Picture to line with Hilbert Curve
From playlist Space filling curves
This video covers part of the material from Briggs/Cochran Calculus Section 5.1: The Area Problem. In this video, I discuss the general problem of finding the area under a curve. Then, I give an outline and work through a couple of examples of using Riemann sums to estimate areas.
From playlist Calculus
Definition of Area Riemann Sum Limit of Sums Part 2 of 2 Calculus 1
I introduce the Definition of Area of a Plane. This is a special case of Riemann Sums where the width of the rectangles used to find the area of a plane bound by a function and the x-axis are all of equal width. Many examples are worked through. This is part 2 of my video "Area of a Pl
From playlist Calculus
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
Math 030 Calculus I 042715: Introduction to Integral Calculus
Introduction to integral calculus. Summation notation. N-th right endpoint approximation. Concrete examples (5th approximation on [0,1]); more abstract example (N-th approximation on [a,b]). Definition of area as the limit of N-th right endpoint approximations. Example of calculating
From playlist Course 2: Calculus I
Hilbert's Curve: Is infinite math useful?
Space-filling curves, and the connection between infinite and finite math. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com Supplement with more space-filling cu
From playlist Explainers
Worked problem in calculus. The limit process for area is carried out for f(x) = 4x - x^3 over the interval [0,2].
From playlist Calculus Pt 2: Basic Integration
Christina Sormani - Sequences of manifolds with lower bounds on their scalar curvature
If one has a weakly converging sequence of manifolds with a uniform lower bound on their scalar curvature, what properties of scalar curvature persist on the limit space? What additional hypotheses might be added to provide stronger controls on the limit space? What hypotheses are requ
From playlist Not Only Scalar Curvature Seminar
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 4 (version temporaire)
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 4
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1 (version temporaire)
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Disc filling and connected sum - Kai Zehmisch
Kai Zehmisch Universität Münster February 27, 2015 In my talk I will report on recent work with Hansjörg Geiges about a strong connection between the topology of a contact manifold and the existence of contractible periodic Reeb orbits. Namely, if the contact manifold appears as non-trivi
From playlist Mathematics
Hyperbolic 3-manifolds of bounded volume and trace field degre - Bogwang Jeon
Bogwang Jeon, Columbia Univ October 8, 2015 http://www.math.ias.edu/wgso3m/agenda 2015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 aca
From playlist Workshop on Geometric Structures on 3-Manifolds
Hilbert's 15th Problem: Schubert Calculus | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Get 2 months of Curiosity Stream free by going to www.curiositystream.com/infinite and signing up with the promo code "infinite." It's said that Hermann Schubert perfor
From playlist An Infinite Playlist
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2 (version temporaire)
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Estimating Area with Rectangles & Riemann Limit of Sums Definition of Area Calculus 1 AB
I introduce estimating the Area in a Plane using rectangles. I then expand on that concept using summation notation and limits at n approached infinity to find the exact area bound by a function and the x-axis within a closed interval. This video includes examples of estimating the lower
From playlist Calculus
C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2
We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics