Random numbers, Encryption and Hashing

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Random numbers

1. Definition: A random sequence must be generated as if they were independent draws from a well mixed urn where each number is represented once in the urn.

Mathematicians prefer abstract specifications not descriptions of processes.

2. Definition: A random sequence is one in chich each number in the sequence is independent and equally probable.

3. Definition: A random sequence is one in which all finite sub-sequences of numbers are ∞-distributed.

∞-distributed is an iid process chacterized as a sequence of numbers