/sci/ - Science & Math

[Anonymous No.2509449]

Prove <span class="math">0^0=1[/spoiler]

[Anonymous No.2509450]

It doesn't?

[Anonymous No.2509454]

>>2509450
Then prove <span class="math">0^0=0[/spoiler]

[Anonymous No.2509457]

The burden of proof is upon you, my friend, you make the conjecture.

[Anonymous No.2509460]

>>2509454
>>2509449
0^0 = 0^1/0^1, which is indeterminate form. Indeterminate form is neither 1 nor 0.
>It has no meaning.

[Anonymous No.2509462]

>>2509454
It doesn't?
0^0 is undefined, moron.

[Anonymous No.2509466]

I'm fucking sick of 0 being treated as anything but a placeholder. Seriously, what good has ever come out of treating it as an actual value? It's just used for trolling.

[Anonymous No.2509475]

>>2509466
It's hilarious, because there even is no concept of 0. Nothing with physical properties in the entire set universe has something with the property 0.
Sure there are things with lim n->infinity 1/n properties, but not absolute 0.

[Anonymous No.2509484]

>>2509475
Are you retarded?

[Anonymous No.2509486]

>>2509475
>implying this isn't true of the majority of mathematical constructs

[Anonymous No.2509491]

>>2509475
what is the kinetic energy of an object at rest in a reference frame of an observer on the same celestial planet?

[Anonymous No.2509510]

It can't be defined for 0, because you can't divide by 0. However, you can prove powers of 0 with any other number.

2^1 = 2*1 = 2
2 / 2 = 2^1 / 2^1 (<--- property of exponents)
2 / 2 = 2^0
1 = 2^0

[Anonymous No.2509513]

>>2509491
all objects have kinetic energy, absolute zero is unreachable.

[Anonymous No.2509515]

>>2509491
Something close to zero, but due to quantum fluctuation, it isn't zero.

[Anonymous No.2509517]

you can't prove something that is not true

[Anonymous No.2509530]

<div class="math"> \lim_{x\to0} x^x = \lim_{x\to0} e^{x \ln x} = e^{\lim_{x\to 0} x log x} = e^0 = 1 </div>

[Anonymous No.2509532]

>>2509491

On a macroscopic level, zero. On a molecular level, however the atoms move in the lattice (if it's a solid) or in the composition due to the effect of the heat in the room. This is a non-zero kinetic energy.

[Anonymous No.2509538]

>>2509530
It's funny because log0 is undefined.

[Anonymous No.2509544]

>>2509538

But what is 0*undefined?
0^-1/undefined=1?
I'm not sure if that's correct, because I am taking undefined to be infinity.

[Anonymous No.2509547]

>>2509544

"zero" times "infinite" does not equal zero.

[Anonymous No.2509549]

>>2509547

But what is 0*log(0)?

[Anonymous No.2509551]

>>2509544
>taking undefined to be infinity

but infinity is defined, how can undefined be defined?

[Anonymous No.2509561]

x^0=1
x=0
0^0=1

check and mate, atheists

[Anonymous No.2509728]

>>2509549
l'Hospital
0*log(0) = lim_(x appr 0) x log(x) = lim_(x appr 0) x ln(x)
= lim_(x appr 0) 1 * 1/x = \infty

[Anonymous No.2509733]

You can't know the true nature of 0^0 because it changes the moment we observe it.

[Anonymous No.2509737]

>>2509733

>Applying the Uncertainty Principle to Mathematics.

Dude you just went full quantum retard.

[Anonymous No.2509745]

where's the maths guise?

[Anonymous No.2509752]

>>2509449

If you have zero, zero times, how many is that? One. Learn to proofs fucking children

[Anonymous No.2509753]

>>2509752
2/10

[Anonymous No.2509755]

>>2509475
i have 0 dollars you lose

[Anonymous No.2509761]

>>2509733
No, you can know what 0^0 is if you don't know what you're looking for. But you can only ask the question "What is 0^0?" or know the answer. Not both.

[Anonymous No.2509762]

>>2509761
I apologize for the inconvenience.

[Anonymous No.2509764]

>>2509753

0/10

[Anonymous No.2509776]

>>2509755

But monetary value is a secondary resource, so zero dollars is nothing but a scalar.