Category Archives: collatz

collatz standing on shoulders of giants (not!)

RJL has a nice new blog that cites collatz/ Taos recent work on it. wrote a comment on it and it led to a negligible # of hits. lol!

(uh oh!) wordpress has a new editor. always run into funky quirks in the past, some of them nearly showstoppers eg incorrectly handling escaping of code blocks thereby screwing them up/ aka corrupting them every time saved. but maybe this one will be slightly better. you cannot imagine how many times have edited posts, saved them, then had to scroll back to the point where was previously editing. omg, who the @#%& asked for that? what an unbelievably tedious “feature” that shouldnt have gotten past UAT even one nanosecond and yet was default functionality for years, lol! (argh already found a code-set shortcut doesnt work, sigh) oh and it only took me about 30m to figure out how to insert the excerpt indicator… thanks guys! and it took yet more “fiddling” to find the rearranged controls for image embedding. welcome to 2020 the age of ubiquitous smartphones and endless fiddling, lol! Nero would be happy! also the idea of going back to old blogs to edit them, esp long ones, and trusting wordpress to “do the right thing” is a bit terrifying right now. welcome to modern software which is that weird mix of both extremely powerful and extremely fragile at the same time… o_O

Continue reading

collatz histogram discrepancy

based on 3mo 90d span, summer ⅔ over, it always goes in a blink. its like a colorful butterfly, bright, energetic, shortlived. have been telling people its like the Lost Summer this year. but as the infections continue to stretch out (two bigger states TX, FL esp feeling the pain), its almost turning into the Lost Year. the word unrelenting comes to mind as well as this old evocative analogy surveyed by RJL, 2009. but, as the japanese say, fortune and misfortune are like a rope twisted, or, the reverse side has a reverse side, so is that a con or a pro? coincidentally “unrelenting” is the kind of spirit/ discipline reqd to solve problems with world-class difficulty…

this is a quick take on the histogram discrepancy idea and already have new ideas, but its worth recording. my initial idea was to try to find expected values/ curves for histogram discrepancy of ½ density iterates. however, that is not a straightfwd undertaking, its maybe even a little daunting. theres not really a straight line, theres some curve, and curve fitting while very commonplace is still timeconsuming, and the other trickiness is that the curve would vary over iterate sizes. construct146 from last month show this a clear/ nonnoisy/ but shifting/ nonlinear/ nontrivial trend.

Continue reading

collatz trials+tribulations

😎 ⭐ ❗ 😮 hi all. some rare, living on the edge, near-liveblogging this time around. am delighted to report, now typing this on a brand new chromebook, my 1st ever after eyeing them for years, just bought about 90m ago, my mask just taken off is probably still a little warm! this is a sort of modern miracle of technology. the netbook lives! scifi realized in my lifetime. it only took about 2 decades. or maybe ~1½. the latter is roughly how long google has been working on the software/ hardware; google apps predates chromebooks by maybe ½ decade? however the phrase probably originated in the mid to early 1990s from legendary Suns Gage hence now a sprawling 2½+ decade undertaking/ saga; dating it to the origins of the internet puts it at over ½ century of work!

so “standing on the shoulders of giants” in the 20th century, google is an amazing, astonishing company at times. and yes, think minimalist building an entire computer almost from software backwards, ie the browser, is an engineering genius masterpiece, and quite radically upside down in many ways vs prior history of PCs + Windows even Unix yet utterly inspired, brilliant. a complete rethink, a work of art,™ a thing of beauty.™ the extraordinary mounting share of chromebooks over the years and its now strong inroads into entire market segments eg schools attests to this. why buy one? its a little bit of a long story. so to speak. it will take me a little bit to unroll it all. feeling more than a little amped up/ excited right now! there are several headspinning elements going on all at once… (the box has the words in search of incredible on it outside/ inside…)

  • the model is an asus cx22NA. the list price of this machine is already remarkable at $200. it was only an extraordinary $140 at microcenter discounted $60, ie knockout 30% discount, what might be called dirt cheap. this is currently $50 less than best buy which has now been open only 1mo since shutdown. anyway my local best buy was sold out of the machines at the higher price! very strangely, asus does not currently list this model on their own web site! the wonders of modern supply chains/ merchandising systems never cease to amaze/ baffle me.
  • hooked up a microsoft USB wireless mouse/ receiver without any trouble. ran so fast without any setup screen/ msg, am not even sure the machine downloaded a driver…? plugged it in after the machine setup sequence but wondering if it might have worked even at beginning? for someone who used to sweat bullets trying to install linux on windows machines even in the mid 1990s with (early) device drivers one of the biggest grating achilles heels of linux, feel this is another extraordinary feat of modern technology/ cyber age…
  • ⭐ ⭐ ⭐ 💡 ❗ 😮 😎 grand finale magic trick viola— it has linux nearly built in! just bring up “chrome app switcher” and type terminal. it downloads quickly, for me within minutes. it seems to use about ~1.3GB (acc to “storage management/ linux beta” section on the settings screen). this apparently uses amazing new linux/ VM technology called crostini/termina running debian (stretch). it was announced ~summer 2019. although it showed up in new versions as early as late 2018 or even earlier in the summer of 2018 but was maybe not very supported/ widespread. my idea was to buy the cheapest chromebook and see if linux worked on it either recipe for disaster, or success! honestly this is nearly more than 80% of my motivation on this impulse buy and am kicking myself a bit for not trying this cool feature sooner! but yes, its cutting edge stuff conspicuously marked BETA. so “at my age” still living a bit on the wild side.

Continue reading

collatz still standing!

hi all. some crazy events over the last 3mos, ~¼ yr, to put it lightly, both on a personal and larger “global” scale here literally in the sense of “affecting the whole globe”. the prior blog talked about “soul crushing moments/ life events” and invoked nietzsches raw aphorism, “that which does not destroy me makes me stronger”. that concept has a ragged truth to it, somewhat like darwinism. we are in the midst of a mass darwinian event playing out. the last blog talked about paradigm shifts on a personal level. it appears my personal life has aligned in a very weird/ momentous way with the larger scheme of things, the social milieu, the larger universe.

so many ideas circling, crashing around in my head the last few months. have a lot to write about. want to write about coronavirus, have so many ideas/ links on that, and my personal “brush” with it so to speak. may do so. and the news about Conway? devastating! hes a massive personal hero in my pantheon, and many others too. deserves an entire blog here. theres enough news in the last few months personal+global for ½ dozen blogs. and me, normally loquatious, have taken the opposite tact. gone dark.

a lot to think about/ deal with. am dealing with some very heavy feelings/ situation(s). among many other things, am frustrated about the lack of tangible engagement in my audience, ie commenting. 7 years and not a lot to show for it along those lines. sometimes wonder if no trolls are better than 1 troll, lol! as a contrast to Descartes bold/ confident declaration, am feeling darker at times, nobody comments, therefore I do not exist…

amidst the noise of crashing worlds, after some of the dust has finally settled in my own life (more on all that later), started to think about collatz again. think its a positive sign/ sign of resilience. was in full survival mode for last few months, some desperate-feeling moments, ego blending-to-obliterating. blending as in “put in a blender on smoothie level” (highest setting… lets review: “stir (easy clean), puree (soup), chop (salsa), cream (milkshake), whip (frz drink), extract (smoothie)”).

Continue reading