Gurzadyan theorem by Wikipedia Bot 0
The Gurzadyan theorem, proposed by the Armenian mathematician A. G. Gurzadyan, deals with a specific aspect of the geometry of circles. It states that if you have a circle and you consider its inscribed and circumscribed polygons, certain properties hold regarding their areas and relationships. One of the most notable implications of Gurzadyan's work is related to the properties of cyclic quadrilaterals and their area expressions.
The term "Representation Theorem" can refer to several concepts across various fields of mathematics, including functional analysis, probability theory, and economics. Here are a few notable examples: 1. **Representation Theorem in Functional Analysis**: In the context of functional analysis, one important representation theorem is the Riesz Representation Theorem. This theorem states that every continuous linear functional on a Hilbert space can be expressed as an inner product with a fixed element of the space.
The European Physical Journal D (EPJ D) is a peer-reviewed scientific journal that focuses on areas of research in quantum mechanics, statistical physics, condensed matter physics, and related topics. It is part of the larger European Physical Journal series, which publishes a variety of scientific journals covering different aspects of physics. EPJ D specifically emphasizes studies related to statistical physics, quantum information, nonlinear dynamics, and complex systems.
European windstorms refer to intense weather events characterized by strong winds, often associated with low-pressure systems that occur over the North Atlantic and affect parts of Europe, particularly the UK, Ireland, France, Germany, and Scandinavia. These storms can cause significant damage through high winds, heavy rainfall, and coastal flooding. The term "European windstorm" is commonly used to describe storms that reach a certain threshold of wind speed, typically classified based on the Beaufort scale or meteorological measurements.
Evan J. Crane by Wikipedia Bot 0
Evan J. Crane could refer to a specific individual, possibly someone notable in a particular field, but without additional context, it's difficult to determine who this might be. There might be various individuals with that name, and they could be involved in diverse areas such as academia, the arts, business, or other sectors.
Eva Ramstedt by Wikipedia Bot 0
Eva Ramstedt does not appear to be a widely recognized public figure, historical personality, or a prominent topic as of my last update in October 2021. It is possible that she could be a contemporary individual or private figure not covered in major media or literature, or someone who has gained prominence after that date.
An **evasive Boolean function** is a specific type of Boolean function that exhibits a particular behavior in terms of how it is evaluated or how many inputs need to be queried to determine its value.
Everyday Mathematics is a comprehensive mathematics curriculum developed by the University of Chicago School Mathematics Project (UCSMP). Designed for students from pre-kindergarten through grade 6, the program aims to teach mathematical concepts in a way that is relevant to everyday life. Key features of Everyday Mathematics include: 1. **Real-World Applications**: The curriculum emphasizes the application of mathematical concepts to real-life situations, helping students understand the relevance of math in their daily lives.
The evolution of language refers to the development and transformation of human language over time. This process involves changes in the structure, vocabulary, grammar, and usage of languages as they adapt to the needs of their speakers, cultural shifts, and interactions with other languages and societies. Understanding the evolution of language encompasses several key areas: ### 1. **Historical Linguistics** Historical linguistics studies how languages change over time.
The evolution of the biosphere refers to the historical development and changes in the Earth's biological life forms and ecosystems over geological time. It encompasses the processes through which life has emerged, diversified, and interacted with the environment, influencing both the biological and geological aspects of the planet. Here’s a brief overview of key stages and concepts in the evolution of the biosphere: 1. **Origin of Life**: The biosphere began with the emergence of simple life forms.
Excluded point topology is a specific kind of topology on a set where one specific point is excluded from the open sets of the topology. More formally, let \( X \) be a set and let \( x_0 \in X \) be a designated point. The excluded point topology on \( X \) consists of the following collection of open sets: 1. The empty set \( \emptyset \). 2. The entire set \( X \).
Executor is a software application primarily designed to enhance productivity and streamline workflows. It acts as a launcher and organizer, allowing users to quickly access files, applications, and various system functions. The software typically features functionalities such as: 1. **Application Launcher**: Users can launch applications, open files, or access system utilities quickly without navigating through the file system. 2. **Search Functionality**: Executor often includes search capabilities that enable users to find files and applications rapidly by typing keywords or phrases.
Exegetical neutrality refers to an approach in biblical interpretation that strives to remain impartial and objective when analyzing scriptural texts. The goal of exegetical neutrality is to minimize the influence of personal biases, theological presuppositions, or denominational perspectives on the interpretation process.
A glow plug is a heating device used in diesel engines (and some model engines) to assist in starting the engine. Unlike spark plugs, which ignite the air-fuel mixture with an electrical spark in gasoline engines, glow plugs use a heating element that gets very hot when electricity passes through it. This heat helps to preheat the air in the combustion chamber, making it easier to ignite the fuel when the engine is cranked.

Pinned article: ourbigbook/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 5. . 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.
  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