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.
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.
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.
John Friedlander is a notable figure in the realm of metaphysics, particularly known for his work in the area of psychic development, spiritual growth, and the exploration of consciousness. He is recognized for his teachings and writings on topics such as intuition, subtle energy, and the development of psychic abilities. Friedlander often emphasizes the importance of personal experience in spiritual practice and encourages individuals to explore their own intuition and connection to the broader dimensions of reality.
Nadia Heninger is a computer scientist and cryptographer known for her work in areas related to cybersecurity, encryption, and cryptographic protocols. She has contributed to research on topics such as the security of cryptographic algorithms and the mathematical foundations of cryptography. Heninger has been involved in various academic and research efforts, often focusing on making cryptography more secure and efficient.
Joseph Wolstenholme is a name that might refer to several figures but is most commonly associated with the British mathematician known for his work in number theory. He made significant contributions in the 19th century, particularly in the study of algebraic transformations and elliptic functions.
Karl Prachar does not appear to be a widely recognized figure or term based on the information available up to October 2021. It's possible that he is a private individual, a local or niche figure, or a name that has gained prominence after that date.
Kevin McCurley is a notable figure in the field of cryptography and computer science. He is best known for his work in areas such as cryptographic algorithms, security protocols, and the theoretical foundations of cryptography. McCurley has contributed to various aspects of the field, including the development of cryptographic techniques and the study of their properties. He is associated with academic and research institutions and may have published numerous papers and articles in scientific journals.
Michinori Yamashita is a fictional character from the "Kamen Rider" series, specifically featured in "Kamen Rider 555" (or "Kamen Rider Faiz"), which aired in 2003-2004. In the series, he is a secondary character who becomes involved in the conflict between humans and the Orphenoch, a group of mutated beings.
Norman J. Pullman is a renowned American physicist known for his contributions to the fields of condensed matter physics and statistical physics. His research often focuses on topics such as phase transitions, magnetism, and the behavior of complex systems. In addition to his scientific work, he may have written or co-authored numerous articles and books related to his field. If you are referring to a different context or a specific work by Norman J. Pullman, please provide more details.
Peter Roquette is a prominent mathematician known for his contributions to various areas of mathematics, particularly in the fields of topology, algebra, and mathematical logic. He is also recognized for his work in the foundations of mathematics and for exploring connections between mathematical theories and philosophical questions. Roquette has been involved in education and academic research, and he has authored numerous papers and works in mathematics.
Trygve Nagell is not a widely recognized public figure or term within general knowledge up to my last training cut-off in October 2023. It's possible that he could be a private individual or someone who gained prominence or relevance after that date.
V. Kumar Murty is an Indian mathematician known for his contributions to number theory and related fields. He is recognized for his work in areas such as modular forms, algebraic geometry, and arithmetic geometry. Murty has published numerous research papers and has been involved in various academic and educational initiatives. In addition to his research, he is also known for mentoring students and contributing to mathematical education.
Wang Yuan (also known as Wang Yüan) was a prominent Chinese mathematician, particularly known for his contributions to number theory and algebra. He was born on April 19, 1912, and passed away on September 17, 2006. Wang Yuan made significant contributions to the development of mathematics in China and was involved in mathematics education. He is often recognized for his work in promoting mathematics in the Chinese academic community.
The term "genus character" typically refers to the distinguishing features or characteristics that define a genus in biological classification. In taxonomy, the genus is a rank in the hierarchical classification system that groups species that are closely related to each other. Genus characters can include a variety of traits such as: 1. **Morphological Features:** These are physical characteristics, such as size, shape, structure, and color of the organisms that belong to that genus.
Proizvolov's identity is a mathematical result related to combinatorics and, more specifically, to enumerative geometry and the study of plane partitions. It is named after the Russian mathematician Vyacheslav Proizvolov. In essence, Proizvolov's identity connects the counting of certain combinatorial structures, often through a generating function or through some algebraic identity. The identity can be used to derive results about integer partitions, multinomial coefficients, and more.
The Feit-Thompson conjecture is a statement in group theory, which is a branch of mathematics that studies the algebraic structure known as groups. The conjecture was proposed by Walter Feit and John G. Thompson in their famous work in the 1960s on finite groups. The conjecture itself states that every finite group of odd order is solvable.
Gilbreath's conjecture is an observation in number theory regarding the differences between consecutive prime numbers. It asserts that if you take the sequence of prime numbers and repeatedly form new sequences by subtracting each prime from the next one, the resulting sequences will always contain primes. More formally, consider a list of prime numbers \( p_1, p_2, p_3, \ldots \).

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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