Dmitry Chelkak is known as a Russian mathematician and computer scientist, primarily recognized for his contributions to the fields of probability theory and combinatorial optimization. He has worked on various problems in these areas, including random structures and algorithms.
Thomas Henry Havelock (1790–1857) was a British Army officer known for his role during the Indian Rebellion of 1857. He was particularly noted for his leadership in the recapture of Delhi and the relief of the besieged British garrison in Lucknow. Havelock's military career spanned several campaigns, but he gained fame for his effective command and quick actions during the uprising, where he successfully navigated difficult circumstances to perform notable military feats.
A modal matrix is often associated with the field of linear algebra and refers to a particular type of matrix used in modal analysis, a technique typically applied in systems analysis, engineering, and physics. In general, a modal matrix can refer to the following contexts: 1. **Modal Analysis in Vibrations**: In structural dynamics, a modal matrix consists of the eigenvectors of a system's mass and stiffness matrices.
The National Prize for Applied Sciences and Technologies in Chile, known as "Premio Nacional de Ciencias Aplicadas y Tecnologías," is an award established to recognize and honor significant contributions to the fields of applied sciences and technology in the country. This award underscores the importance of innovation, research, and development in addressing various challenges and advancing knowledge in applied sciences.
"Advanced Composite Materials" is a peer-reviewed scientific journal that focuses on the research and development of advanced composite materials. These materials typically consist of two or more constituent materials with significantly different physical or chemical properties that remain distinct at macroscopic scales. The combination often leads to enhanced properties such as increased strength, lower weight, improved durability, and better resistance to environmental factors.
A decomposition matrix is a matrix used in the study of representations of groups, particularly in the area of finite group theory and representation theory. It provides a way to understand how representations of a group can be broken down into simpler components, specifically when considering the representations over different fields, particularly finite fields.
The pseudo-determinant is a generalization of the standard determinant that is particularly useful in linear algebra and matrix theory when dealing with singular matrices. In essence, the pseudo-determinant provides a measure of the "volume scaling factor" of a matrix that is not necessarily invertible.
A skew-symmetric graph, in the context of graph theory, refers to a special type of directed graph (digraph) that exhibits certain symmetrical properties in its edges.
Universal generalization is a principle in formal logic and mathematics that allows one to deduce a universally quantified statement from a particular case or a set of cases.
Oleg Marichev is a distinguished Russian mathematician known for his contributions to both theoretical and applied mathematics. He has made significant advancements in areas such as functional analysis, operator theory, and mathematical statistics. Throughout his career, Marichev has published numerous research papers and has been involved in various academic and professional activities, including teaching and mentoring students in mathematics.
The term "Mathematicians from Saint Petersburg" typically refers to the influential mathematicians who have come from Saint Petersburg, Russia, and contributed significantly to various fields of mathematics. Saint Petersburg has a rich history of mathematical research and education, especially through institutions such as Saint Petersburg State University, the Leningrad Mathematical Society, and the Steklov Institute of Mathematics.
A Regular Hadamard matrix is a special type of orthogonal matrix that is composed of entries from the set \{-1, 1\}.
Arcady Zhukov is a name that may refer to multiple subjects, but in the context of popular culture or recent developments, it might not be widely recognized.
Isaac Newton (1642–1727) was an English mathematician, physicist, astronomer, and author who is widely regarded as one of the most influential scientists of all time. He made significant contributions to various fields, including: 1. **Mathematics**: Newton is one of the founders of calculus, a branch of mathematics that deals with rates of change and the accumulation of quantities.
"Americana" generally refers to artifacts, traditions, and cultural elements that are characteristic of the United States, encompassing its history, folklore, and popular culture.
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





