The Gelfond–Schneider theorem is a fundamental result in transcendental number theory, established by Aleksandr Gelfond and Richard Schneider in the 1930s.
The term "Austrian relativity theorists" might be a bit ambiguous, as it doesn't refer to a widely recognized group or specific school of thought within the broader field of relativity.
The Edinburgh Parallel Computing Centre (EPCC) is a leading research center located at the University of Edinburgh in Scotland. Established in 1998, EPCC specializes in high-performance computing (HPC), parallel computing, and data-intensive research. It serves as a hub for collaboration between academic researchers and industry partners, promoting the advancement of computational techniques and technologies.
The Axiom of Countability is a principle in set theory that deals with the properties of countable sets. In the context of set theory, a set is considered countable if it can be put into a one-to-one correspondence with the set of natural numbers (i.e., it can be enumerated). Specifically, the Axiom of Countability generally refers to the notion that certain mathematical structures possess countable bases or countable properties.
A backdoor cold front is a meteorological term that describes a type of cold front that moves into an area from the east or northeast, rather than the typical west or northwest direction. This phenomenon is often associated with coastal regions, especially in the northeastern United States. The term "backdoor" implies that the cold air is intruding into a region from an unexpected direction. This can lead to a sudden drop in temperatures, especially in areas that were experiencing warmer conditions prior to the front's arrival.
Baltic amber is a type of fossilized tree resin that is primarily found in the Baltic Sea region, particularly in countries like Lithuania, Poland, and Russia. It is believed to have originated from the ancient coniferous trees of the Tertiary period, around 30 to 90 million years ago.
Barry Pennington could refer to different things depending on the context, but without additional details, it's unclear which specific Barry Pennington you are inquiring about. 1. **Individual**: It could refer to a person named Barry Pennington, who may be known in a specific field such as sports, academia, or business. 2. **Fictional Character**: It could be a character from a book, movie, or TV show.
Claude Berge is a prominent French mathematician known for his contributions to several fields, particularly in combinatorics, graph theory, and topology. Born on February 29, 1926, and passing away on September 26, 2020, he made significant impacts through various theoretical advances and concepts. One of Berge’s notable contributions is the development of Berge's Lemma and Berge's Theorem in graph theory, which are fundamental in the study of matchings in bipartite graphs.
Benny Sudakov is a prominent mathematician known for his contributions to various fields, including combinatorics, graph theory, and discrete mathematics. He has published numerous papers and is recognized for his work in areas such as extremal graph theory and probabilistic methods in combinatorics. He has also held academic positions at various institutions and has been involved in the mathematical research community.
Frank Ruskey is a mathematician known for his work in combinatorial and discrete mathematics. He is particularly recognized for his contributions to the fields of graph theory and topology, especially in relation to the study of knots and the enumeration of certain combinatorial structures. Ruskey has published numerous papers and has also been involved in developing mathematical software and algorithms.
George B. Purdy is known as a prominent figure in the field of education and academia, having made contributions to various subjects, particularly in the realms of mathematics and educational theory. However, specific context regarding his contributions or relevance may vary. If you are referring to something else or need more detailed information about a specific George B.
Silvia Heubach is a mathematician known for her work in the field of mathematics, particularly in combinatorics and graph theory. She is recognized for her contributions to the understanding of various mathematical structures and problems.
Zoltán Füredi is a mathematician known for his contributions to various areas of mathematics, particularly in combinatorics, discrete geometry, and graph theory. He has authored numerous research papers and has been involved in collaborative work within the mathematical community.
Shift space refers to a concept in the context of computing, programming, and sometimes in mathematical modeling. However, the term can have different meanings depending on the domain: 1. **In Programming/Software Development**: Shift space is commonly associated with the idea of manipulating data structures or managing user interface elements, especially in environments where the "shift" key is used to modify the actions of other keys or commands (for example, holding Shift while clicking to select multiple files).
A replacement product refers to an item that serves as a substitute for another product, typically when the original product is no longer available, has been discontinued, or has reached the end of its life cycle. Replacement products can also refer to improved versions or alternatives that fulfill the same function or purpose as the original product. In various contexts, replacement products may include: 1. **Consumer Goods**: A new model of a smartphone that replaces a previous model.
"Scrutinium Physico-Medicum" is a historical work by the German physician and natural philosopher Johann Georg Gmelin, published in the 18th century. The title translates to "Physical and Medical Examination" or "Physical and Medical Inquiry." Gmelin's work is notable for its exploration of various aspects of natural philosophy, medicine, and the intersection of these fields during the Enlightenment period.
A **Feedback Arc Set** (FAS) is a concept in graph theory that refers to a specific type of subset of edges in a directed graph (digraph). The purpose of a feedback arc set is to eliminate cycles in the graph. More formally, a feedback arc set of a directed graph is a set of edges such that, when these edges are removed, the resulting graph becomes acyclic (i.e., it contains no cycles).
Instant Insanity is a popular puzzle game that involves four cubes, each with faces of different colors. The objective of the game is to stack the cubes in such a way that no two adjacent sides have the same color when viewed from any angle. Each cube has six faces, and each face is painted in one of four colors. The challenge lies in the fact that the cubes can be rotated and positioned in various orientations, making it tricky to find a configuration that meets the color adjacency requirement.

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