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Topic: Continuous automaton


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In the News (Sun 20 Dec 09)

  
  Universality and Complexity in Cellular Automata (1984)
Notice that the spatial entropy of a cellular automaton configuration may be considered as the temporal entropy of a pure shift mapping applied to the cellular automaton configuration.
space-time patch are determined according to the cellular automaton rules by the values in the ``rind'' of the patch, as indicated in fig.
The ratio of temporal to spatial entropy is thus bounded by the maximum propagation speed in the cellular automaton.
www.stephenwolfram.com /publications/articles/ca/84-universality/5/text.html   (2471 words)

  
  NetLogo Models Library: CA Continuous
This is a continuous cellular automaton, otherwise known as a "coupled map lattice." (See CA 1D Elementary and CA 1D Totalistic if you are unfamiliar with cellular automata.) It operates just like a standard cellular automaton, except for the fact that its states are not discrete, but continuous values.
The rules are a cross between a totalistic cellular automaton and an iterated map.
The cellular automaton is totalistic, which means that at every time step, each cell's new state is determined by taking the average of itself and its nearest neighbors, and then passing it through the iterated map.
ccl.northwestern.edu /netlogo/models/CAContinuous   (1082 words)

  
 Kids.Net.Au - Encyclopedia > Cellular automaton
A cellular automaton (plural: cellular automata) is a discrete model studied in computability theory and mathematics.
One example of a cellular automaton (CA) would be an infinite sheet of graph paper, where each square is a cell, each cell has two possible states (fl and white), and the neighbors of a cell are the 8 squares touching it.
Sometimes it is possible to examine the state of a cellular automaton, and deduce the previous state.
www.kids.net.au /encyclopedia-wiki/ce/Cellular_automaton   (1782 words)

  
 Twenty Problems in the Theory of Cellular Automata (1985)
Topological entropies reflect the possible configurations of a system; measure entropies reflect those that are probable, and are insensitive to phenomena that occur with zero probability.
A tentative definition of the four classes of cellular automaton behaviour may be given in terms of measure entropies.
Even at a qualitative level, it is possible that definite subclasses of the four classes of cellular automaton behaviour may be identified.
www.stephenwolfram.com /publications/articles/ca/85-twenty/3/text.html   (763 words)

  
 Cellular automaton Summary
A cellular automaton (plural: cellular automata) is a discrete model studied in computability theory, mathematics, and theoretical biology.
One example of a cellular automaton (CA) would be an infinite sheet of graph paper, where each square is a cell, each cell has two possible states (fl and white), and the neighbors of a cell are the 8 squares touching it.
It is possible to arrange the automaton so that the gliders interact to perform computations, and after much effort it has been shown that the Game of Life can emulate a universal Turing machine.
www.bookrags.com /Cellular_automaton   (3999 words)

  
 Automaton - IcehouseOrg
This Automaton consists of a small red giving it one additional fire power, a medium blue giving it 2 additional armor and a large yellow giving it a continuous movement of 2 with bursts of 3.
When all players are finished,the Automatons are revealed and placed at a mutually agreed upon starting point (corners of the chess board are good starting points).
Also the game does not have to be played on a chessboard (that is just a convenient board that most people have around) what would be even better, IMHO would be to have a large trasparent sheet marked of in squares that you could use to overlay a map of some sort.
icehousegames.org /wiki/?title=Automaton   (980 words)

  
 Chapter 9
We see the letter A with continuous shapes, but it is part of a discrete alphabet.
An element of the set m is a state of the automaton.
It is sufficient to change the physical data of one component in order to alter the state of the automaton.
www.racai.ro /books/doe/chap9-7.html   (878 words)

  
 Twenty Problems in the Theory of Cellular Automata (1985)
If the cellular automaton approximates for example a continuous field, then the value of the field at a particular point could correspond roughly to the density of say nonzero sites around that point: the values of individual field points would be represented in a distributed manner, just as they often are in actual physical systems.
Explicit examples of cellular automaton approximations to partial differential equations of physical importance would be valuable.
A very direct continuum approximation to a cellular automaton is provided by a mean field theory, in which only the average density of sites, and not their individual values, is considered [2].
www.stephenwolfram.com /publications/articles/ca/85-twenty/11/text.html   (584 words)

  
 Automaton - Home
It is undecided whether we will continue to support both 2005 and 2008, but we will probably make a code branch and do a removal of old code that has now been implemented by Microsoft.
One of the important goals with the development of Automaton was to utilize the TFS as much as possible and make an installation and configuration that was simple and quick.
What Automaton does when a developer checks in some code, it will be smart and choose which team build type to run.
www.codeplex.com /automation   (471 words)

  
 Color Images from A New Kind of Science
Evolution of a continuous cellular automaton with a rule based on multiplication.
Evolution of a continuous cellular automaton with rule based on addition.
A 2D cellular automaton yielding a roughly circular pattern.
www.wolframscience.com /downloads/colorimages.html   (611 words)

  
 The New York Review of Books: Is the Universe a Computer?
The program for the calculation and the data to be used would be fed into a rule 110 cellular automaton as a pattern of fl cells in the top row, and the answer would appear as a pattern on a lower row.
Only if Wolfram were right that neither space nor time nor anything else is truly continuous (which is a separate issue) would the Turing machine or the rule 110 cellular automaton be computationally equivalent to an analog computer or a quantum computer or a brain or the universe.
The numerical solution of a differential equation is a table of values of the varying quantity, that to a good approximation satisfy both the differential equation and some given conditions on the initial values of this quantity and of its rates of change.
www.nybooks.com /articles/15762   (5036 words)

  
 The Reality Program: Chapter 9
Because the cell is operating independently and automatically, in robot-like fashion according to its rules, the cell is known as an "automaton" as though it were a robot performing its tasks mindlessly.
The difference in practical terms is that the cellular automaton operates according to a severely restricted set of instructions (programming), and so requires a comparatively modest amount of memory.
As of this writing, Fredkin's ideas continue to meet with resistance from the moment he states his premise -- the very concept striking some as on par with alien abductions or some other cultic doctrine.
www.bottomlayer.com /bottom/reality/chap9.html   (3964 words)

  
 cm conference abstract: Barton
This is a continuous time formulation in which the continuous state is described by a collection of differential-algebraic equation (DAE) systems.
Each mode of the hybrid automaton has a characteristic sensitivity system that may be derived in the usual manner from the original differential equations.
It is shown that, even for an ODE embedded hybrid system with state continuity at events, the sensitivity trajectories exhibit a (unique, computable) qualitative jump at switches triggered by state events.
www.mgnet.org /mgnet/conferences/CMCIM00/abs/barton.html   (739 words)

  
 Buck Hodges : More continuous integration with Team Build
Automaton is a Continuous Integration engine for Microsoft Team Foundation Server.
Continuous Integration (CI) is the process of continually scanning the source code repository for changes, and, once they have been detected automatically kicking off a build process to verify that the code compiles successfully.
Continuous Integration is an agile process that rebuilds a project whenever the underlying code changes.
blogs.msdn.com /buckh/archive/2006/08/09/more_continuous_integration.aspx   (923 words)

  
 SYMMETRY IN THE SELF-ORGANIZED CRITICALITY   (Site not responding. Last check: )
However, in the nature without perfect symmetry (e.g., Curie, 1894; Eigen and Winkler, 1975), it is reasonable to analyze symmetry by a continuous scale (e.g., Nagy, 1996), in spite of no general theory explaining the occurrence of continuous symmetries.
Next, we measured the symmetropies evaluating the causes and the effects of the sand-pile cellular automaton model with self-organized criticality, and the comparison was made between them in order to test the validity of the CSP.
This indicates that symmetry is continuous rather than discrete, and meets the previous claim (e.g., Nagy, 1996).
www.mi.sanu.ac.yu /vismath/visbook/sydnanjo/index.html   (1499 words)

  
 Cellular automaton
A cellular automaton is a group of cells that evolves only by nearest neighbor interaction.
In continuous mode, the computation can be stopped at any time by deselecting the continuous checkbox.
If continuous is selected, and random is not, patterns will be periodically generated with a constant rule, but different initial conditions.
www.rufenacht.com /CA   (486 words)

  
 Some Cryptosystems Based on Dynamical Systems
Anyone who does not know secret initial state would not be able to recreate the trajectory and thus would not be able to disentangle it from the encrypted message.
The discrete dynamical system version of this idea[14] uses iteration of a cellular automaton (see section 2.1) to generate the bit string.
In particular, one knows that if a cellular automaton has an inverse, that inverse is also a cellular automaton.
www.santafe.edu /~hag/crypto/node4.html   (1142 words)

  
 Continuous characters recognition system (US4764972)
A recognition system for recognizing a plurality of continuous hand-written characters, employing a first memory in which isolated characters are stored, and a second memory which stores information, including interstroke character information, for connecting isolated characters.
According to various embodiments of the invention, this interstroke information may be stored as part of a continuous character, or by itself.
a continuous character patterns memory for storing a plurality of continuous character patterns, each of said plurality of continuous character patterns representing a pattern from a start point of each said reference character to a start point of a succeeding one of said reference characters; and
www.delphion.com /details?pn10=US04764972   (214 words)

  
 INSTRUCTIONS FOR PREPARING PAPERS FOR GA2000   (Site not responding. Last check: )
The system as a whole exhibits a certain inertia; arrays are modified by interpolation and the genetic activity spawns offsprings that inherit features of their parents as they were living in the previous generation.
In other words, the perceived melodic continuity is an implicit byproduct of the global systems behavior – it does not result from any form of melodic memory.
It can be considered a continuous cellular automaton, a form of ballistic computing or an example of artificial chemistry.
www.generativeart.com /papers2005/32.peterBeyls.htm   (4295 words)

  
 Cellular Automata
There are various tricks for handling the edges of the board; the one which has "all the advantages of theft over honest toil" is to assume an infinite board.
Von Neumann was able to prove that a certain CA can have a "general constructive automaton," a configuration of states which can construct almost any configuration of states.
Tommaso Toffoli, Silvio Capobianco, Patrizia Mentrasti, "When--and how--can a cellular automaton be rewritten as a lattice gas?", 0709.1173
cscs.umich.edu /~crshalizi/notebooks/cellular-automata.html   (3681 words)

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