Difference between revisions of "Random numbers, Encryption and Hashing"
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==Random numbers== | ==Random numbers== | ||
| − | '''1. Definition:''' A random | + | '''1. Definition:''' A random [[W:Sequence|sequence]] must be generated as if they were [[W:Statistical independence|independent]] draws from a well mixed urn where each number is represented once in the urn. |
Mathematicians prefer abstract specifications not descriptions of processes. | Mathematicians prefer abstract specifications not descriptions of processes. | ||
| − | '''2. Definition:''' A | + | '''2. Definition:''' A random sequence is one in chich each number in the sequence is [[W:Statistical independence|independent]] and equally [[W:Probability|probable]]. |
| − | '''3. Definition:''' A random sequence is one in which all finite sub sequences of numbers are ∞-distributed. | + | '''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 | + | ∞-distributed is an [[W:Independent and identically-distributed random variables|iid]] process chacterized as a sequence of numbers |
Revision as of 00:54, 20 January 2008
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
