The Twelve Apostles were actually officially appointed by Jesus amongst his followers. It was not simply that they were the first followers. It was official rank.
Saint Peter by Ciro Santilli 40 Updated 2025-07-16
Brother of andrew the Apostle, called by Jesus in fishers of men. Born Simon, but Jesus renamed him to Peter, thus the weird "Simon called Peter" way he is referred to as in some versions of the Bible.
Trapped ion people acknowledge that they can't put a million qubits in on chip (TODO why) so they are already thinking of ways to entangle separate chips. Thinking is maybe the key word here. One of the propoesd approaches inolves optical links. Universal Quantum for example explicitly rejects that idea in favor of electric field link modularity.
Take the group of all Translation in .
Let's see how the generator of this group is the derivative operator:
The way to think about this is:
So let's take the exponential map:
and we notice that this is exactly the Taylor series of around the identity element of the translation group, which is 0! Therefore, if behaves nicely enough, within some radius of convergence around the origin we have for finite :
This example shows clearly how the exponential map applied to a (differential) operator can generate finite (non-infinitesimal) Translation!
Ciro Santilli's joke version of the Chinese Four Treasures of the Study!
  • web browser
  • Text editor
  • terminal. Though to be honest, circa 2022, Ciro learned of the ctrl + click to open file (including with file.c:123 line syntax) ability of Visual Studio Code (likely present in other IDEs), and he was starting considering dumping the terminal altogether if some implementation gets it really really right. The main thing is that it can't be a tinny little bar at the bottom, it has to be full window and super easily toggleable!
In the past, Ciro used to use file managers, which would be the fourth tresure. But he stopped doing so for years due to his cd alias... so it became three. He actually had exactly three windows open when he was checking if there was anything else he could not open hand of.
Figure 1.
The three Treasures of the Programmer
. Featuring: Gvim, tmux running in GNOME terminal, and Chromium browser on Ubuntu 22.04. The minimized windows are for demonstration purposes, Cirism mandates that all windows shall be maximized at all times. Splits withing a single program are permitted however.
SVG 1.2 by Ciro Santilli 40 Updated 2025-07-16
Dropped in favor of SVG 2.
SVG background color by Ciro Santilli 40 Updated 2025-07-16
This is a pain point as of SVG 1.1...
Examples at svg/background.html which answers from stackoverflow.com/questions/11293026/default-background-color-of-svg-root-element/11293812:
This pain reflects directly on Inkscape: set SVG background color in Inkscape.
SVG fonts by Ciro Santilli 40 Updated 2025-07-16
The major problem with SVG is text computer fonts. If you make an image with text that depends on one computer font and it is not present in the viewer's machine, it will use some other font, which may overlap with other elements of the image. Some libraries Matplotlib solve this by writing characters as curves, but this produces large files and unsearchable text. The inability of different computer platforms to standardize fonts that must always be present is a major issue.
Non-linearity is needed otherwise the input energy would just make the state go to higher and higher energy levels, e.g. from 1 to 2. But we only want to use levels 0 and 1.
The way this is modelled in by starting from a pure LC circuit, which is an harmonic oscillator, see also quantum LC circuit, and then replacing the linear inductor with a SQUID device, e.g. mentioned at: youtu.be/eZJjQGu85Ps?t=1655 Video "Superconducting Qubits I Part 1 by Zlatko Minev (2020)".

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 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