A polycube is a three-dimensional geometric shape formed by joining several cubes together along their faces. These shapes can take various forms and configurations, depending on how the cubes are arranged. Polycubes can be considered a three-dimensional analog of polyominoes, which are shapes formed by connecting squares in two dimensions. Polycubes are often studied in mathematics and computer science for their properties and applications, including in fields like combinatorial geometry, topology, and even in puzzle design.
Peter Guttorp is a notable figure known for his contributions to the field of statistics, particularly in the area of environmental statistics and time series analysis. He has been involved in various academic and research activities and has published numerous papers in statistical methodologies. Additionally, he has served in academic positions and has been influential in the development of statistical theory and its applications.
Robin Plackett is not a widely recognized term or name in popular culture, literature, or notable figures. It could possibly refer to a person who is not well-known or publicized, or it may be a fictional character in a specific context that hasn't gained mainstream attention.
The Arab Institute for Training and Research in Statistics (AITRS) is an organization aimed at enhancing statistical capabilities and promoting the use of statistical methods and data across Arab countries. Established to respond to the growing needs for reliable data and statistical analysis in various sectors, AITRS focuses on training professionals, researchers, and government officials to advance their skills in statistics and data analysis. It provides a range of training programs, workshops, and courses covering different areas of statistics, data collection, analysis, and interpretation.
The Instituto de Estadística y Cartografía de Andalucía (IECA) is a governmental institution in Andalusia, Spain. Its primary functions include the production, analysis, and dissemination of statistical data, as well as the creation and management of cartographic resources. The IECA plays a crucial role in providing reliable statistical information that supports regional planning, policy-making, and decision-making processes in various sectors such as economics, demographics, and social issues.
A galactic superwind is a large-scale outflow of gas and other materials from a galaxy, predominantly caused by various energetic processes related to star formation and supernova explosions. These outflows are typically observed in starburst galaxies, where intense star formation occurs, and play a crucial role in the galaxy's evolution and environment.
Helioseismology is the study of the structure and dynamics of the Sun through the observation of waves propagating within it. By analyzing these oscillations, which are caused by various types of waves (acoustic, gravity, and surface waves), scientists can gain insights into the Sun's internal structure, including temperature, density, and composition.
F-theory is a theoretical framework in string theory that generalizes the concept of strings to include two-dimensional surfaces, known as "branes," in a higher-dimensional space. It was first proposed by theorist Cumrun Vafa in the mid-1990s and is particularly useful in studying certain aspects of quantum gravity and unification of forces.
The Von Neumann Universal Constructor is a theoretical concept proposed by mathematician and computer scientist John von Neumann in the context of cellular automata and self-replicating systems. It refers to a hypothetical machine or system that can create copies of itself given the right resources and environment. In the original context, von Neumann was exploring how self-replicating organisms might function and how this could be modeled mathematically.
The Statue of Liberty in Oklahoma City is a lesser-known replica of the original Statue of Liberty located in New York City. This particular statue is located in the city's Bricktown district and serves as a symbol of freedom and democracy. It was placed in the area to commemorate the important historical and cultural connections between the United States and France. The statue adds a touch of patriotic spirit to the city and is often visited by both locals and tourists.
SUDO-Q is a framework designed for the rapid development and evaluation of quantum algorithms. It combines various techniques and methods to facilitate the simulation, testing, and optimization of quantum algorithms on classical and quantum computers. The term SUDO-Q may also refer to specific tools or platforms within the realm of quantum computing that involve the use of quantum programming languages, simulation environments, and performance metrics for evaluating quantum algorithm efficiency.
The "plethystic exponential" is a concept from the area of algebraic combinatorics, particularly in the study of formal power series and symmetric functions. It is a specific operation that acts on symmetric functions and is particularly related to the theory of plethysm.
"Lucida" can refer to several things, depending on the context: 1. **Lucida Fonts**: A family of typefaces designed by Charles Bigelow and Kris Holmes. The Lucida font family includes various styles such as Lucida Grande, Lucida Sans, and Lucida Serif, and is known for its readability and clarity, making it popular for both print and digital applications.
Friedman's SSCG (Stochastic Simulation and Control Game) function is a concept used in the context of economics and decision theory, particularly related to dynamic programming and optimal control. The SSCG function is often utilized to model and analyze strategic interactions and decisions under uncertainty. The exact formulation of the SSCG function can vary, but it typically involves aspects of stochastic processes, where outcomes depend not only on the current state and action but also on random events that can influence future states.
The Petersen–Morley theorem is a result in graph theory that concerns the structure of certain types of graphs. It states that for every sufficiently large graph, if it contains no complete subgraph \( K_n \) of size \( n \), then the graph can be colored with \( n-1 \) colors such that no two adjacent vertices share the same color. The theorem is particularly relevant when discussing the properties of planar graphs and colorability.
Jørgensen's inequality is a result in the field of functional analysis, particularly concerning the relationships between norms in Banach spaces. Specifically, Jørgensen's inequality pertains to the estimates of certain linear operators and is often discussed in the context of submartingales, Brownian motion, and processes in probability theory.
The Thom conjecture, proposed by mathematician René Thom in the 1950s, relates to topology and singularity theory. Specifically, it concerns the structure of non-singular mappings between manifolds and the conditions under which certain types of singularities can occur. The conjecture asserts that every real-valued function defined on a manifold can be approximated by a function that has a certain type of "generic" singularity.
Ribet's theorem is a fundamental result in number theory related to the Taniyama-Shimura-Weil conjecture, which is a key element in the proof of Fermat's Last Theorem. The theorem, proved by Ken Ribet in 1986, establishes a crucial connection between elliptic curves and modular forms.
The Bing metrization theorem is a result in the field of topology, specifically in the area concerning the metrization of topological spaces. It provides a condition under which a topological space can be given a metric that generates the same topology. Formulated by the mathematician R. Bing in the mid-20th century, the theorem states that if a topological space is second countable and Hausdorff, then it can be metrized.

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