Cellular automaton

A cellular automaton (plural: cellular automata) is a discrete model studied in computability theory, mathematics, and theoretical biology. It consists of an infinite, regular grid of cells, each in one of a finite number of states. The grid can be in any finite number of dimensions. Time is also discrete, and the state of a cell at time t is a function of the states of a finite number of cells (called its neighborhood) at time t-1. These neighbors are a selection of cells relative to the spec ...

Including:

• Cellular automaton - History of cellular automata
• Cellular automaton - The simplest cellular automata
• Cellular automaton - Reversible cellular automata
• Cellular automaton - Totalistic cellular automata
• Cellular automaton - Uses in cryptography
• Cellular automaton - Related automata
• Cellular automaton - Cellular automata in nature
• Cellular automaton - Cellular automata in the chemistry lab
• Cellular automaton - Articles on specific cellular automata

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Stanislaw Ulam, while working at the Los Alamos National Laboratory in the 1940s, studied the growth of crystals, using a simple lattice network as his model. At the same time, John von Neumann—Ulam's colleague at Los Alamos—was working on the problem of self-replicating systems. Von Neumann's initial design was founded upon the notion of one robot building another robot. This design is known as the kinematic model. As he developed this design, von Neumann came to realize the great difficulty of building a self-replicating robot, and of ...

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Cellular automaton, Cellular automaton - History of cellular automata, Cellular automaton - The simplest cellular automata, Cellular automaton - Reversible cellular automata, Cellular automaton - Totalistic cellular automata, Cellular automaton - Uses in cryptography, Cellular automaton - Related automata, Cellular automaton - Cellular automata in nature, Cellular automaton - Cellular automata in the chemistry lab, Cellular automaton - Articles on specific cellular automata

Read more here: » Cellular automaton: Encyclopedia II - Cellular automaton - History of cellular automata

A New Kind of Science is a controversial book by Stephen Wolfram, published in 2002. It introduced and justified the empirical systematic study of simple programs, which are basic deterministic systems which iterate. Wolfram argues that the scientific philosophy and methodology appropriate for the study of simple programs is relevant to other fields of science. The book is available online (see links below). A New Kind of Science - Computation and its Implications. The thesis of A New Kind of Scie ...

Including:

• A New Kind of Science - Computation and its Implications
• A New Kind of Science - The World of Simple Programs
• A New Kind of Science - Mapping and Mining the Computational Universe
• A New Kind of Science - Systematic Abstract Science
• A New Kind of Science - Philosophical Underpinnings
• A New Kind of Science - Applications and Results
• A New Kind of Science - Reception
• A New Kind of Science - Criticism of NKS
• A New Kind of Science - Scientific philosophy
• A New Kind of Science - Methodology
• A New Kind of Science - Utility
• A New Kind of Science - Specific Ideas
• A New Kind of Science - Originality and Self-Image
• A New Kind of Science - Response to Criticism
• A New Kind of Science - Scientific Philosophy
• A New Kind of Science - Methodology
• A New Kind of Science - Utility
• A New Kind of Science - Specific Ideas
• A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia - A New Kind of Science

An automaton (plural: automata) is a self-operating machine. The word is sometimes used to describe a robot, more specifically an autonomous robot. Automaton - History. Automata, from the Greek automatos, “acting of one’s own will, self-moving,” is more often used to describe non-electronic moving machines, however, especially those that have been made to resemble human or animal actions, such as the jacks on old public striking clocks, or the cuckoo and any other animated figures on a c ...

Including:

• Automaton - History
• Automaton - Automata in Fiction
• Automaton - Other meanings

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Automata, from the Greek automatos, “acting of one’s own will, self-moving,” is more often used to describe non-electronic moving machines, however, especially those that have been made to resemble human or animal actions, such as the jacks on old public striking clocks, or the cuckoo and any other animated figures on a cuckoo clock. The automata of ancient Egypt were intended as toys or tools for demonstrating basic scientific principles, including those built by Hero of Alexandria. When his writing on hydraulics, pneuma ...

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Automaton, Automaton - History, Automaton - Automata in Fiction, Automaton - Other meanings

Read more here: » Automaton: Encyclopedia II - Automaton - History

Digital organisms can be traced back to the game Core War, in which computer programs had to compete with each other and try to stop the opponent from executing. It turned out that one of the winning strategies was to replicate as fast as possible, which had the result that the opponent was deprived of all computational resources. However, programs in the Core War game did not mutate. Steen Rasmussen at Los Alamos National Laboratory took the idea from Core War one step further in his core world system. He introduced mutations, in the ...

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Digital organism, Digital organism - History, Digital organism - Digital Organism Simulators

Read more here: » Digital organism: Encyclopedia II - Digital organism - History

The book has attracted several types of criticism. A New Kind of Science - Scientific philosophy. A key tenet of NKS is that the simpler the system, the more likely a version of it will recur in a wide variety of more complicated contexts. Therefore, NKS argues that systematically exploring the space of simple programs will lead to a base of reusable knowledge. However, many scientists believe that of all possible parameters, only some actually occur in the universe. That, for instance, of all possi ...

See also:

A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Criticism of NKS

Given that very simple rules often do very complex things, how do we study them? Wolfram believes it is necessary to systematically explore all of these computational systems and document what they do. He believes this study should become a new branch of science, like a physics or a chemistry. The basic goal of this field is to understand and characterize the computational universe using experimental methods. The proposed new branch of scientific exploration admits many different forms of scientific production. For instance, qualitati ...

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A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Mapping and Mining the Computational Universe

Bootstrapping alludes to a German legend about a Baron Münchhausen, who was able to lift himself out of a swamp by pulling himself up by his own hair. In later versions he was using his own boot straps to pull himself out of the sea which gave rise to the term bootstrapping. In computers, this term refers to any process where a simple system activates a more complicated system. It is the problem of starting a certain system without the system already functioning. It seems just as impossible as "pulling oneself up by the bootst ...

Including:

• Bootstrapping - Computing
• Bootstrapping - Compilers
• Bootstrapping - Linguistics
• Bootstrapping - Physics
• Bootstrapping - Biology
• Bootstrapping - Electronics
• Bootstrapping - Statistics
• Bootstrapping - Finance
• Bootstrapping - Venture Capital and Start-up Companies
• Bootstrapping - External link

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Wolfram believes that one of his achievements is not just exclaiming, "computation is important!", but in providing a coherent system of ideas that justifies computation as an organizing principle of science. For instance, Wolfram's concept of computational irreducibility -- that complex computations cannot be short-cutted or "reduced", is ultimately the reason why computational models of natur ...

See also:

A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Philosophical Underpinnings

The basic subject of Wolfram's "new kind of science" is the study of simple abstract rules — essentially, elementary computer programs. Traditionally, we think of computer programs as very complicated systems that are constructed for a purpose. But it is possible to look at the space of possible simple computer programs, and simply ask what they do. Wolfram's fundamental experimental result is that given almost any class of computational system, one very quickly finds instances of great complexity among its simplest cases. This seem ...

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A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - The World of Simple Programs

While Wolfram promotes simple programs as a scientific discipline, he also insists that its methodology will revolutionize essentially every field of science. The basis for his claim is that the study of simple programs is the most minimal possible form of science, which is equally grounded in both abstraction and empirical experimentation. Every aspect of the methodology advocated in NKS is optimized to make experimentation as direct, easy, and meaningful as possible — while max ...

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A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Systematic Abstract Science

There are a vast number of specific results and ideas in the NKS book, but they can be organized into several themes. One common theme of examples and applications is demonstrating how little it takes to achieve interesting behavior, and how the proper methodology can discover these cases. First, there are perhaps several dozen cases where the NKS book introduces the simplest known system in some class that has a particular characteristic. Some examples include the first primitive recursive function that results in complexity, ...

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A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Applications and Results

NKS received unprecedented media publicity for a scientific book, generating scores of articles in places like The New York Times, Newsweek, Wired, and The Economist. It was a best-seller and won numerous awards. NKS was reviewed in a large range of scientific journals. Several themes emerged. On the positive, almost all reviewers enjoyed the high-quality of the book's production, and the clear way Wolfram presented many ideas. Many reviewers, even those who engaged in other criticisms, found aspects of the book to be interesting and ...

See also:

A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Reception

A New Kind of Science - Scientific Philosophy. Wolfram argues that a typical computational system is significantly richer than a typical equation, and therefore exhaustively enumerating computational systems is more likely to result in diverse and novel behavior. In fact, Wolfram argues that this is a direct result of how science has evolved to minimize complexity and computation. In the history of science and mathematics, simple ideas tend to be reused much more often than complicated ones - if not immediately, then decades or sometimes even centuries later.

A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Response to Criticism

The thesis of A New Kind of Science is twofold: that the nature of computation must be explored experimentally, and that the results of these experiments have great relevance to understanding the natural world. Since its crystallization in the 1930's, computation has been primarily approached from two traditions: engineering, which seeks to build practical systems using computation; and mathematics, which seeks to prove theorems about computation. Wolfram describes himself as introducing a third major tradition, which is ...

See also:

A New Kind of Science, A New Kind of Science - Computation and its Implications, A New Kind of Science - The World of Simple Programs, A New Kind of Science - Mapping and Mining the Computational Universe, A New Kind of Science - Systematic Abstract Science, A New Kind of Science - Philosophical Underpinnings, A New Kind of Science - Applications and Results, A New Kind of Science - Reception, A New Kind of Science - Criticism of NKS, A New Kind of Science - Scientific philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image, A New Kind of Science - Response to Criticism, A New Kind of Science - Scientific Philosophy, A New Kind of Science - Methodology, A New Kind of Science - Utility, A New Kind of Science - Specific Ideas, A New Kind of Science - Originality and Self-Image

Read more here: » A New Kind of Science: Encyclopedia II - A New Kind of Science - Computation and its Implications

List of combinatorics topics - 0-9. (0,1) matrix List of combinatorics topics - A. Abstract simplicial complex Addition chain Scholz conjecture Alternating sign matrix Almost disjoint sets Antichain Arrangement of hyperplanes Assignment problem Audioactive decay List of combinatorics topics - B. Barcode Matrix code ...

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List of combinatorics topics, List of combinatorics topics - General combinatorial principles and methods, List of combinatorics topics - Problem solving as an art, List of combinatorics topics - Some general theories, List of combinatorics topics - Living with large numbers, List of combinatorics topics - Topics in combinatorics: alphabetical list, List of combinatorics topics - 0-9, List of combinatorics topics - A, List of combinatorics topics - B, List of combinatorics topics - C, List of combinatorics topics - D, List of combinatorics topics - E, List of combinatorics topics - F, List of combinatorics topics - G, List of combinatorics topics - H, List of combinatorics topics - I, List of combinatorics topics - K, List of combinatorics topics - L, List of combinatorics topics - M, List of combinatorics topics - N, List of combinatorics topics - O, List of combinatorics topics - P, List of combinatorics topics - R, List of combinatorics topics - S, List of combinatorics topics - T, List of combinatorics topics - U, List of combinatorics topics - V, List of combinatorics topics - W, List of combinatorics topics - Y, List of combinatorics topics - Data structure concepts, List of combinatorics topics - People, List of combinatorics topics - Journals, List of combinatorics topics - Prizes, List of combinatorics topics - Publications

Read more here: » List of combinatorics topics: Encyclopedia II - List of combinatorics topics - Topics in combinatorics: alphabetical list

The term bootstrap has a number of meanings in electronics. In classical analog designs, a bootstrap circuit is an arrangement of components used to boost the input impedance of a circuit by using a small amount of positive feedback, usually over two stages. This was often necessary in the early days of bipolar transistors, which inherently have quite a low input impedance. The need for such arrangements has largely been alleviated by the use of modern field effect transistor designs, except when ultra-high input impedances are ...

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Bootstrapping, Bootstrapping - Computing, Bootstrapping - Compilers, Bootstrapping - Linguistics, Bootstrapping - Physics, Bootstrapping - Biology, Bootstrapping - Electronics, Bootstrapping - Statistics, Bootstrapping - Finance, Bootstrapping - Venture Capital and Start-up Companies, Bootstrapping - External link

Read more here: » Bootstrapping: Encyclopedia II - Bootstrapping - Electronics

The term parallel processor is sometimes used for a computer with more than one processor, available for parallel processing. Systems with thousands of such processors are known as massively parallel. The recent multicore processors are also ideal for to build up parallel computing systems. There are many different kinds of parallel computers (or "parallel processors"). They are distinguished by the kind of interconnection between processors (known as "processing elements" or PEs) and between processors and memories. Fly ...

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Parallel computing, Parallel computing - Parallel computing systems, Parallel computing - Performance vs. cost, Parallel computing - Algorithms, Parallel computing - Inter-thread communication, Parallel computing - Parallel software, Parallel computing - Parallel programming models, Parallel computing - Topics in parallel computing

Read more here: » Parallel computing: Encyclopedia II - Parallel computing - Parallel computing systems

The term parallel processor is sometimes used for a computer with more than one processor, available for parallel processing. Systems with thousands of such processors are known as massively parallel. The recent multicore processors are also ideal for to build up parallel computing systems. There are many different kinds of parallel computers (or "parallel processors"). They are distinguished by the kind of interconnection between processors (known as "processing elements" or PEs) and between processors and memories. Fly ...

See also:

Parallel computing, Parallel computing - Parallel computing systems, Parallel computing - Performance vs. cost, Parallel computing - Algorithms, Parallel computing - Inter-thread communication, Parallel computing - Parallel programming, Parallel computing - Parallel programming models, Parallel computing - Topics in parallel computing

Read more here: » Parallel computing: Encyclopedia II - Parallel computing - Parallel computing systems