Virtue ethics is a philosophical approach to ethics that emphasizes the role of character and virtue in moral philosophy, rather than focusing primarily on rules (deontology) or the consequences of actions (utilitarianism). It is rooted in the works of ancient philosophers, particularly Aristotle, who argued that the development of good character and virtues is essential for leading a good life and achieving eudaimonia, often translated as "flourishing" or "the good life.
"Fundamentum Astronomiae" refers to a notable work in the history of astronomy written by the Polish mathematician and astronomer Nicolaus Copernicus. Published in 1543, it is often recognized for delineating the heliocentric model of the solar system, where the sun is at the center and the planets, including Earth, revolve around it, contrary to the earlier geocentric model which placed the Earth at the center.
Yuktibhāṣā is an Indian philosophical text written in the 14th century by the mathematician and philosopher Madhava of Sangamagrama. It is one of the earliest works to present a systematic exposition of mathematical and astronomical ideas in the context of the Indian mathematical tradition. The text is notable for its argumentation and exposition in a dialogue form, focusing on various mathematical concepts, particularly related to infinitesimal calculus, trigonometry, and approximations of functions.
Gelfond's constant, denoted as \( G \), is a transcendental number defined as: \[ G = 2^{\sqrt{2}} \] It is named after the Russian mathematician Aleksandr Gelfond, who, along with Theodor Schneider, proved that \( G \) is transcendental in 1934. A transcendental number is a number that is not a root of any non-zero polynomial equation with rational coefficients.
Vertex configuration typically refers to how the vertices (corners or points) of a geometric object are arranged or categorized, particularly in the context of polyhedra or other polygonal shapes. In mathematics and computer graphics, the term could also relate to the organization or representation of vertex data in graphical contexts, such as in 3D modeling.
In mathematics, the term "modulo" refers to a mathematical operation that finds the remainder when one integer is divided by another. This operation is commonly denoted using the symbol "mod". For example, the expression \( a \mod b \) means "the remainder when \( a \) is divided by \( b \)".
The Gurzadyan theorem, proposed by the Armenian mathematician A. G. Gurzadyan, deals with a specific aspect of the geometry of circles. It states that if you have a circle and you consider its inscribed and circumscribed polygons, certain properties hold regarding their areas and relationships. One of the most notable implications of Gurzadyan's work is related to the properties of cyclic quadrilaterals and their area expressions.
"Numbers," also styled as "Numb3rs," is an American crime drama television series that aired on CBS from January 2005 to March 2010. The show was created by Nicolas Falacci and Cheryl Heuton. The premise revolves around FBI agent Don Eppes, played by Rob Morrow, who recruits his brother Charlie Eppes, portrayed by David Krumholtz, a mathematical genius, to help solve crimes.
In differential geometry, a **coordinate chart** is a mapping that defines a particular way of describing points in a manifold in terms of coordinates. A coordinate chart is essentially a homeomorphism from an open subset of the manifold to an open subset of Euclidean space. Together, a collection of coordinate charts that covers a manifold forms an **atlas**.
"Touch" is an American television series that aired on Fox from March 2012 to May 2013. Created by Tim Kring, the show stars Kiefer Sutherland as Martin Bohm, a widowed father who struggles to connect with his mute, autistic son, Jake, played by David Mazouz. The central premise revolves around Jake's extraordinary ability to see patterns and connections in numbers, which he uses to interpret global events and interconnected lives.
Mutual exclusivity is a concept used in various fields, including statistics, probability, logic, and decision-making. In general, it refers to a situation where two or more events, outcomes, or propositions cannot occur or be true simultaneously. For example: 1. **Probability**: In probability theory, two events are mutually exclusive if the occurrence of one event means that the other cannot occur.
Statistical regions are defined areas that are used for the collection, analysis, and presentation of statistical data. These regions are created to facilitate the comparison and aggregation of various demographic, economic, and social statistics across different geographical areas. The characteristics of statistical regions can vary widely based on the purpose of the analysis and the types of data being collected.

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