Assuming that pi is random (thought to be true), and that it never ends (known to be true), *any* fixed-length string of numbers can be found.
This is a nit-pick, but I think it needs to be said: Pi is NOT random. Random and irrational are two entirely different things.
A serious question though: Is it true that any fixed length string of numbers can be found in pi? If pi were random, the answer is "yes", however, I do not believe that this MUST hold true for an irrational number. If anyone knows if this has been proven one way or another, I'd appreciate it.
However, I think you are deliberately misunderstanding my prior post. Would it have been better to say: "Given a circle with a radius equal to 1 AU, you could measure the circumference to the size of an atom by using a value of pi with 30 digits or so"? Yes, it would have been more accurate. But I wrote it the way I did for ease of reading. Everyone else understood what I meant.
The point is that length of pi calculation in and of itself is meaningless. Beyond about 100 digits, there is NO meaning in it. You've gone below the planck unit (10^-35 meters... feel free to Google and correct me)
And figuring out the number of digits IS proportional to the radius of the circle. To make sure you don't try to nitpick: proportional to the base 10 logrithm of the radius.
Ummmm. You missed the point entirely. Yes, the orbit of the earth is not a circle. And computing the circumference to have an error the size of an atom was implied. And yes, that precision is dependent on the diameter of the circle. Go back to grade school math.
If you depend on the source code for optimizations, don't you get yourself into a situation where you have to review any upgrades to ensure that your optimization haven't gotten "broken"? I like APIs, as they shift the responsibility back to the first party...
Granted, nothing I do requires incredible optimization to run efficently. I imagine their are some power users who need this. However, in my experience, there are more people who think they are cutting edge than there really are...
To those who modded this troll: Just because you disagree with someone's thought does not make it a troll. I think this is a perfectly reasonable question.
The unefulness of calculating pi to this number of digits is nill. After about thirty digits, you have the orbit of the earth calculated, with an accuracy equal to the size of an atom. Computing the circumference of a circle with diameter equal to size of known universe takes about fifty digits.
The only interesting part of all this is the way that the algorithms (invented by Al Gore, hence the name) to calculate have become lossless in binary.
Part of the issue I had when I was in grade school and crate my own pi generator using the 4 * (1 - 1/3 + 1/5 - 1/7....) algorithm, was the rounding error that creeped in. My TRS-80 model one would get the 3.141 part correctly, but depending on the implementation method, would round the rest in strange ways.
Now, you can get an absolutely correct n binary digits of pi, and pick up where you left off. I've read over these algorithm proofs, and only get a headache:)
Three of the five members were appointed by Republicans. They all voted for the rights of the corporations over the people. The two Democrat-appointed members voted against. So, in this case, the Democrats were more conservative.
And to the moron who modded this off-topic, please log into another box, and tell me why this is off-topic. Because you are still voting for whatever Republican tells you he is conservative as he spends your children into slavery?
Your post was somewhat of a troll.... somewhat insightful. Difference between your case and this one: The rights of the individual were being denied in the case you cite. Corporations have no rights, and the Feds shouldn't step in to create them.
... I'd like to get my party back. Trampling on State rights is definitely not. If you are still voting Republican because of their "conservatism", I'd like to ask you how your lobotomy went.
Remember... information wants to be free. You have no right to earn money. Just provide all of your music. We will download it, and then tell you that if your music weren't crap, we'd pay for it.
Slashdot Mirror
The plank unit is NOT a unit of energy. Go look it up
And I made your second point in the original message.
You are a troll.
No, but it is really hard to search for a specific clip in your 250 tape collection, much less the world's collection.
Kinda curious to see what the brains at Google will be able to do with this.
Assuming that pi is random (thought to be true), and that it never ends (known to be true), *any* fixed-length string of numbers can be found.
This is a nit-pick, but I think it needs to be said:
Pi is NOT random. Random and irrational are two entirely different things.
A serious question though: Is it true that any fixed length string of numbers can be found in pi? If pi were random, the answer is "yes", however, I do not believe that this MUST hold true for an irrational number. If anyone knows if this has been proven one way or another, I'd appreciate it.
I take back the part about going back to school.
However, I think you are deliberately misunderstanding my prior post. Would it have been better to say: "Given a circle with a radius equal to 1 AU, you could measure the circumference to the size of an atom by using a value of pi with 30 digits or so"? Yes, it would have been more accurate. But I wrote it the way I did for ease of reading. Everyone else understood what I meant.
The point is that length of pi calculation in and of itself is meaningless. Beyond about 100 digits, there is NO meaning in it. You've gone below the planck unit (10^-35 meters... feel free to Google and correct me)
And figuring out the number of digits IS proportional to the radius of the circle. To make sure you don't try to nitpick: proportional to the base 10 logrithm of the radius.
Kinda funny that someone who complains about Roland P's posts would himself be using Slashdot for his own game.
And man do you have a potty mouth.
Ummmm. You missed the point entirely. Yes, the orbit of the earth is not a circle. And computing the circumference to have an error the size of an atom was implied. And yes, that precision is dependent on the diameter of the circle. Go back to grade school math.
I was eight. I didn't hit Calc II until the following year :)
Was this Carl Sagan, or Isaac Asimov?
If you depend on the source code for optimizations, don't you get yourself into a situation where you have to review any upgrades to ensure that your optimization haven't gotten "broken"? I like APIs, as they shift the responsibility back to the first party...
Granted, nothing I do requires incredible optimization to run efficently. I imagine their are some power users who need this. However, in my experience, there are more people who think they are cutting edge than there really are...
To those who modded this troll: Just because you disagree with someone's thought does not make it a troll. I think this is a perfectly reasonable question.
The unefulness of calculating pi to this number of digits is nill. After about thirty digits, you have the orbit of the earth calculated, with an accuracy equal to the size of an atom. Computing the circumference of a circle with diameter equal to size of known universe takes about fifty digits.
:)
The only interesting part of all this is the way that the algorithms (invented by Al Gore, hence the name) to calculate have become lossless in binary.
Part of the issue I had when I was in grade school and crate my own pi generator using the 4 * (1 - 1/3 + 1/5 - 1/7....) algorithm, was the rounding error that creeped in. My TRS-80 model one would get the 3.141 part correctly, but depending on the implementation method, would round the rest in strange ways.
Now, you can get an absolutely correct n binary digits of pi, and pick up where you left off. I've read over these algorithm proofs, and only get a headache
Thanks for the information. I was not aware of this.
Three of the five members were appointed by Republicans. They all voted for the rights of the corporations over the people. The two Democrat-appointed members voted against. So, in this case, the Democrats were more conservative.
Don't let facts get in the way of a good argument...
And to the moron who modded this off-topic, please log into another box, and tell me why this is off-topic. Because you are still voting for whatever Republican tells you he is conservative as he spends your children into slavery?
Your post was somewhat of a troll.... somewhat insightful. Difference between your case and this one: The rights of the individual were being denied in the case you cite. Corporations have no rights, and the Feds shouldn't step in to create them.
... I'd like to get my party back. Trampling on State rights is definitely not. If you are still voting Republican because of their "conservatism", I'd like to ask you how your lobotomy went.
Just think how big of a minefield you can work with now!!!
is like asking someone why they would read a book instead of watching the movie of the same story
Because you can check out the book for free from the library (MUD) while the movie costs money (EverQuest).
Duh!
Oh, come on. Wesley CRUSHER hangs out here!!!
Remember... information wants to be free. You have no right to earn money. Just provide all of your music. We will download it, and then tell you that if your music weren't crap, we'd pay for it.
Worse.
You speak as if the editors read the submissions!
It says "this guy shouldn't be allowed to touch himself, much less a computer".
What about uncommon people?
http://slashdot.org/users.pl?uid=822545
:) Thanks, though!
Someone else told me about five minutes ago
Time to change that sig...