Eutocius of Ascalon was a Greek mathematician and commentator who lived during the 6th century CE. He is best known for his work in the field of mathematics, particularly for his commentaries on the works of earlier mathematicians, including Archimedes. His contributions served to preserve and elucidate the mathematical knowledge of classical antiquity, which was increasingly endangered during the late Roman and early Byzantine periods.
Leodamas of Thasos was an ancient Greek philosopher and a notable figure in the realm of early philosophical thought. He is often associated with the Movement of the Sophists and is mentioned by various ancient sources. The specifics of his life and teachings are not extensively documented, but he is sometimes cited for his contributions to discussions on ethics, education, and the nature of knowledge.
Proclus, also known as Proclus Diadochus, was a prominent Greek philosopher who lived from approximately 412 to 485 AD. He is best known as a major figure of Neoplatonism, a philosophical system that builds upon the ideas of Plato and integrates various aspects of earlier philosophical traditions.
Xenocrates (c. 396–314 BCE) was a prominent ancient Greek philosopher and a student of Plato. He succeeded Plato as the head of the Academy in Athens and is known for his contributions to philosophy, particularly in the fields of metaphysics, ethics, and mathematics. Xenocrates is also credited with developing ideas related to the nature of the soul and the concept of transmigration.
In aerodynamics, the angle of incidence refers to the angle between the chord line of an airfoil (such as a wing) and the relative wind or the airflow that is approaching it. It is a critical parameter in determining how an airfoil generates lift. The chord line is an imaginary straight line that connects the leading edge (front) of the airfoil to the trailing edge (back).
The First Merkel Cabinet refers to the first government led by Angela Merkel, who served as Chancellor of Germany from 2005 to 2009. This cabinet was formed after the federal election held on September 18, 2005, which resulted in a "grand coalition" between Merkel's Christian Democratic Union (CDU), its Bavarian sister party, the Christian Social Union (CSU), and the Social Democratic Party (SPD).
Angular frequency, often denoted by the Greek letter omega (\(\omega\)), is a measure of how rapidly an object oscillates or rotates in a periodic motion. It is defined as the rate of change of the angular displacement with respect to time, and it is commonly used in physics and engineering to describe systems that exhibit harmonic motion.
The Pythagorean theorem is a fundamental principle in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Davenport's chained rotations is a mathematical theorem related to the study of rotations and their properties in the context of dynamical systems and number theory. Specifically, it deals with the behavior of orbits of points under the action of rotations on the unit circle.
In ballistics, "elevation" refers to the vertical angle at which a projectile needs to be aimed to strike a target at a certain distance. It is usually expressed in degrees and pertains to the upward or downward adjustment of the firearm's sights relative to a horizontal line.
Euler angles are a set of three parameters used to describe the orientation of a rigid body in three-dimensional space. They are named after the Swiss mathematician Leonhard Euler. Euler angles are commonly used in fields like robotics, aerospace, and computer graphics to represent the rotational position of objects. The three angles typically used to represent rotation are often denoted as: 1. **Yaw (ψ)** - This angle represents the rotation around the vertical axis (z-axis).
The total angular momentum quantum number, often denoted by \( J \), is a quantum number that characterizes the total angular momentum of a quantum system. In quantum mechanics, angular momentum is a combined measure of both the orbital angular momentum and the intrinsic angular momentum (or spin) of particles. The total angular momentum \( J \) can be both a result of the orbital angular momentum \( L \) and the spin angular momentum \( S \) of the particles in the system.
A retirement annuity plan is a financial product designed to provide individuals with a steady stream of income during their retirement years. It involves a contract between an individual and an insurance company or financial institution, where the individual makes contributions over time, typically during their working years. In return, the insurance company promises to pay the individual a set amount of income after they retire.
Stockade is a software platform designed for managing and optimizing data related to stock and inventory. It is commonly used by businesses to keep track of their inventory levels, manage orders, and analyze stock movements. The features of Stockade can include tools for inventory tracking, reporting, and analytics to help businesses make informed decisions about purchasing and stocking products.
The cuckoo clock is a traditional timekeeping device that originated in the Black Forest region of Germany in the 18th century. Its unique design, which features a mechanical cuckoo bird that emerges to announce the hour, has made it a cultural symbol in various contexts. Here are some aspects of its cultural significance: 1. **Symbol of German Craftsmanship**: Cuckoo clocks are often seen as examples of high-quality German craftsmanship and artistry.
Modified Allan Variance (MAVAR) is a statistical tool used to analyze the stability of frequency signals, particularly in the context of oscillators, clocks, and timekeeping systems. It is an extension of the Allan Variance, which is primarily used to characterize the stability of frequency and phase of oscillators over time.
"The Thirteenth Stroke of the Clock" is a mystery novel written by French author Gaston Leroux, published in 1923. The story involves themes of intrigue, deception, and the supernatural, revolving around a series of mysterious events tied to a clock that strikes thirteen times, suggesting something out of the ordinary. The narrative typically follows a character who investigates strange occurrences and uncovers secrets that lead to unexpected revelations.
A "hot tower" is a term used in meteorology to describe a specific type of cloud formation, particularly associated with convective activity in the atmosphere. Hot towers are characterized by their tall, vertically developed structures that extend high into the troposphere or even into the lower stratosphere. They are typically associated with deep convection, which can occur in tropical regions where warm, moist air rises rapidly.
A "mystery watch" typically refers to a timepiece that features a unique and intriguing design, where the movement of the watch hands or other elements appears to be disconnected from traditional mechanisms. One of the most famous examples of this type of watch is the "mystery clock" created by the Swiss watchmaker Jaeger-LeCoultre, which has hands that seem to float above the dial or move without being directly connected to a conventional movement.
A "station clock" typically refers to a type of clock that is prominently displayed in public transport stations, such as train or bus stations, airports, or other travel hubs. These clocks serve several purposes: 1. **Timekeeping**: They provide accurate time information to travelers, helping them manage their schedules and make timely departures.

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