A Crookes tube is an early type of vacuum tube that played a pivotal role in the development of modern electronics and our understanding of electricity and radiation. Invented by the British scientist William Crookes in the late 19th century, it consists of a sealed glass tube from which most of the air has been removed, creating a vacuum. The tube typically has two electrodes: a cathode (negative electrode) and an anode (positive electrode).
A Hydrargyrum medium-arc iodide lamp, commonly known as an HMI (Hydrargyrum Medium-Arc Iodide) lamp, is a type of high-intensity discharge (HID) lamp that produces a bright, white light. These lamps use a combination of mercury (hydrargyrum is the Latin name for mercury) and halide salts, specifically iodine, to generate light.
Luminous discharge tubes are devices that produce light through electrical discharge in a gas-filled tube. These tubes typically contain low-pressure gas, such as neon, argon, or other noble gases, which emit light when an electrical current is passed through them. The light is produced as electrons collide with the gas atoms, exciting them and causing them to release photons when they return to their ground state.
An Ultra-high-performance lamp, often referred to as UHP lamp, is a type of high-intensity discharge (HID) lamp that is primarily used in advanced projectors, especially in home cinema, commercial projection, and some specialized lighting applications. UHP lamps are known for their high brightness, excellent color rendering, and relatively long life compared to other types of bulbs.
Aluminum chloride hexahydrate, with the chemical formula AlCl₃·6H₂O, is a hydrated form of aluminum chloride. It consists of one aluminum ion (Al³⁺) and three chloride ions (Cl⁻), combined with six water molecules. This compound is typically a white or colorless crystalline solid. ### Properties: - **Molecular Weight:** Approximately 241.
Matsushima's formula is used in the field of celestial mechanics and astrophysics, particularly in the context of estimating the gravitational influence of celestial bodies on the orbits of other objects. It provides a way to calculate the potential influence of a source mass on the motion of surrounding objects. The formula is often expressed in terms of the gravitational potential or force acting on an object due to a celestial body, taking into account both the mass of the body and its distance from the object in question.
The moment-generating function (MGF) is a mathematical tool used in probability theory and statistics to characterize the distribution of a random variable. It is defined as the expected value of the exponential function of the random variable.
A Fisher market is a concept from economics, particularly in the field of market design and game theory, named after the economist, John Fisher. It typically refers to a model in which goods are allocated among several agents (consumers) based on their preferences and budget constraints. The Fisher market model provides a way to understand how prices can adjust in response to demand and supply to achieve an efficient allocation of resources.
Generating function transformation refers to a mathematical technique used in combinatorics and related fields that involves the use of generating functions to study sequences, count combinatorial objects, or solve recurrence relations. A generating function is a formal power series in one or more variables, where the coefficients of the series correspond to terms in a sequence. ### Types of Generating Functions 1.
As of my last knowledge update in October 2021, Jean Dickey was not a widely recognized public figure, and there may not be significant information available about that name in general. It's possible that there have been developments or news regarding a person named Jean Dickey since then, or that Jean Dickey refers to a less prominent individual.
The Burali-Forti paradox is a set-theoretical paradox that arises in the context of ordinal numbers. It was discovered by the Italian mathematician Cesare Burali-Forti in 1897. The paradox demonstrates a contradiction that arises when attempting to construct the set of all ordinals. In brief, the paradox proceeds as follows: 1. **Definition of Ordinals**: Ordinal numbers are a generalization of natural numbers used to describe the order type of well-ordered sets.
Cambridge Analytica was a political consulting firm that gained notoriety for its use of data analytics and psychological profiling in political campaigns. Founded in 2013, the company was a subsidiary of the SCL Group, which specialized in military and behavioral psychology. Cambridge Analytica became widely known for its role in the 2016 U.S. presidential election, where it worked on behalf of Donald Trump's campaign.
CFR-600 refers to a set of regulations established by the U.S. Environmental Protection Agency (EPA) concerning the testing and certification of energy consumption and efficiency for motor vehicles. Specifically, it is part of Title 40 of the Code of Federal Regulations (CFR), Section 600, which pertains to fuel economy and emissions testing protocols.
Carol Cleland is a philosopher known for her work in the philosophy of science, particularly concerning issues related to the nature of scientific explanation, the philosophy of biology, and the properties of life. She has contributed to discussions on the definition of life, the criteria for determining what constitutes a living organism, and how to distinguish between biological and non-biological processes. Additionally, Cleland has worked on topics like the role of scientific models and the implications of scientific discoveries for our understanding of the natural world.
Radha Laha, which stands for Radha Laha Sound, is an audio technology platform. It features soundscapes designed to create immersive listening experiences, often inspired by nature or spirituality. The concept of Radha Laha is deeply connected to the cultural significance of Radha, a figure in Hinduism revered for her beauty and her association with love and devotion, particularly in relation to Lord Krishna.
Georges Canguilhem (1904–1995) was a French philosopher and historian of science, best known for his contributions to the philosophy of biology and medicine. He is celebrated for his work on the concepts of life, health, illness, and the epistemological foundations of the biological sciences. Canguilhem is particularly noted for his claim that the concept of health must be understood in the context of individual variability and capacities rather than as a fixed norm.
The Centre for Underground Physics (CUP) in Pyhäsalmi, Finland, is a research facility dedicated to conducting studies in various fields of physics, particularly in areas like particle physics, astroparticle physics, and underground astrophysics. The facility is situated in a former copper mine, which provides a unique environment for scientific experiments, as the underground location helps shield sensitive detectors from cosmic radiation and other background noise that can interfere with measurements.
Diplacusis is a auditory phenomenon in which a person perceives a single sound as being divided into two distinct sounds, often with a disparity in pitch or tone. This can occur in one ear or both ears and is typically related to issues with the auditory system, such as damage to the cochlea or auditory nerve. Individuals with diplacusis might hear the same musical note or sound at slightly different frequencies or tones, leading to a confusing or disorienting auditory experience.
Charles Renouvier (1815–1903) was a French philosopher and a prominent figure in the development of 19th-century French thought. He is best known for his work in the philosophy of free will, his critiques of determinism, and his contributions to neo-Kantianism. Renouvier was a strong advocate for the concept of free will and emphasized the importance of individual autonomy in moral and philosophical contexts.
George William Hill (1838-1914) was a prominent British astronomer and mathematician known for his work in celestial mechanics. He is best known for the development of the Hill equations and contributions to the stability of the moon's motion among celestial bodies. His work laid important groundwork for the study of the motion of satellites and the mathematical principles governing their orbits.

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