Burgers' equation by Wikipedia Bot 0
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.
Paul Allen by Ciro Santilli 37 Updated +Created
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.
ROW_NUMBER by Ciro Santilli 37 Updated +Created
sqlite3 ':memory:'  'WITH t (i) AS (VALUES (-1), (-1), (-2)) SELECT *, row_number() over () FROM t'
Possible output:
-1|1
-1|2
-2|3
Gives them unique IDs.
With a partition by:
sqlite3 ':memory:'  'WITH t (i) AS (VALUES (-1), (-1), (-2)) SELECT *, row_number() over ( partition by i ) FROM t'
possible output:
-2|1
-1|1
-1|2
The development cycle time is your God by Ciro Santilli 37 Updated +Created
A slow development test cycle will kill your software.
New developers won't want to learn your project, because they would rather shoot themselves.
This means that build time, and the time to run tests, must be short.
5 seconds to rebuild is the maximum upper limit.
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.
You also have to spend some time profiling execution and build from scratch times.
A slow build from scratch will mean that your continuous integration costs a lot, money that could be invested in a new developer!
It also means that people won't bother to reproduce bugs on given commits, or bisect stuff.
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:
cmd1;cmd2;cmd3
And so, Ciro was enlightened.
Figure 1.
xkcd 303: Compiling
. Source. They should be benchmarking and fixing their shitty build system instead.
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.
Brooks's law by Ciro Santilli 37 Updated +Created
Video 1.
The Misty Mountains Cold Scene from The Hobbit: An Unexpected Journey (2012)
Source.
I will take each and every one of these dwarves over an army from the Iron Hills. For when I called upon them they answered. Loayalty. Honour. And willing heart. I can ask no more than that.
The Navier-Stokes equations describe the motion of fluid substances and are fundamental in fluid mechanics. They are derived from the principles of conservation of mass, momentum, and energy. Here, I'll summarize how these equations are derived step-by-step. ### 1. Conservation of Mass (Continuity Equation) The principle of mass conservation states that the mass of a fluid in a control volume must remain constant over time if no mass enters or leaves the volume.
FreeS/WAN by Wikipedia Bot 0
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).
Gmail by Ciro Santilli 37 Updated +Created
Guerilla Open Access Manifesto by Aaron Swartz (2008) by Ciro Santilli 37 Updated +Created
Hmmm, he does not know how to spell guerilla? sic? www.quora.com/What-is-the-correct-spelling-guerilla-or-guerrilla
Note to self: if you are going to commit a crime, don't publish your plans online.
Ross Ulbricht's diaries come to mind.
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.
Drag equation by Wikipedia Bot 0
The drag equation is a mathematical formula used to calculate the drag force experienced by an object moving through a fluid, such as air or water. The drag force (F_d) is the resistance experienced by the object due to the fluid surrounding it.
Ubuntu 22.04 by Ciro Santilli 37 Updated +Created
EMBII by Ciro Santilli 37 Updated +Created
One of the dudes from the AtomSea & EMBII Bitcoin-based file upload system.
Figure 1.
EMBII's usual profile image
. Source.
Work by Gwern Branwen by Ciro Santilli 37 Updated +Created
Faxén's law by Wikipedia Bot 0
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.
Tim O'Reilly by Ciro Santilli 37 Updated +Created

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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