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Mandelbrot set

Mandelbrot set
Initial image of a Mandelbrot set zoom sequence with a continuously colored environment Mandelbrot animation based on a static number of iterations per pixel remains bounded.[1] That is, a complex number c is part of the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn remains bounded however large n gets. For example, letting c = 1 gives the sequence 0, 1, 2, 5, 26,…, which tends to infinity. As this sequence is unbounded, 1 is not an element of the Mandelbrot set. Images of the Mandelbrot set display an elaborate boundary that reveals progressively ever-finer recursive detail at increasing magnifications. The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from the application of simple rules, and is one of the best-known examples of mathematical visualization. History[edit] The first picture of the Mandelbrot set, by Robert W. The Mandelbrot set

Edward Norton Lorenz Edward Norton Lorenz (May 23, 1917 – April 16, 2008)[1][2] was an American mathematician and meteorologist, and a pioneer of chaos theory.[3] He introduced the strange attractor notion and coined the term butterfly effect. Biography[edit] Lorenz was born in West Hartford, Connecticut.[4] He studied mathematics at both Dartmouth College in New Hampshire and Harvard University in Cambridge, Massachusetts. From 1942 until 1946, he served as a meteorologist for the United States Army Air Corps. After his return from World War II, he decided to study meteorology.[2] Lorenz earned two degrees in the area from the Massachusetts Institute of Technology where he later was a professor for many years. Two states differing by imperceptible amounts may eventually evolve into two considerably different states ... Awards[edit] Work[edit] Lorenz built a mathematical model of the way air moves around in the atmosphere. See also[edit] Publications[edit] Lorenz published several books and articles.

Figures for &Impossible fractals& Figures for "Impossible fractals" Cameron Browne Figure 1. The tri-bar, the Koch snowflake and the Sierpinski gasket. Figure 2. Figure 3. Figure 4. Figure 5. Figure 6. Figure 7. Figure 8. Figure 9. Figure 10. Figure 11. Figure 12. Figure 13. 45° Pythagorean tree, balanced 30° Pythagorean tree and extended tri-bar. Figure 14. Figure 15. Figure 16. Bit By Bit, 'The Information' Reveals Everything The InformationBy James GleickHardcover, 544 pagesPantheonList Price: $29.95 We can see now that information is what our world runs on: the blood and the fuel, the vital principle. It pervades the sciences from top to bottom, transforming every branch of knowledge. Information theory began as a bridge from mathematics to electrical engineering and from there to computing. What English speakers call "computer science" Europeans have long since known as informatique, informatica, and Informatik. "The information circle becomes the unit of life," says Werner Loewenstein after thirty years spent studying intercellular communication. Economics is recognizing itself as an information science, now that money itself is completing a developmental arc from matter to bits, stored in computer memory and magnetic strips, world finance coursing through the global nervous system. And atoms? And then, all at once, they did. How much does it compute?

Manifestatioon Theory The Omega Theory: Everything Is Information What if the universe is nothing more than an incredibly intricate computer program? Sounds a bit Matrix-y, yeah? But apparently famed physicist John Archibald Wheeler theorized this "It From Bit" idea -- that literally everything in the universe could be described with 'yes' or 'no' binary choices -- near the end of his career. And it's an idea still being kicked around in some scientific circles. This It From Bit theory is the basis for Mark Alpert's taut, fast-paced scientific thriller The Omega Theory. Only Alpert poses the question: If the universe is a computer program, what could cause it to crash? As our thriller opens, Columbia University science historian David Swift and his wife, physicist Monique Reynolds, are opening a Physicists for Peace conference in New York City. We soon learn, though, that the nuclear test may not be quite what it seems.

Dragon A dragon is a legendary creature, typically with serpentine or reptilian traits, that features in the myths of many cultures. There are two distinct cultural traditions of dragons: the European dragon, derived from European folk traditions and ultimately related to Greek and Middle Eastern mythologies, and the Chinese dragon, with counterparts in Japan (namely the Japanese dragon), Korea and other East Asian countries.[1] The two traditions may have evolved separately, but have influenced each other to a certain extent, particularly with the cross-cultural contact of recent centuries. The English word "dragon" derives from Greek δράκων (drákōn), "dragon, serpent of huge size, water-snake".[2] Name Dragon head on a roof of a temple in Taiwan Morphology Dragons are usually shown in modern times with a body like a huge lizard, or a snake with two pairs of lizard-type legs, and able to emit fire from their mouths. Comparative mythology Saint George Killing the Dragon, 1434/35, by Martorell Europe

Scientists Say California Mega-Quake Imminent Like a steaming kettle with the top on, pressure is building beneath the surface of California that could unleash a monster earthquake at any time. That's according to a new study from the Scripps Institute of Oceanography. Geologists say Southern California is long overdue for a huge earthquake that could unleash widespread damage. It all comes down to the Salton Sea, which lies to the east of San Diego. A big earthquake has hit the lake bed about every 180 years. Sounds like a good thing, right? This sobering news comes just as a new poll is released that details Californians fears about earthquakes and other natural disasters. Earthquake 57% Wildfire 23% Tsunami/Tidal Wave 9% Flood/Mudslide 5% Other/No Opinion 6%

Lilith - semen demon or feminist icon? Exactly who or what is Lilith? Now regarded by Jewish esoteric tradition to be one of the four queens of demons, the nature of Lilith has undergone many reinterpretations throughout Jewish history. [Illustration: etching of Lilith on a metal amulet] The origins of Lilith are probably found in the Mesopotamian lilu, or “aerial spirit.” Furthermore, the characterization of Lilith as a named demonic personality really only begins late in antiquity. Jewish tradition gradually fixes on lilith as a female demon. Other sources describe her as a kind of succubus, seducing men in their sleep and then collecting their nocturnal emissions in order to breed demonic offspring (Shab. 151b) (See earlier entry, "Spawns of Satan"). The use of “Lilith” as the proper name of a specific demonic personality first appears in the Midrash. In answer to your question concerning Lilith, I shall explain to you the essence of the matter.

Alexei_Kurakin: The SOFT-NET theory "SOFT-NET" stands for the self-organizing fractal theory (SOFT) and nonequilibrium thermodynamics (NET). One of the key postulates of the SOFT-NET theory posits that everything that exists is a manifestation of the energy/matter comprising and flowing through the Universe. From this perspective, everything is connected to everything else via an all-embracing and all-permeating energy/matter flow, everything is in a flux, and everything changes through the emergence and transformation of energy/matter forms. The resulting structure (a fractal tree) is self-similar.

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