In mathematics, the Gaussian isoperimetric inequality, proved by Boris Tsirelson and , and later independently by , states that among all sets of given Gaussian measure in the n-dimensional Euclidean space, half-spaces have the minimal Gaussian boundary measure. (Wikipedia).
Graph the Solution to a System of Inequalities. (Quadratic/Linear) Bounded
This video explains how to graph the solution to a system of inequalities with a quadratic inequality and a linear inequality. http://mathispower4u.com
From playlist Solving Systems of Linear Inequalities
Steven Heilman - Variational Proofs of Isoperimetric Inequalities
Recorded 11 February 2022. Steven Heilman of the University of Southern California presents "Variational Proofs of Isoperimetric Inequalities" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: We will first survey some variational proofs of the Euclidean and
From playlist Workshop: Calculus of Variations in Probability and Geometry
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Solving and graphing a linear inequality
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Joe Neeman: Gaussian isoperimetry and related topics III
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
The Difference Between a Linear Equation and Linear Inequality (Two Variables)
This video explains the difference between a linear equation and linear inequality in two variables.
From playlist Solving Linear Inequalities in Two Variables
Ex 1: Solve a Linear Inequality Given Function Notation Using a Graph
Solving a linear inequality given using function notation by analyzing the graphs of two functions. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
Colloquium MathAlp 2016 - Michel Ledoux
Isopérimétrie dans les espaces métriques mesurés Le problème isopérimétrique (à volume donné, minimiser la mesure de bord, et déterminer les ensembles extrémaux), remonte aux temps les plus anciens. Tout à la fois, il peut se formuler de façon générale dans un espace métrique mesuré, et d
From playlist Colloquiums MathAlp
Solving a multi step inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Yuansi Chen: Recent progress on the KLS conjecture
Kannan, Lovász and Simonovits (KLS) conjectured in 1995 that the Cheeger isoperimetric coefficient of any log-concave density is achieved by half-spaces up to a universal constant factor. This conjecture also implies other important conjectures such as Bourgain’s slicing conjecture (1986)
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
How to determine the solution of a system of linear inequalities by graphing
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of inequalities by Graphing | Standard Form
Ex 2: Solve a Linear Inequality Given Using Function Notation Using a Graph
Solving a linear inequality given using function notation by analyzing the graphs of two functions. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
Find the feasible region by graphing 4 linear inequalities
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Solving and Graphing an inequality when the solution point is a decimal
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Higher order curvatures and isoperimetric inequalities - Yi Wang
Yi Wang Member, School of Mathematics October 1, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Bo'az Klartag - Convexity in High Dimensions II
November 4, 2022 This is the second talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional convex sets, a
From playlist Minerva Mini Course - Bo'az Klartag
Bo'az Klartag - Convexity in High Dimensions V
December 2, 2022 This is the fifth and final talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional conve
From playlist Minerva Mini Course - Bo'az Klartag
Bo'az Klartag - Convexity in High Dimensions IV
November 18, 2022 This is the fourth talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional convex sets,
From playlist Minerva Mini Course - Bo'az Klartag
Solving an inequality with a parenthesis on both sides
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis