Johan Ludvig Heiberg (1791–1860) was a Danish historian, playwright, and literary figure. He was an influential figure in 19th-century Denmark and played a significant role in the cultural and intellectual life of his time. Heiberg is known for his contributions to historical writing, literature, and theater, often focusing on topics related to Danish history and culture. Heiberg was part of the Romantic movement and was associated with various literary and artistic circles.
Fuzzy Cold Dark Matter (FCDM) is a theoretical model in cosmology that seeks to address some challenges associated with cold dark matter (CDM) models, particularly at small scales. In the standard cosmological model, cold dark matter is envisioned as non-relativistic particles that interact only via gravity. Traditional CDM models have been successful in explaining large-scale structures of the universe, such as the distribution of galaxies and galaxy clusters.
A "dark-energy star" is a hypothetical astrophysical object that has been proposed in theories discussing the nature of dark energy, which is thought to be responsible for the accelerated expansion of the universe. In the context of these theories, dark-energy stars are envisioned as stellar objects that can exhibit properties influenced by dark energy, in contrast to ordinary stars that are primarily governed by electromagnetic and gravitational forces. The concept is largely theoretical and may involve exotic physics beyond the Standard Model of cosmology.
The Calorimetric Electron Telescope (CALET) is a scientific instrument designed to study high-energy cosmic rays, particularly electrons and gamma rays in the energy range from a few GeV (giga-electronvolts) up to several TeV (tera-electronvolts). It was launched to the International Space Station (ISS) in 2015 as part of a collaborative effort involving institutions from Japan, the United States, and Italy.
The term "dark star" can refer to a few different concepts in astrophysics, but it is primarily associated with theoretical stellar objects that are powered by dark matter interactions rather than by nuclear fusion, as normal stars are. ### Key Ideas: 1. **Definition**: A dark star is a hypothetical astronomical object that exists in the early universe, formed when dark matter, which does not interact electromagnetically (i.e.
Darkon, also referred to as "unparticles," is a theoretical concept in particle physics proposed by Howard Georgi in 2007. It suggests the existence of a new type of substance that does not behave like conventional particles. Instead of having a well-defined mass and charge, unparticles are thought to appear as a continuously distributed entity with scaling dimensions that resemble those of a field. The key feature of unparticles is their scale-invariance.
The Property of Baire is a significant concept in topology and real analysis, especially within the context of complete metric spaces and more general topological spaces. It is often used to distinguish between "large" and "small" sets in the context of Baire category theory. In informal terms, a topological space is said to have the **Property of Baire** if the intersection of countably many dense open sets is still a dense set.
The history of human-computer interaction (HCI) is a rich narrative that tracks the development of how humans interact with computers and the evolution of the technologies that facilitate these interactions. Here’s an overview of key milestones and developments in this field: ### 1950s - The Birth of Computing - **Mainframe Computers**: Early computers were large, expensive, and primarily operated by specialists using punched cards and batch processing. There were no direct interactions between users and computers.
A neutrino is a subatomic particle that is part of the Standard Model of particle physics. It is electrically neutral, has an incredibly small mass (which is still not precisely measured but is known to be much less than that of an electron), and interacts very weakly with other matter, meaning it can pass through ordinary matter almost undetected.
David Abrahams is a mathematician known for his contributions to various areas of mathematics, including topology and category theory. He is also notable for his work in the field of computer science, particularly in programming language design and the development of libraries and tools for software development. Abrahams has a background in both mathematics and computer science, and he is recognized for his research and publications in these fields.
Self-interacting dark matter (SIDM) is a theoretical alternative to the more commonly discussed weakly interacting massive particles (WIMPs) as a candidate for dark matter. The key feature of SIDM is that the particles making up dark matter can interact with each other through a force other than gravity, which is not the case for most traditional dark matter models.
Warm dark matter (WDM) is a theoretical form of dark matter that falls in energy and mass characteristics between cold dark matter (CDM) and hot dark matter (HDM). The primary distinctions among these categories relate to the speed of the particles and their thermal properties during the early universe.
The Harris functional, often referred to in the context of mathematical analysis and calculus of variations, is associated with a certain type of energy integral. It was introduced by the mathematician C. A. Harris in the context of studying minimal surfaces and surface area functionals. In simple terms, the Harris functional represents a mathematical tool used for characterizing energy configurations, particularly for problems involving surfaces or interfaces in variational calculus.
The history of web browsers is a fascinating journey through the evolution of the internet, starting from its early days in the late 1980s to the highly advanced browsers we use today. Here’s an overview of key milestones in the development of web browsers: ### 1. **The Early Days (1980s)** - **1989 – Tim Berners-Lee**: The World Wide Web was proposed by Tim Berners-Lee, who worked at CERN.
The notation \( L(R) \) can refer to various concepts depending on the context in which it is used. Here are a few possibilities: 1. **Linguistics**: In formal language theory, \( L(R) \) might represent the language generated by a grammar \( R \). Here, \( R \) could denote a specific grammar or generating mechanism, and \( L(R) \) consists of all strings that can be derived from that grammar.
"Works about the Digital Revolution" can refer to a variety of materials, including books, articles, documentaries, and films that examine the impact of digital technology on society, culture, and the economy. The Digital Revolution generally refers to the shift from analog to digital technology that began in the late 20th century and encompasses the rise of personal computers, the internet, smartphones, social media, and other digital innovations.
In mathematics, specifically in the field of algebra, a **locally nilpotent derivation** is a type of derivative operator that exhibits specific nilpotent properties when restricted to sufficiently small neighborhoods around points in a given space.
Huang's Law is an informal principle in the field of software engineering, particularly concerning the development of software systems and projects. Conceptually, it is often summarized by the phrase: **"You can have it good, fast, or cheap. Choose two."** This means that when trying to achieve a goal in software development, there are typically three competing constraints: quality (or goodness), speed (the pace of delivery), and cost (or budget).
Brahmagupta's problem is a famous problem in the field of mathematics, particularly in number theory. It originates from Indian mathematician Brahmagupta, who lived in the 7th century. The problem involves finding integer solutions to a specific type of quadratic equation. More specifically, Brahmagupta's problem can be framed as a question about representing numbers as sums of two squares.
Arithmetic problems of solid geometry involve calculations and analyses related to three-dimensional shapes and structures. These problems can include a variety of topics, such as the calculation of volumes, surface areas, and dimensions of solids. Here are some common types of arithmetic problems within solid geometry: 1. **Volume Calculations**: - Finding the volume of common solids such as cubes, rectangular prisms, cylinders, cones, spheres, and pyramids using their respective formulas.

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