Mathematical structures

Cut locus

The cut locus is a mathematical structure defined for a closed set in a space as the closure of the set of all points that have two or more distinct shortest paths in from to . (Wikipedia).

Cut locus
Video thumbnail

Locus in a Plane Examples

How to find Locus in a Plane. We go through how to find these sets of points in a number of examples in this free math video tutorial by Mario's Math Tutoring. 0:23 What is a Locus 0:32 Example 1 Find the Locus of Points that are 3 Inches From a Circle of Radius 5 Inches in a Plane. 2:23

From playlist Locus

Video thumbnail

Locus and Definition of a Circle and Sphere

Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Geometry

Video thumbnail

D-drive four-bar linkage 5

The green locus has two approximately straight parts perpendicular to each other. STEP files of this video: https://www.mediafire.com/file/i2vx8anw88xc7a2/D4Bar5STEP.zip/file Inventor files of this video: http://www.mediafire.com/download/o8o24g6x4jbi69x/D4Bar5Inv.zip

From playlist Mechanisms

Video thumbnail

Locus in Space Examples

How to find the locus of points in space. We go through some examples in 3 dimensions in this free math video tutorial by Mario's Math Tutoring. 0:30 What are Loci 0:40 How to Describe a Locus of Points and Find the Pattern 0:58 Example 1 Locus of Points that are 3 inches from a Sphere o

From playlist Locus

Video thumbnail

Sachchidanand Prasad: Morse-Bott Flows and Cut Locus of Submanifolds

Sachchidanand Prasad, Indian Institute of Science Education and Research Kolkata Title: Morse-Bott Flows and Cut Locus of Submanifolds We will recall the notion of cut locus of closed submanifolds in a complete Riemannian manifold. Using Morse-Bott flows, it can be seen that the complement

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Video thumbnail

Stephan Mescher (3/10/22): Geodesic complexity of Riemannian manifolds

Geodesic complexity is motivated by Farber’s notion of topological complexity of a space, which gives a topological description of the motion planning problem in robotics. Motivated by this, D. Recio-Mitter recently introduced geodesic complexity as an isometry invariant of geodesic spaces

From playlist Topological Complexity Seminar

Video thumbnail

Danny Calegari: Big Mapping Class Groups - lecture 5

Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h

From playlist Topology

Video thumbnail

Locus of a Parabola (1 of 3: Defining features)

More resources available at www.misterwootube.com

From playlist Further Work with Functions (related content)

Video thumbnail

Richard Thomas - Vafa-Witten Invariants of Projective Surfaces 4/5

This course has 4 sections split over 5 lectures. The first section will be the longest, and hopefully useful for the other courses. 1. Sheaves, moduli and virtual cycles 2. Vafa-Witten invariants: stable and semistable cases 3. Techniques for calculation --- virtual degeneracy loci, c

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

Video thumbnail

Landau-Ginzburg - Seminar 1 - Introduction

This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this first lecture Dan Murfet gives a high level overview of the seminar, singularities and the 1-morphisms of LG. The main example is how to think about permu

From playlist Metauni

Video thumbnail

Enrique Macias-Virgo (5/27/21): Homotopic distance and Generalized motion planning

Lusternik-Schnirelmann category and topological complexity are particular cases of a more general notion, that we call homotopic distance between two maps. As a consequence, several properties of those invariants can be proved in a unified way and new results arise. For instance, we prove

From playlist Topological Complexity Seminar

Video thumbnail

Geometry Crash Course - Misc Concepts 1

Covers: - Locus - Rhombus - Kite - Planes - Euler's Formula

From playlist Geometry Crash Course

Video thumbnail

CCSS How to label collinear and coplanar points

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Video thumbnail

Alexandra Skripchenko: Real-normalised differential with a single order 2 pole

CONFERENCE Recording during the thematic meeting : "Combinatorics, Dynamics and Geometry on Moduli Spaces" the September 22, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwid

From playlist Algebraic and Complex Geometry

Video thumbnail

Parabola Terms

Introduction to the terms locus, focus, directrix, line of symmetry, vertex, maximum and minimum

From playlist Geometry

Video thumbnail

Locus: A Surprising Definition of a Familiar Shape

More resources available at www.misterwootube.com

From playlist Further Work with Functions (related content)

Video thumbnail

Holly Krieger: A case of the dynamical André-Oort conjecture

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Dynamical Systems and Ordinary Differential Equations

Video thumbnail

Introduction to Locus (2 of 3: Perpendicular Bisectors)

More resources available at www.misterwootube.com

From playlist Further Work with Functions (related content)

Related pages

Net (polyhedron) | Polyhedron | Polygon | Cut locus (Riemannian manifold) | Sphere | Medial axis