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# L19_filled - Day 24 Lecture 19 Non-Linear Models 3 2...

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1 Day 24 Lecture 19 Non-Linear Models Preliminaries Before we get into Non-linear models there are some ideas we should cover. Idea one: If you’re told that… then This is called the ________ ____________ principal. 2 3

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2 Preliminaries, part 2 Meet Euclid, No THAT’S EUCLID, not Bob. Euclid was a an ancient Greek Mathematician and Philosohper… and the first real math teacher. He created a book called the The ____________ which features tons of wonderful geometric proofs. It’s his book where the notions of point, line, and plane are first observed. 3 2 Preliminaries, part 3 When Euclid thinks about Math he likes to pace around his circular fountain… Here are two perspectives of Euclid s pacing What directions is Euclid Facing at the moment? 4 1
3 Preliminaries, part 4 How about now? And Now? 5 3 Preliminaries, part 5 And how about now? Sometimes poor Euclid looses track of what he’s doing and goes on a tangent . 6 3

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4 Preliminaries, part 6 That was a horrible Math Pun. There are two definitions of a tangent line Classic Definition: A tangent line or tangent direction is a line that intersections a circle at one and only one point. This definition, Euclid’s, is stupid and misses the point… [pun #2] The little story about Euclid is to show off another trait of the lines, they point in the direction one is facing at the moment while traveling on the circle.
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L19_filled - Day 24 Lecture 19 Non-Linear Models 3 2...

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