[JAVA] Calculate Pi!

[Sidoh]

Sweet, I sparked a nice conversation by being an idiot!

You're actually pretty good at that, I've noticed. :P

[d&q]

rabbit: What do you mean Pi itself is a function?

[Joe]

rabbit: What do you mean Pi itself is a function?

Yeah, I don't quite get that either.

[AntiVirus]

Rational Numbers- Can be written as a result of the calculation: a/b. This includes repeating decimals, such as 5/7 or 1/3.

I may be wrong.  But, don't raitonal numbers have numbers that repeat after teh decimal?  Such as .3333333 ect.  But, 5/7 doesn't fit the description, so did you mean to put that in irrational?  Or am I just wrong?

[iago]

Rational Numbers- Can be written as a result of the calculation: a/b. This includes repeating decimals, such as 5/7 or 1/3.

I may be wrong.  But, don't raitonal numbers have numbers that repeat after teh decimal?  Such as .3333333 ect.  But, 5/7 doesn't fit the description, so did you mean to put that in irrational?  Or am I just wrong?

You're just wrong :-P

Rational numbers have numbers that repeat, as well as numbers that terminate (I forget what they're called), an integers, whole numbers, and natural numbers. 

Irrational numbers contain all rational numbers, and everything below it. 

[d&q]

Haha, 5/7 does repeat  :), there is as cool little pattern to know what any x/7 repeating decimal is.

@iago, Actually, I believe irrational numbers do not contain rational numbers, as irrational numbers cannot be written as "a/b".

[MyndFyre]

@iago, Actually, I believe irrational numbers do not contain rational numbers, as irrational numbers cannot be written as "a/b".

You are correct, Real numbers are the set of rational numbers plus irrationational numbers, like the set of all numbers contains real and imaginary numbers, whcih are mutually exclusive.  ;)

[iago]

x86] link=topic=3640.msg37879#msg37879 date=1131753641]

@iago, Actually, I believe irrational numbers do not contain rational numbers, as irrational numbers cannot be written as "a/b".

You are correct, Real numbers are the set of rational numbers plus irrationational numbers, like the set of all numbers contains real and imaginary numbers, whcih are mutually exclusive.  ;)

Ah, you're right, I was mixing up irrational and real.  Stupid mistake :)

[rabbit]

The first pi function (lowercase pi, as we usually see it), is the number of primes less than the argument.
IE:


The second pi function (uppercase pi) is the expression for the process of Eratosthenes' Sieve (the multiplication of all factors of the argument).
IE:

[MyndFyre]

The first pi function (lowercase pi, as we usually see it), is the number of primes less than the argument.
IE:


The second pi function (uppercase pi) is the expression for the process of Eratosthenes' Sieve (the multiplication of all factors of the argument).
IE:

That seems off.  Number of primes less than 60 is not 46.7 billion.  They are: 2,3,5,7,11,13,17,19,23,27,31,37,41,43,47,53,57.

The multiplication of all positive integral factors of 12 = 1 * 2 * 3 * 4 * 6 = 144.

Unless I'm misunderstanding you.

[rabbit]

I got it backwards!!  Whoops....fixing...

Fixed.  Even still, you should have noticed it was backwards considering I said the case of pi...and then had the different cases.

[iago]

But in any case, neither of those has anything to do with the constant Pi, doe they?

[rabbit]

Sure they do!  They are all represented by the Greek letter Pi.

[Tomcat]

e is like pi, I believe.  My ti-83 says it's approximately 2.71828182.  If by "like infinity" you mean not a number, then no, it's a number.  It's more like Pi in that they are both irrational numbers.  I would, however, relate it more closely to phi (phi is approximately 1.618...), because both were discovered frequently in nature.  Phi is a very interresting number.

-EDIT-

The only possible way I could think to produce ∞ from an equation would be x*0=0. But as that is undefined, I do not see any other way.

x*0 equals 0.  It's defined as 0, isn't it?  anything * 0 is 0, or so I thought.

[Sidoh]

e is like pi, I believe.  My ti-83 says it's approximately 2.71828182.  If by "like infinity" you mean not a number, then no, it's a number.  It's more like Pi in that they are both irrational numbers.  I would, however, relate it more closely to phi (phi is approximately 1.618...), because both were discovered frequently in nature.  Phi is a very interresting number.

-EDIT-

The only possible way I could think to produce ∞ from an equation would be x*0=0. But as that is undefined, I do not see any other way.

x*0 equals 0.  It's defined as 0, isn't it?  anything * 0 is 0, or so I thought.

I think those things have already been mentioned.  :P

x * 0 = 0 is one way to think of infinitie, but since you can't devide by zero due to mathematical laws, it's undefined, not infinite.