I am offcially really confused. Okay, so I haven't done so well in math this semester. And by havn't done well, I mean that I've slept through every class, because I've already taken multivar, and I'm just generaly a bad kid, so I'm was getting B. Near the end of the semster, I didn't do the homework quite as frequently as I should have. Then
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The reason the slope is steepest in the direction of the gradient is that you dot the gradient with the unit vector in the direction you're traveling to get the change. When you dot a vector with itself, the angle theta between the vector and itself is 0 and thus the the cosine is 1. Using A dot B = |A||B|cos(theta), we know that the dot product (or change) is a maximum when cos(theta) is a maximum, thus when theta = 0 or the vectors have the same direction.
I wish we'd had that one.
I was definitely hoping to go to training while I'm home. I think Casey might come too. It will be very cool not to be the only alum there!
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you rock, bryan
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Also, I think that's a good math problem. I ended up getting a very high B+ on my final (almost A-) and a B+ in the class.
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