A **neat submanifold** is a concept from differential topology, particularly in the study of manifolds and their embeddings. A submanifold \( N \) of a manifold \( M \) is called a **neat submanifold** if it is embedded in such a way that the intersection of the submanifold with the boundary of the manifold behaves well.
Andreas Seeger can refer to different individuals or contexts depending on the area of discussion. Without specific context, it's challenging to pinpoint exactly who you are referring to. 1. **Academia**: There may be academics or researchers with the name Andreas Seeger who have made contributions to their respective fields. 2. **Sports**: There could be athletes or coaches with that name. 3. **Popular Culture**: It could also refer to a public figure or celebrity.
The unit of electrical conductance is the siemens (S). It is defined as the reciprocal of electrical resistance, which is measured in ohms (Ω). Therefore, 1 siemens is equivalent to 1/ohm or \( S = \frac{1}{\Omega} \). Additionally, in other contexts, conductance can also be expressed in terms of mhos (℧), which is simply ohms spelled backward, although this terminology is less commonly used today.
Value distribution theory is a branch of complex analysis that focuses on understanding how holomorphic functions distribute their values in the complex plane. This theory is primarily concerned with the behavior of meromorphic functions (functions that are holomorphic except at a discrete set of poles) and their relationship with their value sets, particularly in terms of how often certain values are attained.
Young's inequality for integral operators is a fundamental result in functional analysis that provides a way to estimate the \(L^p\) norms of convolutions or the products of functions under certain conditions. It applies to integral operators defined by convolution integrals and plays a crucial role in the theory of \(L^p\) spaces.
Ervin Feldheim is a prominent physicist known for his research in the fields of condensed matter physics and materials science. He has contributed to our understanding of various physical phenomena and has published numerous papers in scientific literature.
Isaac Jacob Schoenberg (1915–2006) was a notable mathematician known primarily for his work in the fields of functional analysis and numerical analysis. He made significant contributions to applied mathematics, particularly in the areas of interpolation and approximation theory. Schoenberg is often recognized for his development of the so-called Schoenberg splines. In addition, Schoenberg's work extended to various applications in engineering and numerical methods, which have had a lasting impact on the field.
Norair Arakelian could refer to a person, but without additional context, it is difficult to determine exactly who you are referring to. There might be multiple individuals with that name, and they may have various professions or roles.
Pavel Korovkin (often referring to a mathematical concept known as the Korovkin theorem) is associated with an important theorem in functional analysis, particularly in the study of approximation theory. The Korovkin theorem provides conditions under which sequences of positive linear operators converge to a function in a certain space, specifically within the context of continuous functions.
Alain Connes is a prominent French mathematician known for his contributions to several fields of mathematics, particularly in functional analysis, operator algebras, and noncommutative geometry. Born on April 1, 1939, Connes has made significant advancements in the understanding of von Neumann algebras and has developed the framework of noncommutative geometry, a branch of mathematics that extends geometric concepts to include spaces where coordinates do not commute.
NeuroSky is a company that specializes in the development of brainwave monitoring technology and applications. Founded in 2004, NeuroSky focuses on creating consumer and medical devices that utilize electroencephalography (EEG) to measure brain activity. Their technology often involves the use of lightweight and affordable headsets or sensors that can detect brainwave patterns and convert them into data that can be used for various applications, such as gaming, meditation, and cognitive training.
Antoni Zygmund (1900–1992) was a renowned Polish-American mathematician known for his significant contributions to the field of mathematical analysis, particularly in the areas of Fourier analysis and the theory of functions. He played a crucial role in the development of modern harmonic analysis and made important advancements in the study of singular integrals and rough functions.
Boris Korenblum is a name that may refer to different individuals, but one notable person is Boris Korenblum, an accomplished mathematician, particularly known for his work in the fields of computational mathematics and numerical analysis.
Cabiria Andreian Cazacu does not appear to be a widely recognized name in publicly available information or significant media sources as of my last knowledge update in October 2023. It's possible that she is a private individual or associated with a niche field, and more specific or context-rich details could help to identify her.
Cesare Arzelà (1859–1933) was an Italian mathematician known for his contributions to various fields of mathematics, particularly in analysis and the theory of functions. He is often associated with results in the area known as measure theory, as well as differential equations and functional analysis. One of Arzelà's notable contributions is the Arzelà–Ascoli theorem, which provides a characterization of compact subsets of the space of continuous functions.
Cora Sadosky is a name that may refer to various individuals or entities, but there is limited widely-known information about a specific individual by that name. It might be associated with various fields such as academia, literature, or other sectors.
Dimitrie Pompeiu was a prominent Romanian mathematician, known for his contributions to various branches of mathematics, including functional analysis, geometry, and mathematical analysis. Born on June 22, 1873, in the city of Botoșani, he made significant strides in the field of mathematics during the early 20th century. Pompeiu is perhaps best known for the Pompeiu theorem, which relates to the properties of integrable functions.
Edward B. Saff is a mathematician known for his contributions in the field of numerical analysis, specifically in relation to polynomial interpolation, approximation theory, and the study of orthogonal polynomials. He has also collaborated on research concerning the properties of Chebyshev polynomials and their applications. Saff has co-authored several textbooks and research papers that focus on mathematical methods and theories, making significant impacts in both theoretical and applied mathematics.
Elisha Netanyahu is generally known as the younger brother of Benjamin Netanyahu, the former Prime Minister of Israel. He was born in 1946 and served in the Israel Defense Forces (IDF) as a soldier in the elite Sayeret Matkal unit. Elisha is a lesser-known figure compared to his brother and is often referred to in the context of their family's prominence in Israeli politics and public life.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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