The set of all algebraic numbers forms a field.
This field contains all of the rational numbers, but it is a quadratically closed field.
Like the rationals, this field also has the same cardinality as the natural numbers, because we can specify and enumerate each of its members by a fixed number of integers from the polynomial equation that defines them. So it is a bit like the rationals, but we use potentially arbitrary numbers of integers to specify each number (polynomial coefficients + index of which root we are talking about) instead of just always two as for the rationals.
Each algebraic number also has a degree associated to it, i.e. the degree of the polynomial used to define it.
This is quite mind blowing. The laws of physics actually differentiate between particles and antiparticles moving in opposite directions!!!
Only the weak interaction however does it of the fundamental interactions.
Some historical remarks on Surely You're Joking, Mr. Feynman section "The 7 Percent Solution".
It gets worse of course with cP Violation.
This example shows how to use @cirosantilli/_file/webpack/webpack/sass.
To make things simple, it generates a completely separate
dist/index.js and dist/main.css which are manually included from index.html, and does not do any type of injection (neither Js into HTML nor CSS in Js).Is it the same as Zartman Ko experiment? TODO find the relevant papers.
This is a neologism by Ciro Santilli, it refers to the fact that Zatoichi was not fully blind, but extremely hard of sight, which makes him:and metaphorically refers to similar situations where a person or group of people are in the middle of two groups and not part of either of them.
- too capable for the blind people, who did not trust him
- too incapable for non-blind people, who despised him
A related thing that comes to mind is Aum Shinrikyo's Prophet Shoko Asahara, who was semi blind, and would bully the fully blind people of his school for blind people.
This is a way to host a server that actually hide the IP of the server from the client, just like Tor hides the IP of the client from the server. Amazing tecnology!
This is why it enables hosting illegal things like the Silk Road: law enforcement is not able find where the server is hosted, and take it down or identify the owner.
On May 19, 2020, Lazlo announced on the Bitcoin Forum at: bitcointalk.org/index.php?topic=137.msg1195Ciro Santilli remembers his father always telling him how when Ciro was small, he would try to grasp the value of money by converting it into how many pizzas he could buy. Well, at least he was not alone.
I'll pay 10,000 Bitcoins for a couple of pizzas.. like maybe 2 large ones so I have some left over for the next day. I like having left over pizza to nibble on later. You can make the pizza yourself and bring it to my house or order it for me from a delivery place, but what I'm aiming for is getting food delivered in exchange for bitcoins where I don't have to order or prepare it myself, kind of like ordering a 'breakfast platter' at a hotel or something, they just bring you something to eat and you're happy!I like things like onions, peppers, sausage, mushrooms, tomatoes, pepperoni, etc.. just standard stuff no weird fish topping or anything like that. I also like regular cheese pizzas which may be cheaper to prepare or otherwise acquire.If you're interested please let me know and we can work out a deal.
User bitcoin2paysafe then asks the fundamental practical question:and Lazslo replies:
In which country do you live?
Jacksonville, Florida
zip code 32224
United States
User ender_x then points out afterward:so it is a slightly bad deal even then!
10,000... Thats quite a bit.. you could sell those on www.bitcoinmarket.com/ for $41 USD right now..
Three days later Lazlo's asks again on the thread:and one day later he confirms that the sale was made without naming the buyer:where "jercos" is presumably the Bitcoin Forum username of the buyer. en.bitcoin.it/wiki/Jercos gives his identity as Jeremy Sturdivant.
So nobody wants to buy me pizza? Is the bitcoin amount I'm offering too low?
I just want to report that I successfully traded 10,000 bitcoins for pizzaPictures: heliacal.net/~solar/bitcoin/pizza/Thanks jercos!
www.thesun.co.uk/news/15049566/other-bitcoin-pizza-jeremy-sturdivant-fortune-hanyecz/ mentions Jeremy sold too early however:
The cryptocash disappeared when Sturdivant used it to "cover expenses" while travelling the US with his girlfriend.
Laszlo's Papa's Specialty pizzas
. Source. The most famous of Laszlo's pizzas, originally published on his website: web.archive.org/web/20210217220810/http://heliacal.net/~solar/bitcoin/lightning-pizza/.
Laszlo's secondary pizza event
. Source. web.archive.org/web/20210217220810/http://heliacal.net/~solar/bitcoin/lightning-pizza/ documents another pizza event, as we have different pizza boxes from the most widely known one: web.archive.org/web/20211219130004/http://heliacal.net/~solar/bitcoin/pizza/ Only image thumbs are archived however. web.archive.org/web/20211016070745/https://www.thesun.co.uk/news/15049566/other-bitcoin-pizza-jeremy-sturdivant-fortune-hanyecz/ however shows a large version that The Sun got their hands on before the takedown.
heliacal.net is presumably his personal website? But is was down as of 2023. But we have Wayback Machine archives of course :-) Latest working one of that page 2021: web.archive.org/web/20211219130004/http://heliacal.net/~solar/bitcoin/pizza/ And some other stalking:Laszlo is truly, literally, the nerd who got very very very lucky!!!
- web.archive.org/web/20090812075412/http://heliacal.net/pmwiki
Welcome to heliacal.net. This is the personal site of Laszlo Hanyecz. It's a place to hold various things I have an interest in or am working on.
- web.archive.org/web/20091031044500/http://heliacal.net/pmwiki/Main/Cats he's a mega cat owner
- At web.archive.org/web/20091031044606/http://heliacal.net/pmwiki/Main/Jackie we get to stalk his wife a bit:
On March 10, 2007 I became the husband of the most wonderful woman in the world. We live in a nice house in Jacksonville, FL next to the University of North Florida.
- web.archive.org/web/20030805153714/http://heliacal.net/~solar/ that home has some files, partly early piracy
TODO Who bought Laszlo Hanyecz pizza?!!!
On June 12, 2010 Laszlo re-offers:and on August 4 user MoonShadow takes him up:but finally Laszlo withdrawls the offer:so we understand that the sales happened multiple times!!! Also, we understand that he was probably a miner.
This is an open offer by the way.. I will trade 10,000 BTC for 2 of these pizzas any time as long as I have the funds (I usually have plenty). If anyone is interested please let me know. The exchange is favorable for anyone who does it because the 2 pizzas are only about 25 dollars total, maybe 30 if you give the guy a nice tip. If you get me the upgraded extra large ones or something, I can throw in some more bitcoins, just let me know and we'll work something out.My 1 year old daughter really enjoys pizza too! She just smears it all over her face if you give her a whole slice, but she does eventually manage to get most of it in her mouth (minus a few loose toppings of course).
An open offer, you say? It's been a while since you had some pizza. Feeling a craving, Laszlo?
Well I didn't expect this to be so popular but I can't really afford to keep doing it since I can't generate thousands of coins a day anymore. Thanks to everyone who bought me pizza already but I'm kind of holding off on doing any more of these for now.
TODO list all of the potential sales.
Bibliography:
The majority likely comes from physics:
The algorithmic trick that solves Rubik's Cubes and breaks ciphers by polylog (2022)
Source. The guy who coded the initial version of BackRub, the first version of Google Search, but left before the company formed. TODO how did he meet Largey Brage? Why did he leave Google?
In 1997 he cofounded eGroups, a mailing list management website, together with the mysterious Carl Victor Page, Jr., Larry Page's older brother. eGroups was sold to Yahoo! in 2000 for $432m, just before the Dot-com bubble burst.
As of 2021 his net worth was of "only" $1b, even though his original Google shares would have been worth $13b. He must have sold too much too early to do other cool stuff. archive.ph/IgkMI:Did Largey give him this nice deal as a way to thank him for helping start the company, or was it just that they had no big hopes and $800 seemed right? youtu.be/pmXDtTD6vQY?t=146 suggests the stocks were part of his compensation for 3 months of coding work. Also mentioned at: nypost.com/2021/08/20/google-founder-created-revenge-site-against-estranged-wife
When Mr. Page and Mr. Brin founded Google in 1998, Mr. Hassan bought 160,000 shares for $800. When Google went public in 2004, the shares were worth more than $200 million. The shares, now in Google’s parent company, Alphabet, would be valued at more than $13 billion today [2021].
In 2001, Scott married a Vietnamese chick called Allison Huynh from university and they had three children.
In 2014 Hassan asked for a divorce, and the proceedings were a shitshow, lasting more than 7 years.
In 2004 he tried strike a $20 million[ref] post-nuptial after Google went public, which she declined, so things were already crappy back then.
Then, during the divorce, Scott even created a revenge website for her as well. He's so petty! Down as of 2024 of course. There are only some weird redirect archives now: web.archive.org/web/20210915000000*/https://allisonhuynh.com redirecting to sites.google.com/view/allisonhuynhcom
The divorce is covered in several major outlets:
- www.dailymail.co.uk/news/article-9912929/Billionaire-investor-helped-launch-Google-accused-divorce-terrorism-bitter-break-up.html
- www.nytimes.com/2021/08/20/technology/Scott-Hassan-Allison-Huynh-divorce.html
- www.cnbctv18.com/technology/who-is-scott-hassan-the-google-founder-accused-of-divorce-terrorism-10543641.htm
- www.forbes.com/sites/jilliandonfro/2020/02/28/suitable-technologies-bankruptcy-filing-scott-hassan-allison-huynh/
To be fair, he did work on a lot of cool stuff after BackRub for which he deserves credit, not the least the company that created the Robot Operating System, which is a cool sounding open source project, which is awesome. But this divorce story is so damning! He should just own up to it, split the cash, and move on... The fact that the Google money came from an investment before marriage likely complicates things.
The fact that he does not have a Wikipedia page as of 2022 is mind blowing, especially after divorce details. Maybe Ciro Santilli will create it one day. Just no patience now. OK, done it June 2022: en.wikipedia.org/wiki/Scott_Hassan let's see if it lasts. The page lasted but ended up being Ciro Santilli's first edit war, how exciting:
- December 2022: an anonymous user with IP from California removed divorce details and google share ownership details, both of which had a New York Times source: www.nytimes.com/2021/08/20/technology/Scott-Hassan-Allison-Huynh-divorce.html. Discussion at: en.wikipedia.org/wiki/Talk:Scott_Hassan#Divorce_details_removed_as_%22poorly_sourced_material%22_by_anonymous_user_even_though_they_had_a_source_from_the_New_York_Times It feels exactly like the type of thing Scott would have done himself. And he possibly inadvertently exposed his real IP in doing so: 24.6.226.102. It is pingable, but Nmap analysis shows nothing of interest.
- June 2024: another partial revert removing the juicy divorce details by user named "ReversingWrongs". The username choice so incredibly cute and naive it makes Ciro wonder if this is from some woman that loves him (mother, child, new partner?) rather than just a Hassan sockpuppet. OK, perhaps with en.wikipedia.org/wiki/Wikipedia:Biographies_of_living_persons#People_who_are_relatively_unknown the divorce has to be left out? It's always impossible to decide with those wikipedia things. What you can say, is not necessarily what people want to read about, even when it is incredibly well source.
Looking a the history, he just kept revealing different IPs and continuously reverting, which other people put back in. Another of his IPs:There is also an interesting edit from 2600:1700:5470:5c50:7566:9580:1b60:ab41 which mentions without source the little known factso it could be Hassan adding some actually good and interesting information to the article. That one however also has an edit to en.wikipedia.org/wiki/Ernest_Nagel so maybe it's not him.
- 24.234.111.66 is marked as being from Las Vegas online.
after working at Washington University's Medical Libraries Group (having been recruited out of SUNY Buffalo for the summer).
Screenshot of allisonhuynh.com by the Daily Mail
. Source. Elements of a Lie algebra can (should!) be seen a continuous analogue to the generating set of a group in finite groups.
For continuous groups however, we can't have a finite generating set in the strict sense, as a finite set won't ever cover every possible point.
But the generator of a Lie algebra can be finite.
And just like in finite groups, where you can specify the full group by specifying only the relationships between generating elements, in the Lie algebra you can almost specify the full group by specifying the relationships between the elements of a generator of the Lie algebra.
This "specification of a relation" is done by defining the Lie bracket.
The reason why the algebra works out well for continuous stuff is that by definition an algebra over a field is a vector space with some extra structure, and we know very well how to make infinitesimal elements in a vector space: just multiply its vectors by a constant that cana be arbitrarily small.
Instrumentation basically means adding loggers/print statements to certain points of interest of your hardware/software.
Instrumentation tends to slow execution down a bit, but way less than emulation.
The downside is that if the instrumentation does not provide you the data you need to debug, there's not much you can do, you will need to modify it, i.e. you don't get full visibility from instrumention.
This is unlike emulation that provides full observability.
webpack/template contains a reasonable starter template.
This will produce, under
dist/ the following minimized files:dist/index.html: from webpack/template/index.html. You can open it to see:show on the browser. This was added from JavaScript.Hello webpackdist/index.js: from webpack/template/index.js and anything in its import tree, e.g.:- webpack/template/main.scss: sass source. It gets embedded the the JavaScript output as a string, and the JavaScript then applies it to the page, making the font blue
lodashthird party library
You can also run this test with the development server on localhost:9000:which uses unminimized outptus, and automatically push reloads the page whenever you change any of the input files!
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