> This is basic and obvious math. Yes. But only once you prove that these are in fact space-spanning basis functions. Does slapping the world 'basis' magicall

> This is basic and obvious math. Yes. But only once you prove that these are in fact space-spanning basis functions. Does slapping the world 'basis' magically make results obvious and interesting? Why? Because the word 'basis' carries some of that abstract-mathematics cachet?