Neil Robertson is a prominent mathematician known for his work in graph theory and combinatorics. He is particularly recognized for his contributions to the field of graph minors, a concept he developed along with his collaborator Paul D. Seymour. They are best known for the Robertson-Seymour theorem, a groundbreaking result that characterizes graph minor-closed properties through a structure theorem involving a well-defined family of graphs.
NEMA (National Electrical Manufacturers Association) connectors are a type of electrical plug and receptacle standardized by the NEMA organization to ensure safety and interoperability of electrical devices. These connectors are commonly used in North America for various applications, from household appliances to industrial equipment. NEMA connectors are categorized by a combination of letters and numbers, indicating their specific configurations, characteristics, and intended uses.
New Worlds Mission is a NASA initiative aimed at searching for potentially habitable exoplanets and studying their atmospheres to potentially identify signs of life. One of the key components of this mission involves the use of a spacecraft equipped with advanced technology, including a coronagraph that can block out the light from a star and allow for direct imaging and analysis of its surrounding planets. The mission aims to characterize the environment of these planets and understand their atmospheres, composition, and potential habitability.
Nonsynonymous substitution refers to a type of genetic mutation that leads to a change in the amino acid sequence of a protein. Specifically, it occurs when a single nucleotide change (mutation) in DNA results in the coding of a different amino acid in the protein that is produced. This is in contrast to synonymous substitutions, which do not alter the amino acid sequence due to the redundancy of the genetic code.
In the context of abstract rewriting systems, "normal form" refers to a state in which an expression (or term) cannot be rewritten or simplified any further according to the rules of the rewriting system. This means that no applicable rewrite rules can be applied to the expression to produce a different expression. ### Key Concepts: 1. **Abstract Rewriting Systems**: These involve a set of expressions (terms) and a set of rewrite rules that describe how one expression can be transformed into another.
A Foster cage is a type of enclosure commonly used in biological research and veterinary settings to house animals. Named after biologist John Foster, these cages are designed to provide a controlled environment for animals, often for purposes such as observation, experimentation, or breeding. Foster cages are typically made from materials that allow for easy cleaning, visibility, and airflow.
Advanced Systems Format (ASF) is a digital audio and video container format developed by Microsoft. It's primarily used for streaming media over the Internet and is designed to provide a level of abstraction that allows for efficient streaming of multimedia content. The format is part of Microsoft's Windows Media framework and is often associated with Windows Media Player. Key features of ASF include: 1. **Streaming Capabilities**: ASF is optimized for streaming, allowing for continuous playback of multimedia files without needing to download the entire file first.
A **regular graph** is a type of graph in which every vertex has the same number of edges. This common degree is known as the **degree** of the regular graph. There are two main types of regular graphs: 1. **k-regular**: A graph is k-regular if every vertex has exactly k edges. For example: - A 1-regular graph consists of disjoint edges (pairs of vertices).
A matched filter is a signal processing technique used to maximize the signal-to-noise ratio (SNR) when detecting a known signal in the presence of noise. It is particularly useful in situations where the signal is embedded in a noisy environment, such as in radar, communications, and image processing. ### Key Concepts 1. **Purpose**: The primary purpose of a matched filter is to identify the presence of a specific signal shape (or template) within a received noisy signal.
Complete orthogonal decomposition is a mathematical concept related to the representation of vectors in a vector space, particularly concerning inner product spaces. It is essentially a way of breaking down a vector into orthogonal components, providing a clear structure to understand and work with vectors and subspaces. ### Key Components of Complete Orthogonal Decomposition 1.
GotoBLAS is an optimized implementation of the Basic Linear Algebra Subprograms (BLAS) library, which provides routines for performing basic vector and matrix operations. Developed by Kazushige Goto, GotoBLAS was designed to improve the performance of these operations on modern processors by leveraging advanced features such as vectorization and cache optimization.
Hypre is a software package that provides a collection of high-performance preconditioners and solvers for large, sparse linear systems of equations, particularly those arising from the discretization of partial differential equations (PDEs). It is designed to be efficient for use on modern parallel computing architectures, including multicore processors and distributed memory systems.
Metalearning, in the context of neuroscience, refers to the processes and mechanisms involved in learning about learning. It encompasses the ability to understand, evaluate, and adapt one's own learning strategies and processes. This concept is often discussed in both educational psychology and cognitive neuroscience, where it is understood as an essential component of self-regulated learning.
Nuclear energy in Russia plays a significant role in the country's energy strategy and is a key component of its energy mix. Here's an overview: ### Overview of Nuclear Energy in Russia 1. **Historical Context**: Russia has a long history in nuclear energy, dating back to the early days of nuclear research in the mid-20th century. The Soviet Union was a pioneer in nuclear technology, producing its first electricity from a nuclear reactor in the late 1950s.
The term "recursive islands and lakes" typically refers to a problem often encountered in computer science, particularly in the fields of algorithms and data structures. It usually involves identifying and counting distinct "islands" in a grid (or a 2D array), where the islands are formed by connected "land" cells (usually represented by some value, like 1) and are surrounded by "water" cells (represented by another value, like 0).
Microsoft Plus! was a series of enhancement packages for various Microsoft operating systems, primarily aimed at improving the user experience through additional features, themes, and multimedia options. Initially launched in the 1990s, it started with Windows 95 and included various utilities, games, desktop enhancements, and additional tools that enhanced the functionality and aesthetics of the operating system. Some versions of Microsoft Plus!
MSXML, or Microsoft XML Core Services, is a set of services that allows applications to work with XML (Extensible Markup Language) documents. Developed by Microsoft, MSXML provides a range of tools and APIs that enable developers to easily parse, validate, and manipulate XML data in their applications. Key features of MSXML include: 1. **XML Parsing**: MSXML can parse XML documents, allowing applications to read and interpret the structure and content of XML data.
Don Eigler is an American physicist and a leading figure in the field of nanotechnology and atomic-scale manipulation. He is best known for his work at IBM's Almaden Research Center, where he famously demonstrated the ability to manipulate individual atoms using a scanning tunneling microscope (STM). In 1989, Eigler and his team created the first-ever arrangement of individual atoms to spell out the letters "IBM," showcasing the potential for precise control at the atomic level.
As of my last knowledge update in October 2023, "Benjamin Lax" does not appear to refer to a well-known public figure, concept, or entity. It is possible that he is a private individual or a figure that has gained some recognition after that date.

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