In chaos theory, the butterfly effect is the sensitive dependence on initial conditions; where a small change at one place in a nonlinear system can result in large differences to a later state. For example, the presence or absence of a butterfly flapping its wings could lead to creation or absence of a hurricane. Although the butterfly effect may appear to be an esoteric and unusual behavior, it is exhibited by very simple systems: for example, a ball placed at the crest of a hill might roll into any of several valleys depending on slight differences in initial position. The term "butterfly effect" itself is related to the meteorological work of Edward Lorenz, who popularized the term. The butterfly effect is a common trope in fiction when presenting scenarios involving time travel and with "what if" cases where one storyline diverges at the moment of a seemingly minor event resulting in two significantly different outcomes. Fair Use "Copyright Disclaimer, Under Section 107 of the Copyright Act 1976, allowance is made for ‘fair use’ for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use."

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