In topology, a space is called a **collectionwise normal space** if it satisfies a certain separation condition involving collections of closed sets.
"Door space" can refer to different concepts depending on the context. Here are a few possible interpretations: 1. **Architecture and Interior Design**: In this context, door space might refer to the area around a door, including the clearance required for the door to open and close without obstruction. This space is important for both functional and aesthetic reasons, ensuring that doors can operate smoothly and that the space looks cohesive.
"Rot-proof" refers to materials or products that are resistant to decay and deterioration caused by mold, fungi, and moisture. This term is often used in the context of construction materials, textiles, and outdoor products. For instance, rot-proof wood is treated or engineered to withstand the effects of moisture and pests, making it suitable for outdoor use in environments where it might be exposed to water or humidity.
Corentin Louis Kervran (1901–1993) was a French biologist and researcher known for his unconventional ideas in the field of biology, particularly regarding the concept of biological transmutation. Kervran proposed that living organisms could transform one element into another through biological processes, challenging traditional views of chemistry and biology that adhere to the laws of conservation of mass. His theories garnered interest and some controversy, as they suggested that transmutation could occur within the context of biological systems.
George Woodward Warder was a significant figure in American history, primarily known for his contributions to the fields of botany and horticulture. He was born on January 29, 1815, and passed away on February 27, 1884. Warder is particularly noted for his work in plant taxonomy and for being a prolific author on topics related to trees and their cultivation.
Korte's third law of apparent motion, also known as Korte's law or the Korte effect, relates to the perception of motion in visual stimuli, particularly in the field of psychology and visual perception. The law suggests that when two stationary objects are presented in close temporal succession, the observer perceives the first object as having moved toward the second object. This phenomenon occurs due to the brain's interpretation of the timing and position of the objects, leading to a misperception of motion.
Tom Van Flandern was an American astronomer known for his work in the field of astrophysics and for his unconventional theories regarding celestial mechanics. He gained some notoriety for his ideas about dark matter and the structure of the universe, particularly in relation to the planets and moons in our solar system. Van Flandern is perhaps best known for proposing the "exploded planet hypothesis," which suggested that certain celestial bodies may have originated from the explosion of larger planets.
Adaptive Comparative Judgment (ACJ) is an assessment method primarily used in education to evaluate and compare student work or performance. It leverages the expertise of judges (such as teachers or industry professionals) who assess multiple pieces of work in relation to one another rather than against a fixed standard or rubric.
A "Donkey sentence" is a term used in linguistics to refer to a specific type of sentence that involves an indefinite pronoun and a specific reference that relies on context. The most famous example is the sentence: "Every farmer who owns a donkey beats it." In this example, "it" refers back to "a donkey," which is introduced by the indefinite article "a.
The basic hypergeometric series, also known as the \( q \)-hypergeometric series, is a generalization of the classical hypergeometric series. It involves parameters and is particularly important in various areas of mathematics, including combinatorics, number theory, and q-series.
Hooke's atom refers to a model in physics that is based on the concept of a particle or an atom interacting through a spring-like potential. The idea is inspired by Hooke's law, which states that the force exerted by a spring is proportional to the displacement from its equilibrium position, typically expressed as \( F = -kx \), where \( k \) is the spring constant, and \( x \) is the displacement.
In formal logic, a bounded quantifier is a type of quantifier that applies to a specific subset or range of a given domain rather than the entire domain. It constrains the scope of the quantification to a specified limitation, which is typically represented by a variable or set of variables. To understand bounded quantifiers, it's helpful to compare them to unbounded quantifiers.
Non-Hermitian quantum mechanics is a framework that extends traditional quantum mechanics, which is typically built on Hermitian operators. In standard quantum mechanics, observables are represented by Hermitian operators on a Hilbert space, ensuring that measured values (eigenvalues) are real. However, in non-Hermitian quantum mechanics, certain operators that are not Hermitian are considered, leading to different interpretations and outcomes.
Ab initio multiple spawning (AIMS) is a computational method used in quantum chemistry and molecular dynamics to study the dynamics of quantum systems, particularly in situations where electronic states are coupled, such as in photochemical reactions or nonadiabatic processes. It combines concepts from the Born-Oppenheimer approximation and nonadiabatic dynamics, allowing for the simulation of complex processes involving multiple electronic states.
CNDO/2, which stands for **Complete Neglect of Differential Overlap, version 2**, is a semi-empirical quantum chemistry method used to approximate the electronic structure of molecules. It is part of the broader class of semi-empirical molecular orbital (MO) methods, which simplify the full quantum mechanical calculations by making certain approximations to reduce computational demands.
DMol3 is a computational chemistry software package used for molecular modeling and simulation, primarily based on density functional theory (DFT) and other quantum mechanical methods. It is part of the materials simulation suite of software developed by BIOVIA, which was formerly known as Accelrys. DMol3 allows researchers to perform calculations on molecular systems to study their electronic structure, molecular dynamics, and various properties.
Dirac is a versatile software framework designed primarily for the development, testing, and deployment of complex applications, typically in the fields of mathematical modeling, simulation, and data analysis. It is particularly known for its ability to manage dependencies and facilitate reproducibility in research environments.
Laser science is the study of lasers (Light Amplification by Stimulated Emission of Radiation) and their applications. A laser is a device that produces a coherent beam of light through the process of stimulated emission, where excited atoms or molecules release photons in a uniform direction. This results in light that is monochromatic (a single wavelength), coherent (light waves are in phase), and directional (focused in a narrow beam).

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