard stability results for union-of-balls, Čech, and Rips persistent homology have natural analogues in the 2-parameter setting, formulated in terms of the multicover bifiltration and Sheehy's subdivision bifiltrations. Our results imply that these bifiltrations are r
From playlist AATRN 2022
Lecture 09: Introduction to Geometry (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Geometry - Basic Terminology (11 of 34) Definition of Polygons and Convex Polygons
Visit http://ilectureonline.com for more math and science lectures! In this video I will define what are polygons and convex polygons. Next video in the Basic Terminology series can be seen at: http://youtu.be/N3wvmbsaFwQ
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
Learning to determine the point on the unit circle by sketching the angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Emilie Purvine (3/3/23): Applied Topology for Discrete Structures
Discrete structures have a long history of use in applied mathematics. Graphs and hypergraphs provide models of social networks, biological systems, academic collaborations, and much more. Network science, and more recently hypernetwork science, have been used to great effect in analyzing
From playlist Vietoris-Rips Seminar