In computer graphics and computational geometry, a bounding volume for a set of objects is a closed volume that completely contains the union of the objects in the set. Bounding volumes are used to improve the efficiency of geometrical operations by using simple volumes to contain more complex objects. Normally, simpler volumes have simpler ways to test for overlap. A bounding volume for a set of objects is also a bounding volume for the single object consisting of their union, and the other way around. Therefore, it is possible to confine the description to the case of a single object, which is assumed to be non-empty and bounded (finite). (Wikipedia).
A. Song - What is the (essential) minimal volume? 4
I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of resu
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Volume and Capacity (Converting between units of volume)
More resources available at www.misterwootube.com
From playlist Applications of Measurement
This video introduces volume and shows how to determine the volume of a cube and rectangular solid. http://mathispower4u.com
From playlist Volume and Surface Area (Geometry)
A. Song - What is the (essential) minimal volume? 3
I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of resu
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
This video provides a basic introduction to volume.
From playlist Volume and Surface Area (Geometry)
Calculus 1: Max-Min Problems (19 of 30) Maximum Volume of a Closed Box
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the dimensions, s=? and h=?, of a closed box of maximum volume with a square bottom and minimum material of 10 square meter. Next video in this series can be seen at: https://youtu.be/o_jMBzFuL
From playlist CALCULUS 1 CH 8 MAX MIN PROBLEMS
A. Song - What is the (essential) minimal volume? 4 (version temporaire)
I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of resu
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
A. Song - What is the (essential) minimal volume? 2 (version temporaire)
I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of resu
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Volume between 3+y-x^2 and unit disk
From playlist Double integrals
A. Song - On the essential minimal volume of Einstein 4-manifolds (version temporaire)
Given a positive epsilon, a closed Einstein 4-manifold admits a natural thick-thin decomposition. I will explain how, for any delta, one can modify the Einstein metric to a bounded sectional curvature metric so that the thick part has volume linearly bounded by the Euler characteristic and
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
A. Song - On the essential minimal volume of Einstein 4-manifolds
Given a positive epsilon, a closed Einstein 4-manifold admits a natural thick-thin decomposition. I will explain how, for any delta, one can modify the Einstein metric to a bounded sectional curvature metric so that the thick part has volume linearly bounded by the Euler characteristic and
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
A. Song - What is the (essential) minimal volume? 1 (version temporaire)
I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of resu
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
A. Song - What is the (essential) minimal volume? 1
I will discuss the notion of minimal volume and some of its variants. The minimal volume of a manifold is defined as the infimum of the volume over all metrics with sectional curvature between -1 and 1. Such an invariant is closely related to "collapsing theory", a far reaching set of resu
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
The 5 Hardest Bounds Exam Style Questions | Grade 9 Series | GCSE Math Tutor
A video revising the techniques and strategies for looking at difficult bounds calculations (Higher Only). This video is part of the Bounds module in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend 💎 Casio fx-83GTX Scientifi
From playlist GCSE Maths Videos
Stéphane Sabourau (4/1/22): Macroscopic scalar curvature and local collapsing
After introducing the notion of macroscopic scalar curvature, we will present the following result. Consider a Riemannian metric on a closed manifold admitting a hyperbolic metric. Suppose its macroscopic scalar curvature is greater or equal to the one of the hyperbolic metric. Then its vo
From playlist Vietoris-Rips Seminar
A refined upper bound for the volume...Jones polynomial - Anastasiia Tsvietkova
Anastasiia Tsvietkova, UC Davis 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
From playlist Workshop on Geometric Structures on 3-Manifolds
Asymptotic invariants of locally symmetric spaces – Tsachik Gelander – ICM2018
Lie Theory and Generalizations Invited Lecture 7.4 Asymptotic invariants of locally symmetric spaces Tsachik Gelander Abstract: The complexity of a locally symmetric space M is controlled by its volume. This phenomena can be measured by studying the growth of topological, geometric, alge
From playlist Lie Theory and Generalizations
Didac Martinez-Granado: Volume Bounds for a Random Canonical Lift Complement
Didac Martinez-Granado, University of California, Davis Title: Volume Bounds for a Random Canonical Lift Complement Given a filling closed geodesic on a hyperbolic surface, one can consider its canonical lift in the projective tangent bundle. Drilling this knot, one obtains a hyperbolic 3-
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Chapter 2 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions