In Boltzmann's billiard a particle moves in a half-plane subject to a central force and is reflected elastically when it hits the boundary. Boltzmann took the central force to be the sum of a gravitational inverse-square-law force and a centrifugal term proportional to the inverse cube of the distance to the centre. He formulated the expectation that except for special values of the parameters the system would be chaotic and would obey his Ergodic Hypothesis. Recently Gallavotti and Jauslin showed that the system is integrable if the centrifugal term is omitted: it has a second conserved quantity besides the energy. I will review this result and show that this integrable Boltzmann system has the Poncelet property: if in a level set of the conserved quantities a trajectory is periodic then all trajectories on the level set are periodic. As for the classical Poncelet theorem on inscribed-circumscribed polygons in Jacobi's interpretation, the result relies on the theory of elliptic curves. I will also present some work in progress with Misha Feigin on Boltzmann's table tennis, the three dimensional version of Boltzmann's integrable system, and the relation to QRT maps on biquadratic plane curves.

One world IAMP mathematical physics seminar

Giovanni Felder: Boltzmann's billiard and table tennis

Marshall Goldsmith's current book, What Got You Here Won't Get You There: How Successful People Become Even More Successful, is a New York Times best-seller and was ranked as America's #1 best-selling business book in The Wall Street Journal. Dr. Goldsmith identifies 20 bad habits, mostly behavioral problems, that hinder high achievers from reaching future goals and suggests methods for promoting behavior change.

Marshall Goldsmith received his Ph.D. from UCLA. He teaches executive education at Dartmouth's Tuck School and frequently speaks at leading business schools. Dr. Goldsmith is co-founder of Marshall Goldsmith Partners, a network of top-level executive coaches.

What Got You Here Won't Get You There | Marshall Goldsmith | Talks at Google

The Simpsons Butterfinger Commercial Collection 2.0
By Fry J. Apocaloso
CHECK THIS OUT: https://www.youtube.com/watch?v=Ye5LlgibZ44&t=2s&ab_channel=FryJ.Apocaloso

#thesimpsons #butterfinger #animation

The Simpsons - ALL Butterfinger Commercial Collection (1988 - 2001)

10 Movies With Bloopers Edited In The Final Cut! 
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In the world of filmmaking, we often imagine everything as being perfectly planned, rehearsed, choreographed, and perfect. But as most of us should know, there is no such things as perfection. Filmmakers are well acquainted with Murphy’s Law, which basically states that what can go wrong will go wrong. But hey, that’s life. Things don’t always go as planned. Not even in the seemingly perfect world of movie magic. It doesn’t matter how much you rehearse something, things can always take a turn for the worst. And sometimes mistakes can turn out to be a good thing and make scenes in films a lot better. These mistakes, or enhancements, are sometimes left in the final cuts of the films. Such is the case for several movies that we will be discussing today.
In Marvel’s Guardians of the Galaxy, Star-Lord tries to hand over the orb that unbeknownst to him contains an Infinity Stone. But he ends up dropping it and without missing a beat grabs it and continues to hand it over to the Collector. This drop was a total mistake but it fits Star Lord’s dorky personality don’t you think? 
Did you know that the scene where Aragorn kicks a helmet and drops down screaming in agony was a mistake? No it wasn’t just the anguish of thinking Merry and Pippin were dead, Viggo Mortensen actually broke his toes when he did that take.
Want to know what else made our list? Watch our video and find out.

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Movie Mistakes So Perfect They Were Left In COMPILATION

Scouting Trip To Mexico 🇲🇽 | Black Women Abroad | In the last few week Kathy @wellsideretreats has 1. Decluttered and downsized 2. Started house sitting 3. Taken a trip to Mexico to check out a couple potential cities for her expat life.  4. Stayed in a hostel for the first time 5. Started her YouTube channel: https://www.youtube.com/channel/UC853pYj3CM6SwzFZ31uAUeg/featured  Join us live and bring your questions! 🧰 Resources mentioned in this video: 

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🧰 WORK FROM ANYWHERE TOOLKIT: https://exodussummit.com/toolkit

📺 AM I TOO OLD TO STAY IN A HOSTEL? STAYING IN HOSTELS OVER 30: https://youtu.be/Hq3w6X3Fw5w

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First Scouting Trip To Mexico 🇲🇽+ First Housesits + Staying in Hostels over 40 | Black Women Abroad

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The third biggest political party in the country, the Economic Freedom Fighters is marking Freedom Day celebrations in Mamelodi, Tshwane. Let's take you live there...


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