Etherington's reciprocity theorem is a result in the field of algebraic geometry and combinatorial mathematics, particularly concerning the enumeration of certain types of geometric configurations known as "dual graphs." The theorem provides a relationship between two different ways of counting the same geometric configuration, particularly relating to how certain properties transform under duality.
A "Wall plan" typically refers to a detailed layout or plan that indicates the design, placement, and dimensions of walls within a building or a specific area. It is often used in the context of architectural design and construction. Here are some key aspects of a wall plan: 1. **Blueprints or Drawings**: Wall plans are usually part of architectural blueprints or drawings that outline not just the layout of walls but also other structural elements like doors, windows, and built-in furniture.
Euclidean space is a fundamental concept in mathematics and geometry that describes a two-dimensional or higher-dimensional space where the familiar geometric and algebraic properties of Euclidean geometry apply. It is named after the ancient Greek mathematician Euclid, whose work laid the foundations for geometry. Here are some key characteristics of Euclidean space: 1. **Dimensions**: Euclidean space can exist in any number of dimensions. Commonly referenced dimensions include: - **1-dimensional**: A straight line (e.
Eudoxus of Cnidus (c. 408 – c. 355 BC) was an ancient Greek philosopher and mathematician, known primarily for his contributions to mathematics and astronomy. He was a student of Plato and made significant advancements in the study of geometry and the understanding of planetary motion. One of his notable contributions to mathematics is the method of exhaustion, a precursor to the integral calculus, which is used to find the area of shapes and volumes of solids.
Eugene D. Commins appears to be a name that may refer to various individuals, but without additional context, it's difficult to pinpoint a specific person or relevance. There are no widely recognized figures by that name in notable historical, scientific, or cultural contexts up to my last update in October 2023. If you can provide more details about who Eugene D.
Eugene P. Gross is primarily known as an American physicist and for his contributions to the field of physics, particularly in areas like quantum mechanics and theoretical physics. However, specific details about his work or biography might not be widely documented or available. It's possible that he is involved in academic research, and more information could be found through academic publications or resources related to his area of expertise.
The Comparison Theorem is a fundamental result in real analysis, particularly in the study of improper integrals and series. It is often used to determine the convergence or divergence of a given integral or series by comparing it to another integral or series whose convergence is known. There are two main contexts in which the Comparison Theorem is applied: for integrals and for series.
Euler's rotation theorem states that any rotation of a rigid body in three-dimensional space can be represented as a single rotation about a specific axis. This means that for any arbitrary rotation, it is possible to find an axis in space such that the body can be considered to have rotated around this axis by a specific angle. More formally, the theorem states that given any rotation defined by a rigid body transformation, there exists a unique axis of rotation and a corresponding angle of rotation about that axis.
EURO Advanced Tutorials in Operational Research is a series of educational resources and materials aimed at providing in-depth knowledge and insights into various areas of operational research (OR). OR is a field of study that uses mathematical modeling, statistical analysis, and optimization techniques to aid decision-making in complex systems across various domains, including logistics, finance, healthcare, and manufacturing. The EURO (Association of European Operational Research Societies) organization typically collaborates with leading experts in the field to develop these tutorials.
The European Federation of Organisations for Medical Physics (EFOMP) is a professional organization that represents the interests of medical physicists across Europe. Established to promote the practice and development of medical physics, EFOMP aims to improve the quality of healthcare through the application of physics and related sciences in medicine. EFOMP serves as a platform for collaboration among national organizations of medical physicists in various European countries.
The European Network for Accessible Tourism (ENAT) is an organization focused on promoting accessible tourism across Europe. It aims to improve access to tourism experiences for people with disabilities, seniors, and other groups with specific access needs. ENAT works to raise awareness about the importance of accessibility in the tourism sector, encourages the implementation of accessible practices, and shares best practices among its members.
The No Free Lunch (NFL) theorem is a concept in optimization and machine learning that states that there is no one-size-fits-all algorithm that is guaranteed to perform well on all possible problems. Instead, the performance of optimization algorithms is problem-dependent, meaning that an algorithm that works well for one class of problems may perform poorly on another.

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 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