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theory of computation

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Finite state machines are a class of automata studied in automata theory and the theory of computation.
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Another precursor was the early development of the theory of computation and the digital computer in the 1940s and 1950s.
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In the theory of computation, abstract machines are often used in thought experiments regarding computability or to analyze the complexity of algorithms (see computational complexity theory).
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It is important because NFAs can be used to reduce the complexity of the mathematical work required to establish many important properties in the theory of computation.
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Lisp was originally created as a practical mathematical notation for computer programs, based on lambda calculus, which makes it particularly well suited for teaching theories of computing.
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Physical information is of particular importance in the theory of quantum computers.
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Quantum complexity theory is a part of computational complexity theory in theoretical computer science.
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Parallel computing - The theory and practice of simultaneous computation; data safety in any multitasking or multithreaded environment.
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At the same time, the richer structure of gauge theories allows simplification of some computations: for example Ward identities connect different renormalization constants.
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And this is the computational theory of the mind.
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Canny also produced a computational theory of edge detection explaining why the technique works.
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In computational complexity theory, the problem of determining the complexity of a computable function is known as a function problem.
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Computability theory examines the limitations of various theoretical models of the computer, including the most well-known model – the Turing machine.
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That possibility has led some commentators to go as far as to advocate the attribution of at least some elements of legal personality to automated computer systems or to a transposition of the general theory of agency to computer transactions
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Research and development in this area concerns theory, experiments and applications of DNA computing.
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A fundamental theorem of computational domain theory is that if progressionS is ω-continuous then DenoteS will exist.
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The intuition of upper elements being more specific is typically found in domain theory, a branch of order theory that has ample applications in computer science.
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One of the roles of computational complexity theory is to determine the practical limits on what computers can and cannot do.
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In the field of computational neuroscience, the theory of metastability refers to the human brain’s ability to integrate several functional parts and to produce neural oscillations in a cooperative and coordinated manner, providing the basis for conscious activity.
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Since then the emphasis has shifted, and cryptography now makes extensive use of mathematics, including aspects of information theory, computational complexity, statistics, combinatorics, abstract algebra, number theory, and finite mathematics generally.
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Toward this goal, ACL2 has many features to support clean engineering of interesting mathematical and computational theories.
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Based on bipolar set theory, an equilibrium/non-equilibrium computational model of Yin-Yang Wu-Xing is proposed.
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Curve plots Image annotations Scatter plot Computer mapping of topographical surfaces: Through computer mapping of topographical surfaces, mathematicians can test theories of how materials will change when stressed.
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He is one of the pioneers of the field of quantum computing and quantum information theory.
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According to Gregory Chaitin, it is "the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously."
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