Random number
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Random numbers are sequences of real numbers generated either as physical data obtained from a random experiment or as computer output obtained from a deterministic program.
Random number may refer to:
- A number generated for, or part of, a set exhibiting statistical randomness.
- A random sequence obtained from a stochastic process.
- An algorithmically random sequence in algorithmic information theory.
- The output of a random number generator.
Some of the extensively quoted definitions of random numbers are[1]
A sequence of numbers is random if it has every property that is shared by all infinite sequences of independent samples of random variables from the uniform distribution. (J. M. Franklin)
A random sequence is a vague notion embodying the ideas of a sequence in which each term is unpredictable to the uninitiated and whose digits pass a certain numbers of tests, traditional with statisticians and depending somewhat on the uses to which the sequence is to be put. (D. H. Lehmer)
1. D. E. Knuth: The Art of Computer Programming, Addison-Wesley, Reading, MA, 1969.