Some things are progressing… some are not.
I had thought that I could write up a group theory post on semi-direct products for this Monday… while they are not too difficult to describe, I want some examples to play with… and, sad to say, the examples require more familiarity than I have. On the one hand, this is a good thing: I have identified something else I need to understand in group theory. On the other hand, the post about semi-direct products will have to wait.
I had thought that I could write up a simple post showing how the parameters of a sampled sine curve could be identified from its DFT (discrete Fourier transform). It really is pretty simple – except for one thing, the phase.
I’m sure that once I understand it… actually, by my very definition of understanding… the phase will seem simple. It turns out that I’m very close to figuring it out, I think. (I worked on it this morning, before this post… in fact, before my stream-of-consciousness… and, I haven’t turned the kid loose yet.)
It posed an interesting conundrum. Should I put the post out before I figure out the phase? Or should I wait until I understand that, too?
Well, if I really want this blog to be about the doing of mathematics rather than just the done of mathematics, then it makes sense to post something I only partially understand yet.
On the other hand, it seems silly to post it if a few more minutes will clear something up in my mind.
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