Bipolar junction transistor Updated 2025-07-16
As of 2020, not used anymore in logic gates, but still used in amplifiers.
Birch and Swinnerton-Dyer conjecture Updated 2025-07-16
The BSD conjecture states that if your name is long enough, it will always count as two letters on a famous conjecture.
Maybe also insert a joke about BSD Operating Systems if you're into that kind of stuff.
The conjecture states that Equation 1. "BSD conjecture" holds for every elliptic curve over the rational numbers (which is defined by its constants and )
Equation 1.
BSD conjecture
. Where the following numbers are defined for the elliptic curve we are currently considering, defined by its constants and :
The conjecture, if true, provides a (possibly inefficient) way to calculate the rank of an elliptic curve over the rational numbers, since we can calculate the number of elements of an elliptic curve over a finite field by Schoof's algorithm in polynomial time. So it is just a matter of calculating like that up to some point at which we are quite certain about .
The Wikipedia page of the this conecture is the perfect example of why it is not possible to teach natural sciences on Wikipedia. A million dollar problem, and the page is thoroughly incomprehensible unless you already know everything!
Figure 1.
as a function of for the elliptic curve
. Source. The curve is known to have rank 1, and the logarithmic plot tends more and more to a line of slope 1 as expected from the conjecture, matching the rank.
Video 1.
Birch and Swinnerton-Dyer conjecture by Kinertia (2020)
Source.
Video 2.
The $1,000,000 Birch and Swinnerton-Dyer conjecture by Absolutely Uniformly Confused (2022)
Source. A respectable 1 minute attempt. But will be too fast for most people. The sweet spot is likely 2 minutes.
Pokemon Mania Updated 2025-07-16
Video 1.
Pokemania Comes to America by ABC News (1999)
Source. Ciro Santilli was a part of it! Especially during Ciro Santilli's 10 month stay in Coventry, United Kingdom, in the year 2000!
.
Encyclopedia Britannica Updated 2025-07-16
Ciro Santilli is old enough to remember his parents whispering its name with a respectful tone.
Genius: Richard Feynman and Modern Physics by James Gleick (1994) mentions several times how Richard Feynman was a reader of the encyclopedia. E.g. in youtu.be/ivxkd98mDvc?t=50 Richard's sister also talks about it.
Then the Internet came along and killed it.
The motivation model for collaborators was simple: to get famous. To be able to be selected contribute an article meant that you knew something or two! There was some physicist Ciro read the biography of who was really glad to be able to write an article on the encyclopedia after having worshiped it for so long, TODO find the reference.
While this is somewhat a part of Wikipedia motivation, it is much less so because there is no single article authorship. This is something OurBigBook.com aims to improve.
Multivariate polynomial Updated 2025-07-16
A polynomial with multiple input arguments, e.g. with two inputs and :
as opposed to a polynomial with a single argument e.g. one with just :
Phylogenetic tree Updated 2025-07-16
It is important to note that due to horizontal gene transfer, the early days of life, and still bacteria to this day due to bacterial conjugation, are actually a graph and not a tree, see also: Figure "Graph of life".
Definitely have a look at: coral of life representations.
UNION (SQL) Updated 2025-07-16
Basic example tested on SQLite 3.40.1, Ubuntu 23.04:
sqlite3 :memory: 'select 1 union select 2'
output:
1
2
Two columns two rows:
sqlite3 :memory: <<EOF
select * from (values (1, 2), (2, 3))
union
select * from (values (2, 3), (3, 4))
EOF
output:
1|2
2|3
3|4
Note how duplicates are removed, to keep them we UNION ALL instead:
sqlite3 :memory: <<EOF
select * from (values (1, 2), (2, 3))
union all
select * from (values (2, 3), (3, 4))
EOF
output:
1|2
2|3
2|3
3|4
United Kingdom Updated 2025-07-16
The United Kingdom is one big field.
Everything is extremely uniform and fully controlled by humans. Maybe this is partially due to it being an island with extensive flood plains. Loots of white mana floating around there.
Some impressively sounding natural parks look more like cute countryside that is slightly hillier than the surrounding countryside.
This uniformity does however make it quite comfortable for its Hobbit inhabitants.
It also means that whenever slightly out of the ordinary happens, e.g., a bit of slightly heavier rain, everything floods. In some way however, the Brits are very pragmatic, and as long as the flood is not too bad, they just let it be, it might be cheaper.
Epsilon (letter) Updated 2025-07-16
Confusingly, in LaTeX:
  • \varepsilon rendered , is the default modern Greek glyph
  • \epsilon rendered is the lunate variant
FFFFF 000 points to its own physical address FFFFF 000. This kind of translation is called an "identity mapping", and can be very convenient for OS-level debugging.

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