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.
It seems like there might be a typographical error in your question or that "Albert A. Mullin" may not be a widely recognized person, concept, or entity based on the information available up to October 2023. There is a possibility you're referring to a different name or topic.
Arjen Lenstra is a Dutch mathematician and computer scientist known for his work in the areas of number theory, cryptography, and the mathematics of computation. He is particularly notable for his contributions to the field of cryptanalysis, which involves the study of methods for breaking cryptographic systems. Lenstra has worked on various aspects of mathematical algorithms and has been involved in significant advancements related to public key cryptography and integer factorization.
Audrey Terras is a mathematician known for her contributions to the fields of number theory and algebraic geometry. She has made significant contributions to the study of modular forms and has worked on topics related to the theory of automorphic forms, as well as mathematical research involving complex analysis and topology. Terras is also recognized for her work in mathematics education and outreach.
Bohuslav Diviš (also known as Bohuslav Dvorský) was a 20th-century Czech composer and musician. He is known for his contributions to classical music, particularly in the realm of orchestral and chamber music. His works often reflect the rich traditions of Czech music, and he has been recognized for his creativity and innovation in composition.
In linguistics, "common ground" refers to the shared knowledge, beliefs, and assumptions that interlocutors (speakers and listeners) have in a particular communicative context. It encompasses everything that is mutually known or assumed by the participants in a conversation, which can include prior experiences, cultural knowledge, as well as context-specific information.
David Masser is a mathematician known for his work in number theory and algebra. He has made significant contributions in areas such as Diophantine equations and the distribution of prime numbers. Masser is particularly noted for his work on the theory of elliptic curves and transcendental numbers.
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.
Ehud de Shalit is not a widely recognized figure, and it seems there may be some confusion around the name. You might be referring to Gilad Shalit, an Israeli soldier who was captured by Hamas in 2006 and held for over five years before being released in a prisoner exchange deal in 2011.
A pentode is a type of vacuum tube (also known as a thermionic valve) that has five active elements: two control grids, a cathode, and an anode (plate), along with a screen grid. The primary function of a pentode is to amplify electrical signals. Here’s a breakdown of its components: 1. **Cathode**: This emits electrons when heated, typically by a filament.
Ferdinand von Lindemann (1852–1939) was a notable German mathematician best known for his work in the field of mathematics concerning the foundations of geometry and the theory of numbers. One of his most significant contributions is the proof that pi (π) is a transcendental number, which means that it is not the root of any non-zero polynomial equation with rational coefficients.
Franz Mertens may refer to a few different individuals, but he is most commonly known as a mathematician from the late 19th and early 20th centuries, particularly recognized for his work in number theory and analysis. His contributions include insights into the theory of primes and the study of functions related to prime numbers.
Freydoon Shahidi is a prominent figure in the field of chemical engineering and is particularly known for his research and contributions to the areas of food engineering and the physical properties of food materials. He has authored numerous publications, including journal articles and books, focusing on topics such as food rheology, transport phenomena in food processing, and modeling of food systems.
Hans Heilbronn (1904–1975) was a notable German-born mathematician known for his contributions to number theory and the field of mathematics during the 20th century. He is particularly recognized for his work related to analytic number theory and the distribution of prime numbers. Heilbronn's work has had a lasting impact in various areas of mathematics. Heilbronn was also involved in the development of the theory of Hardy and Littlewood concerning the distribution of prime numbers.
The Arago spot, also known as the Poinsot spot, is a phenomenon observed in the diffraction pattern of light when it passes through a circular aperture or around a circular obstacle. It is named after the French physicist François Arago, who studied this effect in the early 19th century. When light waves encounter a circular obstacle, they bend around it and create a diffraction pattern.
Harald Helfgott is a notable mathematician known for his work in number theory and related fields. He is particularly recognized for contributions to problems related to additive number theory, including his proof of the "Dense Model Conjecture" and advancements in the theory of prime numbers. Helfgott's work has garnered attention for its impact on various mathematical domains and has helped to shed light on significant conjectures in mathematics.
Harold Edwards is an American mathematician known for his work in number theory, particularly in the areas related to elliptic curves and algebraic forms. He is also recognized for his contributions to the teaching and popularization of mathematics. One of his notable works is the book "Rational Points on Elliptic Curves," which he co-authored with Kenneth H. Rosen, providing insights into the arithmetic of elliptic curves.
Heini Halberstam was a notable mathematician, particularly recognized for his contributions to number theory and geometry. His work often focused on topics such as combinatorial geometry and additive number theory. Halberstam was also known for his collaborations and influence in the mathematical community, writing several important papers and having a lasting impact on the field.
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