A non-inertial reference frame is a type of reference frame that is accelerating or rotating, meaning that it is not in a state of uniform motion. In a non-inertial frame, objects can behave in ways that are not consistent with Newton's laws of motion unless additional forces (called "fictitious" or "pseudo" forces) are taken into account.
A non-radiative dielectric waveguide is a type of optical waveguide that confines light through total internal reflection without the emission of radiative energy. In these waveguides, light travels through a dielectric (non-metallic) material, typically glass or a polymer, and is confined to the waveguide structure rather than radiating out into the surrounding medium.
The term "nonribosomal code" generally refers to the process by which nonribosomal peptides and other biomolecules are synthesized without the involvement of ribosomes, which are the cellular machinery primarily responsible for protein synthesis through the translation of mRNA. In contrast to the ribosomal code, which is based on the triplet codon system that translates nucleic acid sequences into proteins, nonribosomal synthesis occurs through a different mechanism.
In functional analysis, the concept of a normal cone is often discussed in the context of nonsmooth analysis and convex analysis. A normal cone is a geometric structure associated with convex sets that describes certain directional properties and constraints at a boundary point of the set.
The Calculus of Communicating Systems (CCS) is a formal framework used in computer science for modeling and analyzing concurrent systems, particularly systems that involve communication between components. Introduced by Robin Milner in the 1980s, CCS provides a mathematical structure for reasoning about the behavior of systems where multiple processes operate simultaneously and may interact with each other through message passing.
The dot product, also known as the scalar product, is a mathematical operation that takes two vectors and returns a single scalar (a real number). It is used extensively in geometry, physics, and various fields of engineering.
In mathematics, a scalar is a single number used to measure a quantity. Scalars are often contrasted with vectors, which have both magnitude and direction. Scalars can represent various quantities such as temperature, mass, energy, time, and speed, among others. Some key characteristics of scalars include: 1. **Magnitude Only**: Scalars have only magnitude; they do not have a direction associated with them.
Tricomi–Carlitz polynomials are a class of polynomials that arise in the study of $q$-analogues in the context of basic hypergeometric series and combinatorial identities. They are named after the mathematicians Francesco Tricomi and Leonard Carlitz, who studied these polynomials in relation to $q$-series. These polynomials can be defined through various generating functions and properties related to $q$-binomial coefficients.
A dipole graph is a specific type of graph used in physics and mathematics to represent a system featuring two opposing charges or poles, typically illustrated in the context of electric or magnetic fields. In the context of electrostatics, for example, a dipole consists of two point charges of equal magnitude and opposite sign separated by a distance.
The Ellingham-Horton graph is a thermodynamic reference tool used in metallurgy and materials science. It provides a visual representation of the standard free energy changes (ΔG) of various metal oxides as a function of temperature. Named after the researchers Sir Harold Ellingham and J. H. Horton, the graph is primarily used to analyze the stability of metal oxides and their tendency to reduce (or be reduced to their elemental form) at given temperatures.
A Livingstone graph is a type of mathematical graph used in the field of graph theory, specifically in relation to the study of networks and topological structures. It is named after the mathematician William Livingstone, though the term may not be widely recognized in all mathematical literature. Livingstone graphs are characterized by certain properties unique to their structure, often being studied for their applications in biology, chemistry, and network design.
A Moore graph is a special type of undirected graph that has particular properties related to its diameter, degree, and the number of vertices. Specifically, a Moore graph is defined as a regular graph of degree \( k \) with diameter \( d \) that has the maximum possible number of vertices for those parameters.
A supply chain refers to the entire system of organizations, people, activities, information, and resources involved in the production and delivery of a product or service from suppliers to customers. It encompasses all stages of a product's lifecycle, including sourcing raw materials, manufacturing, transportation, warehousing, and distribution. Key components of a supply chain include: 1. **Suppliers**: Provide the raw materials or components needed for production. 2. **Manufacturers**: Transform raw materials into finished goods.
RFPolicy can refer to various concepts depending on the context in which it is used, and it may not correspond to a single, widely recognized term. However, it is often associated with "Radio Frequency Policy" or policies related to radio frequency allocations and management, particularly in telecommunications and broadcasting. 1. **Radio Frequency Policy**: This refers to the regulatory framework governing the use of radio frequencies for various applications, including telecommunications, broadcasting, and wireless communications.
In signal processing, normalized frequency is a dimensionless quantity that provides a way to express frequency in a scaled form relative to a reference frequency. Normalization helps simplify the analysis and comparison of signals, especially in contexts like digital signal processing, filter design, and system analysis.
A **normal number** is a real number whose individual digits, and in broader terms, digits of any base, are uniformly distributed. More formally, a number is said to be normal in base \( b \) if, in its expansion in that base, all digits from \( 0 \) to \( b-1 \) appear with equal frequency in the limit as you consider more and more digits.
Norman Feather is best known as a psychologist and researcher who has contributed to the fields of social psychology and the study of attitudes, motivation, and consistency in human behavior. One of his notable contributions is the development of the "Feather's Theory of the Need for Achievement," which explores how personal motives influence people's attitudes and decisions in various contexts.
The norm of reciprocity is a social principle or norm that suggests that individuals are more likely to respond to positive actions with positive actions and to negative actions with negative ones. In essence, it is the idea that people feel a social obligation to return favors, gifts, or acts of kindness they receive from others. This norm plays a significant role in building social relationships and cooperation, as it encourages mutual support and balance in interpersonal exchanges.
The North American Maglev Transport Institute (NAMTI) is an organization focused on promoting and advancing magnetic levitation (maglev) transportation technology in North America. Maglev trains use powerful magnets to lift and propel vehicles at high speeds, offering a potentially more efficient and faster alternative to traditional rail systems. NAMTI aims to facilitate research, development, and deployment of maglev systems, collaborating with governmental, educational, and industrial partners.
Not-All-Equal 3-Satisfiability (NAE-3-SAT) is a variation of the standard 3-Satisfiability (3-SAT) problem in the field of computational complexity and logic. In general, the 3-SAT problem involves determining whether there is an assignment of truth values to variables in a boolean formula written in conjunctive normal form (CNF), such that the entire formula evaluates to true.

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