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Monte Carlo method |
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Monte Carlo methodStatistical 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 methodA 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 Monte Carlo, of course, is a historical reference to the famous casino in Monaco.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. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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Figure 6 shows the energy of the backscattered electrons determined by subtracting the energy deposited in the energy detector from the beam energy and compares it to an ETRAN Monte Carlo calculation convo- luted with a Gaussian to account for the energy resolution of the detector. NumeriX has developed mathematical techniques that allow Monte Carlo calculations for treatment planning to be completed in several minutes on standard treatment planning platforms without compromising the accuracy. Furthermore, the results of Monte Carlo calculations for the proposed setup are shown. |
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