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Originally Posted by krb102
Quote:
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Originally Posted by mreto
disagree! i think this would be quite difficult to prove! actually i don't think anybody can prove this, cause it's wrong! e^(-x*x) has no primitive but it can easily be integrated! haha! don't tell me that you don't know that e^(-x*x) integrated over the whole real axis is Sqrt(Pi)! and cause it's positive everywhere you can of course then integrate it over every intervall....
sorry, but i had to say that, cause this whole post from krb102 was so stupid!
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Give me a function, not a number. I bet you can't.
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i marked the important part of my post above. obviously you know nothing about mathematics! it can be integratrated (by calculating the square of it, using fubinis theorem twice, first time to get a 2-dimensional integral, the second time introducing polar coordinates on the plane and getting two one-dimensional integrals again), it only has no primitive, that's all (as i said above). but why am i saying this, you won't understand anyway...
you know, there's a difference between "can not be integrated" and "has no elementary-function-primitive", which only means it's not a gradient from another function (therefore i can't give you that "function").
but if you want any function (also a non-elementary one): the integral normalized at 0 is itself a solution (fundamental theorem of calculus!!), so there's your function!
if you would know a little more about math, you would know that EVERY continuous bounded function can be integrated, and your function here is obviously continuous and bounded. but only the fact that your asking for a function tells me that this goes ways beyond your knowledge!
you know, the only reason why i say all this, is cause you acted like you're super-intelligent and jon is "only a stupid rock star", otherwise i don't like talking math in my free time...
:P