Kamāl al-Dīn al-Fārisī (c. 1260 – c. 1320) was a notable Persian mathematician and astronomer. He is best known for his work in geometry, particularly in connection with the study of conic sections and his contributions to the field of optics. Al-Fārisī is often associated with the grand tradition of Islamic scholars who preserved and expanded upon the knowledge of the ancient Greeks.
Ionica Smeets is a Dutch mathematician and science communicator known for her work in promoting mathematics and science education. She has a background in mathematics and has been involved in various initiatives to make the field more accessible and engaging to the public. Smeets has also contributed to media discussions about mathematics, often writing articles, giving talks, and participating in outreach programs designed to foster interest in the subject.
Johan Jensen was a Danish mathematician known for his work in mathematical analysis, particularly in the field of convergence and the theory of series. He was born on March 30, 1874, and passed away on June 29, 1959. One of his significant contributions is Jensen's inequality, which is a fundamental result in convex analysis. The inequality characterizes the relationship between the value of a convex function at the average of points and the average of the function values at those points.
John Pell (1611–1685) was an English mathematician known for his contributions to number theory and algebra. He is best known for Pell's equation, which is a specific type of Diophantine equation of the form \(x^2 - Dy^2 = 1\), where \(D\) is a non-square integer. Although Pell's equation had been studied before his time, Pell made significant contributions to its resolution and analysis.
Karl Rubin is a prominent mathematician known for his work in number theory, particularly in the areas of elliptic curves and their applications. He has made significant contributions to the understanding of Diophantine equations, modular forms, and the Langlands program. Rubin's research often intersects with computational aspects of mathematics, and he has been involved in various collaborative mathematical initiatives.
Leopold Kronecker (1823–1891) was a notable German mathematician, known for his contributions to number theory, algebra, and mathematical logic. He is particularly recognized for his work in the field of algebraic number theory and for establishing the foundations of what is now known as Kronecker's theorem.
Martin J. Taylor could refer to various individuals or subjects depending on the context, but as of my last knowledge update in October 2023, I don't have any specific information about someone by that name who is prominent or widely recognized.
Théophile Pépin could refer to a variety of subjects, including an individual, a brand, or a specific context. However, without additional context, it's difficult to provide a precise answer. If you meant a historical figure, artist, or someone involved in a specific field (like literature, academia, or business), please provide a bit more detail so I can assist you more accurately. If it refers to something else, like a product or concept, let me know!
Wolfgang M. Schmidt could refer to a specific individual, but without additional context, it's difficult to provide precise information. There may be several notable figures with that name across various fields such as academia, literature, art, or science. If you're looking for information on a specific Wolfgang M.
Fricke involution is a concept found in the context of modular forms and algebraic geometry, particularly in relation to the study of modular curves. It is a specific type of involution—meaning it is an operation that can be applied twice to return to the original state—defined on the upper half-plane or on modular forms.
The Graß conjecture, also known as the Graß problem, is a problem in number theory related to prime numbers. Specifically, it posits a certain property of the primes in relation to their distribution. The conjecture asserts that for any integer \( n \), there exist infinitely many primes that can be expressed in the form \( n^2 + k \), for \( k \) being a positive integer that is not a perfect square.
A monogenic field is a concept that arises in the context of algebraic number theory and field theory. The term generally refers to a field extension that is generated by a single element, also known as a primitive element.
A googolplex is a very large number defined as \(10^{\text{googol}}\), where a googol is equal to \(10^{100}\). In other words, a googolplex is \(10^{10^{100}}\).
Navya-Nyāya, often referred to simply as Nyāya, is a school of Indian philosophy that emerged in the later part of the Indian philosophical tradition, around the 14th to 16th centuries. It builds upon and refines the earlier Nyāya system, which is primarily known for its focus on logic, epistemology (the study of knowledge), and the process of reasoning. **Key Features of Navya-Nyāya:** 1.
A quadratic form is a specific type of polynomial expression that involves variables raised to the second power, usually in the context of multiple variables.
Fringe physics refers to theories, ideas, and research that exist outside of mainstream scientific consensus and often lack empirical support or rigorous validation. This domain includes speculative concepts that may challenge established scientific principles or explore phenomena that are not fully understood by current scientific frameworks. Examples of fringe physics include theories related to free energy devices, perpetual motion machines, and various forms of alternative physics that propose new interpretations of fundamental concepts like gravity, time, and space.
The Antarctic Benthic Deep-Sea Biodiversity Project (ABDDBP) aims to gather comprehensive data on the biodiversity, distribution, and ecological functions of benthic (seafloor) organisms in the deep-sea regions of Antarctica. The project is part of larger efforts to understand marine ecosystems, particularly in extreme environments like the Southern Ocean.
The Corpuscular theory of light, also known as the particle theory of light, is a concept in the history of physics that proposes that light is made up of small discrete particles called "corpuscles." This theory was notably advanced by Sir Isaac Newton in the late 17th century. According to the corpuscular theory: 1. **Nature of Light**: Light consists of tiny particles that travel in straight lines. These particles are emitted by a light source and can interact with matter.
Spin foam is a concept that arises in the context of quantum gravity, particularly in the framework of loop quantum gravity (LQG). It is a way to describe the evolution of quantum states of geometry over time. In this framework, spacetime is not treated as a smooth continuum but rather is represented by discrete structures.

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