Intel is known to have created customized chips for very large clients.
This is mentioned e.g. at: www.theregister.com/2021/03/23/google_to_build_server_socs/Those chips are then used only in large scale server deployments of those very large clients. Google is one of them most likely, given their penchant for Google custom hardware.
Intel is known to do custom-ish cuts of Xeons for big customers.
TODO better sources.
Advanced quantum field theory lecture by Tobias Osborne (2017) Lecture 2 Updated 2025-06-02 +Created 1970-01-01
They can't even make this basic stuff just work!
CIA 2010 covert communication websites How did Alexa find the domains? Updated 2025-06-02 +Created 1970-01-01
It can't be HTML crawl because presumably there wouldn't have been links to those websites? Presumably this is why Common Crawl doesn't seem to have any hits.
The same question also applies to the 2013 DNS Census. It has less hits, but still has many.
Whatever they did, we are so so glad that they did!
CIA 2010 covert communication websites iranfootballsource.com Updated 2025-06-02 +Created 1970-01-01
Apparently only Mathieu group and Mathieu group .
www.maths.qmul.ac.uk/~pjc/pps/pps9.pdf mentions:Hmm, is that 54, or more likely 5 and 4?
The automorphism group of the extended Golay code is the 54-transitive Mathieu group . This is one of only two finite 5-transitive groups other than symmetric and alternating groups
scite.ai/reports/4-homogeneous-groups-EAKY21 quotes link.springer.com/article/10.1007%2FBF01111290 which suggests that is is also another one of the Mathieu groups, math.stackexchange.com/questions/698327/classification-of-triply-transitive-finite-groups#comment7650505_3721840 and en.wikipedia.org/wiki/Mathieu_group_M12 mentions .
math.stackexchange.com/questions/700235/is-there-an-easy-proof-for-the-classification-of-6-transitive-finite-groups says there aren't any non-boring ones.
bbchallenge.org/story#what-is-known-about-bb lists some (all?) cool examples,
- BB(15): Erdős' conjecture on powers of 2, which has some relation to Collatz conjecture
- BB(27): Goldbach's conjecture
- BB(744): Riemann hypothesis
- BB(748): independent from the Zermelo-Fraenkel axioms
- BB(7910): independent from the ZFC
wiki.bbchallenge.org/wiki/Cryptids contains a larger list. In June 2024 it was discovered that BB(6) is hard.
Cool data embedded in the Bitcoin blockchain 503: Bitcoin over capacity Updated 2025-06-02 +Created 1970-01-01
Starting tx a87d406fae047258a12923b3c11a797a5765bd8f868df5c7e9b1cead0e92c9c1: the message:appears about 13 thousand times. WTF happened?
503: Bitcoin over capacity! Cool data embedded in the Bitcoin blockchain Illegal content of block 229k Updated 2025-06-02 +Created 1970-01-01
These can be viewed at bitcoinstrings.com/blk00052.txt and are mostly commented on the "Wikileaks cablegate data" section of Hidden surprises in the Bitcoin blockchain by Ken Shirriff (2014).
Soon after block 229991 uploaded the Satoshi uploader, several interesting files were added to the blockchain using the uploader, and notably some containing content that might be illegal in certain countries, as a test to see if this type of content would make the Bitcoin blockchain illegal or not:
- tx 08654f9dc9d673b3527b48ad06ab1b199ad47b61fd54033af30c2ee975c588bd block 229999 contains a leaked private key and a link to: threatpost.com/en_us/blogs/ami-firmware-source-codAe-private-key-leaked-040513
- tx b96af3b69b48a82c5eae3e44ebb6ef93f30d7764b1d5b40243e11b0d374ac1b7 block 230001 contains the link:followed presumably by one such prime starting with:The number is quoted e.g. at: www.computerforum.com/threads/illegal-prime-number.67782/
4 85650 78965 73978 29309 84189 46942 86137 70744 20873 51357 92401 96520 73668
- tx 237783998a6799264983150187a73ab6d116f2ba78d3e1f88529e95229f59d67 block 233620 contains another illegal prime starting with:
This one is quoted in a few places online in blockchain illegality discussions:49310 83597 02850 19002 75777 67239 07649 57284
- www.reddit.com/r/Bitcoin/comments/1akyy4/comment/c8yel60 "What happens if someone inserts illegal content into the block chain?" (2013-03-19)
- news.ycombinator.com/item?id=8055243 "Filecoin – Data storage network and crypto-currency based on Bitcoin" (2014-07-18)
- tx 54e48e5f5c656b26c3bca14a8c95aa583d07ebe84dde3b7dd4a78f4e4186e713 block 230009 contains the Bitcoin white paper: bitcoin.org/bitcoin.pdf More context: bitcoin.stackexchange.com/questions/35959/how-is-the-whitepaper-decoded-from-the-blockchain-tx-with-1000x-m-of-n-multisi
- tx 691dd277dc0e90a462a3d652a1171686de49cf19067cd33c7df0392833fb986a block 230203 Cablegate index. The announced filename is
cablegate-201012041811.7z. As mentioned in Hidden surprises in the Bitcoin blockchain by Ken Shirriff (2014), it has an ASCII list of several other transactions, which presumably when downloaded with the Satoshi uploader can concatenated lead to the full 7z file. Also as mentioned by Ken, it is infinitely easier for the average user to just access the cables directly on WikiLeaks :-) The data is preceded by the message:sSEXWikileaks Cablegate Backup cablegate-201012041811.7z Download the following transactions with Satoshi Nakamoto's download tool which can be found in transaction 6c53cd987119ef797d5adccd76241247988a0a5ef783572a9972e7371c5fb0cc Free speech and free enterprise! Thank you Satoshi! - tx dde7cd8e8f073a525c16c5ee4e4a254f847b7ad6babef257231813166fbef551 block 230229 and tx 4a0088a249e9099d205fb4760c28275d4b8965ac9fd56f5ddf6771cdb0d94f38 block 230231 contain indexes of pages from The Hidden Wiki. These can be viewed at: bitcoinstrings.com/blk00052.txt. Not reproduced here because we are cowards.
So basically, this was the first obviously illegal block attempt.
None of this content is particularly eye-popping for Ciro Santilli's slightly crazy freedom of speech standards, and as of 2021, the Bitcoin blockchain likely hasn't become illegal anywhere yet due to freedom of speech concerns.
Furthermore, it is likely much easier to find much worse illegal content by browsing any uncensored Onion service search engine for 2 minutes.
Ciro Santilli estimates that perhaps the uploader didn't upload child pornography, which is basically the apex of illegality of this era, because they were afraid that their identities would one day be found.
Bibliography:
- bitcointalk.org/index.php?topic=191039.0 "WTF - Kiddy Porn in the Blockchain for life?" (2013-04-29) on the Bitcoin Forum
Some interesting usages:
This notation is so confusing! People often don't manage to explain the intuition behind it, why this is an useful notation. When you see Indian university entry exam level memorization classes about this, it makes you want to cry.
The key reason why term symbols matter are Hund's rules, which allow us to predict with some accuracy which electron configurations of those states has more energy than the other.
web.chem.ucsb.edu/~devries/chem218/Term%20symbols.pdf puts it well: electron configuration notation is not specific enough, as each such notation e.g. 1s2 2s2 2p2 contains several options of spins and z angular momentum. And those affect energy.
This is why those symbols are often used when talking about energy differences: they specify more precisely which levels you are talking about.
Basically, each term symbol appears to represent a group of possible electron configurations with a given quantum angular momentum.
We first fix the energy level by saying at which orbital each electron can be (hyperfine structure is ignored). It doesn't even have to be the ground state: we can make some electrons excited at will.
The best thing to learn this is likely to draw out all the possible configurations explicitly, and then understand what is the term symbol for each possible configuration, see e.g. term symbols for carbon ground state.
It also confusing how uppercase letters S, P and D are used, when they do not refer to orbitals s, p and d, but rather to states which have the same angular momentum as individual electrons in those states.
It is also very confusing how extremelly close it looks to spectroscopic notation!
The form of the term symbol is:
Atomic Term Symbols by TMP Chem (2015)
Source. Atomic Term Symbols by T. Daniel Crawford (2016)
Source. Bibliography:
- chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Spectroscopy/Electronic_Spectroscopy/Spin-orbit_Coupling/Atomic_Term_Symbols
- chem.libretexts.org/Courses/Pacific_Union_College/Quantum_Chemistry/08%3A_Multielectron_Atoms/8.08%3A_Term_Symbols_Gives_a_Detailed_Description_of_an_Electron_Configuration The PDF origin: web.chem.ucsb.edu/~devries/chem218/Term%20symbols.pdf
- chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Inorganic_Coordination_Chemistry_(Landskron)/08%3A_Coordination_Chemistry_III_-_Electronic_Spectra/8.01%3A_Quantum_Numbers_of_Multielectron_Atoms
- physics.stackexchange.com/questions/8567/how-do-electron-configuration-microstates-map-to-term-symbols How do electron configuration microstates map to term symbols?
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