BRS-inequality is the short name for Bruss-Robertson-Steele inequality. This inequality gives a convenient upper bound for the expected maximum number of non-negative random variables one can sum up without exceeding a given upper bound . For example, suppose 100 random variables are all uniformly distributed on , not necessarily independent, and let , say. Let be the maximum number of one can select in such that their sum does not exceed . is a random variable, so what can one say about bounds for its expectation? How would an upper bound for behave, if one changes the size of the sample and keeps fixed, or alternatively, if one keeps fixed but varies ? What can one say about , if the uniform distribution is replaced by another continuous distribution? In all generality, what can one say if each may have its own continuous distribution function ? (Wikipedia).
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
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
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
How to solve and graph 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
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
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
Hong Wang: The restriction problem and the polynomial method, Lecture III
Stein’s restriction conjecture is about estimating functions with Fourier transform supported on a hypersurface, for example, a sphere in Rn. These functions can be decomposed into a sum over wave packets supported on long thin tubes. Guth introduced the polynomial method in restriction th
From playlist Harmonic Analysis and Analytic Number Theory
What do you need to know to solve 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
Hong Wang: The restriction problem and the polynomial method, Lecture IV
Stein’s restriction conjecture is about estimating functions with Fourier transform supported on a hypersurface, for example, a sphere in Rn. These functions can be decomposed into a sum over wave packets supported on long thin tubes. Guth introduced the polynomial method in restriction th
From playlist Harmonic Analysis and Analytic Number Theory
Solving and graphing 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
Simone Cecchini: A long neck principle for Riemannian spin manifolds with positive scalar curvature
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 30, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Graphing a system of inequalities when one inequality is a vertical boundary line
👉 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
Liam Mazurowski - Recent developments in constant mean curvature hypersurfaces II
Continuing from the previous talk, we will first discuss two min-max theorems for constructing prescribed mean curvature hypersurfaces in non-compact spaces. The first concerns the existence of prescribed mean curvature hypersurfaces in Euclidean space, and the second concerns the existen
From playlist Not Only Scalar Curvature Seminar
Symplectic Dynamics Seminar: How Large is the Shadow of a Symplectic Ball? - Alberto Abbondandolo
Alberto Abbondandolo University of Pisa, Italy February 8, 2012 I will discuss a middle-dimensional generalization of Gromov's Non-Squeezing Theorem. For more videos, visit http://video.ias.edu
From playlist Mathematics
Varnas and the Caste System | World History | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/hinduism/v/varnas-and-caste-sytem A discussion of how varnas as described in the Rigveda and Bhagavad Gita relate to the noti
From playlist World History
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
[BOURBAKI 2018] 23/06/2018 - 4/4 - François GUÉRITAUD
François GUÉRITAUD Applications harmoniques et plongements quasi-isométriques en courbure négative pincée, d’après Benoist, Hulin, Markovic,... Benoist et Hulin ont récemment montré que tout plongement quasi-isométrique f : X → Y d’une variété de Hadamard à courbure pincée dans une autre
From playlist BOURBAKI - 2018
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