In computational geometry, the largest empty rectangle problem, maximal empty rectangle problem or maximum empty rectangle problem, is the problem of finding a rectangle of maximal size to be placed among obstacles in the plane. There are a number of variants of the problem, depending on the particularities of this generic formulation, in particular, depending on the measure of the "size", domain (type of obstacles), and the orientation of the rectangle. The problems of this kind arise e.g., in electronic design automation, in design and verification of physical layout of integrated circuits. A maximal empty rectangle is a rectangle which is not contained in another empty rectangle. Each side of a maximal empty rectangle abuts an obstacle (otherwise the side may be shifted outwards, increasing the empty rectangle). An application of this kind is enumeration of "maximal white rectangles" in image segmentation R&D of image processing and pattern recognition. In the contexts of many algorithms for largest empty rectangles, "maximal empty rectangles" are candidate solutions to be considered by the algorithm, since it is easily proven that, e.g., a maximum-area empty rectangle is a maximal empty rectangle. (Wikipedia).
The Tsar Bomba footage 50Mt. The largest nuclear detonation in history.
From playlist Best of Science!
There are a lot more numbers than I thought there were - MegaFavNumbers
A short video detailing my favorite number larger than 1 million! There are so many numbers out there it was hard to choose from, but I’m glad I could participate in the #MegaFavNumbers series
From playlist MegaFavNumbers
The Largest Black Holes in the Universe (VERSION ONE)
Watch the REVIVED and EXPANDED version of this video on: http://youtu.be/xp-8HysWkxw Meet the new record-holder for largest black hole in the universe.. so far. How big can they get? What's the largest so far detected? Where does an 18 billion solar mass black hole hide? We've never se
From playlist SpaceRip Top Videos
What Are Cosmic Voids? The Biggest Nothings in the Universe
We talked about the biggest structures in the Universe, but what about the opposite? The biggest empty spaces in the Universe, the cosmic voids that separate the clusters of galaxies. Check out our interview with Paul M. Sutter, a specialist on cosmic voids: http://www.astronomycast.com/2
From playlist Cosmic Microwave Background Radiation
The Largest Black Hole in the Universe - Size Comparison
The Black Hole story continues with our Black Hole merch, spanning the whole range from somewhat bonkers to more serious. Check it out here: https://kgs.link/shop-146 Sources & further reading: https://sites.google.com/view/sources-largest-black-hole/ The largest things in the universe a
From playlist The Existential Crisis Playlist
The BIGGEST Black Hole In the Universe! Universe Sandbox 2
Hello and welcome to What Da Math! In this video, we will recreate the largest black hole known to use in the universe. Learn more by watching the video. Enjoy and please subscribe. Patreon page: https://www.patreon.com/user?u=2318196&ty=h Twitter: https://twitter.com/WhatDaMath Faceb
From playlist Universe Sandbox 2
World's Largest Jellyfish | North America
Watch NORTH AMERICA Sundays 9|8c on Discovery. | http://dsc.discovery.com/tv-shows/north-america#mkcpgn=ytdsc1 | The world's largest jellyfish may look intimidating, but it must be aware of it's surroundings or it will be eaten alive.
From playlist North America
Using Bounds to Calculate Further Bounds
"Use lower and upper bounds within calculations to calculate a further lower/upper bound."
From playlist Number: Rounding & Estimation
Richard Stanley - Increasing and decreasing subsequences (2006)
slides for this talk: https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/stanley2006.pdf ICM Madrid Videos 24.08.2006 Increasing and decreasing subsequences Richard P. Stanley Massachusetts Institute of Technology, Cambridge, USA 24-Aug-06 · 09:00-10:00 h https://www.mathunion.
From playlist Mathematics
OPTIMIZATION is like SUDOKU - Calc I help
Solving an optimization problem is analogous to completing a Sudoku puzzle. Watch to find out how!
From playlist Calc I (Integral)
Deepest Mandelbrot Zoom Ever! 10^1502
I now hold the world record.
From playlist Mandelbrot Set Videos
Mathleague.org Middle School Qualifying Round 3 Live Solve
Daily Challenge LIVE is thrilled to run a live solve series in collaboration with Mathleague.org! Two LIVE math stars will solve past problems from the 2022 Math League Middle School Qualifying Round 3 on the spot. The live solve series will be presented with a new technique that Daily Ch
From playlist Mathleague.org
Tackling Complex Shapes | Real World College Math | Study Hall
Things take up space. Sometimes more space than we anticipate. Understanding how much space objects take up gives us the ability to plan ahead. In this episode, we discuss ways to calculate how much space is inside two-dimensional shapes and how this knowledge helps us tackle real world de
From playlist Real World College Math: College Foundations
Dynamical systems, fractals and diophantine approximations – Carlos Gustavo Moreira – ICM2018
Plenary Lecture 6 Dynamical systems, fractal geometry and diophantine approximations Carlos Gustavo Moreira Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related
From playlist Plenary Lectures
Counting Integer Points in Polygons with Negative Numbers | A 'moral' Intro to Generating Functions
Turn on the subtitles for the BEST experience. :) 0:00 - Introduction 5:17 - Section 1: The What and Why of Generating Functions 15:18 - Section 2: Finding GFs for Lattice Counting Functions 34:11 - Section 3: Substituting Negative Numbers 47:46 - Section 4: The Finale 58:09 - Conclusion
From playlist Summer of Math Exposition 2 videos
A 10' overview of the LHC project and its research plans
From playlist The Large Hadron Collider
Sam Coogan, Georgia Tech Probabilistic guarantees for autonomous systems For complex autonomous systems subject to stochastic dynamics, providing absolute assurances of performance may not be possible. Instead, probabilistic guarantees that assure, for example, desirable performance with
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Random Matrix Theory And its Applications by Satya Majumdar ( Lecture - 1 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)
Zero to Infinity | Full Documentary | NOVA | PBS
Discover how the concepts of zero and infinity revolutionized mathematics. Official Website: https://to.pbs.org/3tkPFTx | #novapbs Zero and infinity. These seemingly opposite, obvious, and indispensable concepts are relatively recent human inventions. Discover the surprising story of h
From playlist Full episodes I NOVA
THE LARGEST HYDROGEN BOMB (Tsar Bomb) AND THE NUCLEAR BOMBS!!!
In this video demonstrate nuclear bombs and thermonuclear hydrogen bombs. Also you can see speech of Einstein about E=MC2, speech of Openheimer about destoyer of the worlds!!!
From playlist NUCLEAR PHYSICS