Scratch

Or to make it more complicated: x=x^(x-3)+1/(x^x)*x-x Still the same answer: x=∞

werdna123 wrote:

Or to make it more complicated: x=x^(x-3)+1/(x^x)*x-x Still the same answer: x=∞

That's not true... this time there are solutions to this.
The solutions are x = 1 and x ≈ 4.462969506905278...

Also,
∵ ∞^(∞-3) = complex infinity and 1/∞^∞ ∞ = 0 infinity = indeterminate
∴ ∞^(∞-3)+1/∞^∞ ∞-∞ = indeterminate

Last edited by mathematics (2010-12-20 05:40:59)

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.

To eliminate the zeros from each side you would have to DIVIDE BY 0! You can NEVER divide by 0.
That took a lot of BBCode. And you just lost the game.

X= -1

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

MaxtheWeirdo wrote:

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

I now feel stupid.

Max, you are the genius.    X =X+! actually is just changing the value of X by one. ITs the same as the blocks
(Set Var X To: ((Var X)+(1) ) )
rather than using
(Change Var X by (1) )

Last edited by TheSaint (2010-12-20 09:47:24)

TheSaint wrote:

MaxtheWeirdo wrote:

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

I now feel stupid.

Max, you are the genius.    X =X+! actually is just changing the value of X by one. ITs the same as the blocks
(Set Var X To: ((Var X)+(1) ) )
rather than using
(Change Var X by (1) )

SEMICOLON ALERT!!!!! SEMICOLON ALERT!!!!! SEMICOLON ALERT!!!!!

AHHHHHHHHHHHHHH!!!!!! WE'RE ALL GONNA DIE!!!!!!!!!!!!!!!
[/offtopic]

Actually, that sounds right to me.

Kileymeister wrote:

antimonyarsenide wrote:

midnightleopard wrote:

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

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 

Last edited by antimonyarsenide (2010-12-20 11:41:54)

x=Sandvich



END OF STORY

Last edited by agscratcher (2010-12-20 14:16:14)

degscratcher wrote:

EPIC FAIL. Scratch is a programming language and nobody knows what X=X+1 means? It means take the a variable X, and add one to it. Because instead of being X, it is X+1. So, programers loop this equation a certain number of times when a condition is fulfilled so you can increase X. For instance:

When flag clicked:
  Set <X> to (4).
  Forever if <player one> is touching <player two>
    Set <pain> to (X=X+1)

That's basically it, so you can stop now. Problem solved.    Although, if you infinitely looped X=X+1, then yes, it would equal infinity.

       

I believe most people were talking about the mathematical meaning of x = x + 1 as opposed to the programming related meaning.

In the case of programming languages, this would increase the value of x by 1 each time that bit of code was used.

In math, we can simplify the equation to
x = x + 1
-x  -x
0 = 1

This is obviously untrue, and therefore there are no values of x such that our equation are true.

Our answer is then Ø

demosthenes wrote:

degscratcher wrote:

EPIC FAIL. Scratch is a programming language and nobody knows what X=X+1 means? It means take the a variable X, and add one to it. Because instead of being X, it is X+1. So, programers loop this equation a certain number of times when a condition is fulfilled so you can increase X. For instance:

When flag clicked:
  Set <X> to (4).
  Forever if <player one> is touching <player two>
    Set <pain> to (X=X+1)

That's basically it, so you can stop now. Problem solved.    Although, if you infinitely looped X=X+1, then yes, it would equal infinity.

       

I believe most people were talking about the mathematical meaning of x = x + 1 as opposed to the programming related meaning.

In the case of programming languages, this would increase the value of x by 1 each time that bit of code was used.

In math, we can simplify the equation to
x = x + 1
-x  -x
0 = 1

This is obviously untrue, and therefore there are no values of x such that our equation are true.

Our answer is then Ø

Yes yes, I know, that's why I mentioned infinitely looping infinity, so I talked about the mathematical way.         

It's all in your mind

X=X+ 1 or -1 Is the formula for a random number between infinity and -infinity.