Bernard Frénicle de Bessy (1610–1675) was a French mathematician known for his work in geometry and for being an early contributor to the field of combinatorics. He is particularly noted for his studies in the area of combinatorial geometry and for his investigations into polyhedra. Frénicle de Bessy is recognized for his work on the properties of geometric figures, including his exploration of their dimensional characteristics.
Elie Track is a scenic coastal path located in Elie, a village in Fife, Scotland. The track provides stunning views of the coastline, the North Sea, and the surrounding areas, making it popular for walkers and nature enthusiasts. The path is part of the wider Fife Coastal Path, which stretches for 117 miles and offers opportunities for hiking, birdwatching, and enjoying the natural beauty of the region.
C. T. C. Wall, also known as the Conformal Thin Shells in Cosmology Wall, is a framework used in cosmological models to study the effects of thin matter shells in the universe. This concept is often related to the study of gravitational collapse, structure formation, and the dynamics of cosmological phenomena.
Meike Akveld is a professional figure in the field of computer science and artificial intelligence. She is known for her contributions to research, particularly in the areas of machine learning and data science. Her work has often focused on the practical applications of AI and its implications in various industries.
Biconvex optimization refers to a class of optimization problems that involve a biconvex function. A function \( f(x, y) \) defined on a product space \( X \times Y \) (where \( X \) and \( Y \) are convex sets) is considered biconvex if it is convex in \( x \) for each fixed \( y \), and convex in \( y \) for each fixed \( x \).
Voice inversion is a method used to obscure or scramble audio signals, particularly in the context of communication systems. This technique is often employed to protect the privacy of conversations or to secure sensitive information. In practical terms, voice inversion involves altering the audio signal in such a way that it becomes unintelligible to anyone who intercepts it but can be easily reversed or decoded by the intended recipient with knowledge of the process.
As of my last knowledge update in October 2021, "Jakob Rosanes" does not refer to a widely recognized figure, concept, or term in mainstream discussions. It’s possible that he could be a private individual, a lesser-known public figure, or someone who has gained prominence after my last update.
James McKernan is a prominent figure in the field of mathematics, particularly known for his work in algebraic geometry and commutative algebra. He has made significant contributions to the understanding of the relationships between algebraic varieties and their defining equations. Throughout his career, McKernan has published numerous papers and collaborated with other mathematicians, and he has held various academic positions.
José Felipe Voloch is a mathematician known for his work in the field of topology, specifically in the area of homotopy theory and algebraic topology. He has contributed to various mathematical concepts and has authored or co-authored numerous research papers on these subjects.
Wallacea is a biogeographical region that encompasses a group of islands located between the continents of Asia and Australia, specifically in the eastern part of Indonesia. It is named after the British naturalist Alfred Russel Wallace, who conducted important research in the region in the 19th century. Wallacea is characterized by its unique biodiversity and is known for having a mix of species that are typically found in either Asia or Australia, which contributes to its distinct ecological characteristics.
Ranked voting, also known as ranked-choice voting (RCV), is an electoral system in which voters rank candidates in order of preference rather than selecting just one candidate. This system allows voters to express their preferences more fully and can lead to more representative outcomes. Here’s how ranked voting typically works: 1. **Ranking Candidates**: Voters rank the candidates on the ballot according to their preferences.
Thomas Glanville Taylor is a name that may refer to various individuals, but one of the notable figures associated with this name is a British mathematician and academic known for his work in the field of mathematics, particularly in areas such as functional equations, approximation theory, and mathematical analysis.
In accelerator physics, impedance refers to the opposition that a charged particle beam encounters as it travels through the accelerator structure and surrounding elements. This concept is analogous to electrical impedance in circuit theory, where it describes how a device impedes the flow of electric current. In the context of particle accelerators, impedance characterizes how the beam interacts with the electromagnetic fields produced by the accelerator components (such as radio frequency cavities, beam pipes, and magnetic elements) and with its own induced fields.
The Shanghai Synchrotron Radiation Facility (SSRF) is a significant scientific research facility located in Shanghai, China. It primarily focuses on producing synchrotron radiation, which is a type of electromagnetic radiation emitted when charged particles, such as electrons, are accelerated through curved paths. This radiation has a wide range of applications in various fields of research, including materials science, biology, chemistry, and physics.
Tropical analysis is a branch of mathematics that involves the use of tropical geometry and algebra. It incorporates ideas from both algebraic geometry and combinatorial geometry, and it focuses on the study of objects and structures that arise by introducing a tropical or piecewise-linear structure to classical algebraic systems. In tropical mathematics, traditional operations like addition and multiplication are replaced by tropical operations. Specifically: - **Tropical Addition** is defined as taking the minimum (or the maximum) of two numbers.
Wonderful compactification is a concept in algebraic geometry related to the construction of a compactification of a given algebraic variety, particularly in the context of symmetric varieties and group actions. It provides a way to add "points at infinity" to a variety to obtain a compact object while maintaining a structured approach to study its geometric properties.

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