Pi

[deposition]

uhh Thx for copying the post that is right after the post you quoted.

[Chrissi]

Phi is much greater than pi. I love phi. And the fibonacci sequence.

1/phi = phi - 1! Try it!

Phi is also equal to (1 + squareroot(5))/2. It's so much easier to calculate than pi.

[alainbryden]

so what is it used for?

[Chrissi]

Not sure, but it's cool.

Other people know what it's used for. Me, I don't know, other than it occurs a lot in nature. Like the spiral of the middle of many flowers is a spiral based on the golden ratio. Flowers often have petals corresponding to numbers of the fibonacci sequence. Pinecones use the golden ratio.

[alainbryden]

phi sounds like it would be used for some sort of derivative or substitution simplification. As for the golden ratio, it's nice to know math is actually on to something

[KeyWest]

huh?

[alainbryden]

great firt post n00b. For future reference, stfu.

[Chrissi]

The golden ratio = phi.

Fibonacci sequence = a special series of numbers whose ratio of (n+1)/n approaches the golden ratio the higher they get.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... fibonacci sequence.

So i.e. 89/55 is pretty damn close to phi while 13/8 is not as much.

I don't know if they ever actually reach the golden ratio, but I'm guessing no. It sounds like an "approaches but never reaches" thing.

[deposition]

pi is not a circle. Pi is the rato of a circle's circumfrence to its diameter. and i only know 3.2425926535897932384626433832795028841971

I hope that is a typo.

[Takisho]

Fuck

I didn't realize that calculating pi was so complicated. I still don't understand it because I'm in 8th grade, where all we know about pi is "3.14."

Oh yeah, one time my math teacher filled an entire white board with pi.

KeyWest = n00b

[Anonymous]

That is one long word. However, I have used antidisestablishmentarianism in a sentence before, therefore I win

What is that word anyway? Some sort of medical term I'd assume

[Pennybags]

^^ This was me adressing this post:

some people spend their lives trying to find more digits in Pi, so it must have some meaning to some people.

ahahaha no! no one spends their lives calculating pi. They have programs running it, and simultaneously searching for a repeating part. Lol...whole lives...

I know Pi to the exact same length as Lupin and Blue. How weird. It must be the pattern that's easy to memorise.
AND I read the book "life of Pi" :P
AND I saw the movie Pi!

...AND I know the longest word in the english language: Pneumonoultramicroscopicsilicovolcanoconiosis!

[alainbryden]

Yes, it is a lung disease caused by breathing in volcanic smoke.

Aasumdude, get the first 4 numbers right before you copy the rest out of a calculator

The fibbonachi thing's limit approaches phi. It is infact very significant that it never reaches it. You'll learn limits in grade 11/12.
And careful when you say it's (n+1)/n. Just so people know, fibbonachi is a series, and by (n+1)/n it means then a number in the sequence, devided by the previous number in the sequence. If anything, it would be presented as n / (n-1)

If you want PHI
In the fibbonachi sequence
PHI = lim       TN  
       n->oo    TN-1

(oo represents infinity)

[Chrissi]

Hey alain, who are you talking to when you say "You'll learn limits in grade 11/12"? Because I've already taken the highest level calculus at my school. Also, we didn't discuss fibonacci in my calculus class.

It's spelled fibonacci.

And yes, I could have said n / (n - 1) rather than (n + 1) / n, but they are identical, so it doesn't really matter. They are equal, or so close to equal that it doesn't even matter. What's the diff? I'd rather say n + 1, because what if n is 1? We're going to divide by the 0th term? Or even worse, if n is 0... the -1th term?

Edit: I realize that only one of those possibilities will work (and I'm not sure which, because I don't know if sequences have a 0th term), but I'm just saying, using n + 1 is generally safer, isn't it?

[alainbryden]

You were correct in saying that, logically, except fibonacci (didn't really try to spell it the first time) has an unordered definition, where term 1 and 2 are both defined as being 1. All sequences and series have a defined first term, but Fibonacci is special for having the first two defined. Nonetheless, it is generally unheard of for referencing to the next term in a recursive sequence because by definition, all terms with exception to the first are defined in terms of their preceeding term, so it would be illogical to reference these since technically, the next term hasn't been calculated yet.