Convex analysis | Inequalities

Popoviciu's inequality

In convex analysis, Popoviciu's inequality is an inequality about convex functions. It is similar to Jensen's inequality and was found in 1965 by Tiberiu Popoviciu, a Romanian mathematician. (Wikipedia).

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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

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Solving and Graphing an inequality when the solution point is a decimal

πŸ‘‰ 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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Solving an inequality with a parenthesis on both sides

πŸ‘‰ 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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Solving a multi step inequality with distributive property

πŸ‘‰ 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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Solving a multi step inequality with distributive property

πŸ‘‰ 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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Learn how to solve a multi step inequality and graph the solution

πŸ‘‰ 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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Graphing an inequality with variables and parenthesis on both sides

πŸ‘‰ 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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Solving a multi-step inequality and then graphing

πŸ‘‰ 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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Solving and graphing an inequality with infinite many solutions

πŸ‘‰ 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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How to Solve Inequalities (NancyPi)

MIT grad explains solving inequalities. This video focuses on solving linear inequalities. It shows when to switch the sign of the inequality, if you divide or multiply by a negative number, and is an introduction to how to solve inequalities in algebra. To skip ahead: 1) For a basic examp

From playlist Algebra

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Compound Inequalities 9 Examples including Fractions & Interval Notation

I start by defining Compound Inequalities & explaining the difference between "and" and "or" statements Inequality to Number Line examples at 2:03 7:01 8:44 Number Line to Inequality examples at 11:01 14:19 16:55 These examples include Interval Notation. Solving a Compound Inequality exa

From playlist Algebra 1

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Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017

Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and PoincarΓ© inequalities) have found widespread application in the study of the behavior of primitive q

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Radek Adamczak: Functional inequalities and concentration of measure II

Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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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

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Lesson 12 Module 3 video

Grade 7: Module 3 Lesson 12 on Inequalities

From playlist Eureka Math Grade 7 Module 3

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What are compound inequalities

πŸ‘‰ Learn all about solving and graphing compound inequalities. An inequality is a statement in which one value is not equal to the other value. A compound inequality is a type of inequality comprising of more than one inequalities. To solve a compound inequality, we use inverse operations

From playlist Solve Compound Inequalities

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Minkowski's inequality

This is a basic introduction to Minkowski's inequality, which has many applications in mathematics. A simple case in the Euclidean space R^n is discussed with a proof provided.

From playlist Mathematical analysis and applications

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Learn how to solve and graph the solution to a multi step inequality

πŸ‘‰ 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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Nexus Trimester - Randall Dougherty (Center for Communications Research)

Entropy inequalities and linear rank inequalities Randall Dougherty (Center for Communications Research) February 16, 2016 Abstract: Entropy inequalities (Shannon and non-Shannon) have been used to obtain bounds on the solutions to a number of problems. When the problems are restricted t

From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

Related pages

Tiberiu Popoviciu | Convex function | Convex analysis | Inequality (mathematics) | Continuous function | Jensen's inequality