Infinite Compression Explained

Because most of you don't read my blog,(i don't read random blogs as well) and have so much questions about what i'm doing with my programs, i'll write it here:
All of the programs(about 6 developed so far) despite wildly varying routines are targeted to generate large integers.
These integers are not files. Following transformations occurs:
encode
1.file is converted to large integer X(arbitrary length).
2.X multiplied by some scale factor e.g. 10e1000 to get a lower bound
2.(X+1)by some scale factor e.g. 10e1000 to get an uppper bound
3.a search is performed for finding numbers inside that range which are easy to represent via formula.
4.if number(s) found its saved to a file.
decode:
1.a formula is supplied with number(s) and filesize
2.the formula generates an integer/float, which is then divided by scale factor(e.g. 10e1000).
3.the first filesize bytes are then written to output.

the proces isn't perfected yet, because the formulas currently used in my programs either too slow to search or cuttoff at float precision(for non-integer parameters)
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http://xs135.xs.to/xs135/09042/av922.jpg
orbis terrarum delenda est

tachyons

The problem with math is: mathematician uses a mathematical metaphor to describe some concept. The metaphor isn't the thing he describes. But math allows one to take the metaphor, and run with it, making arguments that are built entirely on metaphor, but which bear no relation to the real underlying concept. And he believes that whatever conclusions he draws from the metaphor must, therefore, apply to the original concept.

Suppose we loosely define a religion as any discipline whose foundations rest on an element of faith, irrespective of any element of reason which may be present. [Atheism], for example, would be a religion under this definition. But mathematics would hold the unique position of being the only branch of theology possessing a rigorous demonstration of the fact that it should be so classified. -- H. Eves, Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1969.

The mind of man being finite, when it treats of things which partake of infinity, it is not to be wondered at if it run into absurdities and contradictions, out of which it is impossible it should ever extricate itself, it being of the nature of infinite not to be comprehended by that which is finite. -- George Berkeley

consider a compression algorithm to be a function from the set of non-negative integers onto the set of non-negative integers

suppose there exists a compression algorithm f such that for all x less than some positive integer k, 0 <= f(x) < x. then consider S = { x in Z | 0 <= x <= k }. Then f(S) = { f(x) : x in Z | 0 <= x <= k } and for any f(x) in f(S), 0 <= f(x) < x <= k, 0 <= f(x) < k.  Then, by counting, |f(S)| < k+1, but |f(S)| = k, so f cannot be one-to-one and f is not invertible.

any compression algorithm that reduces the size of every input of less than a certain size is not invertible, i.e. it must be lossy.

>>205see>>199

this thread is fun

this thread is redundant

how many of these are there? four?

btw almost any data could be compressed lossy in theory. Even code, well certain code, since there are several instructions which can accomplish the same thing.
Think of the many ways to nop()

RISE FROM YOUR GRAVE!

>>209
btw almost any data could be compressed lossy in theory

Let f be a compression algorithm such that for all x in Z, f(x) = 0

>>211
You've violated my patent. Prepare your anii.

Hello I want to stay anonymous and I want to explain why no one who is serious will actually do this. To begin I was reading over some old AIM (Instant Messenger) logs from 1999 based on what I and this german kid used to talk about.. now I am 25 years old and still don't understand half of the things he used to write to me but it all comes down to this, at the age of 15 as he states and checked by his DOB profile, I cannot get in touch with him anymore but he lived a crazy life don't know if he is in jail now or dead. So let me explain a few things he was a social outcast he used to talk about how easy he could control girls without even talking to him just by clapping his hands and staring at them he would get them to have anal sex with him. Don't stop reading because of that part it's funny I haven't understood what anal sex even met when I was 15 haha. He was socially awkward to talk to becasue of his vocabulary I can't say I was the best influence on him either when ever he used to talk in big words I would say just thats awesome and laugh and thats how it conversations ended. He used help me in magicially turning any shareware program into a freeware and tell me to enjoy it =]. Now I figured out he was a hacker. He also used to talk about how he takes some kind of drugs which induced attention deficit disorder which was half of the key and the other half was empirically (still have problems understanding what this ment) he needed to become into a millionaire by the age of 17 he never logged in AIM after that point he did mention he was rich. I don't know what made him into a hacker but he could take any program apart and recreate the source code to it in less then a week thats what he did to turn RICH and I was a big part of him becoming rich as I told him about this cool software which can detect letters in pictures like a human brain back to text now called OCR (optical character recognition) it was pretty primitive at that time and was a shareware, he quickly made it a freeware for me and continnued to turn it back to source code and work on improving it, later patenting his improvement at a VERY young age i may say 16!. Not sure exactly what he patented it since it was already patented I believe? but he started to license it to websites which were for blind/color blind people, which he later said after I asked him that blind people were definetly not using them it was for automated mail hackers. Thats pretty much the story I have logs here which are still VERY cryptic for me to understand and I'm pretty dang mature. Most of them talk about compression and life and a bunch of other things about space and aliens and things I found useless. He states some funny things he must of been a bit immature back then like he writes that life is just a closed circuit with in a cycled loops. I think he ment environmental evolution? rofl If I could still talk to him I'd comment about that by saying yes life is a cycle :P but its no dang circuit its but its a process of SEX, baby then and age which gives wisdom lol. His compression theories talked about how in life the compression take many cycles to unpack and it may take years for it to fully unpack things that could be done in just a month using a CPU. Haha yah he was pretty nutty talked about evolution I am guessing. I won't go into much details here because I'm still trying to understand half of his theories maybe I could patent some of them and get rich myself.

But I wrote all this to tell you that hackers could turn programs into source code so don't risk it even though hackers may be crazy like this guy but they exist.

I'm learning Visual Basc 6 and I may be able to recreate what this german guy was talking about near the future at the moment I'm struggling with bitwise stuff and loops at the moment it's progress.

>> 209

btw any data could be compressed losslessy in theory:
Let S be a infinite set of all possible files, i and j be natural numbers, f and g be relations f : S → N and g : N → S such that for any file x in S, f(x) = i, g(i) = x, and if i ≠ j then g(i) ≠ g(j), and f(g(i)) ≠ f(g(j)). WTF is that?!

If I define a “file” being a infinite sequence of 0's and 1's (something like streams, let's say it's an AP), then can I claim an “infinite compression ratio” for this file?

>>214

214' autist: Defining what a file is would be nice...
214' autist: I missed L^AT_EX so much!

LOL! I JUST HAD A DESU VU READING THIS THREAD!!

>>214
You don't seem to understand the concept out countability you idiot. Geeze, I swear you're as dumb as frozenVoid.

In order to statisfy part of the countability requirement, all you have to do is define a relation

g: N -> S

Having

f: S -> N

indicates that you are just like your gay lover frozen retard. Ie, a minimum wage faggot.

Then you define i and j to be a set of numbers in N. In other words, having something like

g(i) = x

indicates that you have no fucking clue as to what is going on.

Now, if you can show that there is a some relation g: N->S such that it is both surjective and injective, then you can say there exists a file such that it has an infinite sequence of 0's and 1's.

Cripes you suck. Now go help frozenRetard scrub those toilets you fucking jewish mental midget.