comp4 - Computer project 4 PHZ 5156 Results due Tuesday...

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Computer project 4 PHZ 5156 Results due Tuesday October 24 Please submit your code and plots wherever requested. Results can be handed in either as a hardcopy, or as an electronic document (e.g. tex, latex, MS word, or even a .pdf) sent via email. This assignment makes extensive use of the ran2.f subroutine provided from Numer- ical Recipes in Fortran. 1. Write a code using ran2.f that computes the average of many generated random numbers. Also, create and plot a histogram with the frequency of random numbers in certain ranges between zero and one. Does the average come out to be close to 1 2 if you generate enough numbers? Finally, does the distribution of numbers in your histogram look to be uniform? Include a histogram with your report. 2. For a random number sequence I 1 , I 2 , I 3 , ..., I N , compute correlations between numbers in the sequence. For example, for neighboring numbers in the sequence, we compute, G 1 = 1 N - 1 N - 1 X i =1 ( I i - 1 2 )( I i +1 - 1 2 ) where we are assuming that the average of the sequence is
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comp4 - Computer project 4 PHZ 5156 Results due Tuesday...

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