I’ve split this video into two parts as otherwise it’s about 20 minutes long.
This follows a single, simple, problem, but gradually increases the resolution of our measurements so that it moves from a vector and inner product problem, to a function and integral problem. It’s so long because I repeat the calculations several times in detail. I wanted to make the transition from a discrete to a continuous distribution as clear as possible.
I haven’t prepared next week’s video yet, so I’m not sure if it will be ready in time. The next video will address operators on continuous functions. We should quickly find ourselves plummeting down the quantum mechanics rabbit hole at that point, as things start to get seriously weird.