The geothermal gradient refers to the rate at which temperature increases with depth below the Earth's surface. Typically, the temperature rises approximately 25 to 30 degrees Celsius for every kilometer of depth in the Earth's crust, although this rate can vary widely depending on geological conditions.
Thermal subsidence refers to the process by which the Earth's surface sinks or lowers due to cooling and contraction of the underlying materials, commonly occurring in tectonic settings. This geological phenomenon can occur in various contexts, such as: 1. **Ocean Basins**: When new oceanic crust forms at mid-ocean ridges, it is initially hot and occupies a larger volume than when it cools and solidifies.
C-squares could refer to several concepts, depending on the context. However, the most recognized use of "C-squares" pertains to programming and data visualization in the context of the C-squares algorithm, which is a method used in geographical information systems (GIS) for creating and analyzing data represented in a grid or square format.
Mapcode is a location referencing system that provides precise coordinates to represent a specific geographic location. It is designed to offer a more user-friendly way to convey location information compared to traditional latitude and longitude coordinates. Mapcode codes are typically alphanumeric strings that can be easily communicated and used across various platforms and applications. The system is particularly useful in situations where standard addresses might not be available or where GPS coordinates would be cumbersome to share.
The Flip Graph is a concept in combinatorial mathematics, specifically in the study of permutations and the arrangement of objects. It is a type of graph that represents the possible transformations (or "flips") of a given object, where nodes represent objects (or permutations) and edges represent allowable flips between them.
The Gauss–Matuyama reversal refers to a significant geomagnetic reversal that occurred approximately 2.58 million years ago, marking the transition from the Gauss Chron (the recent geomagnetic polarity interval) to the Matuyama Chron (the next geomagnetic polarity interval). This reversal is one of the key events in Earth's magnetic history and is used as a reference point in the geological time scale.
A proton magnetometer is a type of magnetic sensor that measures the Earth's magnetic field by detecting the precession frequency of protons in a sample, typically in a fluid like water or a hydrocarbon. This instrument operates based on the principles of nuclear magnetic resonance (NMR). ### Key Features: 1. **Operating Principle**: Proton magnetometers utilize the magnetic properties of protons found in hydrogen atoms. When placed in a magnetic field, these protons align with the field.
Subauroral ion drift (SAID) refers to a phenomenon in the Earth's ionosphere characterized by the motion of ions at altitudes typically between 1,000 and 3,000 kilometers. This drift occurs predominantly in the subauroral regions—areas located just outside the main auroral oval, which is generally centered around the polar regions.
GitHub book repo by Ciro Santilli 37 Updated 2025-07-16
Some amazing people have put book source codes on GitHub. This is a list of such repos.
Quadric geometric algebra refers to an extension of geometric algebra that is specifically designed to handle geometric and algebraic structures related to quadrics, which are second-degree algebraic surfaces. Quadrics can be represented in various forms, such as ellipsoids, hyperboloids, paraboloids, and other related shapes, and they play a significant role in both geometry and physics.
"Buildings and structures by shape" refers to the classification or categorization of architectural and engineering designs based on their geometric forms and outlines. This can encompass a wide variety of shapes, including but not limited to: 1. **Rectangular:** The most common shape, often seen in warehouses, offices, and residential buildings. Typically has four right angles. 2. **Circular:** Structures such as rotundas, arenas, and some modern homes can feature circular designs.
In geometry, particularly in the context of polyhedral modeling and computer graphics, a "blade" typically refers to a flat, planar surface that forms part of a three-dimensional object. However, the term can have specific meanings in different fields or contexts. For example, in the context of 3D modeling, blades may refer to the flat surfaces that make up the faces of a polyhedron or a more complex geometric shape.
Universal Geometric Algebra (UGA) is a mathematical framework that generalizes various geometric concepts and structures using the tools of algebra. It combines elements of linear algebra, multilinear algebra, and geometric reasoning to provide a unified language and method for analyzing geometric problems. At its core, UGA extends traditional ideas of geometric algebra to develop a more comprehensive system that can describe various geometric entities, such as points, lines, planes, and higher-dimensional analogs.
A security log is a detailed record of events and transactions related to security activities within an information system or network. It is typically generated and maintained by various security systems, applications, and devices to track and monitor security-related events. Security logs serve several important purposes, including: 1. **Monitoring**: They help security professionals monitor the system for unusual or unauthorized activities, such as failed login attempts, access to restricted files, or any other suspicious behavior.
The Curve Complex is a mathematical structure used in the field of low-dimensional topology, particularly in the study of surfaces. It provides a combinatorial way to study the mapping class group of a surface, which is the group of isotopy classes of homeomorphisms of the surface.
Flexagon is a term that can refer to a few different concepts, depending on the context. However, it is most commonly recognized in the following ways: 1. **In Mathematics**: A flexagon is a type of flexible polygonal structure that can be manipulated to reveal different faces.
The term "free factor complex" often arises in the context of group theory, particularly in the study of free groups and their actions. A free group is a group that has a basis such that every element can be uniquely expressed as the product of finitely many basis elements and their inverses.
A Følner sequence is a concept from the field of mathematical analysis, particularly in ergodic theory and group theory. It is named after the mathematician Ernst Følner. A Følner sequence provides a way to study the asymptotic behavior of actions of groups on sets and is often used in the context of amenable groups.

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