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random numbers

Name: DAn 2008-04-29 0:41

What are the qualities of random numbers?  As I remember from math class, a truly random number is one without any pattern. 

Is it safe to read into that and say that in approach of the infinity-ith digit of that random number, every possible sequence of digits will have presented itself in that number?  If this were not the case, would there not be different types of random numbers, each presenting a different type of set of numbers out to the infinity-ith digit?  Could this be possible without a pattern?

If every possible sequence of numbers is present in any random number, is not every other random number present in that random number?  Is that random number not present within itself?  Is that not a pattern? 

There's something the fsck wrong here.  Either there is no infinity or there is no random.  Either that or I'm looking at this the wrong way. 

Name: DAn 2008-04-30 2:34

>>2
Yah, a uniformly distributed arbritrary (UDA) number.  Pi is what came to mind.

I was thinking that different UDA numbers (pi and e, perhaps) could be the same, ie: a pattern could exist in a bit by bit comparison between the two UDA numbers, or any UDA numbers.

But... I'll have to brush up on the math and matlab skills to go anywhere with that. 

hah... http://www.everything2.net/index.pl?node_id=1302963


Peace.

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