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?
https://en.wikipedia.org/wiki/Wheel_theory
>>8904811
Because your mother dropped you on your head when you were young
[math] 0<n [/math] is true for everything, except 0 under our current rules for <
>>8904823
i clearly meant n^2 btw
>>8904826
>implying i^2 > 0
kys brainlet
>>8904833
it was implicit that i was talking about R
>>8904833
n usually implies an arbitrary element of the set of reals..
>>8904815
how did you get to know this?
>>8904869
n is more often a natural number or maybe an integer, not a real brainlet
>>8904874
i did my thesis on zero division
>>8904811
[math] a \times 0 = a \iff \\ a \times (a - a ) = a \iff \\ a^{-1} \times a \ (a-a) = a^{-1} \times a \iff \\ a-a = 1 \iff \\ 0 = 1 [/math]
Whoops, back to the drawing board.
>>8904840
Why? OP's example works with real and imaginary numbers.
>>8904885
If you followed the rules of PEMDAS, you would get 1 x 0 = 1, which using OP's logic gives 1 =1.
M: NxN => N
1. M(a,0) = 0
2. M(a,S(b)) = P(a,M,(a,b))
>>8904811
a * 0 = a
a * 1 = a
a * (1 + 0) = a
a * 1 + a * 0 = a
a + a = a
2a = 2
you fucked the distributivity and ton of other properties
So...
[math]
\frac{a}{a} = 1 \ or \ 0
[/math]
Doesn't make sense senpai.
>>8904918
did you actually check any example?
>>8904885
Your proof is incorrect. Faggot.
>>8905050
Just this one.
I'm sure it works for all others too.
[math]|a|\sqrt{(\frac{b}{a})^2 + 1}[/math]
how does that even work?