Estimating Pi with Twister Algorithm & Monte Carlo Simulation

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SUMMARY

The discussion focuses on using the Twister algorithm in MATLAB to perform a Monte Carlo simulation for estimating the value of Pi. The user attempts to generate 500 uniformly random throws within a unit circle using the command rand('twister', 0.123456) but encounters issues with the output. Clarification is sought regarding the plotting of points and the interpretation of variables 'b' and 'w' in the context of the simulation.

PREREQUISITES
  • Understanding of Monte Carlo simulations
  • Familiarity with the Twister algorithm for random number generation
  • Basic knowledge of MATLAB programming
  • Concept of estimating Pi using geometric probability
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  • Learn how to properly implement the Twister algorithm in MATLAB
  • Research methods for visualizing Monte Carlo simulation results in MATLAB
  • Explore the mathematical basis for estimating Pi using random sampling
  • Investigate the differences in random number generation across programming languages
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Mathematics enthusiasts, MATLAB programmers, data scientists, and anyone interested in computational simulations for estimating mathematical constants.

bobsmiters
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okay new problem here. I am doing a Monte Carlo simulation to estimate pi. The question deals with throwing darts randomly at a board with a radius 1 with a square inscribed in it. I have done a script that randomly selected a number b/w -1 and 1. Then I was supposed to generate the results of 500 uniformly random throws using the twister algorithm and seeded with 0.123456

I approached this by: rand('twister', 0.123456) nothing happened I'm not sure if that is supposed to happen?

The next part of the question asks you to use this information to estimate pi. To answer this question do I plot the points that were randomly assigned?
 
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bobsmiters said:
okay new problem here. I am doing a Monte Carlo simulation to estimate pi. The question deals with throwing darts randomly at a board with a radius 1 with a square inscribed in it. I have done a script that randomly selected a number b/w -1 and 1. Then I was supposed to generate the results of 500 uniformly random throws using the twister algorithm and seeded with 0.123456

I approached this by: rand('twister', 0.123456) nothing happened I'm not sure if that is supposed to happen?

The next part of the question asks you to use this information to estimate pi. To answer this question do I plot the points that were randomly assigned?
I am afraid you are going to have to explain more. Do you mean b/(w-1) or (b/w)- 1? What are "b" and "w"? What language are you using? "rand" may work differently for different languages (and different compilers for a given language).
 
Re

Sorry, I meant between (b/w) -1 and 1. I am using the MATLAB program.
 

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