Classification of finite simple groups Updated 2025-07-16
Ciro Santilli is very fond of this result: the beauty of mathematics.
How can so much complexity come out from so few rules?
How can the proof be so long (thousands of papers)?? Surprise!!
And to top if all off, the awesomely named monster group could have a relationship with string theory via the monstrous moonshine?
The classification contains:
- cyclic groups: infinitely many, one for each prime order. Non-prime orders are not simple. These are the only Abelian ones.
- alternating groups of order 4 or greater: infinitely many
- groups of Lie type: a contains several infinite families
- sporadic groups: 26 or 27 of them depending on definitions
Simple Groups - Abstract Algebra by Socratica (2018)
Source. Good quick overview. Classification of second order partial differential equations into elliptic, parabolic and hyperbolic Updated 2025-07-16
One major application of this classification is that different boundary conditions are suitable for different types of partial differential equations as explained at: which boundary conditions lead to existence and uniqueness of a second order PDE.
Clifford gates Updated 2025-07-16
This gate set alone is not a set of universal quantum gates.
Notably, circuits containing those gates alone can be fully simulated by classical computers according to the Gottesman-Knill theorem, so there's no way they could be universal.
This means that if we add any number of Clifford gates to a quantum circuit, we haven't really increased the complexity of the algorithm, which can be useful as a transformational device.
Clinton Engineer Works Updated 2025-07-16
Produced the enriched uranium used for Little Boy, located in the area/predecessor of Oak Ridge National Laboratory.
Concatenate two videos with ffmpeg Updated 2025-07-16
Organization developing quantum control systems Updated 2025-07-16
Schwinger effect Updated 2025-07-16
SQLite benchmark Updated 2025-07-16
SQL prefix column names with the table they came from Updated 2025-07-16
Closed access academic journals are evil Updated 2025-07-16
You are nothing but useless leeches in the Internet age.
You must go bankrupt all of you, ASAP.
Researchers and reviewers all work for peanuts, while academic publishers get money for doing the work that an algorithm could do. OurBigBook.com.
When Ciro learned URLs such as www.nature.com/articles/181662a0 log you in automatically by IP, his mind blew! The level of institutionalization of this theft is off the charts! The institutionalization of theft is also clear from article prices, e.g. 32 dollars for a 5 page article.
Long live the Guerilla Open Access Manifesto by Aaron Swartz (2008).
Key physics papers from the 50's are still copyright encumbered as of 2020, see e.g. Lamb-Retherford experiment. Authors and reviewers got nothing for it. Something is wrong.
Infinite list of other people:
- blog.machinezoo.com/public-domain-theft by Robert Važan:
Scientific journals are perhaps one of the most damaging IP rackets. Scientists are funded by governments to do research and publish papers. Reviews of these papers are done by other publicly funded scientists. Even paper selection and formatting for publication is done by scientists. So what do journals actually do? Nearly nothing.
Academic Publishing by Dr. Glaucomflecken (2022)
Source. COCO dataset Updated 2025-07-16
From cocodataset.org/:
So they have relatively few object labels, but their focus seems to be putting a bunch of objects on the same image. E.g. they have 13 cat plus pizza photos. Searching for such weird combinations is kind of fun.
Their official dataset explorer is actually good: cocodataset.org/#explore
Also, images have captions describing the relation between objects:Epic.
This dataset is kind of cool.
Soviet Union Updated 2025-07-16
Ultraviolet catastrophe Updated 2025-07-16
What is the Ultraviolet Catastrophe? by Physics Explained (2020)
Source. City in the Netherlands Updated 2025-07-16
Cladogram Updated 2025-07-16
TODO vs Phylogenetic tree? www.visiblebody.com/blog/phylogenetic-trees-cladograms-and-how-to-read-them:
Cladograms and phylogenetic trees are functionally very similar, but they show different things. Cladograms do not indicate time or the amount of difference between groups, whereas phylogenetic trees often indicate time spans between branching points.
Coinbase Bitcoin hello world Updated 2025-07-16
Collected Papers On Wave Mechanics by Deans (1928) Updated 2025-07-16
English translation of papers that include the original Quantization as an Eigenvalue Problem by Schrödinger (1926).
Collecting Updated 2025-07-16
Collegiate university Updated 2025-07-16
Colony (biology) Updated 2025-07-16
It is hard to distinguish between colonies of unicellular organism and multicellular organism as there is a continuum between both depending on how well integrated they cells are.
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