Microwave vs radio wave transmission by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
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 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 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.
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 2025-07-01 +Created 1970-01-01
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.
Lots of demos.
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?
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.Making Liquid Nitrogen From Scratch! by Veritasium (2019)
Source. "From scratch" is perhaps a bit clickbaity, but I'll take it. List all domains from the Wayback Machine by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
- archive.org/post/1055220/how-to-query-for-all-the-websites-that-end-in-combr
- archive.org/details/WebArchiveDomainFiles only a random list with per-ccTLDs upon request of (paid presumably) partners. As of 2023 only contains the Netherlands: archive.org/details/Dotnl-2016-present-domains-in-wayback-domainyear-of-last-capture
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.
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