A Dirichlet series is a type of infinite series of the form: \[ D(s) = \sum_{n=1}^\infty \frac{a_n}{n^s} \] where \( s \) is a complex variable, \( a_n \) are complex coefficients, and \( n \) ranges over the positive integers. The series converges for certain values of the complex variable \( s \) depending on the properties of the coefficients \( a_n \).
Radical honesty is a concept and practice developed by psychologist Brad Blanton in the 1990s. It advocates for complete honesty in communication and interactions with others, emphasizing the importance of expressing one's true feelings, thoughts, and experiences without filtering or concealing them. The idea is that by being radically honest, individuals can eliminate the emotional burdens of deception, misunderstandings, and societal expectations.
In the context of semiconductors, a "donor" refers to an atom or impurity that is introduced into a semiconductor material (typically silicon or germanium) to create n-type (negative-type) semiconductor material. When donor atoms, which typically have five valence electrons (such as phosphorus, arsenic, or antimony), are added to the semiconductor lattice, they donate one extra electron that is not needed for bonding with the surrounding silicon atoms.
The Global Drifter Program (GDP) is an international oceanographic initiative aimed at studying and monitoring ocean currents and related environmental conditions. It involves the deployment of drifting buoys, known as drifters, that float on the ocean's surface and are equipped with sensors to collect data on temperature, salinity, atmospheric pressure, and other oceanographic parameters.
Dwight Duffus does not appear to be a widely recognized public figure or concept based on the information available up to October 2023. It's possible that he could be a private individual, a regional personality, or a character from a lesser-known work.
Early Cambrian geochemical fluctuations refer to the significant changes in the chemical composition of Earth's oceans and atmosphere that occurred during the Early Cambrian period, which spanned from about 541 to 485 million years ago. This period is noted for the "Cambrian Explosion," a time of rapid diversification of life forms, particularly the evolution of many major groups of animals.
The Radium Dial Company was a significant entity in the early 20th century, primarily known for its production of luminous paint that contained radium. Founded in the 1920s, the company employed young women, often referred to as "radium girls," to paint watch dials and other instruments with this luminescent material. The paint glowed in the dark due to the inclusion of radium, which was highly regarded at the time for its bright and long-lasting luminescence.
The Global Meteoric Water Line (GMWL) is a key concept in hydrology and isotope geology. It represents the relationship between the stable isotopes of hydrogen (δ²H) and oxygen (δ¹⁸O) in natural water samples, particularly meteoric water (i.e., water that precipitates from the atmosphere, such as rain and snow).
Edward C. Stone is an American astrophysicist known primarily for his work in space science and his contributions to the study of the solar system and interstellar space. He played a significant role in several important NASA missions, including the Voyager missions, which provided groundbreaking insights into the outer planets and the heliosphere.
The Einstein Cross, also known as Q2237+030, is a fascinating astronomical phenomenon that exemplifies gravitational lensing. It consists of a distant quasar, which is a bright and active region around a supermassive black hole in a galaxy, and is positioned behind a foreground galaxy. The gravitational field of this foreground galaxy warps spacetime, causing the light from the quasar to be bent around it.
Bergman's diamond lemma is a result in the field of universal algebra, named after the mathematician I. N. Bergman. It is a tool used to study certain types of algebraic structures, particularly in the context of modules over a ring and in the theory of algebras. The lemma provides conditions under which certain kinds of "multiplications" can be approximately characterized by simpler forms, often involving a basis of sorts.
The alpha-4 beta-2 nicotinic acetylcholine receptor (α4β2 nAChR) is a type of receptor in the nervous system that responds to the neurotransmitter acetylcholine as well as nicotine, a substance found in tobacco. It is a subtype of the nicotinic acetylcholine receptor family, which are ligand-gated ion channels playing crucial roles in neurotransmission.

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