The Lebombo bone is an archaeological artifact that consists of a baboon fibula with 29 distinct notches. It was discovered in the Lebombo Mountains, which lie on the border between South Africa and Swaziland (now Eswatini). The bone is estimated to be around 35,000 to 65,000 years old and is thought to be one of the oldest known counting tools.
TRPM6 (Transient Receptor Potential Melastatin 6) is a protein that functions as a channel for transporting ions across cell membranes. It is a member of the TRP (Transient Receptor Potential) channel family, specifically the melastatin subfamily. TRPM6 is primarily known for its role in magnesium homeostasis within the body. The protein is expressed in various tissues, including the kidneys and intestines, where it is crucial for the absorption of magnesium from the diet.
The Lwów School of Mathematics was a prominent mathematical community that flourished in the early 20th century in Lwów (now Lviv, Ukraine). It emerged in the interwar period and was characterized by a collaborative and innovative spirit among several distinguished mathematicians.
The Quaternion Society is an organization that is dedicated to the study and promotion of quaternions and related mathematical concepts. Quaternions are a number system that extends complex numbers and are used in various applications, particularly in computer graphics, robotics, physics, and engineering, for representing rotations in three-dimensional space. The society typically aims to foster collaboration among researchers, educators, and practitioners interested in the mathematical theory and applications of quaternions.
The Scottish Café is a well-known eatery located in Edinburgh, Scotland. It is situated adjacent to the Scottish National Gallery, making it a popular spot for both locals and tourists visiting the gallery. The café is renowned for serving a variety of traditional Scottish cuisine, as well as modern dishes made from fresh, locally sourced ingredients. In addition to its food offerings, the Scottish Café typically boasts a comfortable, inviting ambiance, often featuring beautiful views or a well-decorated interior.
Venvaroha is a term that refers to a traditional dance and music form associated with certain communities in India, particularly in the state of Maharashtra. It is characterized by energetic movements and is often performed during festive occasions, celebrations, and cultural events. The dance usually involves vibrant costumes and may include themes tied to local folklore and mythology.
Mathematical concepts refer to the foundational ideas, principles, and structures that form the basis of mathematical reasoning and problem-solving. These concepts are used to understand, describe, and analyze quantitative relationships and patterns in various contexts. Here are some key mathematical concepts: 1. **Numbers**: Includes integers, rational numbers, real numbers, and complex numbers, each with distinct properties and uses.
Units of chemical measurement refer to the standardized quantities used to express and communicate data related to chemical substances, reactions, and properties. These units allow scientists and researchers to measure and compare different aspects of chemical compounds systematically. Here are some of the key units used in chemistry: 1. **Mass**: - **Gram (g)**: The primary unit of mass in the metric system. - **Kilogram (kg)**: 1 kg = 1000 grams.
Units of measurement are standardized quantities used to express physical properties or characteristics. They provide a way to quantify and compare different aspects of the world around us, such as length, mass, volume, temperature, and time. Units can be part of different measurement systems, the most common of which are the International System of Units (SI) and the Imperial system.
A hectare is a unit of area commonly used in land measurement, particularly in agriculture and forestry. It is equivalent to 10,000 square meters or approximately 2.471 acres. The term "hectare" is derived from the metric system, where "hecto-" means one hundred. Therefore, one hectare can be visualized as a square that is 100 meters on each side.
In mathematics, a "limiting case" refers to a situation or a scenario in which a particular condition is approached as a limit. This often involves taking a mathematical expression or situation and examining its behavior as certain parameters or variables tend towards a specific value, often infinity or zero. Limiting cases are commonly used in various fields of mathematics, including calculus, optimization, and differential equations.
A "sheaf of planes" typically refers to a mathematical construct in algebraic geometry and related fields, where a "sheaf" is a tool used to systematically track local data associated with a topological space. This concept is fundamental in the study of algebraic varieties, differentiable manifolds, and other geometrical structures.
Cahen's constant is a mathematical constant that arises in the study of continued fractions and is denoted by the symbol \( C \). It can be defined as the sum of the reciprocals of the factorials of the natural numbers, specifically: \[ C = \sum_{n=0}^{\infty} \frac{1}{n!} \] This series converges to a value very close to the number \( e \) (the base of the natural logarithm).
The Komornik–Loreti constant, denoted as \(C\), is a mathematical constant that arises in the context of number theory and dynamical systems. It is defined as the unique positive root of the polynomial equation: \[ x^2 = 2^{\beta} x + 1 \] where \(\beta\) is a specific parameter, typically equal to \(\log_2(3)\).

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