The Busy beaver scale allows us to gauge the difficulty of proving certain (yet unproven!) mathematical conjectures!
To to this, people have reduced certain mathematical problems to deciding the halting problem of a specific Turing machine.
A good example is perhaps the Goldbach's conjecture. We just make a Turing machine that successively checks for each even number of it is a sum of two primes by naively looping down and trying every possible pair. Let the machine halt if the check fails. So this machine halts iff the Goldbach's conjecture is false! See also Conjecture reduction to a halting problem.
Therefore, if we were able to compute , we would be able to prove those conjectures automatically, by letting the machine run up to , and if it hadn't halted by then, we would know that it would never halt.
Of course, in practice, is generally uncomputable, so we will never know it. And furthermore, even if it were computable, it would take a lot longer than the age of the universe to compute any of it, so it would be useless.
However, philosophically speaking at least, the number of states of the equivalent Turing machine gives us a philosophical idea of the complexity of the problem.
The busy beaver scale is likely mostly useless, since we are able to prove that many non-trivial Turing machines do halt, often by reducing problems to simpler known cases. But still, it is cute.
But maybe, just maybe, reduction to Turing machine form could be useful. E.g. The Busy Beaver Challenge and other attempts to solve BB(5) have come up with large number of automated (usually parametrized up to a certain threshold) Turing machine decider programs that automatically determine if certain (often large numbers of) Turing machines run forever.
So it it not impossible that after some reduction to a standard Turing machine form, some conjecture just gets automatically brute-forced by one of the deciders, this is a path to
Their websites a bit shitty, clearly a non cohesive amalgamation of several different groups.
E.g. you have to create several separate accounts, and different regions have completely different accounts and websites.
The Europe replacement part website for example is clearly made by a third party called flex.com/ and has Flex written all over it, and the header of the home page has a slightly broken but very obviously broken CSS. And you can't create an account without a VAT number... and they confirmed by email that they don't sell to non-corporate entities without a VAT number. What a bullshit!
High level DNA studies? :-)
Quick overview at stackoverflow.com/questions/1780599/what-is-the-meaning-of-posix/31865755#31865755
Exmples under c/posix:
- c/posix/signal_return.c: stackoverflow.com/questions/37063212/where-does-signal-handler-return-back-to
- c/posix/inet/pton.c:
inet_pton
demo. Adapted fromman inet_pton
on Ubuntu 23.04. Usage:Output:./pton.out 192.187.1.42
So we see that the strings was converted to an integer, e.g.:0xc0bb012a
See also: stackoverflow.com/questions/1680622/ip-address-to-integer-c/76520978#76520978- 0xc0 = 192
- 0xbb = 187
- 0x01 = 1
- 0x2a = 42
- c/posix/inet/ntop.c:
inet_ntop
demo. Adapted fromman inet_pton
on Ubuntu 23.04. Usage:Output:./ntop.out 0x01021AA0
./ntop.out 0x01021AA0
One of the least evil of the big tech companies of the early 21st century, partly because Sergey Brin's parents fled from the Soviet Union and so he is anti censorship, although they have been tempted by it.
Google only succeeds at highly algorithmic tasks or at giving infinite storage to users to then mine their data.
It is incapable however of adding any obvious useful end user features to most of its products, most of which get terminated and cannot be relied on:
This also seems to extend to business-to-business: twitter.com/MohapatraHemant/status/1343969802080030720 ex-Googler tells how they lost the cloud to Amazon.
More mentions of that:
- world.hey.com/dhh/google-suffers-from-a-digital-petro-curse-908e919a "Google suffers from a digital petro curse" by David Heinemeier Hansson (2021), the creator of Ruby on Rails
- killedbygoogle.com/ dedicated website, source on GitHub: github.com/codyogden/killedbygoogle
Too many genius engineers. They need some dumber people like Ciro Santilli who need to write documentation to learn stuff.
Ciro Santilli actually attempted two interviews to work at Google in the early 2010's but very quickly failed both on the first phase, because you have to be a fast well trained coding machine to pass that interview.
Ciro later felt better about himself by fantasizing how he would actually do more important things outside of Google and that they would beg to buy him instead.
He was also happy that he wouldn't have to use Google crazy internal tools: someone once said that Google's tools make easy tasks middle hard, and they also make impossible tasks middle hard. TODO source.
But whatever the case: Ciro will not, ever, spend his time drilling programmer competition problems to join a company.
www.wired.com/story/google-shakes-up-its-tgif-and-ends-its-culture-of-openness/ "GOOGLE TGIF 1999 video". TGIF is the weekly all hands meeting abolished in 2019: www.wired.com/story/google-shakes-up-its-tgif-and-ends-its-culture-of-openness/
You are nothing but useless leeches in the Internet age.
You must go bankrupt all of you, ASAP.
Research paid with taxpayer money must be made available for free.
Researchers and reviewers all work for peanuts, while academic publishers get money for doing the work that an algorithm could do. OurBigBook.com.
When Ciro learned URLs such as www.nature.com/articles/181662a0 log you in automatically by IP, his mind blew! The level of institutionalization of this theft is off the charts! The institutionalization of theft is also clear from article prices, e.g. 32 dollars for a 5 page article.
Long live the Guerilla Open Access Manifesto by Aaron Swartz (2008).
Key physics papers from the 50's are still copyright encumbered as of 2020, see e.g. Lamb-Retherford experiment. Authors and reviewers got nothing for it. Something is wrong.
Infinite list of other people:
- blog.machinezoo.com/public-domain-theft by Robert Važan:
Scientific journals are perhaps one of the most damaging IP rackets. Scientists are funded by governments to do research and publish papers. Reviews of these papers are done by other publicly funded scientists. Even paper selection and formatting for publication is done by scientists. So what do journals actually do? Nearly nothing.
Course: Quantum Many-Body Physics in Condensed Matter by Luis Gregorio Dias (2020) Updated 2025-01-10 +Created 1970-01-01
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