Lorentz group Updated +Created
Subgroup of the Poincaré group without translations. Therefore, in those, the spacetime origin is always fixed.
Or in other words, it is as if two observers had their space and time origins at the exact same place. However, their space axes may be rotated, and one may be at a relative speed to the other to create a Lorentz boost. Note however that if they are at relative speeds to one another, then their axes will immediately stop being at the same location in the next moment of time, so things are only valid infinitesimally in that case.
This group is made up of matrix multiplication alone, no need to add the offset vector: space rotations and Lorentz boost only spin around and bend things around the origin.
One definition: set of all 4x4 matrices that keep the Minkowski inner product, mentioned at Physics from Symmetry by Jakob Schwichtenberg (2015) page 63. This then implies:
Romance of the Three Kingdoms event Updated +Created
satoshin@gmx.com Updated +Created
Steganography Updated +Created
A Hundred Birds Pay Homage to the Phoenix Updated +Created
Video 1.
A Hundred Birds Pay Homage to the Phoenix with suona solo performed by Li Guangcai
. Source.
Bicycle tire sizes Updated +Created
Yes, Sheldon he has separate American and British English versions of pages!!!
For example, Kross bicycle (2017) had a Schwalbe tyre with markings:
42-622 (28 x 1.60, 700x40C)
When inflated, the tires were about 3.5cm wide as measured with a ruler.
And the Mavic A319 rim had markings:
622x19C
In this:
Cool data embedded in the Bitcoin blockchain / AtomSea & EMBII data format Updated +Created
For a detailed analysis of one transaction see: Nelson-Mandela.jpg.
Best guess so far, all in ASCII hex of output scripts:
Coordinate chart Updated +Created
Mr. SQUID Updated +Created
This is the cutest product name ever.
Since 1992, Mr. SQUID has been the standard educational demonstration system for undergraduate physics lab courses.
YBCO device, runs on liquid nitrogen.
Peter Todd's hash collision puzzles Updated +Created
As mentioned at the prize was claimed at 8d31992805518fd62daa3bdd2a5c4fd2cd3054c9b3dca1d78055e9528cff6adc (2017-02-23) which spends several inputs with the same unlock script that presents two different constantants that have the same SHA-1:
printf 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 | xxd -r -p | sha1sum
printf 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 | xxd -r -p | sha1sum
both giving
f92d74e3874587aaf443d1db961d4e26dde13e9c
It was claimed on the same day that Google disclosed the collision: security.googleblog.com/2017/02/announcing-first-sha1-collision.html
Both of these are PDF prefixes, so they start with the PDF file signature, but are not fully viewable PDFs on their own.
Point groups in two dimensions Updated +Created
Binary data Updated +Created
Binary large object Updated +Created
Less evil are BLOBs that come from Reproducible builds.
Bipolar junction transistor Updated +Created
As of 2020, not used anymore in logic gates, but still used in amplifiers.
Birch and Swinnerton-Dyer conjecture Updated +Created
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. . 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 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.
CEA Paris-Saclay Updated +Created
Centerpiece of the CEA since the beginning of the French nuclear weapons program, headquarters since 2006.
As of 2023 the place was blurred on Google Maps satellite view, no wonder.
Pokemon Mania Updated +Created
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!
.

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