/sci/ - Science & Math

Think we've got dividing and multiplying by zero wrong, lads.

It should be:

[math]a \times 0 = a[/math]
[math]a \div 0 = a[/math]

So, the exact rules for dividing and multiplying by 1.

Because:

[math]\sqrt{a^2 + b^2} = |a|\sqrt{(\frac{b}{a})^2 + 1}[/math]

Is true for everything, except 0 under our current rules for dividing and multiplying by zero, therefore either our current rules are wrong or it just doesn't work with 0.

Can /sci/ explain why I am retarded to think the former?

If:

[math]0.999... = 1[/math]

Does that mean:

[math]\frac{1000... \ - \ 1}{1000...} = 1[/math]

And does that mean:

[math]\infty - 1 = \infty[/math]

Write a function that produces a prime for every natural number.

Inputs must produce unique primes, you can't have different inputs producing the same prime number, you smart-arse.

If you can't do this you're a brainlet.

Don't have a problem with /pol/, let's be honest most of us are /pol/ anyways.

Don't have a problem with retarded bait threads, I can just ignore them and honestly I find them amusing to post myself.

Is it possible that the Riemann's hypothesis is just impossible to prove.

Can something true, in general, be impossible to prove?

[math]k^\sqrt2 = \pi[/math]

Is [math]k[/math] rational, /sci/?

Why hasn't anyone found a formula for finding the nth prime, /sci/?

Genuinely disturbs me, we've had this clearly defined set of numbers for thousands of years and nobody has found a formula for generating the nth prime.

What gives, /sci/? Is it impossible or are we as a species just too stupid to find it?