David Gilbarg is a notable mathematician, particularly known for his work in analysis and partial differential equations. He is widely recognized for his contributions to the field, including the development of the Gilbarg–Trudinger inequality, which is important in the theory of elliptic partial differential equations. Gilbarg has published numerous papers and collaborated with other mathematicians, contributing to advancements in mathematical theory and applications.
DBpedia is a project aimed at extracting structured content from the information created in Wikipedia and making it available on the web in a machine-readable format. By converting Wikipedia's unstructured content into a structured format, DBpedia enables users to query the information using standard semantic web technologies, such as RDF (Resource Description Framework) and SPARQL (an RDF query language).
Derek Barton was a notable British chemist, best known for his work in the field of organic chemistry and his contributions to the understanding of molecular conformations and stereochemistry. Born on September 8, 1918, Barton made significant advancements in the study of conformational analysis, particularly with the introduction of the concept of "conformational energy," which helped explain how the three-dimensional shape of molecules affects their chemical behavior.
Crown gear, also known as a "crown wheel" or "crown gear wheel," is a type of gear that has teeth cut into a pitch circle that is at right angles to the axis of the shaft. It is typically used in applications where a change in the direction of motion is required, such as in bevel gear systems. Crown gears are often used in conjunction with a pinion gear, which meshes with the crown gear to transmit motion and torque.
GenerativeComponents (GC) is a software application developed by Bentley Systems that is primarily used for design and modeling in the architecture, engineering, and construction (AEC) sectors. It focuses on generative design, allowing users to create complex geometries and structures through parametric modeling techniques. Key features of GenerativeComponents include: 1. **Parametric Modeling**: Users can define parameters and relationships between geometric entities, enabling the design to adapt dynamically based on changes to these parameters.
HEC-RAS (Hydrologic Engineering Center's River Analysis System) is a modeling software developed by the U.S. Army Corps of Engineers (USACE) designed for simulating river and floodplain hydraulic behavior. It is primarily used to analyze the flow of water in rivers and streams, assess flood risk, and design hydraulic structures.
A phase qubit is a type of quantum bit (qubit) used in quantum computing that relies on the phase of a superconducting circuit for its encoding of quantum information. Unlike traditional qubits, which may represent states as 0 and 1 based on energy levels (e.g., in a transmon qubit), phase qubits utilize the quantum mechanical property of phase to represent information.
Chris Jones is an American politician known for his role in Arkansas politics. He is a member of the Republican Party and has served in various capacities within the state government. Jones made a name for himself in Arkansas politics as a candidate for the office of governor in the 2022 election. Prior to his gubernatorial campaign, Chris Jones was recognized for his work in education and public service.
The term "Biology Monte Carlo method" isn't a specific or widely recognized technique but rather refers to the application of Monte Carlo methods in biological contexts. Monte Carlo methods are a class of computational algorithms that rely on random sampling to obtain numerical results. They are used in various fields, including biology, to model complex systems and processes.
Antithetic variates is a variance reduction technique used in the context of Monte Carlo simulation. The main purpose of this technique is to improve the efficiency of the simulation by reducing the variance of the estimator. The idea behind antithetic variates is to generate pairs of dependent random variables that are negatively correlated. This negation helps to balance out the fluctuations that might occur in the estimated outcomes.
The Chomsky–Schützenberger enumeration theorem is a result in formal language theory that provides a way to count the number of strings of a given length that can be generated by a context-free grammar (CFG). Specifically, it deals with the enumeration of strings in relation to the derivations of the grammar.
Cable theory is a mathematical model used to describe the electrical properties of neuronal cells, specifically the way that electrical signals propagate along the length of an axon or dendrite. It provides a framework for understanding how neurons transmit electrical signals through their membranes, considering their cylindrical geometry and the physical properties of cellular components like membranes, cytoplasm, and the extracellular medium.
CAD/CAM dentistry refers to the use of Computer-Aided Design (CAD) and Computer-Aided Manufacturing (CAM) technologies in the planning and creation of dental restorations. This innovative approach has transformed traditional dental practices by allowing for more precise, efficient, and aesthetic outcomes. Here’s a breakdown of the two components: 1. **CAD (Computer-Aided Design)**: This aspect involves using software to design dental restorations digitally.
Quantum image processing is an emerging field that combines principles of quantum information science with image processing techniques. The goal is to leverage the unique properties of quantum mechanics, such as superposition and entanglement, to perform image analysis and manipulation tasks more efficiently than classical approaches. ### Key Features of Quantum Image Processing: 1. **Quantum Representation of Images**: Traditional images are usually represented in pixel format, which can consume significant amounts of memory.
The American Society for Nondestructive Testing (ASNT) is a professional organization dedicated to promoting the knowledge and practices of nondestructive testing (NDT) across various industries. Founded in 1941, ASNT serves as a hub for professionals involved in NDT, including engineers, technologists, researchers, and educators. Key purposes and activities of ASNT include: 1. **Education and Certification**: ASNT offers certification programs for individuals in various NDT methodologies.
An amplicon is a piece of DNA that has been amplified, typically through a process like polymerase chain reaction (PCR). This amplification process allows for the creation of millions of copies of a specific DNA sequence, which can then be used for various purposes in molecular biology, genetics, and biotechnology. Amplicons are often used in various applications including: 1. **Genetic Testing**: To identify genetic mutations or variations associated with diseases.
The AM-GM Inequality, or the Arithmetic Mean-Geometric Mean Inequality, is a fundamental result in mathematics that relates the arithmetic mean and the geometric mean of a set of non-negative real numbers.
The Amor asteroids are a group of near-Earth asteroids that have orbits that are primarily outside Earth's orbit but can come close to it. The term "Amor asteroid" refers to those objects that do not cross Earth's orbit but can approach it closely. They are named after the asteroid 1221 Amor, which was discovered in 1932.
An ampere-hour (Ah) is a unit of electric charge that represents the amount of electric current in amperes (A) that a battery can deliver over the period of one hour. It is commonly used to express the capacity of batteries, indicating how long a battery can provide a specific current before it is depleted. For example, a battery rated at 1 ampere-hour can supply a current of 1 ampere for 1 hour, or 2 amperes for 0.
Daniel Bonevac is a philosopher and professor known for his work in areas such as logic, philosophy of language, and epistemology. He has written extensively on topics related to reasoning, formal logic, and the foundations of knowledge. Bonevac has also contributed to the study of Aristotle and contemporary philosophical issues. He has held faculty positions at various institutions, including the University of Texas at Austin.

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