Slater's rules are a set of guidelines used in quantum chemistry and atomic physics to approximate the effective nuclear charge (\(Z_{\text{eff}}\)) experienced by an electron in a multi-electron atom. Developed by John C. Slater, these rules provide a way to account for the shielding effect that occurs due to the presence of other electrons in the atom.
A unit prefix is a verbal or written prefix that modifies a unit of measurement to denote a specific multiple or fraction of that unit. Unit prefixes are used in the International System of Units (SI) and other measurement systems to facilitate the expression of large or small quantities in a manageable form.
A sound suppression system refers to a technology or set of technologies designed to reduce or block sound transmission in various environments. This can pertain to both active and passive methods of sound control, and it is commonly utilized in several applications, including: 1. **Acoustic Panels and Insulation**: These are installed in buildings, studios, or other spaces to absorb sound energy and decrease noise levels, enhancing privacy and acoustic quality.
Source transformation is a technique utilized in circuit analysis, particularly in linear circuit theory, to simplify the analysis of electrical circuits. It involves converting a dependent or independent voltage source in series with a resistor into an equivalent current source in parallel with a resistor, or vice versa. ### Basic Concepts 1.
Christen Ager-Hanssen is a businessman and entrepreneur known for his involvement in various industries, particularly in media and technology. He has a background in management and investment, and has been associated with companies focusing on digital media, telecommunications, and innovation. Ager-Hanssen has also been involved in venture capital, supporting startups and emerging businesses. His entrepreneurial activities often emphasize a focus on digital transformation and the impact of technology on traditional business models.
Isopsephy is an ancient Greek system of assigning numerical values to letters, similar to gematria in Hebrew. In this system, each letter of the Greek alphabet corresponds to a specific number, and words or phrases can be calculated by adding the values of their constituent letters. This practice was often used in various forms of mysticism, numerology, and philosophy, as well as for finding hidden meanings in texts.
A square-free polynomial is a polynomial that does not have any repeated roots in its factorization over a given field or ring. In other words, if a polynomial is expressed in its factored form, none of the factors appear more than once. For example, consider the polynomial \( P(x) = x^2 - 2x \).
A "list of cycles" can refer to different concepts depending on the context in which it is used. Here are a few potential interpretations: 1. **Mathematics/Graph Theory**: In graph theory, a cycle is a path in a graph that starts and ends at the same vertex without traversing any edge more than once. A "list of cycles" could refer to all cycles present in a particular graph or network.
A "two-state trajectory" generally refers to a modeling approach used to analyze systems that can exist in one of two distinct states or conditions. This concept is often applied in various fields, including physics, economics, and biology, where systems can transition between two states. In physics, for instance, a two-state system might represent particles in a quantum state that can be either "spin up" or "spin down.
Tacticity refers to the arrangement of the polymer chains' repeating structural units in relation to one another, particularly in stereochemistry. It is a key concept in polymer science and chemistry that affects the physical properties of polymers. There are three main types of tacticity: 1. **Isotactic**: In isotactic polymers, all the substituent groups (or side chains) are on the same side of the polymer chain, leading to a regular and symmetrical structure.
The number 43,112,609 is a whole number that can be interpreted in various contexts depending on the question. Here are a few possible interpretations: 1. **Numerical Value**: It is simply the numerical value forty-three million, one hundred twelve thousand, six hundred nine. 2. **Mathematical Operations**: It can be used in various mathematical operations, like addition, subtraction, multiplication, or division.
Mathers' table, often referred to in the context of numerical methods and statistics, is a sequential set of computed values that facilitates the calculation of various statistical measures. In particular, it is commonly associated with the area under the normal distribution curve, helping statisticians and mathematicians quickly find the probabilities associated with standard normal deviations.
Volcanic eruptions can be categorized into several types based on their explosiveness, the nature of the eruptive materials, and the shape of the volcano. Here are the primary types of volcanic eruptions: 1. **Effusive Eruptions**: - Characterized by the outpouring of lava rather than explosive activity. - Lava flows steadily from a vent or fissure, creating broad, gently sloping volcanoes like shield volcanoes (e.g.
The UA6 experiment was a particle physics experiment conducted at CERN in the 1980s, specifically at the Intersecting Storage Rings (ISR). The main focus of the UA6 collaboration was to study hadron-hadron collisions, particularly the production of various particles and the interactions between protons and antiprotons. The experiment investigated aspects such as the properties of the strong force and the structure of hadrons, which are composite particles made of quarks.

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