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.
Norwegian nuclear physicists are scientists from Norway who specialize in the study of nuclear physics, which focuses on the components and behavior of atomic nuclei. This field encompasses various subjects, including nuclear structure, nuclear reactions, radioactivity, and applications of nuclear technology, such as nuclear energy and medical imaging. Norway has contributed to nuclear physics through research institutions, universities, and collaborative projects.
A Perkel graph is a special type of graph used in the study of graph theory and combinatorial designs. It is defined based on a recursive structure. Specifically, a Perkel graph is constructed from an initial set of vertices and uses certain rules to add edges based on the properties of those vertices.
The Schläfli graph is an interesting and well-studied graph in the field of graph theory, particularly in relation to polyhedra and higher-dimensional polytopes. It is defined as the graph whose vertices correspond to the regular polyhedra (in 3D) and regular polytopes (in higher dimensions), and where edges connect pairs of polyhedra that share a common face.
A table of simple cubic graphs provides a list of cubic graphs, which are graphs where every vertex has a degree of exactly 3 (i.e., each vertex is connected to exactly three edges). Simple cubic graphs have no loops or multiple edges between the same pair of vertices. These graphs are also known as 3-regular graphs. A common way to organize and present simple cubic graphs is by their number of vertices (usually denoted as \( n \)).
A triangle graph, often referred to in the context of graph theory, can denote different concepts based on context, but generally it refers to a type of graph structure that contains a specific relationship resembling triangles. 1. **Triangle in Graph Theory**: In a general mathematical graph, a triangle is a complete subgraph consisting of three vertices, where each vertex is connected to the other two. This means there are three edges that form a triangle shape.
Dune is an open-source build system used primarily in the OCaml programming language ecosystem. It streamlines the process of building projects written in OCaml and ReasonML, providing developers with a more efficient way to manage dependencies, compile code, and create project structures. Dune automates many tasks associated with building projects, such as dependency resolution, managing multiple source files, and generating necessary build configurations.
ILNumerics is a numerical computing library designed for .NET environments, particularly useful for data science and scientific computing applications. It provides a range of functionalities for handling complex mathematical operations efficiently, including support for multi-dimensional arrays, linear algebra, numerical optimization, and data visualization. Key features of ILNumerics include: 1. **Performance**: ILNumerics is optimized for high-performance computations, leveraging the capabilities of .NET and native code, often using optimized libraries for linear algebra and numerical computations.
A Data Analytics Library refers to a collection of tools, functions, and methods designed to facilitate the analysis of data. These libraries provide programmers and data scientists with the necessary functions to manipulate, analyze, and visualize data efficiently. Common features of data analytics libraries include: 1. **Data Manipulation**: Functions for cleaning, transforming, and aggregating data, such as filtering, grouping, and merging datasets.
The Gauss-Seidel method is an iterative technique used to solve a system of linear equations of the form \(Ax = b\), where \(A\) is a matrix, \(x\) is the vector of unknowns, and \(b\) is the output vector. This method is particularly useful for large systems where direct methods like Gaussian elimination might be computationally expensive.
Interpolative decomposition is a mathematical technique used primarily in numerical linear algebra and data analysis. It refers to a method for approximating a matrix or a function through a structured representation that allows for efficient storage and computation. The basic idea is to express a given matrix \( A \) in terms of a combination of its columns, specifically using a set of basis columns (also known as an interpolation or anchor set).
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





