Validated numerics, or rigorous computation, verified computation, reliable computation, numerical verification (German: Zuverlässiges Rechnen) is numerics including mathematically strict error (rounding error, truncation error, discretization error) evaluation, and it is one field of numerical analysis. For computation, interval arithmetic is used, and all results are represented by intervals. Validated numerics were used by Warwick Tucker in order to solve the 14th of Smale's problems,[1] and today it is recognized as a powerful tool for the study of dynamical systems.[2]
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software is software used to model, analyze or calculate numeric, symbolic or geometric data. Numerical analysis and symbolic computation had been in most important...
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for the purposes of making calculations easier by using approximations. Numerical analysis provides an important example. The history of discrete mathematics...
addresses computability issues, algorithm development, verification, and validatednumerics for applications in uncertainty processing, data processing, intelligent...
Richard Hamming won the Turing Award in 1968 for his work at Bell Labs in numerical methods, automatic coding systems, and error-detecting and error-correcting...
decisions based on assigning probabilities to various factors and assigning numerical consequences to the outcome. There are three branches of decision theory:...
gravitation on the basis of a single, and at that time very approximate, numerical coincidence." Wigner's second example comes from quantum mechanics: Max...
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