Geometric inequalities | Differential geometry of surfaces | Riemannian geometry | Systolic geometry

Pu's inequality

In differential geometry, Pu's inequality, proved by Pao Ming Pu, relates the area of an arbitrary Riemannian surface homeomorphic to the real projective plane with the lengths of the closed curves contained in it. (Wikipedia).

Pu's inequality
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Solving an absolute value inequality by switching the signs

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Why do we have to flip the sign when we divide or multiply by negative one - Cool Math

👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i

From playlist Solve and Graph Inequalities | Learn About

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Solving an absolute value inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Percolation on Nonamenable Groups, Old and New (Lecture-2) by Tom Hutchcroft

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

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Cutting Planes Proofs of Tseitin and Random Formulas - Noah Fleming

Computer Science/Discrete Mathematics Seminar II Topic: Cutting Planes Proofs of Tseitin and Random Formulas Speaker: Noah Fleming Affiliation: University of Toronto Date: May 5, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Graph Theory: Shortest Paths - Oxford Mathematics 2nd Year Student Lecture

Like many Universities around the world, Oxford has gone online for lockdown. So how do our student lectures look? Let Marc Lackenby show you as he looks at paths between vertices in a graph with a view to finding the shortest route between any two vertices. Works for your Satnav for examp

From playlist Oxford Mathematics 2nd Year Student Lectures

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Sixty years of percolation – Hugo Duminil-Copin – ICM2018

Mathematical Physics | Probability and Statistics Invited Lecture 11.10 | 12.13 Sixty years of percolation Hugo Duminil-Copin Abstract: Percolation models describe the inside of a porous material. The theory emerged timidly in the middle of the twentieth century before becoming one of th

From playlist Percolation

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Napier's Inequality (two visual proofs via calculus)

This is two short, animated visual proofs of the Napier's inequality: one using derivatives and one using integrals. This theorem bounds the reciprocal of the logarithm mean. #mathshorts #mathvideo #math #napierinequality #napier #inequality #logarithm #logarithmicmean #manim #animation #t

From playlist Inequalities

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Percolation on Nonamenable Groups, Old and New (Lecture-1) by Tom Hutchcroft

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

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Algebra - Ch. 31: Linear Inequality in 2 Variables (2 of 14) Differences

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between “greater-than or equalto” and “greater-than”, and “less-than or equal to” and “less-than” graphi

From playlist ALGEBRA CH 31 LINEAR INEQUALITIES IN 2 VARIABLES

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Rico Zenklusen: Approximation algorithms for hard augmentation problems, lecture III

Augmentation Problems are a fundamental class of Network Design Problems. In short, the goal is to find a cheapest way to increase the (edge-)connectivity of a graph by adding edges from a given set of options. The Minimum Spanning Tree Problem is one of its most elementary examples, which

From playlist Summer School on modern directions in discrete optimization

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How to solve a one variable absolute value inequality or statement

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Stability of Linear Dynamical Systems | The Practical Guide to Semidefinite Programming (3/4)

Third video of the Semidefinite Programming series. In this video, we will see how to use semidefinite programming to check whether a linear dynamical system is asymptotically stable. Thanks to Lyapunov's theory, this task can be reduced to searching for a so-called Lyapunov function. Pyth

From playlist Semidefinite Programming

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Solving an absolute value inequality using an and compound inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

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Summary for solving one variable inequalities

👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is an inequality whose highest power in the variable(s) i

From playlist Solve and Graph Inequalities | Learn About

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Minimal Surfaces in $CH^2$ and their Higgs Bundles by John Loftin

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

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Ball quotients - Bruno Klingler

Bruno Klingler Université Paris Diderot; Member, School of Mathematics December 8, 2014 Ball quotients are complex manifolds appearing in many different settings: algebraic geometry, hyperbolic geometry, group theory and number theory. I will describe various results and conjectures on the

From playlist Mathematics

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Solving and graphing an inequality with infinite many solutions

👉 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

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Understanding Wealth Inequality

We've talked about public goods and externalities, and one negative externality associated with economic decisions is wealth inequality. A certain measure of wealth inequality is expected and desirable for any economy. But when this becomes extreme, as it is in the United States and many o

From playlist Economics

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[BOURBAKI 2017] 17/06/2017 - 1/4 - Joseph OESTERLÉ

Densité maximale des empilements de sphères en dimensions 8 et 24 [d'après M. Viazovska et al.] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://t

From playlist BOURBAKI - 2017

Related pages

Uniformization theorem | Introduction to systolic geometry | Conformal map | Systolic geometry | Jordan curve theorem | Gromov's systolic inequality for essential manifolds | Systoles of surfaces | Torus | Length | Gromov's inequality for complex projective space | Real projective plane | Riemannian manifold | Charles Loewner | Sphere | Haar measure | Area | Differential geometry | Gaussian curvature | Riemannian circle | Filling area conjecture | Loewner's torus inequality