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Chaos theory

Chaos theory
A double rod pendulum animation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions. Chaos: When the present determines the future, but the approximate present does not approximately determine the future. Chaotic behavior can be observed in many natural systems, such as weather and climate.[6][7] This behavior can be studied through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincaré maps. Introduction[edit] Chaos theory concerns deterministic systems whose behavior can in principle be predicted. Chaotic dynamics[edit] The map defined by x → 4 x (1 – x) and y → x + y mod 1 displays sensitivity to initial conditions. In common usage, "chaos" means "a state of disorder".[9] However, in chaos theory, the term is defined more precisely. where , and , is: .

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Moore's law Moore's law is the observation that, over the history of computing hardware, the number of transistors on integrated circuits doubles approximately every two years. The law is named after Intel co-founder Gordon E. Moore, who described the trend in his 1965 paper.[1][2][3] His prediction has proven to be accurate, in part because the law is now used in the semiconductor industry to guide long-term planning and to set targets for research and development.[4] The capabilities of many digital electronic devices are strongly linked to Moore's law: processing speed, memory capacity, sensors and even the number and size of pixels in digital cameras.[5] All of these are improving at roughly exponential rates as well. This exponential improvement has dramatically enhanced the impact of digital electronics in nearly every segment of the world economy.[6] Moore's law describes a driving force of technological and social change in the late 20th and early 21st centuries.[7][8] History[edit]

That Time the U.S. Navy Had a Close Encounter With a UFO The New York Times on Saturday reported on a mysterious interaction between the U.S. Navy and what could only be called UFOs. The sighting, which took place in 2004, involved a U.S. Autopoiesis 3D representation of a living cell during the process of mitosis, example of an autopoietic system. The original definition can be found in Autopoiesis and Cognition: the Realization of the Living (1st edition 1973, 2nd 1980): Page 78: - An autopoietic machine is a machine organized (defined as a unity) as a network of processes of production (transformation and destruction) of components which: (i) through their interactions and transformations continuously regenerate and realize the network of processes (relations) that produced them; and (ii) constitute it (the machine) as a concrete unity in space in which they (the components) exist by specifying the topological domain of its realization as such a network. [1] Page 89:- [...] the space defined by an autopoietic system is self-contained and cannot be described by using dimensions that define another space.

Technological Singularity The technological singularity is the hypothesis that accelerating progress in technologies will cause a runaway effect wherein artificial intelligence will exceed human intellectual capacity and control, thus radically changing civilization in an event called the singularity.[1] Because the capabilities of such an intelligence may be impossible for a human to comprehend, the technological singularity is an occurrence beyond which events may become unpredictable, unfavorable, or even unfathomable.[2] The first use of the term "singularity" in this context was by mathematician John von Neumann. Proponents of the singularity typically postulate an "intelligence explosion",[5][6] where superintelligences design successive generations of increasingly powerful minds, that might occur very quickly and might not stop until the agent's cognitive abilities greatly surpass that of any human. Basic concepts

The Royal Institution Create a wine glass orchestra in your kitchen and explore how sound is caused by vibrations. For more ideas, and to download an info sheet click here: Marieke and Tilly experiment with making music and doing science experiments at home. Using wine glasses filled with different volumes of liquids, they investigate how sounds are caused by vibrations and how changing the volume of liquid affects the pitch of the note. Simply rubbing your fingers around the rim of a glass can make an amazing noise. Butterfly effect In chaos theory, the butterfly effect is the sensitive dependency on initial conditions in which a small change at one place in a deterministic nonlinear system can result in large differences in a later state. The name of the effect, coined by Edward Lorenz, is derived from the theoretical example of a hurricane's formation being contingent on whether or not a distant butterfly had flapped its wings several weeks earlier. Although the butterfly effect may appear to be an unlikely behavior, it is exhibited by very simple systems. For example, a ball placed at the crest of a hill may roll into any surrounding valley depending on, among other things, slight differences in its initial position.

Emerging Memetic Singularity in the Global Knowledge Society 30 April 2009 | Draft IntroductionChecklist of constraintsVarieties of singularity -- Technological singularity | Cognitive singularity | Metasystem transition -- Communication singularity | Globality as singularity | Symmetry group singularity -- Subjective singularity | Spiritual singularity | Singularity of planetary consciousness -- Metaphorical singularityEnd times scenarios -- End of history | 2012 | Timewave theory | Eschatological scenarios | End of science -- End of culture | End of religion | End of civilization | End of security | End of privacy -- End of intelligence | End of ignorance | End of knowing | End of abundance | End of confidence -- End of hope | End of truth | End of faith | End of logic | End of rationality | End of modernism -- End of wisdom | End of tolerance | End of natureBlack holes and Event horizonsConclusion Introduction Historically these were a preoccupation of the Union of Intelligible Associations and are now a focus of Global Sensemaking.

British Science Association The British Science Festival is Europe’s longest standing science Festival, traveling to a different place in the United Kingdom each year. Our Festival aims to connect people with scientists, engineers, technologists and social scientists. Each year, we bring an inspiring programme of free events to the public over four or five days, bursting with exciting opportunities to get involved in. Our talks, workshops and drop-in events span a diverse range of subjects that encompass science in the broadest sense, promising something for everyone! In 2017, the Festival came to Brighton which buzzed with science enthusiasm as we, with our co-hosts University of Sussex and University of Brighton, bought over 200 free events to the city.

Self-organization Self-organization occurs in a variety of physical, chemical, biological, robotic, social and cognitive systems. Common examples include crystallization, the emergence of convection patterns in a liquid heated from below, chemical oscillators, swarming in groups of animals, and the way neural networks learn to recognize complex patterns. Overview[edit] The most robust and unambiguous examples[1] of self-organizing systems are from the physics of non-equilibrium processes. Self-organization is also relevant in chemistry, where it has often been taken as being synonymous with self-assembly.

The Emergence of Collective Intelligence ~Aristotle When we observe large schools of fish swimming, we might wonder who is choreographing that complex and sophisticated dance, in which thousands of individuals move in harmony as if they knew exactly what to do to produce the collective spectacle. So, what is “Emergence”? School of fishes dancing is an example of “emergence”, a process where new properties, behaviors, or complex patterns results of relatively simple rules and interactions.

‘He’s Pavlov and we’re the dogs’: How associative learning really works in human psychology My ears perked up when, in recent weeks, I heard Donald Trump and Ivan Pavlov mentioned twice in connection with each other. After all, I’m an experimental psychologist who journeyed to Russia to conduct conditioning research with Pavlov’s last living student. First, political provocateur Bill O’Reilly wrote online that “Donald Trump is kind of like the Russian psychologist Ivan Pavlov.

SIN Graph - Countdown to SIN Logarithmic Chart Countdown to Singularity, Events expressed as Time before Present (Years) on the X axis and Time to Next Event (Years) on the Y axis, Logarithmic Plot Page 17, Linear Plot page 18. Source: M.T. Rosing, "13C-Depleted carbon microparticles in >3700-Ma sea-floor sedimentary rocks from west greenland," Science 283.5402 (January 29, 1999): 674-6, See also H. Furnes et al., "Early life recorded in archean pillow lavas," Science 304.5670 (April 23, 2004):578-81; M.T. Rosing, "Early Archaean oxygenic photosynthesis - The observational approach," Geophysical Research Abstracts 7.11202 (2005); W. Altermann and J.