Thursday, October 31, 2019

Recent Navel Gazing From the Week



1)  One tweet catching my interest recently was this one pertaining to prime numbers:

Anyone out there know if this is an original observation, or is it something that has been known and explored previously? Or, is it perhaps something that is actually in some way obvious within number theory that I’m just not familiar with?

2)  Have mentioned this sort of thing in the distant past… one of our local radio stations plays 60’s/70’s pop hits all day (MY kinda music ;) and am always amazed at how, when I’m spinning the dial in the car, I can catch just 2-3 notes of an old hit and know immediately what it is (and who sang it)! It seems an incredible feat, yet easily and automatically done — and I imagine there’s even some mathematics involved, given all the different note combinations that are possible, and all that have been heard over a lifetime, yet with the notes, instruments, cadence, rhythm, etc. a single song can be recognized so quickly.
Anyway, anyone know of research papers/work that have looked at this specific identification of musical pieces from a few individual notes?; not general papers about memory for long ago events or auditory patterns, but specifically pertaining to musical notes? Surely, somewhere in cognitive psychology this has been studied? I'd be curious.

3)  On Twitter, Jeet Heer linked to this piece reviewing what professions are sending the most contributions to major Democratic presidential candidates. The surprising bit (or at least one of them), if you scroll down toward the bottom, is Elizabeth Warren getting her strongest support from… drumrrrroll... mathematicians (29% of them)!
Meanwhile, Andrew Yang’s strongest support came from “Pizza delivery drivers,” 18% of whom back him, and on a side-note, 54.8% of fork-lift operators support Bernie Sanders.
(…not sure I believe any of these figures, but 'tis the season ;)

4)  Just this morning Keith Devlin offers up thoughts to chew on regarding math education in our "wicked world":
https://sumop.org/2019/10/31/teaching-math-for-life-in-a-wicked-world/

5)  And lastly, another favorite tweet from the week:





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