Reversible computing | Models of computation

Billiard-ball computer

A billiard-ball computer, a type of conservative logic circuit, is an idealized model of a reversible mechanical computer based on Newtonian dynamics, proposed in 1982 by Edward Fredkin and Tommaso Toffoli. Instead of using electronic signals like a conventional computer, it relies on the motion of spherical billiard balls in a friction-free environment made of buffers against which the balls bounce perfectly. It was devised to investigate the relation between computation and reversible processes in physics. (Wikipedia).

Billiard-ball computer
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Low sea in the square with diamonds

Apologies for the pun, Sir Paul. Today's color scheme is for all the JoJo fans whose existence I recently discovered. Welcome to this channel! The billiard in a square has a fairly simple dynamics. In geometric optics, the wave front is simply an expanding circle, folded back on itself alo

From playlist Billiards in polygons

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The hexagonal quantum billiard: real part of the wave function

A solution to Schrödinger's equation in a hexagonal domain. Unlike previous simulations on this channel, this one shows the real part of the wave function, in order to highlight the wavelike behavior. We will see other representations later this week. The initial state is a Gaussian wave p

From playlist Billiards in polygons

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A perfect wave front in the Bermuda triangle billiard

A wave front in a medium without dispersion or interference (geometric optics approximation), starting from the center of an equilateral triangle, and reflected from the boundary of the triangle. This is analogous to the video https://youtu.be/03E8bBrTymo but with more symmetry, due both t

From playlist Wave fronts in billiards (Geometric optics approximation)

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3D Printed Hacker Computer #shorts

I designed this 3D printed hacker computer. All you need is a cell phone. Download link: https://www.thingiverse.com/thing:2855723 #halloween #prop #cellphone #diy

From playlist Shorts

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Computer Basics: What Is a Computer?

Computers are all around us, and they play an important role in our lives. But what exactly is a computer? We're going to answer that question and give you an overview of some of the different types of computers you might use. 0:00 Intro 0:22 Ones and zeros 0:39 Hardware and software 1:0

From playlist Starting out with Technology

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Who Has The Best Quantum Computer?

This is a summary of all the main companies building quantum computers today, and what their most powerful machines are. You can get the digital image here: https://www.flickr.com/photos/95869671@N08/51849762629/in/dateposted-public/ But we can’t simply look at qubits counts because so man

From playlist Quantum Physics Videos - Domain of Science

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Waves in a seven-pointed star

Today we have another somewhat festive video, showing a wave in a star-shaped domain, this time in a seven-pointed star, just because it produces some nice patterns - and in higher resolution for good measure. This animation has two parts, in which the colors show, respectively, the energy

From playlist Billiards in polygons

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Nintendo Amusement Park

Video commerical of the Nintendo Amusement Park

From playlist Classic HowStuffWorks

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Quantum Ergodicity for the Uninitiated - Zeev Rudnick

Zeev Rudnick Tel Aviv University; Member, School of Mathematics October 26, 2015 https://www.math.ias.edu/seminars/abstract?event=47561 A key result in spectral theory linking classical and quantum mechanics is the Quantum Ergodicity theorem, which states that in a system in which the cl

From playlist Members Seminar

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A tale of two conjectures: from Mahler to Viterbo - Yaron Ostrover

Members' Seminar Topic: A tale of two conjectures: from Mahler to Viterbo. Speaker: Yaron Ostrover Affiliation: Tel Aviv University, von Neumann Fellow, School of Mathematics Date: November 19, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Playing a Game on a MC14500 1-bit Single Board Computer!

Once upon a time, I built up a 1-bit computer on a breadboard based around the Motorola MC14500 1-bit Industrial Control Unit microprocessor (link below to that playlist). It was epic and I loved it, but I also loved having my breadboard to do prototyping on. So, I tore it down after filmi

From playlist 1-Bit Breadboard Computer

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New Methods in Finsler Geometry - 23 May 2018

http://www.crm.sns.it/event/415 Centro di Ricerca Matematica Ennio De Giorgi The workshop has limited funds to support lodging (and in very exceptional cases, travel) costs of some participants, with priority given to young researchers. When you register, you will have the possibility to

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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From hyperbolic billiards to statistical physics - Peter Nandori

Analysis Seminar Topic: From hyperbolic billiards to statistical physics Speaker: Peter Nandori Affiliation: Yeshiva University; Member, School of Mathematics Date: April 19, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Symplectic embeddings, integrable systems and billiards - Vinicius Ramos

Symplectic Dynamics/Geometry Seminar Topic: Symplectic embeddings, integrable systems and billiards Speaker: Vinicius Ramos Affiliation: Member, School of Mathematics Date: January 27, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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How to recognize billiard strings #SOME2

For the curious, "Sturmian sequences" are the name for balanced binary strings that are also infinite and not eventually periodic. Sturmian sequences are related in some very cool ways to continued fractions and several other topics. That may be the subject of Part 3, if I ever get that fa

From playlist Summer of Math Exposition 2 videos

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IMS Public Lecture: Butterflies, Cats, and Billiards in Polygons

Anton Zorich, Université Paris Diderot - Paris 7, France

From playlist Public Lectures

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Reflections on the Game of Billiards

Asaf Hadari, Gibbs Assistant Professor in the Yale Mathematics Department, gives a lecture during the Math Mornings at Yale on Reflections on the Game of Billiards. Math Mornings is a series of public lectures aimed at bringing the joy and variety of mathematics to students and their fami

From playlist Math Mornings at Yale

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Sending a Problem to the D-Wave Quantum Computer

Animation showing the process when a user submits a problem to the D-Wave quantum computer. Video made by: Dominic Walliman https://twitter.com/DominicWalliman Learn more about D-Wave and the first commercial quantum computers at https://www.dwavesys.com/

From playlist Videos I made for D-Wave Systems

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Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 5/27/22

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Three 20-minute research talks Speaker: Daniel Rudolf (Ruhr-Universität Bochum): Viterbo‘s conjecture for Lagrangian products in ℝ4 We show that Viterbo‘s conjecture (for the EHZ-capacity) for convex Lagrangian pro

From playlist Mathematics

Related pages

Second-order cellular automaton | Block cellular automaton | Reversible computing | Reversible cellular automaton | Boolean circuit | Toffoli gate