Marcos Moshinsky (1921-2009) was a prominent Mexican theoretical physicist, particularly known for his contributions to quantum mechanics and mathematical physics. He made significant advancements in areas such as group theory, nuclear physics, and the study of wave functions. Moshinsky is also recognized for his work in the field of supersymmetry and for developing tools and methods that are used in quantum mechanics.
Peter Sarnak is a prominent mathematician known for his work in number theory, particularly in the areas of automorphic forms, L-functions, and spectral theory. He has made significant contributions to the understanding of the distribution of prime numbers and the connections between number theory and dynamical systems. Sarnak is also known for his research on the theory of modular forms and their applications in various problems in mathematics and theoretical physics.
Nikita Nekrasov is a Russian mathematician known for his contributions to algebraic geometry and related fields. He is particularly recognized for his work on derived categories, motives, and the intersection theory of algebraic varieties. In addition to his mathematical research, he has been involved in education and mentoring within the mathematical community.
Sergey Bolotin is not a widely recognized public figure, so the name could refer to multiple individuals in various contexts such as science, sports, or other fields. Without additional context, it's challenging to provide specific information.
Sergio Doplicher is an Argentine-American mathematician known for his contributions to various areas of mathematics, particularly in quantum mechanics, operator algebras, and mathematical physics. He has worked on the mathematical foundations of quantum theory and has published numerous papers on topics related to the mathematical structure of theories in physics. Doplicher is also recognized for his collaborations with other mathematicians and physicists, and his work has had implications for understanding the mathematical underpinnings of physical theories.
Bel decomposition, also known as Bel's Theorem or the Bel decomposition theorem, is a concept from differential geometry and mathematical physics, particularly in the context of general relativity. It refers to a specific way of decomposing the curvature of a spacetime into different contributions, allowing a clearer understanding of the gravitational field. In general relativity, the curvature of spacetime is described by the Riemann curvature tensor, which encodes information about the curvature caused by mass and energy distributions.
As of my last update in October 2023, Thomas Willwacher is a mathematician known for his contributions to fields such as algebraic topology, homotopy theory, and related areas of mathematics. His research often involves complex algebraic structures and their applications in topology.
Valentine Bargmann (1908-1989) was a notable physicist known for his contributions to quantum mechanics and mathematical physics. He is particularly recognized for his work on the mathematical foundations of quantum theory and the development of Bargmann spaces, which are complex Hilbert spaces that are essential in the study of quantum mechanics. His research helped bridge areas of mathematics and theoretical physics, contributing to a deeper understanding of quantum systems and their properties.
The BSSN formalism is an advanced mathematical formulation used in the numerical simulation of Einstein's field equations in general relativity, particularly in the context of black hole simulations and gravitational wave research. BSSN stands for Baumgarte-Shapiro-Shibata-Nakamura, the names of the researchers who developed this approach.
The Coefficient of Fractional Parentage (CFP) is a concept used in quantum mechanics and atomic physics, particularly in the context of many-particle systems, such as atoms or nuclei composed of multiple indistinguishable particles (e.g., electrons, protons, neutrons). When dealing with systems of identical particles, the overall wave function must be symmetric (for bosons) or antisymmetric (for fermions) under the exchange of particles.
D'Alembert's equation is a type of partial differential equation that describes wave propagation. It is named after the French mathematician Jean le Rond d'Alembert.
19th-century mathematicians came from various countries and made significant contributions to mathematics and related fields. Here’s a brief overview of some notable mathematicians categorized by their nationality: ### France - **Évariste Galois**: Known for his work on group theory and the unsolvability of polynomial equations. - **Henri Poincaré**: Made foundational contributions to topology and dynamical systems.
Linear transport theory is a framework used to describe the transport of particles, energy, or other quantities through a medium in a manner that is linear with respect to the driving forces. It is commonly applied in fields like physics, engineering, and materials science to analyze diffusion, conduction, and convection processes.
Noether's second theorem is a result in theoretical physics and the mathematics of symmetries in field theory, which stems from the work of mathematician Emmy Noether. While Noether's first theorem links symmetries of the action of a physical system to conservation laws, her second theorem addresses a different aspect of symmetry, specifically related to gauge symmetries or more general symmetries of a system that might not lead to simple conservation laws.
The Plebanski action is a formulation of gravity in terms of a first-order action, which is particularly useful in the context of general relativity and its formulations in the language of higher-dimensional theories or in the study of topological properties of spacetime. Specifically, the Plebanski action describes a theory of gravity that is expressed in terms of a 2-form field and a metric structure.
Menyhért Palágyi is known as a Hungarian philosopher and mathematician, particularly noted for his work in logic and the philosophy of mathematics. Born in the late 19th century, Palágyi contributed to the development of mathematical logic and was involved in discussions surrounding the foundations of mathematics. His work is recognized in the context of Hungarian intellectual history, and he is sometimes associated with the broader movements in philosophy and mathematics during his time.
Noncommutative quantum field theory (NCQFT) is an extension of traditional quantum field theory where the space-time coordinates do not commute. In standard quantum field theory, the coordinates of spacetime are treated as classical operators that commute with each other. However, in noncommutative geometries, the fundamental idea is that the coordinates of spacetime satisfy a noncommutative algebra, which means that the product of two coordinates may depend on the order in which they are multiplied.
Josip Plemelj (1873–1967) was a prominent Slovenian mathematician known for his contributions to various fields, including mathematical analysis and differential equations. He is particularly recognized for his work in the theory of functions of complex variables and for his development of what is now known as Plemelj formulas, which are important in potential theory and applied mathematics. Plemelj had a significant impact on the education of mathematicians in Slovenia and worked to promote mathematical research in the region.
Mathematicians from al-Andalus refer to scholars and intellectuals who lived in the region of the Iberian Peninsula that was under Muslim rule from the 8th to the 15th centuries, a period known as al-Andalus. This era was marked by significant advancements in various fields, including mathematics, astronomy, medicine, and philosophy, heavily influenced by the synthesis of Islamic, Greek, and Hebrew knowledge.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





