Chaos | Chapter 1 : Motion and determinism - Panta Rhei

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and that everything slows everything this is the message of Jericho I just 2 thousand 500 years the the fact that movie around this
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today I predict in principle what will
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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 step-by-step 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
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
Mathematische Logik
Billard <Mathematik>
Einheit <Mathematik>
Fahne <Mathematik>
Einheit <Mathematik>
Einheit <Mathematik>
Fächer <Mathematik>
Trajektorie <Mathematik>
Natürliche Zahl
Physikalisches System
Billard <Mathematik>
Physikalische Theorie
Objekt <Kategorie>


Formale Metadaten

Titel Chaos | Chapter 1 : Motion and determinism - Panta Rhei
Serientitel Chaos - A mathematical adventure
Teil 1
Anzahl der Teile 9
Autor Leys, Joe (Images and Animations)
Ghys, Étienne (Scenario and Mathematics)
Alvarez, Aurélien (Image Rendering and Post-production)
Mitwirkende Schleimer, Saul (Speaker)
MacLeod, Kevin (Music)
Grant, John Lewis (Music)
Beffa, Karol (Music)
Hensley, Mark (Music)
Lizenz CC-Namensnennung - keine kommerzielle Nutzung - keine Bearbeitung 3.0 Unported:
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DOI 10.5446/14656
Herausgeber Joe Leys, Étienne Ghys, Aurélien Alvarez
Erscheinungsjahr 2012
Sprache Englisch
Produzent École Normale Supérieure de Lyon (ENS-Lyon)

Inhaltliche Metadaten

Fachgebiet Mathematik

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