Richard Dedekind (1831–1916) was a prominent German mathematician known for his contributions to abstract algebra, number theory, and the foundations of mathematics. He is renowned for his work on the construction of the real numbers, including what is now known as the Dedekind cut, a method for defining real numbers using sets of rational numbers.
Percy Alexander MacMahon, often referred to simply as MacMahon, was a prominent British mathematician born on March 15, 1854, and died on March 6, 1929. He is best known for his contributions to combinatorial mathematics and for his work in geometry and number theory. One of his notable contributions is in the field of combinatorial geometry, particularly his work on "MacMahon's partition analysis," which involves enumerating partitions of integer sets and studying their properties.
Philip J. Hanlon is an American mathematician and academic administrator known for his work in the fields of mathematics and higher education leadership. He has served as the president of Dartmouth College since 2013, where he has focused on enhancing the academic programs and fostering a diverse and inclusive community. Prior to his role at Dartmouth, Hanlon was a professor of mathematics at the University of Michigan and held various administrative positions there, including provost and executive vice president.
OXO is a classic video game that was developed by Ralph H. Baer and is often considered one of the first examples of a video game that used a graphical interface. Created in 1952, OXO is essentially a digital version of Tic-Tac-Toe (Noughts and Crosses) and was designed to be played on the Simon electronic game console, which Baer developed.
A zero-divisor graph is a mathematical structure used in the field of abstract algebra, particularly in the study of ring theory. It provides a visual representation of the relationships between elements in a ring with zero divisors.
UGENE is a bioinformatics software platform designed for the analysis and visualization of genomic and biological data. It provides a graphical user interface (GUI) that allows users to perform various genomic analyses without needing extensive programming skills. UGENE supports a wide range of functionalities, including: 1. **Sequence Alignment**: Users can perform multiple sequence alignments and visualize the results. 2. **Gene Prediction**: UGENE includes tools for predicting gene structures in genomic sequences.
Adaptive control is a type of control strategy used in control systems where the controller parameters can change dynamically in response to variations in the system or environment. Unlike traditional control systems, which typically use fixed parameters, adaptive control systems can adjust their parameters in real-time to maintain optimal performance despite changes in system dynamics or external disturbances.
Viscous damping refers to a type of damping that is proportional to the velocity of an object moving through a fluid or a material. This phenomenon is commonly observed in mechanical systems, particularly in oscillating or vibrating systems, where energy is dissipated as heat due to the resistance of the fluid or medium. In the context of mechanical vibrations, viscous damping can be described using a damping force that is proportional to the velocity (\(v\)) of the object.
It seems like there might be a small mix-up in your question. If by "Works about physics" you are referring to significant works or books in the field of physics, several classic and influential texts could be mentioned. Here are a few notable works: 1. **"Principia Mathematica" by Isaac Newton** - This groundbreaking work, published in 1687, laid the foundations of classical mechanics and introduced the laws of motion and universal gravitation.
"Summa de arithmetica" is a significant mathematical work written by the Italian mathematician Luca Pacioli in 1494. The full title is "Summa de arithmetica, geometria, proportioni et proportionalità" (Summary of Arithmetic, Geometry, Proportions, and Proportionality). This work is noteworthy for being one of the first comprehensive texts on arithmetic and algebra in the Renaissance period.
The history of logarithms dates back to the early 17th century and is closely tied to the development of mathematics, particularly in the fields of arithmetic and algebra. Here’s a brief overview of the key developments in the history of logarithms: ### Origins and Development - **Early Concepts**: The concept of logarithms began to take shape as mathematicians sought to simplify complex calculations, particularly multiplication and division. The need for easier computation methods was especially pronounced in astronomy and navigation.
The history of mathematical notation is a fascinating journey that reflects the evolution of mathematics itself, as well as changes in culture, language, and technology. Here’s a brief overview of the key developments in mathematical notation from ancient times to the modern era: ### Ancient Civilizations 1. **Babylonians (c. 2000 BC)**: The Babylonians used a sexagesimal (base-60) numeral system and recorded calculations on clay tablets.
The De Bruijn–Newman constant, denoted as \(\Lambda\), is a concept in number theory and analytic number theory related to the distribution of prime numbers. It arises in the context of the Riemann zeta function and its generalizations.
The Ramanujan–Soldner constant is a mathematical constant denoted by the symbol \( L \) and is approximately equal to \( 0.781072... \). It is defined as the unique positive root of the logarithmic integral function \( \text{Li}(x) = 0 \).
As of my last knowledge update in October 2023, there isn't a widely known figure or concept primarily associated with the name Alexander Lerner. It's possible that he could be a person of interest in specific fields, such as academia, literature, or another area, but without additional context, it's difficult to provide specific information.
"Proof without words" refers to a type of mathematical argument that conveys a proof or a mathematical result using visual reasoning or intuition rather than formal written explanations or symbolic manipulation. These proofs often employ diagrams, geometrical representations, or other visual aids to communicate a concept effectively. One common example is using geometric figures to show that the area of a shape is equal to another shape, such as demonstrating the Pythagorean theorem through a visual arrangement of squares on the sides of a right triangle.

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 5. . 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.
  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