hi all. some extended wallowing in self appraisal/ reflection to begin with in this installment. last months installment of collatz had a big highlight, at least wrt this blogs history. as has been stated in various places, & trying not to state the obvious here, part of the idea of this blog was to try to build up an audience… aka communication which (to nearly state the almost-canard) is well known to be a “two way street!” there are all kinds of audiences on the spectrum of passive to active, and in cyberspace those in the former camp are also long known semi-(un?)-affectionately as lurkers.
must admit do have some “blog envy” of some other bloggers and how active their audiences are wrt commenting. one that comes to mind is scott aaronson. wow! thought something like a fraction of that level would be achievable for this blog but now in its 5th year, and candidly/ honestly, it just aint really happening. have lots of very good rationalizations/ justifications/ excuses for that too. ofc it would help to have some breakthrough to post on the blog and drive traffic here through a viral media frenzy… as the beautiful women sometimes say, dream on… ah, so that just aint really happening either. 😐
however, there was a highlight from last month, for this blog something like a breakthrough, but also, as you might realize the subtext on reading further, with some major leeway on where the bar is set (cyber lambada anyone?). got an anonymous, openminded, even almost/ verging )( on encouraging comment from someone who wrote perceptively and clearly had a pretty good rough idea of what was going on in that significantly complicated collatz analysis blog post as if reading substantial part of it and comprehending it, and getting to some of the crux/ gist of ideas/ approach here. nice! 😎
(alas, full “open kimono”/ self-esteem challenging disclosure… admittedly that is a very rare event on this blog, and despite immediate encouragement and my marginal/ long gradually increasing desperation now verging on
anonymous has so far not returned. this overall predicament is something of a nagging
failure gap/ regret/ ongoing challenge wrt the original idealism/ enthusiasm/ conception of this blog. which reminds me, also, long ago there was an incisive/ discouraging/ naysaying/ cutting/ near-hostile/ unforgettable comment, and may get to “highlighting” that one too eventually as part of the overall yin/ yang balance etc after changing circumstances and/ or building up enough courage wrt my cyber-ego, long keeping in mind that other quirky aphorism, success is the best revenge…) 😈
anyway here is the comment again, suitably highlighted/ framed/ treasured forever at the top of this blog:
What is a “glide” and how is it related to the trajectory length? Have you defined it somewhere earlier? What are your input variables for the model? What’s the reason to believe that even if you have a good predictor for your “glide” it helps to prove the conjecture?