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Monte Carlo method

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Monte Carlo method

Statistical method of approximating the solution of complex physical or mathematical systems. The method was adopted and improved by John von Neumann and Stanislaw Ulam for simulations of the atomic bomb during the Manhattan Project. Because the method is based on random chance, it was named after a gambling resort.


Monte Carlo method

A technique that provides approximate solutions to problems expressed mathematically. Using random numbers and trial and error, it repeatedly calculates the equations to arrive at a solution. Many of the Monte Carlo methods and practices used to be referred to as rather generic "statistical sampling." Monte Carlo, of course, is a historical reference to the famous casino in Monaco.


Monte Carlo method [′män·tē ′kär·lō ‚meth·əd]
(statistics)
A technique which obtains a probabilistic approximation to the solution of a problem by using statistical sampling techniques.


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The crystal structures of 2,4,6-triisopropylbenzenesulfonamide, 1,2,3-trihydroxybenzene-hexamethylenetetramine (1/1), 5-bromonicotinic acid and chlorothalonil form II have been solved from x-ray powder diffraction data, by application of a direct space structure solution approach using the Monte Carlo method and confirmed by Rietveld refinement.
However, the Schrodinger equation is a quantum mechanical equation, and that quality introduces complications that render the ordinary Monte Carlo method less than satisfactory.
SELID provides fast, comprehensive modeling techniques, such as the Monte Carlo method for simulating e-beam scattering, and it can model the use of advanced chemically amplified resists in processing.
 
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