Oops I broke the laws of math.

[Ghakimx]

Re: Oops I broke the laws of math.

If x is any number,

x ^ 0 = 1

Explain please.

[leonid]

Re: Oops I broke the laws of math.

The reason why I suggested we please not get into this is that we were going to discuss a thing that's of the same level as "IS ONE PLUS ONE TWO OR THREE"

[PhaeL v2]

Re: Oops I broke the laws of math.

If x is any number =/= 0,

x ^ 0 = 1

Explain please.

fixed, because you just can't divide by 0.

x² x x² = x^(2+2) = x^4
x² / x² = x^(2-2) = x^0
so, x^0 = x / x, it's like dividing x by itself, or just 1.

[bLasTamos]

Re: Oops I broke the laws of math.

lim (n→∞) 1/n = 0 =>
0.000...1 = 0

What the ****?

[Ghakimx]

Re: Oops I broke the laws of math.

But can I say that 1 = 2?

0 x 1 = 0
0 x 2 = 0

Thus

0 x 1 = 0 x 2

and then

0/0 x 1 = 0/0 x 2

so finally

1 = 2

[bLasTamos]

Re: Oops I broke the laws of math.

No, you just can't rearrange infinite series that don't conditionally converge because you can make it equal whatever you want (not to mention divergent series).

Proof 4 converges. All terms are 0.
But yeah whatever. The only reason you can't rearrange them is because they are already infinite and it doesn't make sense.

[leonid]

Re: Oops I broke the laws of math.

@hakim: You just divided by zero

[PhaeL v2]

Re: Oops I broke the laws of math.

But can I say that 1 = 2?

0 x 1 = 0
0 x 2 = 0

Thus

0 x 1 = 0 x 2

and then

0/0 x 1 = 0/0 x 2

so finally

1 = 2

Well, I think if you eliminate the 0's (in case, 0/0), you eliminate the whole line. Or in a different point of view:

Priorizing multiplication, instead of division, using parentheses, you have 0 / (0 x 1) = 0 / (0 x 2),

then, 0 / 0 = 0 / 0

but you can just ignore the parentheses using and priorize the multiplication, it will be right anyway. That's why I think if you eliminate the 0 division, you eliminate the whole line.

[MrRubix]

Re: Oops I broke the laws of math.

0.000...1 = 0

[bLasTamos]

Re: Oops I broke the laws of math.

ahahahaha
yeah
now THAT was mind blowing.

[bluguerrilla]

Re: Oops I broke the laws of math.

Proof 4 converges. All terms are 0.
But yeah whatever. The only reason you can't rearrange them is because they are already infinite and it doesn't make sense.

The problem is he takes an absolutely convergent series and changes into a conditionally convergent series, which cannot be rearranged without changing the outcome of the series (to whatever you want :P).

And I meant to say absolutely in my above post, sry.

[stargroup]

Re: Oops I broke the laws of math.

But can I say that 1 = 2?

0 x 1 = 0
0 x 2 = 0

Thus

0 x 1 = 0 x 2

and then

0/0 x 1 = 0/0 x 2

so finally

1 = 2

actually, this is typically the proof used to define 0/0 as an indeterminate form

[ieatyourlvllol]

Re: Oops I broke the laws of math.

yup pretty much

0*whatever = 0 =>
0*whatever1 = 0*whatever2 =>
0 / 0 = (whatever1 / whatever2)^sqrt(1) = whatever

wala you did math

[x After Dawn x]

Re: Oops I broke the laws of math.

Mind blown yet?

No, they're all wrong. gg

[Azafreak]

Re: Oops I broke the laws of math.

Are you all in math enriched? God damn, I dont understand anything of those things and I'm ''ok'' in Math( im not in enriched)