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We were great mates. We didn't really go out together because we never really had the time to go out. But we were with each other all the time anyway because we were working all the time. We could sit down and talk for hours, and we still can. We just understood each other. ↗
This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on. ↗
If you just have a single problem to solve, then fine, go ahead and use a neural network. But if you want to do science and understand how to choose architectures, or how to go to a new problem, you have to understand what different architectures can and cannot do. ↗
