March 6th, 2005

beartato phd

(no subject)

Man, if only there were a nice analytic functional operator Δx that satisfied the recurrence

Δx(k + xf) = k2 + xΔx(f)

(assuming f is a formal power series over x) then I could express the generating function for the number of AVL trees of height n by (omitting all the subscript xs for brevity)

f = x(Δf + Δ((1+x)f) + Δ((1-x)f))

It's also too bad Δ doesn't seem to be linear or homomorphic on products or anything else nice like that.
beartato phd

(no subject)

Watched "The Andromeda Strain" with the generalists. A very interesting movie! The featurette interview with Michael Crichton was also interesting, just in hearing the story of someone who "gave up on" (his passion of) writing as a day job, since he figured he probably couldn't be among the few that managed to make a living off of it, pursued a medical career, and wound up being a professional writer anyway.

Also today is five-month guitarriversary. Not much extremely visible progress in the last month again. I think I'm still getting slowly better on scales and faster on chord movement in general. I'm still struggling with this Bm/F# (220202) that I want so badly to be able to play in the standard sort of G-Bm/F#-Em transition pattern to get from the I chord to the vi chord. I can certainly play it comfortably given enough time to make sure my fingers are all crowded into the right spot, but I can't reliably hit it in time. As for scales, I'm definitely better now at stretching either up or down from the "home row" of whatever four frets' position I happen to be in. My right hand is making slow but definite improvement at maintaining i-m alternation in the face of long-standing piano mental habits of thinking "different finger = different note" and, conversely, "same finger = same note". Not really any new songs except for a passing attempt at "Nature Boy". I'm playing a lot more of "I Will" lately to practice the G-Bm/F#-Em thing.