Hermitian form Updated 2025-07-16
The prototypical example of it is the complex dot product.
Note that this form is neither strictly symmetric, it satisfies:
where the over bar indicates the complex conjugate, nor is it linear for complex scalar multiplication on the second argument.
Higgs boson Updated 2025-07-16
Initially there were mathematical reasons why people suspected that all boson needed to have 0 mass as is the case for photons a gluons, see Goldstone's theorem.
However, experiments showed that the W boson and the Z boson both has large non-zero masses.
So people started theorizing some hack that would fix up the equations, and they came up with the higgs mechanism.
High-temperature superconductivity Updated 2025-07-16
As of 2020, basically means "liquid nitrogen temperature", which is much cheaper than liquid helium.
Figure 1.
Timeline of superconductivity from 1900 to 2015
. Source.
Haven't found the one yet:
Optional but really ideal:
  • can delete messages from the device of the person you sent it to, no matter how old
  • decentralized, your username is a public key
The state of messaging is ridiculous as of 2020.
Wikipedia Updated 2025-07-16
The most important page of Wikipedia is undoubtedly: en.wikipedia.org/wiki/Wikipedia:Reliable_sources/Perennial_sources which lists the accepted and non accepted sources. Basically, the decision of what is true in this world.
Wikipedia is incredibly picky about copyright. E.g.: en.wikipedia.org/wiki/Wikipedia:Deletion_of_all_fair_use_images_of_living_people because "such portrait could be created". Yes, with a time machine, no problem! This does more harm than good... excessive!
Citing in Wikipedia is painful. Partly because of they have a billion different templates that you have to navigate. They should really have a system where you can easily reuse existing sources across articles! Section "How to use a single source multiple times in a Wikipedia article?"
Video 1.
What Happened To Wikipedia's Founders?
Source.
Video 2.
Inside the Wikimedia Foundation offices by Wikimedia Foundation (2008)
Source.
Wikipedia CatTree Updated 2025-07-16
This mini-project walks the category hierarchy Wikipedia dumps and dumps them in various simple formats, HTML being the most interesting!
Figure 1.
Mathematics dump of Wikipedia CatTree
. Source.
Wikipedia dumps Updated 2025-07-16
Per-table dumps created with mysqldump and listed at: dumps.wikimedia.org/. Most notably, for the English Wikipedia: dumps.wikimedia.org/enwiki/latest/
The tables are "documented" under: www.mediawiki.org/wiki/Manual:Database_layout, e.g. the central "page" table: www.mediawiki.org/wiki/Manual:Page_table. But in many cases it is impossible to deduce what fields are from those docs.
William Shockley Updated 2025-07-16
This dude is the charicature of the evil scientist! It is so funny. Brilliant, ambitious and petty!
Magnetic resonance imaging Updated 2025-07-16
MRI is using NMR to image inside peoples bodies!
Video 1.
How does an MRI machine work? by Science Museum (2019)
Source. The best one can do in 3 minutes perhaps.
Video 2.
How MRI Works Part 1 by thePIRL (2018)
Source.
Video 3.
What happens behind the scenes of an MRI scan? by Strange Parts (2023)
Source.
Video 4.
Dr Mansfield's MRI MEDICAL MARVEL by BBC
. Source. Broadcast in 1978. Description:
Tomorrow's World gave audiences a true world first as Dr Peter Mansfield of the University of Nottingham demonstrated the first full body prototype device for Magnetic resonance imaging (MRI), allowing us to see inside the human body without the use of X-rays.
Featuring the yet-to-be 2003 Nobel Prize in Physiology and Medicine Dr. Mansfield.
Mathieu group Updated 2025-07-16
Contains the first sporadic groups discovered by far: 11 and 12 in 1861, and 22, 23 and 24 in 1973. And therefore presumably the simplest! The next sporadic ones discovered were the Janko groups, only in 1965!
Each is a permutation group on elements. There isn't an obvious algorithmic relationship between and the actual group.
TODO initial motivation? Why did Mathieu care about k-transitive groups?
Their; k-transitive group properties seem to be the main characterization, according to Wikipedia:
Looking at the classification of k-transitive groups we see that the Mathieu groups are the only families of 4 and 5 transitive groups other than symmetric groups and alternating groups. 3-transitive is not as nice, so let's just say it is the stabilizer of and be done with it.
Video 1.
Mathieu group section of Why Do Sporadic Groups Exist? by Another Roof (2023)
Source. Only discusses Mathieu group but is very good at that.
Video game console Updated 2025-07-16
Who needs a hackable general purpose computer, when you can buy a completely locked down computer that only runs useless programs for which you have to pay thousands of dollars to develop for, cannot run a large percentage of major titles from competitor hardware due to business deals (see also) and will inevitably reach planned obsolescence in 4 years?
XPath Updated 2025-07-16
XPath kind of died with the rise of CSS selectors around the beginnning of the 2010's. But that is a shame. XPath is a good standard, and was generally more powerful than CSS selectors for many many years.
Box2D Updated 2025-07-16
Craig Steven Wright Updated 2025-07-16
This dude actually managed to convince a brain-dead British court that he was Satoshi and force a takedown of the Bitcoin whitepaper from bitcoin.org/bitcoin.pdf where it had been for many years prior: coinmarketcap.com/academy/article/bitcoin-org-ordered-to-take-down-bitcoin-whitepaper-because-of-copyright-infringement The page was updated to simply display the following Satoshi quote:
It takes advantage of the nature of information being easy to spread but hard to stifle. - Satoshi Nakamoto
The mere thought that Satoshi would attempt to copyright takedown the Bitcoin whitepaper, and not be able to back his identidy with any cryptographic keys, makes one shrivel to the bones.
Also, kids, this is why you put a fucking license on everything you release to the public, and especially when doing so anonymously!!! A quick CC BY-SA on that paper would have prevented all this bullshit.
Timeline:
Interesting

Unlisted articles are being shown, click here to show only listed articles.