The Thom–Sebastiani Theorem is a result in the field of algebraic geometry and singularity theory, particularly concerning the behavior of certain types of singularities in mathematical structures known as semi-analytic sets and functions. It was developed by mathematicians Renata Thom and François Sebastiani.
Charles Loewner is a name associated with multiple fields, but he is perhaps most notably recognized in the context of mathematics. Charles Loewner (1914–2000) was an American mathematician known for his contributions to complex analysis, particularly in the areas of function theory and the study of analytic functions. One of his notable contributions is the Loewner differential equation, which is used to analyze various properties of univalent (or schlicht) functions.
Alexander Moiseevich Olevskii (also spelled Olevsky) was a notable figure in the field of mathematics, particularly in relation to mechanics, dynamics, and applied mathematics. His work contributed to various applications of mathematics in physics and engineering. However, specific details about his life, contributions, and impact may not be widely documented, as he may not be as well-known as other mathematicians.
WaveLab is a software package designed for a variety of tasks in applied and computational mathematics, particularly in the areas of wavelet analysis, signal processing, and data compression. It is primarily used by researchers, engineers, and scientists who are involved in signal and image processing applications, as well as in the study of wavelet theory and its applications.
The Whitney covering lemma is a result in differential geometry and manifold theory, named after mathematician Hassler Whitney. It provides a way to cover a subset of a manifold with a countable collection of coordinate charts that have certain nice properties.
Zahorski's theorem is a result in the field of mathematical analysis and set theory, particularly dealing with properties of Baire spaces. Specifically, it pertains to the existence of certain types of functions or mappings in the context of continuous functions in Baire spaces.
Aizik Volpert is a notable mathematician known for his contributions to various areas of mathematics, particularly in the fields of topology, algebra, and mathematical education. He has worked extensively on topics related to mathematical analysis and has published numerous research papers.
Andrew Browder could refer to various individuals, but without specific context, it's difficult to pinpoint a precise identity. One well-known Andrew Browder is a notable mathematician, particularly recognized for his work in the fields of real analysis and functional analysis.
Arieh Iserles is a prominent mathematician known for his contributions to numerical analysis, particularly in the field of differential equations and numerical methods for solving them. He has worked extensively on topics such as approximation theory, numerical algorithms, and control theory. Iserles is also known for his role in academia, having held positions at universities and published numerous research papers and books in his area of expertise. His work has had a significant impact on both theoretical and practical aspects of applied mathematics and computational science.
Dan-Virgil Voiculescu is a Romanian scientist and researcher known for his work in the field of mathematics, particularly in areas such as functional analysis, operator theory, and complex analysis. He may also be associated with various academic institutions and publications.
David Emmanuel is a mathematician known for his contributions to various fields within mathematics, including algebra, topology, and mathematical physics. He has published research papers and collaborated with other mathematicians in advancing theoretical concepts. However, it’s important to note that information about specific individuals can change over time, and there may not be extensive public information available about every mathematician.
Dennis DeTurck is a mathematician known for his work in the fields of analysis, mathematics education, and mathematical pedagogy. He has been associated with institutions such as the University of Pennsylvania, where he has held various academic positions. DeTurck is also recognized for his contributions to the teaching and promotion of mathematics, including developing resources and programs aimed at enhancing mathematics education.
Ben Lockspeiser is not a widely recognized public figure or topic as of my last knowledge update in October 2021.
Guido Fubini (1879-1943) was an influential Italian mathematician, best known for his contributions to functional analysis, complex analysis, and the theory of integrals. He is particularly noted for the Fubini theorem, which provides conditions under which one can interchange the order of integration in a double integral. Fubini's work also extended to issues in measure theory and the study of differential equations.
Emil Grosswald (1911–2004) was a notable Polish-born American mathematician recognized primarily for his contributions to number theory and the theory of special functions. He made significant advancements in various mathematical areas and published numerous papers throughout his career. Grosswald was involved in academic activities and contributed to the mathematical community, mentoring students and participating in seminars and conferences. His work continues to influence contemporary research in mathematics.
Ennio de Giorgi was an influential Italian mathematician known primarily for his work in the field of partial differential equations and the theory of functions of several variables. He made significant contributions to the regularity theory of solutions to elliptic and parabolic equations, and his research has had a lasting impact on mathematical analysis. De Giorgi was born on February 14, 1928, and passed away on July 25, 2018.
Eric Schechter is a mathematician known for his work in various fields, including topology, dynamical systems, and mathematical biology. He has contributed to the understanding of chaos, fractals, and the mathematical analysis of biological systems. In addition to his research, Schechter has authored textbooks and is known for his engaging teaching style.
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





