Divisor topology is a concept in the realm of algebraic geometry and topology, specifically dealing with the study of "divisors" on algebraic varieties. A divisor is a formal sum of irreducible subvarieties, typically associated with some function or a line bundle. Divisor topology can also relate to the topology induced by the divisors on a given variety.
The Menger sponge is a well-known example of a fractal and a mathematical object that is constructed through an iterative process. It was introduced by the mathematician Karl Menger in 1926. The Menger sponge is defined in three dimensions and is created starting with a solid cube. Here’s how the construction works: 1. **Start with a Cube:** Begin with a solid cube.
Alejandro Adem is a prominent mathematician known for his contributions to the fields of topology and algebraic geometry. He has worked in areas such as homotopy theory, algebraic topology, and the study of algebraic varieties. Additionally, Adem has held various academic positions and has been involved in research and education in mathematics.
Andrey Tikhonov was a prominent Russian mathematician known for his significant contributions to several areas of mathematics, including functional analysis, mathematical physics, and numerical analysis. He is perhaps best known for developing the Tikhonov regularization method, which is a technique used to stabilize the solution of ill-posed problems, especially in the field of inverse problems and optimization. This method has applications in various fields, including statistics, machine learning, image reconstruction, and engineering.
Clifford Hugh Dowker (born July 18, 1924 - January 24, 2021) was a notable British mathematician known for his contributions to the fields of topology and category theory. He is particularly recognized for Dowker spaces and Dowker's theorem, which are important concepts in topology. Dowker's work had a significant influence on various areas of mathematics, and he was also known for his role in mathematics education and mentorship throughout his career.
John L. Kelley was an American mathematician and statistician known for his contributions to the fields of statistics and operations research. He is particularly noted for his work in queuing theory and the development of the Kelly criterion, which is a formula used in gambling and investment for determining the optimal size of a series of bets. The Kelly criterion aims to maximize the logarithm of wealth over time, balancing the risks and rewards of various betting or investment strategies.
De Witt Sumners is a mathematical researcher known for his work in the fields of topology and geometric knot theory. He has contributed to the understanding of knot invariants and the mathematical properties of knots and links. Additionally, he is known for his collaborations and research involving computer applications in mathematics.
Deane Montgomery (1909–2002) was an American mathematician known primarily for his contributions to topology and geometry. He is particularly recognized for his work on fixed-point theorems and for his influence in the fields of algebraic topology and geometric topology. Montgomery is also known for his collaboration with fellow mathematician John L. Kelley, and they wrote the influential book "Topology," which served as a foundational text in the subject.
As of my last knowledge update in October 2021, "Dona Strauss" may refer to different things depending on the context, but I don't have specific information about a widely recognized entity or product by that name. It could potentially refer to a person's name, a brand, or a concept that has emerged more recently.
Elon Lages Lima is a Brazilian entrepreneur and technology enthusiast known for his work in the field of artificial intelligence and computer technology. He is a prominent figure associated with various tech startups and ventures, particularly in the areas of innovation, business development, and technological advancement. However, detailed and specific information about him and his activities may vary, and he may not be as widely recognized as some other tech entrepreneurs.
Frederick R. Cohen is a prominent figure known primarily for his contributions to the field of computer science, particularly in cybersecurity and computer forensics. He is noted for his work on the mathematical foundations of computer security, including the conceptualization of various types of computer viruses and malware. Cohen is perhaps best known for his early research on computer viruses, which he conducted in the 1980s.
Gordana Matic does not appear to be a widely recognized figure or concept in public knowledge up to October 2023. It's possible that she may be a private individual, or a figure that has gained prominence after that date, or may be associated with a specific field or context that isn’t widely known.
Hans Freudenthal (1905–1990) was a prominent Dutch mathematician and educator, known for his contributions to mathematics education and the foundations of mathematics. He played a pivotal role in developing the field of mathematics education and was a strong advocate for the importance of teaching mathematics in a way that is relevant and connected to the real world.
Haynes Miller is a prominent mathematician known for his work in the fields of algebraic topology and category theory. He is a professor at the Massachusetts Institute of Technology (MIT) and has made significant contributions to the understanding of stable homotopy theory and related areas. His research often involves the study of spectral sequences, homotopy theory, and the application of category-theoretic methods to problems in topology. Miller is also recognized for his teaching and mentoring of students in mathematics.
Horst Schubert might refer to different individuals depending on the context, but one notable person by that name was a German physicist known for his contributions to the field of solid-state physics. However, he is not widely recognized in popular culture or history, so more specific details would be necessary to provide additional context.
Isadore Singer was an American mathematician, best known for his work in the fields of mathematics and theoretical physics, particularly in the areas of differential geometry, algebraic topology, and mathematical physics. He is renowned for co-developing the concept of the "Atiyah-Singer index theorem," which relates the analytical properties of differential operators to topological properties of manifolds. This theorem has had a profound impact on various areas of mathematics and theoretical physics.
As of my last update in October 2021, Maciej Zworski does not seem to be a widely recognized public figure, so additional context is necessary to provide accurate information.
Jean Lannes is a French mathematician known for his contributions to algebraic topology and homotopy theory. He has worked on various topics, including stable homotopy theory, operads, and the study of certain types of algebraic structures in relation to topological spaces. Lannes is particularly recognized for his work on the Lannes-Treumann theory, which relates to the representation of stable homotopy groups and other areas of algebraic topology.
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





