Carl Gustav Jacob Jacobi (1804-1851) was a prominent German mathematician known for his significant contributions to various areas of mathematics, particularly in the fields of algebra, analysis, and mathematical physics. He is best known for his work on elliptic functions, theory of determinants, and the theory of dynamic systems. Jacobi was one of the first mathematicians to systematically study elliptic functions and made important advances in the development of elliptic integrals.
The Thue equation is a type of Diophantine equation, which is a polynomial equation that seeks integer solutions. Specifically, a Thue equation has the general form: \[ f(x, y) = h \] where \(f(x, y)\) is a homogeneous polynomial in two variables with integer coefficients, and \(h\) is an integer.
It seems like there might be a typographical error in your question or that "Albert A. Mullin" may not be a widely recognized person, concept, or entity based on the information available up to October 2023. There is a possibility you're referring to a different name or topic.
Arjen Lenstra is a Dutch mathematician and computer scientist known for his work in the areas of number theory, cryptography, and the mathematics of computation. He is particularly notable for his contributions to the field of cryptanalysis, which involves the study of methods for breaking cryptographic systems. Lenstra has worked on various aspects of mathematical algorithms and has been involved in significant advancements related to public key cryptography and integer factorization.
Audrey Terras is a mathematician known for her contributions to the fields of number theory and algebraic geometry. She has made significant contributions to the study of modular forms and has worked on topics related to the theory of automorphic forms, as well as mathematical research involving complex analysis and topology. Terras is also recognized for her work in mathematics education and outreach.
Mean sojourn time refers to the average amount of time that a system, individual, or process spends in a particular state before transitioning to another state. It is a concept commonly used in various fields such as queuing theory, operations research, and systems analysis. In the context of queuing systems, for instance, the mean sojourn time can represent the average time a customer spends in the system, which includes the time waiting in line as well as the time being served.
Working remotely is hard if you don't already highly master the software and enterprise systems used.
Also you don't feel people's love as strongly, and usefulness is built on love, see also Steve Jobs's Pixar office space design philosophy.
But please, give workers a small silent office so that we can concentrate instead of a silly open space, and create an internal social network so people can see what others are doing.
Remote working is much better if the majority of the team also does it, otherwise you will get excluded. Maybe after VR...
Keep debug notes by Ciro Santilli 37 Updated 2025-07-16
When debugging complex software, make sure to keep notes of every interesting find you make in a note file, as you extract it from the integrated development environment or debugger.
Especially if your memory sucks like Ciro's.
This is incredibly helpful in fully understanding and then solving complex bugs.
The most important program ever written!!!
Software engineer by Ciro Santilli 37 Updated 2025-07-16
Poet warriors monkeys? Or Code peasants (码农) according to the Chinese.
Ciro Santilli claims to be one of them.
Much like a pianist plays his piano, a software engineer plays his computer.
Each side is a sphere section. They don't have to have the same radius, they are still simple to understand with different radiuses.
The two things you have to have in mind that this does are:
Ciro Santilli believes that there is a positive correlation between being a software engineer and liking Buddhist-like things.
Maybe it is linked to minimalism and DRY, which software engineers value so greatly.
Even Ciro had to try an unoriginal Buddhist joke intro in one of this Stack Overflow answers.
Ciro also feels that his "minimal reproducible example" scientific language/concept learning method obsession of breaking things into tiny sub-problems has a strong link with Koans.
Some notable Buddhism/programmer examples:
Another thing that points the correlation out is the existence of wattsalan.github.io/ on a github.io about Alan Watts.
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.
Aaron Swartz by Ciro Santilli 37 Updated 2025-07-16
Aaron, Ciro Santilli will complete your quest to make eduction free. Just legally this time, with the and with the Creative Commons license you helped to create.
Ciro likes how The Internet's Own Boy (2014) explains how Aaron felt like high school was bullshit, and that he could learn whatever he wanted from books, which is one of Ciro's key feelings.
It also mentions how he was a natural teacher from a very early age.
The United Kingdom is a great place to cycle in general as there's plenty of small country roads and interesting new small towns to discover, perhaps much like the rest of Europe, as opposed to the United States, which likely has some huge infinitely long straight roads with a lot of nothing in between.
Of particular interest is the large amount of airfields and small air raid shelters in the fields, an ominous reminder of world war 2. The airfields are in various states, from functional military fields, many converted to civilian usage, some have barely any tarmac left but still see usage. And some were just completely abandoned and decayed and became recreation grounds and farms. The UK is therefore also a great place to be if you want to learn to fly as a hobby!

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