11/21/2007, 08:14 AM

jaydfox Wrote:

Argh, I made a math error. Two, in fact. The first is that I subtracted -1 from 1 and got 0, when I should have gotten 2:

Second, I incorrectly expanded an exponentiation. I didn't have paper and pencil handy to calculate, so I used Excel to get the answer by approximation. But I was subtracting the wrong set of numbers and got the wrong coefficient:

Okay, so, just to be clear, if w is a small number going to 0, then:

Fortunately, this doesn't affect my initial derivation too badly:

So I'm off by a constant factor, and I wasn't calculating the constant term anyway. So my initial result still holds.

~ Jay Daniel Fox