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In computer science, the time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the length of the string representing the input[1]:226.
 algorithm time complexity
What's attractive about studying E8 is that it's as complicated as symmetry can get. Mathematics can almost always offer another example that's harder than the one you're looking at now, but for Lie groups, E8 is the hardest one. ... Each of the 205,263,363,600 entries on the matrix is far more complicated than a straightforward number; some are complex equations...

2007-03-19

 philosophy mathematics physics geometry dimension complexity
In mathematics, chaos theory describes the behavior of certain dynamical systems – that is, systems whose states evolve with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect).
 Wikipedia philosophy mathematics complexity nature chaos
Much as meteorologists predict the path and intensity of hurricanes, Indiana University's Alessandro Vespignani believes we will one day predict with unprecedented foresight, specificity and scale such things as the economic and social effects of billions of new Internet users in China and India, or the exact location and number of airline flights to cancel around the world in order to halt the spread of a pandemic...

2009-07-23

 future simulation complexity foresight
Swarm intelligence (SI) is a type of artificial intelligence based on the collective behavior of decentralized, self-organized systems.
 intelligence complexity group social artificial intelligence
A multi-agent system (MAS) is a system composed of multiple interacting intelligent agents. Multi-agent systems can be used to solve problems which are difficult or impossible for an individual agent or monolithic system to solve.
 intelligence complexity group social artificial intelligence
The ant colony optimization algorithm (ACO), is a probabilistic technique for solving computational problems which can be reduced to finding good paths through graphs.
 complexity group social artificial intelligence swarm ant evolution programming algorithm
Particle swarm optimization (PSO) is an algorithm modelled on swarm intelligence that finds a solution to an optimization problem in a search space, or model and predict social behavior in the presence of objectives.
 complexity group social artificial intelligence swarm algorithm
Predicting how large crowds will react in certain situations has long been the holy-grail for architects and planners.

2009-10-15

 crowd control complexity prediction statistics big brother sociology
The researchers discovered in their study that the bacteria’s game theory decision making process is far more advanced than the well-known game theory problem known as the Prisoner's Dilemma. Scientists studying how bacteria under stress collectively weigh and initiate different survival strategies say they have gained new insights into how humans make strategic decisions that affect their health, wealth and the fate of others in...

2009-12-08

 bacteria complexity intelligence network game theory mathematics decision fractal economy politics speed time social
The DOD is developing a parallel to Planet Earth, with billions of individual "nodes" to reflect every man, woman, and child this side of the dividing line between reality and AR. Called the Sentient World Simulation (SWS), it will be a "synthetic mirror of the real world with automated continuous calibration with respect to current real-world information", according to a concept paper for the project. "SWS...

2007-06-23

 future simulation military virtual reality war politics game emergence complexity
Tipping points are found in ecosystems, economies and even bodies. But they’re usually recognized in retrospect, when it’s too late for anything but regret. Now a growing body of research suggests there are telltale mathematical signals. If scientists can figure out how to detect them, they may be able to forecast tipping points ahead of time.

2009-09-02

 complexity environment science mathematics future apocalypse prediction warning
Researchers in Japan have shown that a slime mold can design a network that is as efficient as one developed by humans over many years: the Tokyo rail system. Furthermore, the slime mold can build its network in a day. A slime mold is what scientists refer to as a single-celled amoeboid organism. When foraging for food, it spreads out as an amorphous mass and then builds tubular connections between the food sources.

2010-01-25

 single-celled organism network simulation efficiency mathematics complexity railway

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