collatz “pseudo induction” contd, trials & tribulations of wordpress hacking/ blog code inclusion

fwd news… marzio de biasi announced in theory salon chat room an interesting 8v collatz codegolf challenge linked with 2 counter machines which have been somewhat extensively studied in the theoretical literature.

hi all, what a @#%& hassle! managed to get code snippets working on this site long ago. there are many options to do this but it seems like none of them are foolproof esp recently. its quite a long saga mentioned/ alluded in some previous posts. finally got it working long ago and have been quite happy with the results/ status quo for maybe over ~2yrs, but now wordpress has recently thrown a wrench in the works & screwed it up. ah, figured this might happen someday! code can be so fragile sometimes! heres some of the gory details.

wordpress has <pre> & <code> tags but the wordpress web editor(s) sometimes alter the code after entering it, eg zapping initial whitespace/ indentation on lines after pasting code or, esp egregious, getting confused by/ messing up html special characters, ie basically corrupting the code! also just saw this switching between “visual/ html” modes of the editor… you know, basic/ elementary stuff. recently wordpress has modified its web editor (what else, to try to improve/ streamline it of course) so that this has again become an issue (again saw it coming, they finally completely disabled the “classic” editor which is free of the issue, joy). @#%& amateurs!

oh and then theres another issue that typing in this web editor on an ipad is so utterly slow as to be unuseable, not even keeping up with keyboard typing. it must be so elegantly executing x lines of javascript per keystroke or something…?

so this post is being typed up on the wordpress ipad app, which mostly works ok, but has exactly the same issue in corrupting code snippets. it also barely supports most of the important text editing features. oh yeah and it seems to have a very significant defect in not updating correctly & making it look like post drafts have vanished or changes have been lost. sigh. did I mention, #@%&? am feeling, could almost punctuate every sentence in this blog with that! and wordpress is now how many years old? it dates at least back to the dotcom era over ~1½ decade ago…. it makes one feel like web publishing is still somewhat like a toy system…

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higher education under heavy fire from all sides, tectonic shifts underway

hi all. this post has been on the drawing board for a long time, almost since the origin of this blog. was waiting for an opportune moment.

an amazing news item came across & is the final ignominious trigger for this post. there was a teacher scandal in atlanta where they were involved in cheating on standardized tests and got caught. this is not so uncommon probably (the cheating) but what was astonishing was the investigation and response. a 2yr investigation and a very heavy/ harsh crackdown, making international/ tabloid headlines.[a18,a19] teachers were charged under *racketeering* laws and convicted of *felonies*. the sentence for some could be up to *TWENTY* years.

now am all for ethics and integrity in education and government service, but convicting school administrators under this heavy handed prosecution seems a bit outrageous and crazy to me, but yet is probably a key sign of the times (“dark zeitgeist”). :o

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another (key?) phase transition in collatz etc

the last post on collatz is getting big and a bit unwieldy. often wish there were better/ more streamlined blog editing capabilities. its a real challenge doing real science using mere blog editors. its not simple figuring out when to do new posts. figure its about time again.

big news, have not mentioned this on the blog yet (other than the sandbox scratchpad version). randomra cited previously as a collatz codegolf fan came up with and posted his own challenge “analyzing collatz like sequences” and it currently has 13v and one submission at 5v. congratulations dude! its a mini research program! :star: :cool: :D <3

the other significant news is the discovery of (yet another) phase transition, normalizing feature in collatz trajectory binary form max 0-runs, below, building on recent results looking at behavior of max 0-runs (but note those were based on the trajectory parity sequence instead; although they are clearly informally linked). overall its unexpected and striking, much like the early hamming weight/ density results (and surely closely connected, but dont have that all formalized yet). here is a very simple piece of code that analyzes this, and it looks like it could be a very big deal toward a proof to me.

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big cyber/ networked science milestones, arxiv/ NSF open access

Cover_Image :arrow: :star: :star: :star: :cool: :D <3 hi all. this blog celebrates in particular two massive/ breakthrough milestones on the way to open/ networked science, the 2nd also mentioned on at least two other elite CS blogs.

  • arXiv recently surpassed its 1 millionth preprint :!:
  • and the NSF announced a new policy that requires its grant research papers must be openly accessible on the internet after 1 year :!:

this is a big shift because it often seems that we live in Corporatocracy and corporations rule over the government. that is probably still the case but a small yet very significant dent has now been made in this Death Star, and maybe the momentum will be for most US govt/ taxpayer funded research to be required as open network access.

networked science is in the early days (not to be confused with network science with small world graphs, big data etc, although ofc some overlap), few have even heard of it or understand it much, its still somewhat indistinct and not yet easy to define or point to. the best book/ visionary on the subject is by Nielsen and so far few are commenting on this massive paradigm shift that he has identified. but to me its as big of a modern paradigm shift as Big Data or the Algorithmic Lens which are both massive themselves, and of course all these feedback into each other.

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*breakthru!* collatz codegolf adventures, stackexchange “collective intelligence” realized!

hi all. this is a fairly short update, maybe with additions later. last may, posted a challenge on collatz based on some earlier ideas documented on this blog, about iterating sequential starting trajectories in parallel, to get a monotonic decrease in the overall sum. this led to a basic conjecture asking if it was even possible. so this is both a case of a dream come true, and be careful what you wish for, you might get it!

that post sat dormant/ unanswered for ~¾ year, until recently I cited it in codegolf meta asking about codegolfers putting together a site history question/ answer (in meta). :idea:

youd think that (hardcore) site regulars would like the idea of promoting their site, but se users can be very fickle, so somewhat both against/ within expectation and despite highly visible/ successful precedents/ cases on other se sites, that idea did not get very much appreciation or traction (its currently at -2 votes) (just got deleted?!?) (@#$% doncha just luv se) :o >:(

anyway it also cited my collatz question, and it drew new votes and attention, and even two submissions! so the collective intelligence of stackexchange eventually kicked into gear, albeit belatedly.

one submission does not seem to be significant, but the other by user “randomra” submitted a rather complex solution in python that apparently succeeds in purely monotonic decreases for significant intervals. unfortunately he didnt describe his rather tricky code at all, only posted it “as is”. but the graphs looked very intriguing.

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