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Can't Think of a Breaking Bad Pun For the Title: Let's Do Some Math!

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jwhouk:
Algebra was actually easy for me. It was simple as a + b = c!

Loki:
Well, this doesn't say much. It doesn't even imply that a, b and c are elements of a group!

jwhouk:
Oh, don't get all quadratic on me.

Carl-E:
Wait, that one didn't even make any sense. 

As for the Taylor series, they're just (infinite) polynomials impersonating another function.  The basic idea is that they'll have the same value for the function and all its derivatives at a given point, so they'll look just like it.  It's a nice trick, and ... if you give me an idea where you are with them, I can put you where you need to be. 

The only real issue is the interval of convergence...

Loki:
I keep forgetting that having a math teacher on the forum has certain perks :D

I haven't had time to look at them yet. I will elaborate what we need them for later when I'm not on the run. And hey, maybe I will figure it out on my own by then.

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