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Project 12.1 ? Monte Carlo Integration
A common application of Monte Carlo simulation is to provide numerical approximations.One such application is to approximate the area under a curve,or Monte Carlo integration.The following figure represents such a curve,defined over the range of X = 0 to X = 13.Call the area under this curve A.
Monte Carlo integration begins by overlaying on the curve of interest a region call this region,B)whose area is easy to calculate i.e. ,a box).Monte Carlo integration then involves the random generation of points in B and a determination of the percentage of these points that fall in A i.e. ,fall below the curve).This percentage represents that portion of the area of B that is the area of A.
Use Monte Carlo integration techniques to approximate the area under the curve.Use exact techniques to calculate the true area under the curve.How accurate is your approximation?
Chesapeake Families
Refers to the socio-economic structures and family systems predominant in the Chesapeake Bay region during the colonial and early American periods.
Seventeenth-Century
The period of time from the year 1601 to 1700, marking the 17th century in the Gregorian calendar.
Cash Crops
Agricultural products grown primarily for sale to generate revenue rather than for personal use or sustenance.
Material Possessions
Items of physical property owned by individuals or groups, including things like homes, cars, and personal belongings.
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