Scratch

antimonyarsenide wrote:

Kileymeister wrote:

antimonyarsenide wrote:

That gives you 0=1, so the solution for X is a null (empty) set. Simple.

But, no, it wouldn't be the "formula" for infinity, because then you can manipulate it to do all sorts of weird things.

Now, another question.

1/0

Could THAT be the "formula" for infinity?

No, because 0 * infinity is equal to 0.  It's not possible for zero to be fit into a 1.

Because, after all, division is simply how many times a number fits into another.  0 never fits into a number, ever. 

Technically not even 0/0 works, because inversely, that is equal to literally every number ever, and therefor undefined. Any number besides 0 is just undefined.

Yes. And that would mean that...

1/0 > +∞ ?! 

And, guys, yes, division by zero is impossible. But so is square rooting by a negative number, and that's why complex numbers were made. To get results from the impossible.

So, if we started a new branch of mathematics called infinometry, with the base "undefined" (as opposed to imaginary) number being 1/0... well idk 
3+2i+5/0
We could make an equivalent of e for undefined numbers, such that ä^(z+q/0), where z and q are complex numbers, =ä^(Re(z) )+cos( (ln ä)Im(z)/i)+isin( (ln ä)Im(z)/i)+cos(Re(z)+q/0)+isin(Im(z)+q/0)+tan(q-z/0)/0...

...Or something like that 

Infinometry is actually Calculus BC. Took it last year. Fun stuff.

Just saying:
0 ∞ = indeterminate ≠ 0
∞/∞ = indeterminate ≠ 1

Last edited by mathematics (2010-12-21 05:13:41)

MaxtheWeirdo wrote:

In programming, that is valid code to change X by one.

X must have a value for that.

TheSaint wrote:

Infinometry is actually Calculus BC. Took it last year. Fun stuff.

that question cannot be answered because you have a single x on both sides of the equation.  its impossible.

now x = 2x + 1

thats possible

if this was X+X=1 I could easily find the answer but X=X+1 hurts my brain. e_e

what-the wrote:

Well lets rearrange the equation.

x = x + 1
Eliminate the x'es (One on each side so we can do it)

0 = 1

On another note 0 does = 1

0 * 0 = 1 * 0
Eliminate one zero from each side

0 = 1

For the first equation the only thing I can think of that would fit would be infinity and to even get into any of these situations you have to divide by zero. Even if it is 0/0.

Great point, could be zeros, but then its impossible for the fover equasion

PLEASE DON'T SKIP THIS POST. READ IT.

RHY3756547 wrote:

Simple, it isn't an equation.
That's an inequation. You can't just make it an equation and puzzle over it for the rest of time.

I agree, making something up and puzzling about it is just dumb. There are many other things you can do. Though it could be fun to make something up and people take it seriously.

On another note.
To arrive at x = x + 1 in the first place you had to of divided by zero at some stage. As seen in my 0 = 1 equation (quoted a few posts above). This is against the rules of mathematics and therfore such an equation has broken the rules and should be disregarded.

Thank you.

Last edited by what-the (2010-12-22 09:59:09)

Well, you know, if P=NP...

midnightleopard wrote:

X=X+1. How can a number equal itself plus 1? Would this be the formula for infinity?

To me it looks like an iterative equation. Rather simple, but with something a bit more complicated you can get interesting behavior.

For example, this project uses a similar equation: x = rx(1-x)

But in this case, it really means the next value of x is equal to rx(1-x). 

And iterates it a couple thousand times and draws a graph of each value of x with it. As you'll see, there's some interesting / weird behavior.

So anyway, an equation like your original becomes more interesting if you think of it as happening iteratively, across time.

majormax wrote:

roger- wrote:

Kileymeister wrote:

(infinity/infinity) is not equal to infinity. yes it is because infinity divided by any number is infinity. infinity divided by itself is 1

(infinity/1) * (2/infinity) is not equal to 2.check your math.  infinity/1=infinity and infinity/2=infinity and infinity*infinity=infinity, not two. 2/infinity

Check your math.

you check your math

argh it is false. I wasn't thinking when I posted this I look like an idiot. I wasn't thinking that way, I was just thinking about infinity and how a number equals itself plus one goes on forever. *face palms* I am an idiot.

**I AM REQUESTING TO CLOSE THIS BEFORE I AM EMBARRASSED EVEN MORE**

Last edited by midnightleopard (2010-12-22 20:49:01)

Closed by request of the topic owner