Conversation

Math equations as you typically find them in texts are a lot like optimised code. Like optimised code, they evaluate faster. Like optimised code, they're less intuitive and pedagogical than a naive implementation.

For example, the matrix for rotating a 3D vector around the origin makes a lot more sense if you write it out as a set of three equations, one per axis, because that way, you can actually work out how the sines and cosines act on each other and the point as the rotation angles change.