As if thats not bad enough, someone wrote an entire book that contains the exact date and manner of my death and put it in the library of babel.
There lies answer to every question we answered and to questions we haven’t yet figured out and even to those we don’t know we can ask such as what’s the penis size of your girlfriend’s secret boyfriend
It’s definitely not 3.14. I can tell you that much to help you narrow down the possibilities a bit
Units you ask? Astronomical units
Girls are from Venus remember and boys are from Mars. There is quite a bit of distance
I thought pi hadn't been proven to be normal, only conjectured to. My phone number isn't in the digits of pi that we've discovered so far, for example: https://www.angio.net/pi/
Plot twist: the websites that check if a given number has been found in pi are actually just data mining operations looking for credit card numbers and phone numbers.
There is a website that just has like, a million digits of py in plai text, you could go there and ctrl+f
That did occur to me, so I only gave them my old number.
Well obviously that's not in pi. Pi only tracks current phone numbers.
I checked a couple but none were found if I included the area code.
Based on my sample size of half a dozen phone numbers, it doesnt seem to have numbers once they are more than 8 digits.
Seems like there should some formula to determine how long the normal number needs to be to have all digits go to a certain length.
Reminds me of the formula for calculating the shortest path to watch all episodes in a tv series in all possible orders.
If you explore compression using pi - i.e., giving an index and a length of pi as your compression method - what you'll end up finding is that the length of the data you want to compress is about the same as the length of the index in pi your data is at.
So if you wanted to "compress" five digits by just linking to its index in pi, you would most likely need a five-digit index into pi to find the spot where pi has that number. So, you save nothing on average.
There's a good blog post that goes into this, but I'm having trouble finding it. The rough explanation I can remember is: if you have every permutation of a given length n in a row with an even distribution, then a random string you choose is likely to be in the middle of that length. Using our numbers 0-9 as our base, that puts you at index 10^n/2. Given our example of 5 digits, that's 100000/2 - 50000, itself a 5 digit number, saving us no space.
In the mean time, you can use pifs to "store" your data using similar ideas.
Didn't say anything about compression.
Indexing and compression are not the same concept.
If there was an index for all 5 digit sequences and their locations, it wood reduce the search space for finding a 6 digit number.
This is about look up speed not saving space. Indexes always increase storage requirements. Always.
The question being asked here is does pi contain my phone number? Not does pi contain my phone number with an index location whose numeric value is shorter than my phone number?
Does pi contain my phone number?
We can't yet answer this because we don't actually know whether or not Pi contains all permutations of all numbers. It's conjectured that it does, however.
Didn't say anything about compression.
You didn't, but "compression" using pi actually asks the same question you do, iiuc, of " How far do I have to search in order to find a thing of a given length?" And the answer is - if pi truly does contain all permutations of all numbers - probably 10^length /2 - for phone numbers, 10^10 /2, or half the length of all of the permutations of 10-digit phone numbers next to each other.
Which, coincidentally, and the reason I was aware of this, is why indexing into pi doesn't save you space on average if you're being a nerd and trying to use it for compression.
Someone has calculated the first 100 Trillion digits of pi, so if I understand the equation you're suggesting they means it is possible to know if pi contains all permutations of all phone numbers.
To keep the nerd going, I believe you're over counting because not all 10 digits numbers are a valid phone number but I doubt that matters but it does reduce total number of numbers to find.
And if we want to include international numbers the longest possible phone number is 15 digits which falls just outside the range of calculated digits 100 trillion (10e14)
Someone has calculated the first 100 Trillion digits of pi, so if I understand the equation you're suggesting they means it is possible to know if pi contains all permutations of all phone numbers.
Yep, it definitely means we're above the average chance we could find a given 10-digit number in what's been looked at so far, if we're up to 14 digits! But here's the trouble: that calculation gives the "average" chance.
In the same way you could see the number "1" more than once in pi, you could see "11" more than once in pi, and so on for all sizes of patterns, as long as they're part of a larger not-yet-seen pattern (and as long as mathematicians' as-of-yet unproven guesses about pi are accurate). So if you're unlucky, even if pi does turn out to contain all numbers, we still may not have hit exactly your number yet, because larger patterns have been ahead of it that include things that aren't your number. But the odds are in your favor as far as I know.
Sorry for the AI slop. I am not an artist and just thought this was kind of funny. I like that Ω is hidden in their hairstyle.
Chaitin’s Ω: Not just transcendental but uncomputable and algorithmically random. Also normal in every base.
Tap for spoiler
What does Omega mean?
Chaitin's constant also known as Chaitin’s Ω is transcendental, uncomputable and algorithmically random. Also normal in every base. I don't know how or what any of it means, but it's a provable, normal number.
is 200m what's been discovered, or just what was worth putting into this program? Not a huge expert but I thought it's all fairly easy to get the next number of pi, just seemingly never ending.
We currently know about 202 trillion digits of pi. As for your other question: it is easy to get the next digit of pi from a "mathematical" point of view. By this I mean that we know functions that will approximate pi with as much precision as we want, but actually having a computer do it is very hard. The digits we know today took 3 months and needed 1.5 petabytes of high end storage.
Apparently it's been calculated to trillions of digits so a bit lacking.
The search on that length would need an optimized index.
Yes, I'm aware of that, but being irrational alone is not sufficient. There are an infinite number of irrational base-10 numbers that only contain combinations of 0 and 1, for example, and none of them will contain my phone number, credit card, etc.
Not all irrational numbers are normal numbers, and only normal numbers are guaranteed to behave as described in the OP.
It doesn't contain your phone number when read as a base 10 number! Checkmate, I got your phone number!
Sorry...
How about if it's read as a base pi number?
Your compensation is a giant storage system
Write (initial lookup) speed must be atrocious, but I do wonder about the read speed.
I bet there are algorithms which can compute arbitrary digits of Pi in Log time or less, and you could parallelize that to make data retrieval very fast.
I look forward to the day where someone encodes Rick Astley's famous hit, using 10 indices or less
I know mine is in there
Only if you have mesothelioma too.
They say that a beam of light doesn’t understand time. That if you were to travel at the speed of light, a ray of light would just be one long line with a start and end point.
They also say that a beam of light has infinite possibilities to get to a destination, and the destinations it can get to are infinite as well. As in life, it’s all in the journey. The journey can be as short or as winding as you choose to make it.
But that makes me wonder about things like pi. It’s a journey that is never ending. If a ray of light followed the path of pi, though it gets ever closer, it never reaches its final destination. It is truly immortal.
And if that’s the case, then that must mean universes, in some way, until the numbers stop numbering, are too.
Journey before destination
Oh my god, I just checked in mine's in there too!
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