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In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state.
Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals and self-organization. The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state. A metaphor for this behavior is that a butterfly flapping its wings in Brazil can cause a tornado in Texas.
Quantum chaos is a branch of physics focused on how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question that quantum chaos seeks to answer is: "What is the relationship between quantum mechanics and classical chaos?" The correspondence principle states that classical mechanics is the classical limit of quantum mechanics, specifically in the limit as the ratio of the Planck constant to the action of the system tends to zero. If this is true, then there must be quantum mechanisms underlying classical chaos. If quantum mechanics does not demonstrate an exponential sensitivity to initial conditions, how can exponential sensitivity to initial conditions arise in classical chaos, which must be the correspondence principle limit of quantum mechanics?
In the fantasy role-playing game Dungeons & Dragons, an Outer Plane is one of a number of general types of planes of existence. They can also be referred to as godly planes, spiritual planes, or divine planes. The Outer Planes are home to beings such as deities and their servants such as demons, celestials and devils. Each Outer Plane is usually the physical manifestation of a particular moral and ethical alignment and the entities that dwell there often embody the traits related to that alignment.
Chaotic was originally a Danish trading card game. It expanded to an online game in America which then became a television program based on the game. The program aired on 4Kids TV, Jetix, The CW4Kids, Cartoon Network and Disney XD. It was brought over to the United States from Denmark by Bryan C. Gannon and Chaotic USA Entertainment Group, and produced by Chaotic USA Entertainment Group, 4Kids Productions and Bardel Entertainment. The trading card game came out 6 September 2006 in the U.S. and Canada.
In the Dungeons & Dragons (D&D) fantasy role-playing game, alignment is a categorization of the ethical and moral perspective of player characters, non-player characters, and creatures.
Lineage II is a massively multiplayer online role-playing game (MMORPG) for Windows and the second game in the Lineage series. It is a prequel to Lineage and is set 150 years before the first game. It has become popular since its October 1, 2003 launch in South Korea, reporting 40,027,918 unique users during the month of March 2007. To date, the game has been played by more than 94 million users from all over the world.
Britney and Kevin: Chaotic is an American reality television series created and directed by Anthony E. Zuiker. Starring pop singer Britney Spears and her then-husband Kevin Federline, the five-episode series aired on UPN from May 17 to June 14, 2005. The series chronicles the couple's relationship from their courtship, engagement and wedding.
In lab experiments that study chaos theory, approaches designed to control chaos are based on certain observed system behaviors. Any chaotic attractor contains an infinite number of unstable, periodic orbits. Chaotic dynamics, then, consists of a motion where the system state moves in the neighborhood of one of these orbits for a while, then falls close to a different unstable, periodic orbit where it remains for a limited time and so forth. This results in a complicated and unpredictable wandering over longer periods of time.
Chaotic is an American animated science fantasy television series produced by 4Kids Entertainment. It was animated by Canadian studio Bardel Entertainment for season 1 and South Korean studio Dong Woo Animation for season 2 and 3. It is based on the Danish trading card game of the same name, with most of the plot based on the original storyline of the Danish trading card game.
Chaotic Wrestling, stylized as CHAOTIC, is an American independent wrestling promotion, which has been operating throughout New England since 2000; with its current home base in North Andover, Massachusetts.
Chaotic bubbles within physics and mathematics, occur in cases when there are any dynamic processes that generate bubbles that are nonlinear. Many exhibit mathematically chaotic patterns consistent with chaos theory. In most systems, they arise out of a forcing pressure that encounters some kind of resistance or shear factor, but the details vary depending on the particular context.
Max Pelham is an American retired professional wrestler best known for his work in the developmental territory, NXT, under the ring name Mickey Keegan. Pelham is also known for his appearances on the independent circuit in the Northeastern United States as Max Bauer.
Hydaspis Chaos is a region in the Oxia Palus quadrangle of Mars, located at 3.2° north latitude and 27.1° west longitude. The region is about 355 km across. It was named after a classical albedo feature.
Britney & Kevin: Chaotic is the second extended play (EP) by American singer Britney Spears. It was released on September 21, 2005, by Jive Records, to accompany the DVD release for Spears' UPN reality television series Britney and Kevin: Chaotic (2005). The EP featured three songs–"Chaotic", "Someday " and "Mona Lisa".
Chaos terrain on Mars is distinctive; nothing on Earth compares to it. Chaos terrain generally consists of irregular groups of large blocks, some tens of kilometers across and a hundred or more meters high. The tilted and flat topped blocks form depressions hundreds of metres deep. A chaotic region can be recognized by a rat's nest of mesas, buttes, and hills, chopped through with valleys which in places look almost patterned. Some parts of this chaotic area have not collapsed completely—they are still formed into large mesas, so they may still contain water ice. Chaos regions formed long ago. By counting craters and by studying the valleys' relations with other geological features, scientists have concluded the channels formed 2.0 to 3.8 billion years ago.
James "Jim" McCarthy is an American professional wrestler and trainer, best known by his ring name Dukes Dalton. He competes on the independent circuit in the Northeastern United States. He has wrestled for the Century Wrestling Alliance, the National Wrestling Alliance, and Chaotic Wrestling where he was inducted into its hall of fame in 2008. He also made brief appearances in the World Wrestling Federation in 1999 and 2001, both as a singles wrestler and with tag team partner Knuckles Nelson.
References
- ↑ Black, J. (2010). The Ultimate Guide to All Things Chaotic. Grosset & Dunlap. p. 182. ISBN 978-0-448-45397-2