Mathematical concepts | Surfaces | Geometry
In mathematics, a sheaf of planes is the set of all planes that have the same common line. It may also be known as a fan of planes or a pencil of planes. When extending the concept of line to the line at infinity, a set of parallel planes can be seen as a sheaf of planes intersecting in a line at infinity. To distinguish it from the more general definition, the adjective parallel can be added to it, resulting in the expression parallel sheaf of planes. (Wikipedia).
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
Multivariable Calculus | Three equations for a line.
We present three equations that represent the same line in three dimensions: the vector equation, the parametric equations, and the symmetric equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Lines and Planes in Three Dimensions
👉 Learn essential definitions of 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 plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
Use linear algebra for equation of planes and lines.
From playlist Linear Algebra
A group of people Jet-skiing in a line at Airlie Beach
A short snapshot of a group of people Jet-skiing in a line at Airlie Beach from a sailing boat on the sea.
From playlist Travel in Australia
What is a Tensor? Lesson 39: All Possible Operations
What is a Tensor? Lesson 39: All Possible Operations I moved rather quickly through this material because it is not a critical "need to know" topic. However, it was more interesting than I expected it to be.
From playlist What is a Tensor?
What is a Tensor? Lesson 38: Visualization of Forms: Tacks and Sheaves. And Honeycombs.
What is a Tensor? Lesson 38: Visualization of Forms Part 2 Continuing to complete the "visualization" of the four different 3-dimensional vector spaces when dim(V)=3. Erratta: Note: When the coordinate system is expanded the density of things *gets numerically larger* and the area/volum
From playlist What is a Tensor?
Justin Curry (05/18/22): Exemplars of Sheaf Theory in TDA
In this talk I will present four case studies of sheaves and cosheaves in topological data analysis. The first two are examples of (co)sheaves in the small: (1) level set persistence and (2) decorated merge trees. The second set of examples are focused on (co)sheaves in the large: (3) unde
From playlist AATRN 2022
What is a Tensor? Lesson 40: The End
What is a Tensor? Lesson 40: The End This is the last lecture of "What is a Tensor"! Now on to "What is General Relativity". I will continue with "What is a Manifold" to cover the applications of tensors. In particular the integration of forms over oriented manifolds.
From playlist What is a Tensor?
Schemes 9: Spec R is a locally ringed space
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. It gives the proof that the spectrum of a ring R is a locally ringed space, by checking the sheaf property.
From playlist Algebraic geometry II: Schemes
Duality in Algebraic Geometry by Suresh Nayak
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Robert Ghrist, Lecture 2: Topology Applied II
27th Workshop in Geometric Topology, Colorado College, June 11, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
Hodge theory and derived categories of cubic fourfolds - Richard Thomas
Richard Thomas Imperial College London September 16, 2014 Cubic fourfolds behave in many ways like K3 surfaces. Certain cubics - conjecturally, the ones that are rational - have specific K3s associated to them geometrically. Hassett has studied cubics with K3s associated to them at the le
From playlist Mathematics
Robert Ghrist, Lecture 3: Topology Applied III
27th Workshop in Geometric Topology, Colorado College, June 12, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
👉 Learn essential definitions of 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 plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
👉 Learn essential definitions of 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 plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
algebraic geometry 35 More on blow ups
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It continues the discussion of blowing up in the previous video, with examples, of blowing up the real affine plane, blowing up an ideal, and regularizing a ration map fro
From playlist Algebraic geometry I: Varieties
👉 Learn essential definitions of 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 plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
👉 Learn essential definitions of 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 plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes