Chaos&complexity

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Imagining the Tenth Dimension. Chaos theory. A double rod pendulum animation showing chaotic behavior.

Chaos theory

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: . 21. Chaos and Reductionism. The Alignment System - Chaotic Good. A chaotic good character acts as his conscience directs him with little regard for what others expect of him.

The Alignment System - Chaotic Good

He makes his own way, but he's kind and benevolent. He believes in goodness and right but has little use for laws and regulations. He hates it when people try to intimidate others and tell them what to do. He follows his own moral compass, which, although good, may not agree with that of society. Chaotic good is the best alignment you can be because it combines a good heart with a free spirit. Chaotic good can be a dangerous alignment when it disrupts the order of society and punishes those who do well for themselves.

While creatures of this alignment view freedom and the randomness of actions as ultimate truths, they likewise place value on life and the welfare of each individual. Chaotic good characters are strong individualists marked by a streak of kindness and benevolence. These characters are basically good, but tend to be selfish and maybe a bit greedy. 1. 2. 3. 4. 5. 6. Building the Brain: From Simplicity to Complexity. A Magic Number - Sixty Symbols. Supersymmetry Fails Test, Forcing Physics to Seek New Ideas. From Simons Science News As a young theorist in Moscow in 1982, Mikhail Shifman became enthralled with an elegant new theory called supersymmetry that attempted to incorporate the known elementary particles into a more complete inventory of the universe.

Supersymmetry Fails Test, Forcing Physics to Seek New Ideas

“My papers from that time really radiate enthusiasm,” said Shifman, now a 63-year-old professor at the University of Minnesota. Over the decades, he and thousands of other physicists developed the supersymmetry hypothesis, confident that experiments would confirm it. “But nature apparently doesn’t want it,” he said. “At least not in its original simple form.” With the world’s largest supercollider unable to find any of the particles the theory says must exist, Shifman is joining a growing chorus of researchers urging their peers to change course. But there is little to build on. “Of course, it is disappointing,” Shifman said. Over time, as the superpartners failed to materialize, supersymmetry has grown less beautiful. What is Chaos? An Interactive Online Course for Everyone. Lateral thinking. Lateral thinking is solving problems through an indirect and creative approach, using reasoning that is not immediately obvious and involving ideas that may not be obtainable by using only traditional step-by-step logic.

Lateral thinking

The term was coined in 1967 by Edward de Bono. According to de Bono, lateral thinking deliberately distances itself from standard perceptions of creativity as either "vertical" logic (the classic method for problem solving: working out the solution step-by-step from the given data) or "horizontal" imagination (having a thousand ideas but being unconcerned with the detailed implementation of them). Methods[edit] Critical thinking is primarily concerned with judging the true value of statements and seeking errors.

Lateral thinking is more concerned with the movement value of statements and ideas. Random Entry Idea Generating Tool: The thinker chooses an object at random, or a noun from a dictionary, and associates it with the area they are thinking about. See also[edit] Maze Design. We've been working on producing mazes by computer, with input from a human designer.

Maze Design

We're interested in two complementary questions with respect to maze design: Complexity: What makes a maze difficult to solve? The more we consider this question, the more elusive it becomes. It's certainly possible to begin defining mathematical measures of a maze's complexity, but complexity must depend on aspects of human perception as well. For example, the eye can easily become lost in a set of parallel passages. Gallery We have addressed these two aspects of maze design in separate sub-projects.

We then studied maze design as a problem in non-photorealistic rendering. Clicking on the examples below will link you to a very high-res PNG. Papers Other resources Karan Singh has put together an excellent page about maze and labyrinth design, motivated by his NPAR 2006 paper on labyrinths. Mazes can be used to represent images in a couple of different ways. Solving the Complexity of Communicating. Masterbreak.jpg (1200×785) Part 1 - T. A. Z.: The Temporary Autonomous Zone, Ontological Anarchy, Poetic Terrorism. CHAOS: THE BROADSHEETS OF ONTOLOGICAL ANARCHISM was first published in 1985 by Grim Reaper Press of Weehawken, New Jersey; a later re-issue was published in Providence, Rhode Island, and this edition was pirated in Boulder, Colorado.

Part 1 - T. A. Z.: The Temporary Autonomous Zone, Ontological Anarchy, Poetic Terrorism

Another edition was released by Verlag Golem of Providence in 1990, and pirated in Santa Cruz, California, by We Press. "The Temporary Autonomous Zone" was performed at the Jack Kerouac School of Disembodied Poetics in Boulder, and on WBAI-FM in New York City, in 1990. Thanx to the following publications, current and defunct, in which some of these pieces appeared (no doubt I've lost or forgotten many--sorry!) : KAOS (London); Ganymede (London); Pan (Amsterdam); Popular Reality; Exquisite Corpse (also Stiffest of the Corpse, City Lights); Anarchy (Columbia, MO); Factsheet Five; Dharma Combat; OVO; City Lights Review; Rants and Incendiary Tracts (Amok); Apocalypse Culture (Amok); Mondo 2000; The Sporadical; Black Eye; Moorish Science Monitor; FEH! Chaos. BBC Documentary - Stupidity "Full Movie" Web. 15 Styles of Distorted Thinking.

List of cognitive biases. Cognitive biases are tendencies to think in certain ways.

List of cognitive biases

Cognitive biases can lead to systematic deviations from a standard of rationality or good judgment, and are often studied in psychology and behavioral economics. There are also controversies as to whether some of these biases count as truly irrational or whether they result in useful attitudes or behavior. For example, when getting to know others, people tend to ask leading questions which seem biased towards confirming their assumptions about the person. This kind of confirmation bias has been argued to be an example of social skill: a way to establish a connection with the other person.[6] The research on these biases overwhelmingly involves human subjects.

Decision-making, belief, and behavioral biases[edit] Many of these biases affect belief formation, business and economic decisions, and human behavior in general. Social biases[edit] Most of these biases are labeled as attributional biases. Memory errors and biases[edit] Fallacy of composition. The fallacy of composition arises when one infers that something is true of the whole from the fact that it is true of some part of the whole (or even of every proper part).

Fallacy of composition

For example: "This fragment of metal cannot be fractured with a hammer, therefore the machine of which it is a part cannot be fractured with a hammer. " This is clearly fallacious, because many machines can be broken apart, without any of those parts being able to be fractured. This fallacy is often confused with the fallacy of hasty generalization, in which an unwarranted inference is made from a statement about a sample to a statement about the population from which it is drawn.

The fallacy of composition is the converse of the fallacy of division. Examples[edit] If someone stands up out of his seat at a baseball game, he can see better. If a runner runs faster, she can win the race. In economics, the Paradox of thrift is a notable fallacy of composition that is central to Keynesian economics. Modo hoc fallacy[edit] You Are Not So Smart. 25 Acts of Body Language to Avoid. Our body language exhibits far more information about how we feel than it is possible to articulate verbally.

25 Acts of Body Language to Avoid

All of the physical gestures we make are subconsciously interpreted by others. This can work for or against us depending on the kind of body language we use. Some gestures project a very positive message, while others do nothing but set a negative tone. Most people are totally oblivious to their own body language, so the discipline of controlling these gestures can be quite challenging. Most of them are reflexive in nature, automatically matching up to what our minds are thinking at any given moment. Nevertheless, with the right information and a little practice, we can train ourselves to overcome most of our negative body language habits. Practice avoiding these 25 negative gestures: “ I speak two languages, Body and English. ” — Mae West Holding Objects in Front of Your Body – a coffee cup, notebook, hand bag, etc.

Want to know powerful, dominant, confident body language postures? Pharmaceuticals and Biotechnology - Find Pharmaceuticals and Biotechnology Vendors. With new developments in the world of pharmaceuticals and biotechnology, this sector of the industry has more jobs available than many other areas of the health care industry.

Pharmaceuticals and Biotechnology - Find Pharmaceuticals and Biotechnology Vendors

Many health care industry analysts are forecasting that biopharmacology–the process of using living organisms such as yeasts, bacteria, proteins, or cell cultures in the development and manufacturing of medicine--will grow even further over the next several years. There are many biopharmaceutical jobs which you can choose to explore. This industry is in great need of dedicated researchers. Biotechnology and pharmaceuticals require intense research and development in order to develop new products and medicines.

Cutting-edge techniques in the field mean that engineers and technicians are also needed in this industry. Scientists–including biologists, chemists, physicists, physiologists, and others--are needed in biopharmacology, too, of course. Phone Accessories8D6320F9-A520-4DEA-8D2C-7363ECFE015E. Emergent Reality - The Sea of Organic Recursion. Chaos & Complexity Pdf Library > GaianXaos. Quantum Entanglements 1, I. Since 2008, Academic Earth has worked diligently to compile an ever-growing collection of online college courses, made available free of charge, from some of the most respected universities.

We proudly build on the precedent set forth by MIT OpenCourseware, believing that everyone deserves access to a world-class education. To facilitate this goal, we have curated links to over 750 online courses and 8,500 individual online lectures, giving students of all ages unparalleled access to college courses they may otherwise never experience. Whether supplementing existing coursework, or learning for the sake of learning, anyone with an internet connection has the freedom to learn at their own pace from world-renowned experts, without the burden of rising tuition costs. To access this collection of free online college courses, simply select your area of interest from the menu below. From Art and Design to Social Science, Academic Earth is sure to have the course you’re looking for.

Quantum Entanglement. Quantum Entanglement It is possible for a particle to interact with another particle in such a way that the quantum states of the two particles form a single entangled state. The definition of an entangled state is that it is not entirely independent of other states: its state is dependent on another state in some way. Because of this dependency it is a mistake to consider either state in isolation from the other. Rather we should combine the states and treat the result as a single, entangled state. For example, a light beam is a composed of a stream of photons. So if two people each receive one of the entangled photons and performs a measurement, they will find that the other person's photon has orthogonal polarization. "I cannot seriously believe in quantum theory because it cannot be reconciled with the idea that physics should represent a reality in time and space, free from spooky actions at a distance.

" - Albert Einstein The EPR Paradox Bell's Inequality That's always true. Qubits . Or. For the First Time, Humans See Quantum Entanglement With the Naked Eye. Physicists at the University of Geneva in Switzerland have devised a new kind of quantum experiment using humans as photon detectors, and in doing so have made the quantum phenomenon of entanglement visible to the naked eye for the first time. For those that need a primer, entanglement is that strange quantum phenomenon that links two particles across distances such that any any measurements carried out on one particle immediately changes the properties of the other--even if they are separated by the entire universe.

Einstein called it "spooky action at a distance. " And indeed it is weird. Nicolas Gisin at U. of Geneva noted that Italian physicists had previously done an interesting thing with entangled photons. Rather than entangling just a few as experimenters usually do, the Italian team had entangled a pair of photons and then amplified one of them to create a photon shower containing thousands of particles, all linked to the single other photon from the original pair.

Sort of. Quantum Entanglement. Tossing a pebble into a pond creates ripples that travel from where the pebble landed to the edge of the pond. The ripples are also called waves. Another way to make waves is with a long rope. If you swing your arm up and down while holding the rope (as in Figure 2.1), you can see waves start from your hand and disappear off the end; moving the rope faster makes more waves.

Figure 2.1. Making Vertical Waves. Waves have three important properties: frequency, amplitude, and wavelength. Frequency This is the number of waves that happen over time. Figure 2.2. Amplitude This is the height of a wave. Figure 2.3. Wavelength This is the distance between the top of one wave to the top of the next. Figure 2.4. Experiment You can play with frequency and amplitude using your voice. Place two fingers against your throat.Start humming a single note.Change the pitch of your hums (from ohhhh to eeeee).Change how loud you hum.

Interference Figure 2.5. Constructive Waves Figure 2.6. Destructive Waves Figure 2.7. Emergence - Complexity from Simplicity, Order from Chaos (1 of 2) Hyperchaos. A hyperchaotic attractor is typically defined as chaotic behavior with at least two positive Lyapunov exponents. Combined with one null exponent along the flow and one negative exponent to ensure the boundness of the solution, the minimal dimension for a (continuous) hyperchaotic system is 4. The first hyperchaotic system Figure 1: Plane projection of the hyperchaotic attractor solution to the 4D Rössler system. Figure 2: First-return map to the Poincaré section of the hyperchaotic attractor solution to the 4D Rössler system. The first 4D flow was proposed in 1979 by Rössler. \dot{x} = -y -z \dot{y} = x+ay+w \dot{z} = b+xz \dot{w} = -cz+dw It has hyperchaotic behavior (Fig. 1) as a solution with the parameter values a=0.25, b=3, c=0.5 and d=0.05.

The hyperchaotic character of this behaviour is not so obvious from this plane projection which looks a bit like a "noisy" chaotic attractor. Is computed (Fig. 2), its structure is obviously two-dimensional. Hyperchaotic maps Acknowledgements G. G. How Quantum Suicide Works" BrainWave Generator.