Just had to :w00t:
I remember an episode of The Simpsons, where a mathematic geek received no attention of his fellow peers, so he shouted: PI IS EXACTLY THREE!
I just couldn't help laughing
OK, over to my recent low-leveled mathematics-discovery, regarding whether i is not equal to 1, -1 nor anything like that.
I first wrote this, to ensure I understood the principle:
9^0.5 = 3
9^0.5*9 = 3*9
27 = 27 //orly?
27^(1/3) = 3 //just to get back to start, if you care to.
Now, as an example of somewhat not so flawless thinking:
i^4 = 1
1^0.25 = i
(1^0.25)*1*1*1 = (i*1*1*1) //here's the issue
1 = i
I didn't even get here earlier, I was trapped in my own confusing thinking, though when I ended up here - I saw the flaw at once..
Edit: ok, the issue is the formula I've used here (cba to make it visual atm) - which only works for real, positive numbers.
I remember an episode of The Simpsons, where a mathematic geek received no attention of his fellow peers, so he shouted: PI IS EXACTLY THREE!
I just couldn't help laughing
OK, over to my recent low-leveled mathematics-discovery, regarding whether i is not equal to 1, -1 nor anything like that.
I first wrote this, to ensure I understood the principle:
9^0.5 = 3
9^0.5*9 = 3*9
27 = 27 //orly?
27^(1/3) = 3 //just to get back to start, if you care to.
Now, as an example of somewhat not so flawless thinking:
i^4 = 1
1^0.25 = i
(1^0.25)*1*1*1 = (i*1*1*1) //here's the issue
1 = i
I didn't even get here earlier, I was trapped in my own confusing thinking, though when I ended up here - I saw the flaw at once..
Edit: ok, the issue is the formula I've used here (cba to make it visual atm) - which only works for real, positive numbers.
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