The Butterfly Effect: How Your Life Matters

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In The Vocation of Man (1800), Johann Gottlieb Fichte says "you could not remove a single grain of sand from its place without thereby ... changing something throughout all parts of the immeasurable whole".

The Butterfly Effect by James Swallow | Goodreads

So it goes. While Lamar never stops asking difficult questions, Moore asks too few. If you really want a better understanding of the rapper’s complexities, listen to Cole Cuchna’s excellent Dissect podcast or, better yet, Lamar’s own records. Because what do these soul-searching investigations into his past and present add up to if not an ongoing autobiography? While the "butterfly effect" is often explained as being synonymous with sensitive dependence on initial conditions of the kind described by Lorenz in his 1963 paper (and previously observed by Poincaré), the butterfly metaphor was originally applied [1] to work he published in 1969 [21] which took the idea a step further. Lorenz proposed a mathematical model for how tiny motions in the atmosphere scale up to affect larger systems. He found that the systems in that model could only be predicted up to a specific point in the future, and beyond that, reducing the error in the initial conditions would not increase the predictability (as long as the error is not zero). This demonstrated that a deterministic system could be "observationally indistinguishable" from a non-deterministic one in terms of predictability. Recent re-examinations of this paper suggest that it offered a significant challenge to the idea that our universe is deterministic, comparable to the challenges offered by quantum physics. [22] [23] The term is closely associated with the work of mathematician and meteorologist Edward Norton Lorenz. He noted that the butterfly effect is derived from the metaphorical example of the details of a tornado (the exact time of formation, the exact path taken) being influenced by minor perturbations such as a distant butterfly flapping its wings several weeks earlier. Lorenz originally used a seagull causing a storm but was persuaded to make it more poetic with the use of a butterfly and tornado by 1972. [1] [2] He discovered the effect when he observed runs of his weather model with initial condition data that were rounded in a seemingly inconsequential manner. He noted that the weather model would fail to reproduce the results of runs with the unrounded initial condition data. A very small change in initial conditions had created a significantly different outcome. [3]In 1963, Lorenz published a theoretical study of this effect in a highly cited, seminal paper called Deterministic Nonperiodic Flow [3] [11] (the calculations were performed on a Royal McBee LGP-30 computer). [12] [13] Elsewhere he stated: The Ray Bradbury Theater — Season 4, Episode 6: A Sound of Thunder". TV.com. Archived from the original on November 6, 2016 . Retrieved February 4, 2019. A Sound of Thunder" is a science fiction short story by American writer Ray Bradbury, first published in Collier's magazine in the June 28, 1952, issue and later in Bradbury's collection The Golden Apples of the Sun in 1953. [1] Plot summary [ edit ]

The Butterfly Effect: An Interview With Jon Ronson The Butterfly Effect: An Interview With Jon Ronson

Flam, Faye (June 15, 2012). "The Physics of Ray Bradbury's 'A Sound of Thunder' ". The Philadelphia Inquirer . Retrieved September 2, 2015. In 1950, Alan Turing noted: "The displacement of a single electron by a billionth of a centimetre at one moment might make the difference between a man being killed by an avalanche a year later, or escaping." [7] A dynamical system displays sensitive dependence on initial conditions if points arbitrarily close together separate over time at an exponential rate. The definition is not topological, but essentially metrical. Lorenz [24] defined sensitive dependence as follows:More precisely, though, almost the exact idea and the exact phrasing —of a tiny insect's wing affecting the entire atmosphere's winds— was published in a children's book which became extremely successful and well-known globally in 1962, the year before Lorenz published: Following proposals from colleagues, in later speeches and papers, Lorenz used the more poetic butterfly. According to Lorenz, when he failed to provide a title for a talk he was to present at the 139th meeting of the American Association for the Advancement of Science in 1972, Philip Merilees concocted Does the flap of a butterfly's wings in Brazil set off a tornado in Texas? as a title. [1] Although a butterfly flapping its wings has remained constant in the expression of this concept, the location of the butterfly, the consequences, and the location of the consequences have varied widely. [14] In 1961, Lorenz was running a numerical computer model to redo a weather prediction from the middle of the previous run as a shortcut. He entered the initial condition 0.506 from the printout instead of entering the full precision 0.506127 value. The result was a completely different weather scenario. [9] A Game Boy Advance video game based on the film was also released. It was finished in time for the film's planned 2003 release, delayed along with it, and ultimately released in February 2005. [6] Planned console ports were canceled. A comic-book version appeared in issue #25 of EC Comics's Weird Science-Fantasy (1954), adapted by Al Feldstein with art by Al Williamson and Angelo Torres. [2]