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What is the mathematical basis for those Random Number Generators?
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which are not truly 'random', but pseudorandom
Depends on the random number generator in question.
like the C standard library's rand() function
They all use a "seed", which biases the randomness.
but after that, how are the numbers themselves generated? is it like an equation?
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Relevant quote: "Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin." -- John Von Neumann
Yes, it is a set of equations. Each time, the seed changes, so the next time, you get a different number. Again, it is not quite random. But, serves some purposes.
is it possible to predict it if it depends on time? why not?
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