I'm skeptical that this could really save any space. Just speculating here, really, but it seems like on average the amount of space needed to store the starting index of an arbitrary string of digits in pi should be greater than (or at least comparable to) the size of the string itself. e.g., the first instance of "256" in pi starts at the 1750th digit. So in that case you're getting a 'compression' rate of -33% if…
File system that stores location of file in Pi
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Re: File system that stores location of file in Pi
#12I'm skeptical that this could really save any space. Just speculating here, really, but it seems like on average the amount of space needed to store the starting index of an arbitrary string of digits in pi should be greater than (or at least comparable to) the size of the string itself. e.g., the first instance of "256" in pi starts at the 1750th digit. So in that case you're getting a 'compression' rate of -33% if…
That said, I wonder if "but remember all that storage space we saved by moving our data into π? Why don't we store our file locations there!?!" wasn't meant as some kind of hint...
Re: File system that stores location of file in Pi
#13I'm skeptical that this could really save any space. Just speculating here, really, but it seems like on average the amount of space needed to store the starting index of an arbitrary string of digits in pi should be greater than (or at least comparable to) the size of the string itself. e.g., the first instance of "256" in pi starts at the 1750th digit. So in that case you're getting a 'compression' rate of -33% if…
Re: File system that stores location of file in Pi
#14Re: File system that stores location of file in Pi
#15Earlier quoted context omitted.
Its also pretty obviously an elaborate mathematics joke.
Yes, but it conceivable. It's like a code. You could securely save files with two numbers. Just a position and length.
Re: File system that stores location of file in Pi
#16Re: File system that stores location of file in Pi
#17I'm skeptical that this could really save any space. Just speculating here, really, but it seems like on average the amount of space needed to store the starting index of an arbitrary string of digits in pi should be greater than (or at least comparable to) the size of the string itself. e.g., the first instance of "256" in pi starts at the 1750th digit. So in that case you're getting a 'compression' rate of -33% if…
Re: File system that stores location of file in Pi
#18"You can't copyright a fact (like a number), but you can copyright a creative work, like a song or a piece of software. But since one can be transformed into another, copyright law is logically INCOHERENT."
Re: File system that stores location of file in Pi
#19Obligatory Dinosaur Comics: http://www.qwantz.com/index.php?comic=353 "You can't copyright a fact (like a number), but you can copyright a creative work, like a song or a piece of software. But since one can be transformed into another, copyright law is logically INCOHERENT."
Re: File system that stores location of file in Pi
#20Earlier quoted context omitted.
I think it would probably take forever for the initial lookup, because the probability of matching any 3 byte sequence is higher than matching a 200 bytes sequence?
Literally forever, right? It's basically scanning a random byte-stream for a 200-byte long exact match. 200 bytes, 1600 bits, or 2^1600 different possible sequences, making the odds 1/2^1600 that any particular 200 bytes pulled out will match the bytes you are looking for.
π: Not quite the definition of normal, but equivalent.