Miron Nicolescu is a name that could refer to various individuals, but it is most commonly associated with a Romanian mathematician known for his contributions to mathematical analysis and other fields.
Roger J-B Wets is a prominent figure in the field of mathematical finance and optimization, recognized for his contributions to the theory and applications of stochastic processes and dynamic programming. He has published numerous papers and works related to decision making under uncertainty, risk management, and the mathematical modeling of financial systems.
Salvatore Pincherle is likely a reference to a notable figure or concept in a specific field, but as of my last update, there is limited information available about someone with that name. If you mean a specific historical figure, artist, scientist, or character from literature, please provide additional context or details, and I would be happy to assist you further!
Stefan Grigorievich Samko is a mathematician known for his contributions to the field of functional analysis, particularly in the study of integral transformations and functional spaces. He is often associated with topics like linear operators and spaces of functions. His work has influenced various branches of mathematics, including real analysis and differential equations.
Theodore J. Rivlin is not a widely recognized public figure or prominent individual as of my last knowledge update in October 2023. If you meant someone else or a different context, please provide more details, and I would be happy to assist you. Alternatively, it is possible that Theodore J. Rivlin may refer to a lesser-known person, or there may be new developments regarding this individual after my last update. Please clarify!
As of my last update in October 2023, there is no widely known public figure or concept named Hugh Couchman. It's possible that he may be a private individual or someone who has gained prominence after that date.
The Scholz conjecture is a concept in number theory, specifically dealing with the distribution of primes in arithmetic progressions. It posits that for any prime \(p\) greater than 3, and for any integer \(a\) such that \(\gcd(a, p) = 1\), there are infinitely many prime numbers of the form \(np + a\) for integer values of \(n\).
A K-synchronized sequence is a concept commonly used in the field of computer science and combinatorial mathematics, particularly in the study of sequences and their properties. A sequence is considered K-synchronized if it exhibits a certain periodic behavior or pattern that repeats every \( K \) elements or based on the mathematical properties associated with \( K \).
The Monotone Convergence Theorem (MCT) is a fundamental result in measure theory and is especially important in the context of Lebesgue integration. The theorem provides conditions under which the limit of an increasing sequence of measurable functions converges to the integral of the limit function.
In approximation theory, several theorems provide fundamental insights into how functions can be approximated by simpler functions, such as polynomials, trigonometric series, or other basis functions. Here are some key theorems and concepts in approximation theory: 1. **Weierstrass Approximation Theorem**: This theorem states that any continuous function defined on a closed interval can be uniformly approximated as closely as desired by a polynomial function.
The Shift Theorem, often associated with the field of signal processing and control theory, provides a useful relationship between the time domain and the frequency domain of a signal. It primarily refers to how a time shift in a signal affects its Fourier transform.
The Besicovitch covering theorem is a result in measure theory and geometric measure theory that deals with the covering of sets in Euclidean space by balls. It is particularly important in the context of studying properties of sets of points in \(\mathbb{R}^n\) and has applications in various areas such as size theory, geometric measure theory, and analysis.
Carl Størmer can refer to two notable figures. 1. **Carl Størmer (1874–1957)**: He was a Norwegian mathematician, astronomer, and pioneer in the field of auroral research. Known for his work on the mathematical model of auroras, he made significant contributions to our understanding of atmospheric phenomena, particularly the interaction between the solar wind and the Earth's magnetic field.
The Lonely Runner Conjecture is a hypothesis in the field of number theory and combinatorial geometry. It proposes that if \( k \) runners, each moving at different constant speeds, start running around a circular track of unit length, then for sufficiently large time, each runner will be at a distance of at least \( \frac{1}{k} \) from every other runner at some point in time.
Glaisher's theorem is a result in number theory, specifically related to the distribution of prime numbers. It gives a bound on the error term in the prime number theorem. The prime number theorem states that the number of primes less than a given number \( x \) is asymptotically equivalent to \( \frac{x}{\log x} \). Glaisher's theorem refines the understanding of the error in this approximation.
Don Zagier is a prominent American mathematician known for his contributions to number theory, particularly in areas such as modular forms, L-functions, and algebraic geometry. He has made significant advancements in the theory of elliptic curves and has worked on various problems related to arithmetic geometry and the theory of modular forms. Born on April 24, 1951, Zagier earned his Ph.D. from Harvard University in 1975 under the supervision of David Mumford.
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





