Newbie question(s)...

From: Jonathan Baker (jonathanrbaker_at_yahoo.com)
Date: 09/16/03


Date: 16 Sep 2003 07:13:58 -0700

Hey all,
Been enjoying this group for a couple days... Although, I must admit,
the Linear Algebra and Statistics are a bit over my head most of the
time... (I'm hitting the books again, please recommend any online
materials, books, magazines, etc.)

Anyway, if you all would tell me what you think of this, I'd
appreciate it...

So you generate irrational numbers... Like the square root of 2.

They are good little numbers because there is no way to predict the
next digit from previous digits... Unlike psuedo-random numbers...
Which could be predictable if the period is too small, right?

And there are an infinite number of them. A loose proof:
- Given, there are an infinite number of prime numbers ... (any good
references to this?)
- I *think* that the square root of any prime number is irrational
(need to write some code...)
- Therefore, if you create new numbers just by using square roots of
primes, you have an infinite amount to choose from...

I'm sure there are other ways to calculate irrational numbers (any
good links?)

So this is good so far... and if you want to get crazy, you can use
diagonalization to pick bits from different irrational numbers...

This is symmetric encryption, right? You can use this number as a key
to say, XOR bits, shuffle them around, pad the data, etc...

Downside, you have to find a secure way to share the key (doesn't
matter if you encrypt for your own use)... which kinda sucks...

Also, it could take a damn long time to generate enough bits of an
irrational number... especially the square root method because you end
up keeping track of (and subtracting) larger and larger strings...

Hopefully, it would take less time to make a decent sized key then to
figure out the plaintext, right?

What do pro's use to make text look "random"?

OK... THAT WAS A REALLY LOADED SET OF QUESTIONS...
I'm basically looking for more links to check/read...

(Flame away!) :)
Jon



Relevant Pages

  • Re: Proof there exists a soul
    ... Robert J. Kolker wrote: ... >> therefore the exact value of the square root of two cannot exist in it. ... >> thing as the exact square root of two, since there is no infinite mind ...
    (talk.origins)
  • #386 What does analysis tell us as to sqrt2 = 1.414....9994L ; new book 2nd edition: New True Mathem
    ... and that we have a backview infinite substring such as 99994L ... It may have a square root that looks like ... sqrt7 are all composed of TWO substrings for which the BackView ...
    (sci.math)
  • Re: QT9xxxx A J KJxx hand again
    ... by a factor of the square root of 5 ... 6.4% .You can be 95% confident an infinitely large simulation would ... Student's "t" distribution (it will be larger the smaller the sample ... In actual fact, the number required for a full sample is far from infinite, since the number of ways the four hands can be distributed is less than 5.4 time 10 to the 28th power and my calculator says the way that the other hands can be distributed once you know one hand looks to be about 8.3 times 10 to the 16th..... ...
    (rec.games.bridge)
  • Re: Cantors diagonal proof wrong?
    ... Curt Welch wrote: ... > of infinite length irrational numbers exist. ... > the full, square root of two, written down anywhere. ... > There's a huge body of work formalizing how they do think, ...
    (sci.math)
  • Re: Chipmunk Basic arrays (Attn: Ron Nicholson)
    ... They do have exact values. ... There is no "last" digit in the square root of 2. ... "I have finished writing down the exact decimal representation ...
    (comp.lang.basic.misc)