Feshbach resonance is a phenomenon in quantum mechanics and atomic physics that occurs when the energy of a colliding particle pair (such as atoms or molecules) becomes equal to the energy of a bound state of those particles. This typically involves the coupling of different scattering channels, leading to a significant modification of the interaction potential between the particles.
Gunter Malle appears to be a less commonly known name and may not directly refer to a widely recognized figure or concept. It’s possible that Gunter Malle could be a person, a fictional character, or something specific in a niche context, but without additional context or details, it's difficult to provide precise information.
Helmut Wielandt is primarily known as a German mathematician, recognized for his contributions to the fields of algebra and group theory. He worked on topics related to the properties of groups, including finite groups and their representations. One of his notable contributions is the development of Wielandt's theorem, which pertains to the study of normal subgroups and their intersections in group theory.
The Weinstein–Aronszajn identity is an important result in the field of functional analysis, specifically in the study of operators on Hilbert spaces and bilinear forms. It provides a relationship between a certain class of bilinear forms and inner products in Hilbert spaces.
Ilya Kapovich is a mathematician known for his work in the fields of group theory, geometric group theory, and related areas. He has contributed to various topics, including dynamics on groups, the study of automorphism groups of free groups, and other algebraic structures.
The number 223 is an integer that falls between 222 and 224. Here are some interesting mathematical properties and facts about the number 223: 1. **Prime Number**: 223 is a prime number, which means it is only divisible by 1 and itself. It has no other positive divisors. 2. **Odd Number**: Being an integer not divisible by 2, 223 is classified as an odd number.
A spin chain is a theoretical model used in condensed matter physics and quantum mechanics to study the behavior of many-body quantum systems consisting of discrete quantum spins arranged in a one-dimensional chain. Each spin can be thought of as a quantum system that can occupy different states, typically represented as "up" or "down" (often associated with spin-1/2 particles like electrons).
Issai Schur (1875-1941) was a prominent German mathematician known for his contributions to various areas of mathematics, particularly in the fields of algebra, number theory, and representation theory. One of his significant contributions is Schur's lemma in representation theory, which deals with the relationships between representations of groups. Additionally, he made important advancements in the theory of partitions and combinatorics.
Jacques Tits is a prominent French mathematician known for his contributions to various fields, including geometry and group theory. He was born on August 12, 1930, and is particularly noted for his work in algebraic groups, group theory, and related areas.
James W. Cannon is a mathematician known for his work in topology, particularly in the areas of geometric topology and the study of 3-manifolds. He has made significant contributions to the understanding of the topology of surfaces and the behavior of certain types of manifolds. Cannon is also noted for his work on the theory of ends of groups and for developing techniques related to combinatorial group theory.
James Wiegold does not seem to be a widely recognized public figure or concept based on the information available up to October 2023. It's possible that he could be a private individual or someone who has emerged in news or media after that date.
The number 230 is a natural number that follows 229 and precedes 231. It is an even number and can be factored into prime numbers as \(2 \times 5 \times 23\). In various contexts, it can represent different things, such as: - **Mathematics**: A whole number, an integer, and can be used in arithmetic operations.
John Lennox is a British mathematician, philosopher of science, and Christian apologist. He is known for his work in mathematics at the University of Oxford, where he has taught for many years. In addition to his academic contributions, Lennox is recognized for his writings and lectures that discuss the relationship between science and religion, particularly the compatibility of faith and reason.
"Indian group theorists" likely refers to mathematicians from India who specialize in group theory, a branch of mathematics that studies algebraic structures known as groups. Group theory has numerous applications in various fields, including abstract algebra, physics, chemistry, and computer science. India has a rich history of contributions to mathematics, and numerous Indian mathematicians have made significant impacts in the field of group theory. Some well-known Indian mathematicians who have worked in this area include: 1. **G. N.
Andrew Putman could refer to different individuals, but one notable figure is Andrew Putnam, an American professional golfer. However, if you are specifically asking about "Andrew Putman" and not "Putnam," it is unclear who that might be without additional context. It could refer to a private individual or a less widely known figure.
Louis Nirenberg (1925–2020) was a distinguished Canadian-American mathematician known for his significant contributions to the field of partial differential equations (PDEs) and mathematical analysis. He made substantial advancements in understanding nonlinear differential equations and geometric analysis. Nirenberg's work has had a lasting impact on various areas of mathematics, including the theory of elliptic and parabolic equations. He received numerous accolades for his research, including the National Medal of Science in the United States.
The number 41 is an integer that follows 40 and precedes 42. It is classified as a prime number, which means it is only divisible by 1 and itself. In mathematics, prime numbers are significant because they serve as the building blocks for natural numbers through multiplication. In various contexts, the number 41 can hold different meanings: 1. **Mathematics**: As mentioned, 41 is a prime number.
Cosma Shalizi is a prominent statistician and researcher known for his work in statistical modeling, network theory, and complex systems. He is associated with academic contributions that span various fields including machine learning, data analysis, and the philosophy of science. Shalizi has published numerous papers on topics such as inference, time series analysis, and the implications of statistical methods in understanding complex phenomena. He has also been involved in discussions about scientific practice and the appropriate use of statistical techniques in empirical research.
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





