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The unpredictability of the double pendulum.

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Interesting things

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2,516,646 次观看 • 6 个月前 •via X (Twitter)

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Chaos and the double pendulum: the configuration space of the double pendulum is a torus (a circle for each angle coordinate) so we can plot the evolution of such a pendulum in two ways: either as a "real pendulum" in physical space, or as a point in configuration space :)
0:37

Chaos and the double pendulum: the configuration space of the double pendulum is a torus (a circle for each angle coordinate) so we can plot the evolution of such a pendulum in two ways: either as a "real pendulum" in physical space, or as a point in configuration space :)

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Double pendulum. So satisfying. 😊
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⚡Quadruple Pendulum⚡ A quadruple pendulum simulated with no friction. Since it is impossible to achieve that level of certainty, we cannot predict the motion of a pendulum.👇
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⚡Quadruple Pendulum⚡ A quadruple pendulum simulated with no friction. Since it is impossible to achieve that level of certainty, we cannot predict the motion of a pendulum.👇

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A double pendulum demonstrates chaos theory, tracing its unpredictable path The dependence on initial conditions, and sensitivity to variation is one of the fundamental properties of chaos This is commonly referred to as "the butterfly effect,"
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The unpredictability of Raven Against All Odds #OTD in 2005 Quote the Raven, #Nevermore
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Mathematics, physics. We live in a chaotic, unpredictable universe. This is a grid of 812 double pendulums, each with slightly different initial conditions for the two angles of the pendulum. By Jonathan Nafziger, Used with permission
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Mathematics, physics. We live in a chaotic, unpredictable universe. This is a grid of 812 double pendulums, each with slightly different initial conditions for the two angles of the pendulum. By Jonathan Nafziger, Used with permission

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Incredible physics shown by drawing the natural motion of a pendulum.
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Rt. Hon. Boris Johnson, Former Prime Minister of United Kingdom discusses the unpredictability of elections in the Unites States. #WGS25 #WorldGovSummit
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9 days til the release of my next album. As the pendulum Swings ⌛️⏳
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The pendulum is swinging, and Florida Democrats are the force behind it. We know the path forward: organizing early, often, and everywhere. #Pendulum
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