The Dual Resonance Model (DRM) is a theoretical framework primarily used in particle physics, particularly in the study of strong interactions and the behavior of hadrons. It was developed to address some shortcomings of earlier models like the quark model and the meson spectrum predictions.
Matrix string theory is a theoretical framework in string theory that aims to describe fundamental aspects of quantum gravity and the behavior of string-like objects at a microscopic level. It is particularly associated with the study of non-perturbative aspects of string theory and offers a way to understand the dynamics of strings and the underlying spacetime structure through matrix models. The key idea behind matrix string theory is to represent strings or branes as matrices, which are mathematical objects that can encode information about multiple degrees of freedom.
N = 2 superstring refers to a specific type of superstring theory characterized by its amount of supersymmetry. In the context of superstring theory, "N" typically denotes the number of supersymmetries that are present in the theory. Therefore, N = 2 superstring theories have a higher amount of supersymmetry compared to theories with lower values of N, such as N = 1 or N = 0.
A Sasakian manifold is a particular type of Riemannian manifold that is closely related to Kähler manifolds. More specifically, it is a odd-dimensional manifold equipped with a structure that can be described in terms of a Riemannian metric, a contact structure, and an associated 1-form.
James Franklin is an Australian philosopher known for his work in the philosophy of mathematics, logic, and the history of philosophy. He has addressed a range of topics, including the nature of mathematical truth, the foundations of mathematics, and epistemology. Franklin has also engaged with issues related to scientific reasoning and the philosophy of language. He is notable for his contributions to discussions on the relationship between mathematics and reality, as well as the implications of mathematical thought for our understanding of the world.
A **restricted sumset** is a concept used in additive combinatorics, a branch of mathematics that studies various properties of sets of numbers, particularly in relation to addition. Given two sets \(A\) and \(B\) of integers, the **sumset** \(A + B\) is defined as the set of all possible sums obtained by taking one element from \(A\) and one element from \(B\).
Logic Masters India (LMI) is an online platform dedicated to promoting logical and analytical reasoning through various types of puzzles and competitions. It primarily focuses on fostering skills in logic, mathematics, and problem-solving among its members, which include students, educators, and puzzle enthusiasts. LMI hosts regular contests, challenges, and practice sessions where participants can compete against each other or work on puzzles at their own pace.
SUDO-Q is a framework designed for the rapid development and evaluation of quantum algorithms. It combines various techniques and methods to facilitate the simulation, testing, and optimization of quantum algorithms on classical and quantum computers. The term SUDO-Q may also refer to specific tools or platforms within the realm of quantum computing that involve the use of quantum programming languages, simulation environments, and performance metrics for evaluating quantum algorithm efficiency.
Inviscid flow refers to a type of fluid flow in which the effects of viscosity are negligible. In this idealized scenario, the fluid is treated as inviscid, meaning that it has no internal friction or resistance to flow. As a result, the flow can be described using the Euler equations of fluid dynamics, which are a set of nonlinear partial differential equations governing the motion of inviscid fluids.
John F. Allen is a physicist known primarily for his contributions to the fields of condensed matter physics and material science. His work often involves the study of complex materials and their properties, which can include superconductors, magnetic materials, and various forms of nanomaterials. Unfortunately, there isn't a widely recognized figure named John F. Allen in mainstream physics popular culture or literature, so further details about specific contributions or achievements may not be widely documented outside of academic publications.
The Kibble-Zurek mechanism (KZM) is a theoretical framework that describes how defects are formed in a system undergoing a continuous phase transition, particularly when it is driven out of equilibrium. This mechanism was developed in the context of cosmology by physicist Tom Kibble and later expanded by Wojciech Zurek in the context of condensed matter physics.
The Bender–Knuth involution is a combinatorial technique used in the enumeration of certain types of objects, specifically in the context of permutations and their associated structures. The technique was introduced by Edward A. Bender and Donald M. Knuth in the study of permutations with specific constraints, particularly permutations that can be represented with certain kinds of diagrams or structures.
Monk's formula is a mathematical formula used in the context of combinatorial optimization and scheduling, particularly in the analysis of certain types of resource allocation problems. However, the term "Monk's formula" might not be widely recognized in every mathematical or scientific community, and it may refer to different concepts depending on the context.
The "plethystic exponential" is a concept from the area of algebraic combinatorics, particularly in the study of formal power series and symmetric functions. It is a specific operation that acts on symmetric functions and is particularly related to the theory of plethysm.
The Ringel-Hall algebra is a mathematical structure that arises in the study of representation theory, particularly in the context of finite-dimensional algebras and their associated categories. It was introduced by C. M. Ringel and is primarily used to provide a framework for understanding and working with the representations of quivers (directed graphs) and related categories.
Linux TeX software refers to a collection of typesetting programs and tools that are typically used on Linux operating systems for creating documents with high-quality typography, particularly in academic and scientific contexts. The most well-known component of the TeX software suite is **TeX** itself, which was created by Donald Knuth in the late 1970s and early 1980s. TeX allows users to create complex documents that include features like mathematical formulas, bibliographies, and cross-references.
AMS-LaTeX is a set of macros and packages for the LaTeX typesetting system, specifically developed by the American Mathematical Society (AMS) for typesetting mathematical documents. It is commonly used by mathematicians and scientists because it provides a variety of features and enhancements that improve the quality and functionality of mathematical writing.
CTAN stands for the Comprehensive TeX Archive Network. It is a large repository of software and documents related to TeX, LaTeX, and related typesetting systems. CTAN hosts a wide array of packages, classes, fonts, and documentation, and it serves as a central point for users to download, share, and contribute to TeX-related resources.

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