Lie bracket of a matrix Lie group Updated +Created
This makes it clear how the Lie bracket can be seen as a "measure of non-commutativity"
Because the Lie bracket has to be a bilinear map, all we need to do to specify it uniquely is to specify how it acts on every pair of some basis of the Lie algebra.
Then, together with the Baker-Campbell-Hausdorff formula and the Lie group-Lie algebra correspondence, this forms an exceptionally compact description of a Lie group.
Marijuana Updated +Created
Meter Updated +Created
Mt. Gox Updated +Created
The first Bitcoin exchange. Coded as a hack, and they didn't manage to fix the hacks as the site evolved in a major way, which led to massive hacks.
Their creation is clearly visible on the archive history of bitcoin.org: web.archive.org/web/20100701000000*/bitcoin.org which started having massively more archives since Mt. Gox opened.
Video 1.
One Mistake Brought Down This FBI Most Wanted Hacker by Crumb (2023)
Source. Good overview of Mt. Gox.
One parameter subgroup Updated +Created
The one parameter subgroup of a Lie group for a given element of its Lie algebra is a subgroup of given by:
Intuitively, is a direction, and is how far we move along a given direction. This intuition is especially vivid in for example in the case of the Lie algebra of , the rotation group.
One parameter subgroups can be seen as the continuous analogue to the cycle of an element of a group.
Piezoelectric motor Updated +Created
The best technology YouTube channels Updated +Created
You can learn more from older students than from faculty Updated +Created
Wikipedia mentions quoting his Nobel Prize biography:
In Monod's studies he discovered that the course work was decades behind the current biological science. He learned from other students a little older than himself, rather than from the faculty.
Cyc Updated +Created
FTX Updated +Created
Imperial College London Updated +Created
Nice, nice place. Natural sciences only, no bullshit.
ITER Updated +Created
LevelDB Updated +Created
One "LevelDB" database contains multiple file in a directory. Off the bat inferior to SQLite which stores everything in a single file!
Lysergic acid diethylamide Updated +Created
Library of Alexandria Updated +Created
License Updated +Created
Lie algebra exponential covering problem Updated +Created
Mathieu group Updated +Created

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