Chaos  Chapter 1 : Motion and determinism  Panta Rhei
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Formal Metadata
Title 
Chaos  Chapter 1 : Motion and determinism  Panta Rhei

Title of Series  
Part Number 
1

Number of Parts 
9

Author 

Contributors 

License 
CC Attribution  NonCommercial  NoDerivatives 3.0 Unported:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and noncommercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
Identifiers 

Publisher 
Joe Leys, Étienne Ghys, Aurélien Alvarez

Release Date 
2012

Language 
English

Producer 

Content Metadata
Subject Area 
00:00
Chaos (cosmogony)
00:37
Cue sports
Casting (performing arts)
Collision
Computer animation
Logic
Multiplication sign
Mathematician
Position operator
Number
2 (number)
06:06
Standard deviation
Division (mathematics)
Term (mathematics)
Units of measurement
Flag
06:17
Summation
Large eddy simulation
Amsterdam Ordnance Datum
6 (number)
Principle of relativity
Units of measurement
Maxima and minima
Newton's law of universal gravitation
06:28
Calculation
Multiplication sign
Trajectory
Principle of relativity
Energy level
Prediction
Infinity
Table (information)
Units of measurement
Friction
Hand fan
Position operator
09:14
Cue sports
Statistics
Group action
State of matter
Moment (mathematics)
Chaos (cosmogony)
Point cloud
Bilinear form
Theory
Number
Mathematics
Mathematics
Computer animation
Average
Natural number
Object (grammar)
Table (information)
Position operator
Physical system
13:08
Mathematics
Computer animation
Chaos (cosmogony)
Mathematical model
Quantum state
00:04
and that everything slows everything this is the message of Jericho I just 2 thousand 500 years the the fact that movie around this
00:40
contains a large number of Mont the concept collide like the billiard he call for a back our
01:36
a sale of everything even my rocking chairs carried by the earth its race rock for the fact that but for years humans and observe these In gradually have tried predicts but 1st astrologers when scientists and especially mathematician by the way many mathematicians of cast using the motion of the stars protect our future is an old dream all but but put off In the mathematical world about us as well everything is in motion that Hong Kong as a 3rd a logic you off stop new deaths 2 seconds Of course a continue straight on like so after addiction was you see this time things are a bit harder stock a obviously the ball hit the edge of the lake where will you go next madam dishes can calculate future position also functional time this is already a success a mail they can ease how they will have to most a graduate of his hosts of France said if I know the situation out there In principle I should be able to determine the situation of late cheer for example what will be the path of ritual In making the player must hit 2 balls with Cuba every he did In you not us the theme of clear not bad the pound the at a time you if I read the paper
06:10
today I predict in principle what will
06:13
happen in the world a month from because
06:19
forced you must not think that this film will
06:21
help you predict the future while
06:26
you can the let's go back
06:36
to the blue chip but now with 50 a legend perfect he recalls role without friction after the huge strikes cue ball the movement is complicated Joey we predict his movement Of course we can the after all are computer makers images made many many calculation it's clear that the balls followed rectilinear trajectories as they bounce off of it a mail there are many college but we take enough time for we calculate very quickly we can predict their trajectory stepbystep collusion after which earlier the computer can easily calculated position which you go in 1 hour now but this takes only calculation far exceed the ability of human prediction in principle perhaps but in practice every the 1 of balls a few centimeters but the true pool tables are almost identical I only 1 ball is slightly out of place we should think you the movement on the table starts off the same way but after a little while not too long the trajectories become completely different after the at all after all L any hour all code if we want to predict the future we can do so but we need to know him positions of all on the table and there's so many of the small uncertainty but a single shatters any hope of determining the future half of Cuba but choose the classic definition determined as a matter plots in 1814 when the
09:17
emerged consider that president state took you has the effect of procedures state and his code Paul what we've put and religion which at a given moment would know older horses by which nature is made and the position cold they have Rick object if indeed it was powerful enough for me they to and would break In a single form the movements of the glitches but he is the union and the lives of the lightest at actually nothing would be voted for it and would sure as the past which had before How can we understand the movements of celestial body my From located at them watch this computer simulation of a fictional solar system with 2 sons and just 1 plant please and a it's a bit like a a billiard table we computer Kentucky step by step the movement can't predict the fate of the system Will the small planet when they collide with 1 of the sons by a In but we could predict the future yes we had including college this is not a case of Fortune or perhaps fortunate In way what concerns do if we cannot predict the future among well if we're willing to be less ambitious and more modest we can still make some very useful for this requires it different beyond terminus we will not try to predict the future position of amongst a cloud of other balls a rather look for a probability the purpose of the forecast is no longer determined temperature Paris on specific they can use in the future that is possible but rather to try and take averages statistics for example the number of hurricanes crossing the Atlantic in 1 season probabilities rather than certainties that is a big change of respect there's a whole world between theory and practice