Search results for "Classical mathematics"

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Models of Computation, Riemann Hypothesis, and Classical Mathematics

1998

Classical mathematics is a source of ideas used by Computer Science since the very first days. Surprisingly, there is still much to be found. Computer scientists, especially, those in Theoretical Computer Science find inspiring ideas both in old notions and results, and in the 20th century mathematics. The latest decades have brought us evidence that computer people will soon study quantum physics and modern biology just to understand what computers are doing.

Classical mathematicsFinite-state machineComputer sciencebusiness.industryModel of computationEpistemologyPhilosophy of computer sciencePhilosophy of languageTuring machinesymbols.namesakeRiemann hypothesisFormal languagesymbolsArtificial intelligencebusiness
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Knot Theory, Jones Polynomial and Quantum Computing

2005

Knot theory emerged in the nineteenth century for needs of physics and chemistry as these needs were understood those days. After that the interest of physicists and chemists was lost for about a century. Nowadays knot theory has made a comeback. Knot theory and other areas of topology are no more considered as abstract areas of classical mathematics remote from anything of practical interest. They have made deep impact on quantum field theory, quantum computation and complexity of computation.

Classical mathematicsPure mathematicsComputer scienceComputationCalculusJones polynomialQuantum field theoryMathematics::Geometric TopologyTime complexityPhysics::History of PhysicsTopology (chemistry)Quantum computerKnot theory
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