The Monte Carlo Method and Evolutionary Algorithms

Back then, I thought of one thing: Have you heard of the Monte Carlo method? Ah, it’s a computer algorithm often used for calculating the area of irregular shapes. Specifically, the software puts the figure of interest in a figure of known area, such as a circle, and randomly strikes it with many tiny balls, never targeting the same spot twice. After a large number of balls, the proportion of balls that fall within the irregular shape compared to the total number of balls used to hit the circle will yield the area of the shape. Of course, the smaller the balls used, the more accurate the result.

Although the method is simple, it shows how, mathematically, random brute force can overcome precise logic. It’s a numerical approach that uses quantity to derive quality. This is my strategy for solving the three-body problem. I study the system moment by moment. At each moment, the spheres’ motion vectors can combine in infinite ways. I treat each combination like a life form. The key is to set up some rules: which combinations of motion vectors are “healthy” and “beneficial,” and which combinations are “detrimental” and “harmful.” The former receive a survival advantage while the latter are disfavored. The computation proceeds by eliminating the disadvantaged and preserving the advantaged. The final combination that survives is the correct prediction for the system’s next configuration, the next moment in time.

Notes:

Folksonomies: algorithms evolutionary algorithms

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/education/homework and study tips (0.574530)

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Concepts:
Algorithm (0.947299): dbpedia | freebase | opencyc
Mathematics (0.929627): dbpedia | freebase | opencyc
Randomness (0.882910): dbpedia | freebase
Numerical analysis (0.815831): dbpedia | freebase | opencyc
Cryptography (0.741008): dbpedia | freebase | opencyc
Computer science (0.732405): dbpedia | freebase | opencyc
Monte Carlo (0.710220): website | dbpedia | freebase
American films (0.691768): dbpedia

 The Three-Body Problem
Books, Brochures, and Chapters>Book:  Cixin, Liu (2014-11-11), The Three-Body Problem, Macmillan, Retrieved on 2015-03-05
  • Source Material [books.google.com]
  • Folksonomies: hard science fiction science fiction fiction