Measure theory | Mathematical problems | Computational geometry
In computational geometry, Klee's measure problem is the problem of determining how efficiently the measure of a union of (multidimensional) rectangular ranges can be computed. Here, a d-dimensional rectangular range is defined to be a Cartesian product of d intervals of real numbers, which is a subset of Rd. The problem is named after Victor Klee, who gave an algorithm for computing the length of a union of intervals (the case d = 1) which was later shown to be optimally efficient in the sense of computational complexity theory. The computational complexity of computing the area of a union of 2-dimensional rectangular ranges is now also known, but the case d ≥ 3 remains an open problem. (Wikipedia).
Measure Theory 1.1 : Definition and Introduction
In this video, I discuss the intuition behind measures, and the definition of a general measure. I also introduce the Lebesgue Measure, without proving that it is indeed a measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
In Class Example Difference of Sample Means
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From playlist Unit 7 Probability C: Sampling Distributions & Simulation
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
Lewis Mead (5/27/20): From large to infinite random simplicial complexes
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From playlist AATRN 2020
Uncertainty Principle - Klim Efremenko
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From playlist Mathematics
15. A Person in the World of People: Morality
Introduction to Psychology (PSYC 110) Professor Bloom provides an introduction to psychological theories of morality. Students will learn how research in psychology has helped answer some of the most central questions about human morality. For instance, which emotions are "moral" and why
From playlist Introduction to Psychology with Paul Bloom
Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture III
The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Paul Klee, Twittering Machine (Die Zwitscher-Maschine), 1922, 25 1/4 x 19" watercolor, ink, and gouache on paper (MoMA) Speakers: Dr. Juliana Kreinik and Dr. Steven Zucker. Created by Beth Harris and Steven Zucker.
From playlist Expressionism to Pop Art | Art History | Khan Academy
Paul Klee, Wilhelm Hausenstein, and the "Problem of Style" | Charles Mark Haxthausen
Paul Klee, Wilhelm Hausenstein, and the "Problem of Style" Charles Mark Haxthausen, Robert Sterling Clark Professor of Art History, Williams College http://gradart.williams.edu/faculty-and-staff/ February 25, 2014 In the art of Paul Klee (1879-1940), we find an unmatched pluralism of st
From playlist Historical Studies
GTAC 2016: Directed Test Generation to Detect Loop Inefficiencies
Monika Dhok, Indian Institute of Science
From playlist GTAC 2016
The KL Divergence : Data Science Basics
understanding how to measure the difference between two distributions Proof that KL Divergence is non-negative : https://www.youtube.com/watch?v=LOwj7UxQwJ0&t=520s My Patreon : https://www.patreon.com/user?u=49277905 0:00 How to Learn Math 1:57 Motivation for P(x) / Q(x) 7:21 Motivation
From playlist Data Science Basics
The Binomial Recurrence from Lattice Paths (visual proof)
This short animated proof demonstrates one combinatorial proof for the recurrence satisfied by the binomial coefficients. #mathshorts #mathvideo #math #mtbos #manim #animation #theorem #visualproof #proof #iteachmath #mathematics #binomialcoefficients #latticepaths #discretemath
From playlist Proof Writing
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
Abstract Convexity, Weak Epsilon-Nets, and Radon Number - Shay Moran
Computer Science/Discrete Mathematics Seminar II Topic: Abstract Convexity, Weak Epsilon-Nets, and Radon Number Speaker: Shay Moran Affiliation: University of California, San Diego; Member, School of Mathematics Date: March 13, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
What is the half life of beer (the short version)
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From playlist From the Universe to the Atom
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
Über ethnische und religiöse Vielfalt im Senegal
Der Forscher Jonas Klee vom Max-Planck-Institut für ethnologische Forschung spricht über seine Forschung in der senegalesischen Stadt Ziguinchor
From playlist Most popular videos
(PP 1.4) Measure theory: Examples of Measures
Some examples of probability measures. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not interested in the rigorous underpinnings. If you choose to do th
From playlist Probability Theory
I bought some PDAs to add to my collection...let's take a look at what I ended up with! Image credits: Palm Graffiti reference: https://upload.wikimedia.org/wikipedia/commons/6/68/Palm_Graffiti_gestures.png Psion image: https://upload.wikimedia.org/wikipedia/commons/f/f7/Psion_5mx_17o06.
From playlist Retro Tech
Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture II
The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability