A disappearing number is a number that, when its digits are manipulated in a specific way, results in the original number disappearing or becoming zero. One common example is **the number 4**, where if you write it down and then subtract half of it (which is 2), you end up with 2.
The Argand system, also known as the Argand plane or complex plane, is a way of representing complex numbers geometrically. Named after the French mathematician Jean-Robert Argand, it allows complex numbers to be visualized and analyzed in a two-dimensional space. In the Argand plane: - The horizontal axis (usually referred to as the x-axis) represents the real part of a complex number.
Water Margin by Ciro Santilli 40 Updated 2025-07-16
Talks about rebellion of the oppressed (and bandits), and therefore has been controversial throughout the many Chinese dictatorships.
The book is based on real events surrounding 12th century rebel leader Song Jiang during the Song dynasty.
It is also interesting that Mao Zedong was apparently a fan of the novel, although he had to hide that to some extent due to the controversial nature of the material, which could be said to instigate rebellion.
The incredible popularity of the novel can also be seen by the large number of paintings of it found in the Summer Palace.
This is a good novel. It appeals to Ciro Santilli's sensibilities of rebelling against unfairness, and in particular about people who are at the margin of society (at the river margin) doing so. Tax the rich BTW.
It also has always made Ciro quite curious how such novels are not used as a way to inspire people to rebel against the Chinese Communist Party.
Full text uploads of Chinese versions:
Particle physics by Ciro Santilli 40 Updated 2025-07-16
Currently an informal name for the Standard Model
Chronological outline of the key theories:
Coulomb's law by Ciro Santilli 40 Updated 2025-07-16
Static case of Maxwell's law for electricity only.
The "static" part is important: if this law were true for moving charges, we would be able to transmit information instantly at infinite distances. This is basically where the idea of field comes in.
Video 1.
Coulomb's Law experiment with torsion balance with a mirror on the balance to amplify rotations by uclaphysics (2010)
Source.
Hall effect by Ciro Santilli 40 Updated 2025-07-16
The voltage changes perpendicular to the current when magnetic field is applied.
Figure 1.
Hall effect experimental diagram
. Source. The Hall effect refers to the produced voltage , AKA on this setup.
An intuitive video is:
The key formula for it is:
where:
Applications:
Other more precise non-classical versions:
Aether drag hypothesis by Ciro Santilli 40 Updated 2025-07-16
Given experiments such as the Fizeau experiment and the Michelson-Morley experiment that couldn't really detect the Earth's movement across aether, people started to wonder if the Earth wasn't dragging the luminiferous aether.

Pinned article: 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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . 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.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  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