Inequalities

Eilenberg's inequality

Eilenberg's inequality, also known as the coarea inequality is a mathematical inequality for Lipschitz-continuous functions between metric spaces. Informally, it gives an upper bound on the average size of the fibers of a Lipschitz map in terms of the Lipschitz constant of the function and the measure of the domain. The Eilenberg's inequality has applications in geometric measure theory and manifold theory. It is also a key ingredient in the proof of the coarea formula. (Wikipedia).

Video thumbnail

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

Video thumbnail

Carlo Gasbarri: Liouville’s inequality for transcendental points on projective varieties

Abstract: Liouville inequality is a lower bound of the norm of an integral section of a line bundle on an algebraic point of a variety. It is an important tool in may proofs in diophantine geometry and in transcendence. On transcendental points an inequality as good as Liouville inequality

From playlist Algebraic and Complex Geometry

Video thumbnail

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

Video thumbnail

Absolute Value Inequalities

http://mathispower4u.wordpress.com/

From playlist Solving Absolute Value Inequalities

Video thumbnail

Solving and graphing an 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

Video thumbnail

Alexander Dranishnikov (9/22/22): On the LS-category of group homomorphisms

In 50s Eilenberg and Ganea proved that the Lusternik-Schnirelmann category of a discrete group Γ equals its cohomological dimension, cat(Γ) = cd(Γ). We discuss a possibility of the similar equality cat(φ) = cd(φ) for group homomorphisms φ : Γ → Λ. We prove this equality for some classes of

From playlist Topological Complexity Seminar

Video thumbnail

Solving a multi-step inequality and then graphing

👉 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

Video thumbnail

Inequalities on a Number Line

"Represent solutions of an inequality on a number line."

From playlist Algebra: Inequalities

Video thumbnail

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

Video thumbnail

Eilenberg Lectures, Nov 15, 2011 (pt.1)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #9: Nov 15, 2011 (Part 1 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Oct 4, 2011 (pt.2)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #3: Oct 4, 2011 (Part 2 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Oct 25, 2011 (pt.1)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #6: Oct 25, 2011 (Part 1 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Oct 11, 2011 (pt.1)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #4: Oct 11, 2011 (Part 1 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Oct 18, 2011 (pt.3)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #5: Oct 18, 2011 (Part 3 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Dec 6th, 2011 (pt.1)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #11: Dec 6, 2011 (Part 1 of 2)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Oct 25, 2011 (pt.3)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #6: Oct 25, 2011 (Part 3 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Dec 13th, 2011 (pt.1)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #12: Dec 13, 2011 (Part 1 of 2)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

Eilenberg Lectures, Oct 11, 2011 (pt.3)

Visiting professor Benedict Gross (Harvard University) delivers the Fall 2011 Eilenberg Lecture Series at Columbia University. Lecture #4: Oct 11, 2011 (Part 3 of 3)

From playlist Eilenberg Lectures - Fall 2011 (Benedict Gross)

Video thumbnail

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

Related pages

Coarea formula | Metric space | Inequality (mathematics) | Lipschitz continuity | Hausdorff measure