631
General Discussion / Re: Mathematics Help Thread
« on: September 13, 2013, 09:48:58 pm »
I think I might be getting it now.
So basically we say that the limit of X as it approaches A, is L. However it's not enough to just say this, we also need to be able to prove it to the gods of mathematics. To do this we make our case by creating two variables, Epsilon and Delta, which are defined by their distance from L and A respectively. Since L acts as a reference point in terms of A, we can use it to set Epsilon and Delta in the same... err, (my command of standard mathematical language is failing me here) logic space? Which allows us to equate the two together, and form a function of Delta which should hold true for any distance from A, within certain possible limitations of distance.
And I guess if it's not a true limit, it wouldn't work out then?
So basically we say that the limit of X as it approaches A, is L. However it's not enough to just say this, we also need to be able to prove it to the gods of mathematics. To do this we make our case by creating two variables, Epsilon and Delta, which are defined by their distance from L and A respectively. Since L acts as a reference point in terms of A, we can use it to set Epsilon and Delta in the same... err, (my command of standard mathematical language is failing me here) logic space? Which allows us to equate the two together, and form a function of Delta which should hold true for any distance from A, within certain possible limitations of distance.
And I guess if it's not a true limit, it wouldn't work out then?

