George Johnstone Stoney (1826–1911) was an Irish physicist and engineer best known for his contributions to the understanding of atomic theory and for introducing the concept of the electron. He proposed that electricity was made up of discrete units, which he called "electrons" in a paper published in 1874, although the term did not gain popularity until later. Stoney's work laid the groundwork for future developments in atomic physics and largely influenced the field of electrochemistry.
Catalan's minimal surface is a notable example of a minimal surface, which is a surface that locally minimizes area for a given boundary. It is named after the French mathematician Eugène Charles Catalan. This surface can be described mathematically and has interesting geometric properties.
Catherine Greenhill is a prominent figure in the field of mathematics, particularly known for her work in combinatorics and graph theory. She is also known for her contributions to mathematics education and outreach, including efforts to promote mathematics among students and the general public. In addition to her research, she often engages in writing and public speaking, aiming to inspire interest in mathematical concepts and their real-world applications.
"Cats and the Internet" refers to the phenomenon of cats becoming a dominant subject of online content, particularly on social media and video-sharing platforms. This trend encompasses various forms of internet media, such as memes, videos, gifs, and images featuring cats, which often go viral and attract millions of views and likes.
A Cauchy matrix is a type of structured matrix that is defined by its elements as follows: If \( a_1, a_2, \ldots, a_m \) and \( b_1, b_2, \ldots, b_n \) are two sequences of distinct numbers, the Cauchy matrix \( C \) formed from these sequences is an \( m \times n \) matrix defined by: \[ C_{ij} = \frac{1
George Parker Bidder was a notable figure in the 19th century, recognized primarily for his work as a mathematical prodigy and a calculating boy. Born in 1806 in England, he gained fame for his extraordinary ability to perform complex calculations mentally at a very young age. His talents captured the attention of the public and intellectuals alike, and he became a popular figure in exhibitions and demonstrations of mental arithmetic.
The ceiling effect in statistics refers to a situation where a measurement instrument or scale has an upper limit that restricts the ability to measure higher values effectively. This often results in a clustering of scores at the high end of the scale, which can limit the variability of the data and impact the validity of conclusions drawn from the analysis.
A Ptolemaic graph refers to a specific type of graph that is associated with a classical result in geometry known as Ptolemy's theorem. The theorem, attributed to the ancient Greek mathematician Ptolemy, pertains to cyclic quadrilaterals, which are four-sided figures where all vertices lie on a single circle.
Adam and Eve are central figures in the biblical creation story found in the Book of Genesis in the Christian, Jewish, and Islamic traditions. They are often regarded as the first human beings created by God. 1. **Biblical Account**: According to Genesis, God created Adam from dust and breathed life into him. God then created Eve from one of Adam's ribs to be a companion for him. They lived in the Garden of Eden, a paradise where they had everything they needed.
"Over the Rainbow" is a charity album released in 2007 that features various artists performing songs in support of the LGBT community. The album was produced to raise funds for charity organizations that work towards LGBT rights and support. The album's title is a nod to the iconic song "Over the Rainbow," which has become a symbol of hope and acceptance. The album includes contributions from a range of artists, and it seeks to promote messages of love, inclusivity, and equality.
The Center for Army Analysis (CAA) is a U.S. Army organization that focuses on providing analytical support to inform and improve Army operations and decision-making. Based at Fort Belvoir in Virginia, the CAA conducts a range of assessments and studies that include aspects of military operations, force structure, modernization, and resource allocation. The CAA employs a variety of analytical tools and methodologies to assist military leaders and policymakers.
"Songs of Love & Loss 2" is a theatrical production that is part of a series created by the famous British composer and lyricist Jason Robert Brown. The show features a collection of songs that explore themes of love, heartbreak, and the emotional complexities associated with relationships. It often showcases the intersection of personal stories and universal experiences, making the songs relatable to a wide audience.
The center of mass (COM) is a point in a system of particles or a continuous mass distribution where the total mass of the system can be considered to be concentrated for the purpose of analyzing motion. It is the balance point of the mass distribution, meaning that if a system were to be suspended at this point, it would remain in equilibrium.
The Certificate Management Protocol (CMP) is a protocol used for managing digital X.509 certificates, which are commonly used for securing communications in various security protocols, including Secure Sockets Layer (SSL)/Transport Layer Security (TLS) and Internet Protocol Security (IPsec). CMP is defined in several specifications by the Internet Engineering Task Force (IETF), notably RFC 4210.
Georges Destriau is known primarily for his work in the field of physics, particularly relating to the study of ionization and gas discharge phenomena. He is particularly noted for his contributions to the understanding of electrical discharges in gases and for his research related to the principles of gas ionization. One of his notable achievements is the development of a type of discharge known as the "Destriau discharge," which is characterized by specific electrical and physical properties.
Centrifuge casting, also known as centrifugal casting, is a manufacturing process used to create cylindrical parts or components with excellent material properties. This technique uses centrifugal force to distribute molten metal into a mold, typically resulting in a denser and more uniform structure. ### Key Features of Centrifuge Casting: 1. **Process Overview**: - A mold is placed on a rotating axis. - Molten metal is poured into the mold while it is spinning.
A variable cycle engine is a type of jet engine that can adjust its thermodynamic cycle in response to different flight conditions, improving performance across a range of operating scenarios. These engines are designed to optimize efficiency, thrust, and fuel consumption by adapting to the varying demands of flight, such as takeoff, cruise, and supersonic speeds.
Charalambos D. Aliprantis is a notable mathematician primarily recognized for his contributions to functional analysis and economics. He has published extensively in various mathematical fields, and his work often intersects with applications in economic theory. Aliprantis is also known for co-authoring the widely-used textbook "Finite Dimensional Analysis in Econometrics," which is a key resource in both mathematics and economics education. His research touches on topics such as real analysis, optimization, and theory in applied mathematics.

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