In algebraic geometry, Nash blowing-up is a process in which, roughly speaking, each singular point is replaced by all limiting positions of the tangent spaces at the non-singular points. More formally, let be an algebraic variety of pure dimension r embedded in a smooth variety of dimension n, and let be the complement of the singular locus of . Define a map , where is the Grassmannian of r-planes in the tangent bundle of , by , where is the tangent space of at . The closure of the image of this map together with the projection to is called the Nash blow-up of . Although the above construction uses an embedding, the Nash blow-up itself is unique up to unique isomorphism. (Wikipedia).
Airbag Simulation | Literally Blowing Stuff Up in Blender
I was reading a paper about airbag deployment simulation in LS-DYNA the other day and thought, wouldn't it be cool to do this in Blender and to blow up Suzanne (the monkey) literally and inflating it like a balloon? Paper: https://goo.gl/22EyDC
From playlist Destruction Physics Demos
Yes. I make mistakes ... rarely. http://www.flippingphysics.com
From playlist Miscellaneous
IRA Tries to Assassinate Margaret Thatcher (1984) | A Day That Shook the World
A Day That Shook the World recalls the days of the 20th century that proved to be era-defining and pivotal in the course of modern history. These are the days on which political revolutions, technological breakthroughs, and sporting triumphs took place, and whose effects were felt the worl
From playlist Terror Bombings
Invasion of Iraq: How the British and Americans got it wrong
Strategy of the Iraq invasion by US and UK armies/politicians
From playlist History and Biographies
How To (Safely) Demolish A Building
When demolition companies “blow up” a skyscraper, they’re actually imploding the structure. So how do they collapse a building without destroying everything around it? Learn more at HowStuffWorks.com: http://science.howstuffworks.com/engineering/structural/building-implosion.htm Share on
From playlist Wackiest Comment Threads
Veggie Blast High-Speed Footage | MythBusters
So as it turns out, when you put a blasting cap 2 inches away from vegetables, their outsides remain intact while their insides turn to juice or mush. No, really. Watch. Did you miss the last episode of MythBusters? Catch up on Discovery GO! https://www.discoverygo.com/mythbusters/ Subs
From playlist MythBusters
Tommaso de Fernex: Arc spaces and singularities in the minimal model program - Lecture 2
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
How Continent-Sized Dust Storms Form
This episode is sponsored by Wren, a website where you calculate your carbon footprint. Sign up to make a monthly contribution to offset your carbon footprint or support rainforest protection projects: https://www.wren.co/start/scishow In the future, we may see more continent-sized dust s
From playlist Uploads
Fall of Berlin Wall (1989) | A Day That Shook the World
A Day That Shook the World recalls the days of the 20th century that proved to be era-defining and pivotal in the course of modern history. These are the days on which political revolutions, technological breakthroughs, and sporting triumphs took place, and whose effects were felt the worl
From playlist THE BERLIN WALL (1961-1989)
Maria Aparecida Soares Ruas: Invariants of determinantal varieties
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
De Giorgi–Nash–Moser and Hörmander theories: New interplays – Clément Mouhot – ICM2018
Mathematical Physics | Partial Differential Equations Invited Lecture 11.8 | 10.9 De Giorgi–Nash–Moser and Hörmander theories: New interplays Clément Mouhot Abstract: We report on recent results and a new line of research at the crossroad of two major theories in the analysis of partial
From playlist Partial Differential Equations
François Delarue - Stochastic control for large population driven by correlated noises
François Delarue (Université de Nice) I will discuss recent advances in large population stochastic control, in the spirit of the pioneering by Lasry and Lions and by Caines and Malhamé in 2006. The basic point is to seek approximate equilibria over families of interacting players when t
From playlist Schlumberger workshop on Topics in Applied Probability
From continuous rational to regulous functions – Krzysztof Kurdyka & Wojciech Kucharz – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.6 From continuous rational to regulous functions Krzysztof Kurdyka & Wojciech Kucharz Abstract: Let X be an algebraic set in ℝⁿ. Real-valued functions, defined on subsets of X, that are continuous and admit a rational representation have s
From playlist Algebraic & Complex Geometry
Jugal Garg: ETR Completeness for Decision Versions of Multi Player Symmetric Nash Equilibria
As a result of some important works, the complexity of 2-player Nash equilibrium is by now well understood, even when equilibria with special properties are desired and when the game is symmetric. However, for multi-player games, when equilibria with special properties are desired, the onl
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Live CEOing Ep 150: Game Theory in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Visualization Features in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Singular Learning Theory - Seminar 25 - Jet schemes I
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. This week Dan gives the first in a series of talks about jet schemes and arc schemes, an alternative point of view on the information present in
From playlist Singular Learning Theory
Here is a demonstration of the doppler effect.
From playlist All Demonstrations
Intractability in Algorithmic Game Theory - Tim Roughgarden
Tim Roughgarden Stanford University March 11, 2013 We discuss three areas of algorithmic game theory that have grappled with intractability. The first is the complexity of computing game-theoretic equilibria, like Nash equilibria. There is an urgent need for new ideas on this topic, to ena
From playlist Mathematics