Burgers' equation is a fundamental partial differential equation in fluid mechanics and mathematics. It is named after the Dutch physicist Johannes Burgers, who introduced it in his study of turbulence and other fluid dynamics phenomena. The equation can be seen as a simplification of the Navier-Stokes equations, which govern fluid motion.
The Camassa-Holm equation is a nonlinear partial differential equation that describes the dynamics of shallow water waves. It was first introduced by Roberta Camassa and Darryl Holm in their 1993 paper. The equation models unidirectional wave propagation and is noteworthy for its ability to describe solitary waves, which can maintain their shape while traveling at constant speeds.
The Darcy friction factor, often denoted as \( f \), is a key component in the Darcy-Weisbach equation, which is used to calculate pressure loss (or head loss) due to friction in a pipe or duct.
sqlite3 ':memory:' 'WITH t (i) AS (VALUES (-1), (-1), (-2)) SELECT *, row_number() over () FROM t'
-1|1
-1|2
-2|3
With a possible output:
partition by
:sqlite3 ':memory:' 'WITH t (i) AS (VALUES (-1), (-1), (-2)) SELECT *, row_number() over ( partition by i ) FROM t'
-2|1
-1|1
-1|2
The development cycle time is your God by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
New developers won't want to learn your project, because they would rather shoot themselves.
Of course, at some point software gets large enough that things won't fit anymore in 5 seconds. But then you must have either some kind of build caching, or options to do partial builds/tests that will bring things down to that 5 second mark.
A slow build from scratch will mean that your continuous integration costs a lot, money that could be invested in a new developer!
One anecdote comes to mind. Ciro Santilli was trying to debug something, and more experience colleague came over.
To reproduce a problem, ciro was running one command, wait 5 seconds, run a second command, wait 5 seconds, run a third command:
cmd1
# wait 5 seconds
cmd2
# wait 5 seconds
cmd3
The first thing the colleague said: join those three commands into one:And so, Ciro was enlightened.
cmd1;cmd2;cmd3
The Darcy–Weisbach equation is used in fluid mechanics to calculate the pressure loss (or head loss) due to friction in a pipeline or duct. It is an essential equation for engineers and designers working with fluid flow systems to assess the efficiency and performance of piping and ductwork.
The Davey-Stewartson equation is a nonlinear partial differential equation that arises in the study of wave phenomena, particularly in the context of two-dimensional surface water waves. It is a generalization of the nonlinear Schrödinger equation and describes the evolution of complex wave packets in a two-dimensional setting.
FreeS/WAN is an open-source software implementation of the IPsec (Internet Protocol Security) protocol suite, which is used to secure Internet Protocol (IP) communications through encryption and authentication. The name "FreeS/WAN" stands for "Free Secure Wide Area Network." Developed in the late 1990s, FreeS/WAN was one of the first IPsec implementations available for Linux, allowing users to create secure virtual private networks (VPNs).
Guerilla Open Access Manifesto by Aaron Swartz (2008) by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Hmmm, he does not know how to spell guerilla? sic? www.quora.com/What-is-the-correct-spelling-guerilla-or-guerrilla
That's how Russian shadow library maintainers do it, they know how to crime good old Russians. Maybe there is a good thing about having dictatorships in the world that give zero fucks about American copyright laws. There will always be some random Russian academic who will implement this and not go to jail. Maybe it's even state sponsored.
One of the dudes from the AtomSea & EMBII Bitcoin-based file upload system.
- github.com/embiimob
- Real name: likely "Eric Bobby" according to:According to Figure "
Loraine.jpg
" however, his mother's name was "Loraine Elizabeth White", so there's some chance his real family name is Mr. White.However according to bitfossil.org/937f70bf641ccabaf623772367df64bd867ad44c53fd227d01f2662e74aeacbf/ his daughter is Maddy Bobby, so maybe he is actually Bobby. - twitter.com/EMBII4U
- twitter.com/TheAtomSea/status/990318090738196481 sample link
- x.com/EMBII4U/status/1901769408453718146 possibly retired in 2021 after working as a barista
- he seems to have been quite interested in natural science at around high school before he decided to waste his life as a crypto artist
- x.com/EMBII4U/status/1936278732760666236:
I was science student of the year 1992 all because of molecular biology for real
- x.com/EMBII4U/status/1727331097447428199 a love declaration to Marie Curie
The Euler–Tricomi equation is a second-order partial differential equation (PDE) that arises in various fields, including fluid dynamics and mathematical physics. It is named after the mathematicians Leonhard Euler and Francesco Tricomi.
Faxén's law describes the force experienced by a spherical particle suspended in a fluid when it is subjected to an external oscillating field, such as a pressure gradient or a fluid flow. It is particularly relevant in the study of colloidal suspensions and the behavior of particles in non-Newtonian fluids.
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact