Total synthesis by Ciro Santilli 40 Updated 2025-07-16
TODO why can't we produce organic compounds more cheaply by total synthesis than biosynthesis?
Weston cell by Ciro Santilli 40 Updated 2025-07-16
In the context of algebraic geometry and representation theory, a **complex reflection group** is a specific type of symmetry group that arises in the study of regular polytopes and their symmetries, particularly in complex vector spaces. Formally, a complex reflection group is defined as a finite group generated by complex reflections.
Lorentz force by Ciro Santilli 40 Updated 2025-07-16
Equation 1.
Lorentz force
.
A little suspicious that it bears the name of Lorentz, who is famous for special relativity, isn't it? See: Maxwell's equations require special relativity.
Apoptosis by Ciro Santilli 40 Updated 2025-07-16
Power, Sex, Suicide by Nick Lane (2006) part 5 "Murder or suicide" mentions that apoptosis has two main functions:
In mathematics, an epigraph is a specific geometric construct associated with a real-valued function. For a function \( f: \mathbb{R}^n \to \mathbb{R} \), the epigraph is defined as the set of points that lie on or above the graph of the function.
Complexification is a term that can refer to various concepts across different fields, often denoting the process of adding complexity to a system, concept, or phenomenon. Here are a few contexts in which "complexification" is commonly used: 1. **Systems Theory and Complexity Science**: In this context, complexification refers to the process by which systems evolve from simpler to more complex forms.
A vector space is a mathematical structure formed by a collection of vectors, which can be added together and multiplied by scalars. Here are some common examples of vector spaces: 1. **Euclidean Space (ℝⁿ)**: - The set of all n-tuples of real numbers.
Vehicle graveyards, often referred to as junkyards, scrap yards, or auto recyclers, are places where discarded, damaged, or end-of-life vehicles are collected and processed. These facilities serve several purposes: 1. **Scrap Metal Recovery**: Vehicle graveyards typically dismantle vehicles for parts and scrap metal. Valuable metals like steel, aluminum, and copper are extracted and sold to be recycled.

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