P-groups, or *p-groups*, are a specific type of group in the field of abstract algebra, particularly in the study of group theory. A group \( G \) is classified as a p-group if the order (the number of elements) of the group is a power of a prime number \( p \). Formally, this can be expressed as: \[ |G| = p^n \] for some non-negative integer \( n \).
Chemical quantities refer to measurements used to describe the amount of a substance in a chemical reaction or a chemical system. These quantities are an essential part of stoichiometry, which is the calculation of reactants and products in chemical reactions. Key concepts related to chemical quantities include: 1. **Moles**: The mole is the fundamental unit in chemistry that quantifies the amount of a substance. One mole of any substance contains approximately \(6.
A ceiling rose, also known as a ceiling medallion or chandelier rose, is a decorative element that is typically mounted on the ceiling and serves as a visual focal point. It is often placed directly beneath a hanging light fixture, such as a chandelier, but can also be used for other types of lighting. Ceiling roses come in various designs, sizes, and materials, including plaster, plastic, and wood.
Gaullism is a political ideology and movement associated with Charles de Gaulle, the French military leader and statesman who played a pivotal role in the history of France during and after World War II.
Theorems regarding stochastic processes are mathematical results that describe the behavior, properties, and characteristics of stochastic processes, which are systems that evolve over time with randomness. Here are some important theorems and concepts in the study of stochastic processes: 1. **Markov Property**: A stochastic process satisfies the Markov property if the future state of the process depends only on the present state and not on the past states.
Aizuchi (相槌) is a Japanese term that refers to the practice of using verbal and non-verbal cues to show that one is listening and engaged in a conversation.
Characterization of probability distributions involves identifying the specific properties or features that define a particular statistical distribution. These characteristics provide a way to distinguish one distribution from another and can also help in the estimation or inference of the underlying random variables. Here are some fundamental aspects involved in the characterization of probability distributions: 1. **Moments**: Moments are expected values of powers of a random variable.
Harmonic functions are a special class of functions that arise in various fields, including mathematics, physics, and engineering.
Audio feedback is a phenomenon that occurs when sound generated by a microphone or a similar audio input device is picked up again by the same device or by other nearby microphones, creating a loop of sound. This typically happens in live sound environments, such as concerts or public speaking events, where a microphone amplifies audio from a loudspeaker. When the amplified sound is captured again by the microphone, it results in a continuous loop, which can produce a high-pitched screech or howl.
Klaus Matthes may refer to multiple individuals, but there is no widely recognized or prominent figure by that name in public knowledge as of my last update in October 2023.
"Tube sound" refers to the characteristic audio quality produced by vacuum tube amplifiers, widely used in music production and amplification, particularly in electric guitars and high-fidelity audio systems. Tube amplifiers use vacuum tubes (also known as thermionic valves) to amplify audio signals, and they are known for creating a warm, rich, and pleasing sound.
Arrow types are a concept in programming, particularly in functional programming and type theory. They can be thought of as a way to generalize functions and represent computations. An arrow is often used to describe computations that have an input-output relation but can also include additional structure, such as the ability to combine or sequence computations.

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