Arrangement in the context of space partitioning refers to the way in which a geometric space is divided or partitioned based on a set of geometric objects, such as points, lines, or polygons. This partitioning can create distinct regions or cells within the space that can be analyzed or manipulated separately.
Posner's theorem is a result in the field of complex analysis, specifically related to the theory of holomorphic functions and value distribution. It addresses the behavior of holomorphic functions near their zeroes and is often relevant in the context of studying the distribution of values taken by these functions.
Ambiguity resolution refers to the process of clarifying and determining the intended meaning or interpretation of ambiguous information, language, or situations. Ambiguity can arise in various contexts, including natural language processing, linguistics, communication, mathematical expressions, and even in decision-making scenarios. 1. **In Natural Language Processing (NLP)**: Ambiguity resolution involves disambiguating words, sentences, or phrases that can have multiple meanings based on their context.
Geert Jan van Oldenborgh was a prominent Dutch climate scientist known for his work in climate data analysis and attribution studies. He was a senior researcher at the Royal Netherlands Meteorological Institute (KNMI) and made significant contributions to understanding how climate change affects extreme weather events. Van Oldenborgh was particularly noted for his work involving the use of statistical methods to assess the influence of human-induced climate change on specific weather events, such as heatwaves, floods, and storms.
Proof of Work (PoW) is a consensus mechanism used in blockchain networks to secure transactions and create new blocks in the blockchain. Its primary purpose is to prevent double spending and to ensure that network participants (nodes) agree on the correct version of the blockchain. Here are the key features of Proof of Work: 1. **Computational Effort**: In PoW, participants (miners) must solve complex mathematical problems that require significant computational power and energy.
Nalini Anantharaman is a prominent mathematician known for her contributions to several areas in mathematics, including spectral theory, automorphic forms, and number theory. She has made significant strides in understanding the connections between various mathematical disciplines, often emphasizing the interplay between analysis and number theory. Anantharaman has been involved in various academic pursuits, including teaching and mentoring students, and has contributed to the mathematical community through her research and publications.
Roberto Markarian is a notable figure in the fields of mathematics and physics, primarily recognized for his contributions to mathematical analysis, dynamical systems, and mathematical physics. He has focused on various topics, including the study of dynamical systems, ergodic theory, and their applications.
The term "reverse waterfall" can refer to various concepts depending on the context in which it is used. Here are a couple of interpretations: 1. **Project Management/Software Development**: In some contexts, particularly in agile methodologies, a "reverse waterfall" can refer to a non-linear approach to project development that contrasts with the traditional waterfall model. The waterfall model typically involves a linear, sequential design process where each phase must be completed before the next begins.
The Singing Stones of Brittany, also known as "Les Pierres Qui Chantent," refer to a group of prehistoric standing stones located in the region of Brittany, France. These stones are known for their unique acoustic properties, where they emit melodic sounds when struck or played upon. The phenomenon is attributed to the specific geological composition of the stones, which can resonate and produce sounds similar to musical tones.
StatCrunch is a web-based statistical software that provides tools for data analysis, visualization, and statistical computation. It is widely used in education, particularly in statistics and data science courses, to help students and researchers analyze data in an interactive and user-friendly environment. Key features of StatCrunch include: 1. **Data Analysis**: Users can upload their own datasets or use built-in datasets for analysis. It offers various statistical methods, including descriptive statistics, hypothesis tests, regression analysis, and more.
Switching tubes, also known as "control tubes" or "switching valves," refer to vacuum tubes or electronic devices used for switching applications. They can be a part of various circuit designs, primarily in older technologies, before the advent of solid-state transistors. In electrical engineering, switching tubes function similarly to modern transistors, allowing for the control of large amounts of power and voltage in electronic circuits.
Einstein–Hopf drag, also known simply as "Hopf drag," refers to a phenomenon in theoretical physics that arises in the context of general relativity and the motion of rotating masses. The term is often associated with the effects that a rotating mass has on the inertial frames of reference around it, particularly in relation to the way the rotation influences the motion of nearby objects.

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