The reason why the Distance Formula works, and how it was derived.

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This video sets the theme of the course. To solve a coupled system of evolution equations, switch to coordinates where the equations decouple. We go over an example where this is fairly simple. In general, decoupling involves the eigenvalues and eigenvectors of a matrix, which we will learn about later.

In this video, we will understand the idea of integration. The basic idea of integration was known to people since ancient times, and it was called the method of exhaustion. But this method was not a general one that could be used for everything. The technique of integration is a general method used to find…

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