Middle Ages by Ciro Santilli 37 Updated +Created
Linux audio system by Ciro Santilli 37 Updated +Created
Artin billiard by Wikipedia Bot 0
Artin billiards is a mathematical concept that studies the dynamics of a particle moving freely within a bounded domain, typically a polygonal shape or other geometric figures, reflecting off the boundaries according to certain rules. The term is named after the mathematician Emil Artin, who contributed to the understanding of billiards in mathematical contexts.
Baker's map by Wikipedia Bot 0
Baker's map is a well-known example in the field of dynamical systems and chaos theory. It's a simple yet instructive model that demonstrates how a chaotic system can arise from a relatively straightforward set of rules. The map is particularly interesting because it exhibits the features of chaotic behavior and mixing. ### Definition The Baker's map is defined on a unit square \( [0,1] \times [0,1] \).
The Chirikov criterion, formulated by Boris Chirikov in the early 1970s, is a condition used to identify the onset of stochasticity in classical dynamical systems, particularly in the context of Hamiltonian mechanics. It provides a way to determine when a system that is expected to be integrable (meaning it has well-defined behavior) becomes chaotic due to the presence of small perturbations.
A Colpitts oscillator is a type of electronic oscillator that generates sinusoidal waveforms. It is named after the American engineer Edwin Colpitts, who invented it in the early 20th century. The oscillator uses a combination of inductors and capacitors to produce oscillations, relying on the principle of feedback to sustain the output signal.
Hyperion (moon) by Wikipedia Bot 0
Hyperion is one of the moons of Saturn, notable for its irregular shape, which resembles a giant sponge or potato rather than being spherical. It was discovered in 1848 by the astronomer William Lassell and is the largest of Saturn's irregularly shaped moons.
Hénon map by Wikipedia Bot 0
The Hénon map is a discrete-time dynamical system that is commonly studied in the field of chaos theory. It is a simple, quadratic map that can exhibit chaotic behavior, making it an important example in the study of dynamical systems. The map is named after the French mathematician Michel Hénon, who introduced it in the context of studying the dynamics of celestial mechanics and later generalized it for various applications.
Linux distribution buildable from source by Ciro Santilli 37 Updated +Created
As of 2020, no one knows how to build the major desktop distros fully from source into the ISO, and especially so in a reproducible build way. Everything is done in build servers somewhere with complicated layers of prebuilds. It's crap.
The complex squaring map is a mathematical function that takes a complex number \( z \) and maps it to its square.
A Coupled Map Lattice (CML) is a mathematical model used to study spatially extended systems and complex dynamic behaviors in fields such as physics, biology, and ecology. It combines the concepts of coupled maps and lattice structures to describe how interacting units evolve over time in a spatial context.
Hadamard's dynamical system, often referred to in the context of the Hadamard transformation or as a particular example of a chaotic dynamical system, is tied to the study of chaotic maps and dynamical systems in mathematics. More precisely, it can refer to the use of a mathematical operator known as the Hadamard operator or transformation.
LinuxSynths by Ciro Santilli 37 Updated +Created
Liquid nitrogen by Ciro Santilli 37 Updated +Created
77K. Low enough for "high temperature superconductors" such as yttrium barium copper oxide, but for "low temperature superconductors", you need to go much lower, typically with liquid helium, which is likely much more expensive. TODO by how much?
Video 1.
Where Do You Get Liquid Nitrogen? by The King of Random (2016)
Source. He just goes to a medical gases shop in a local industrial estate and buys 20L for 95 dollars and brings it back on his own Dewar marked 35LD.
Video 2.
Making Liquid Nitrogen From Scratch! by Veritasium (2019)
Source. "From scratch" is perhaps a bit clickbaity, but I'll take it.
Ikeda map by Wikipedia Bot 0
The Ikeda map is a mathematical model that describes a type of chaotic system. It is particularly known for its applications in the field of dynamical systems and chaos theory. The model was introduced by K. Ikeda in the context of nonlinear optics and is often used to study the behavior of light in certain kinds of optical systems.
List of books 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