As of my last knowledge update in October 2021, there isn't prominent information about a person named Sandra Di Rocco who stands out in news or history. It is possible that she could be a private individual, a professional in a specific field, or someone who has gained recognition after my last update.
Sheldon Katz is a mathematician known for his work in various fields, particularly in algebra and combinatorics. He may also be associated with educational contributions and research in mathematics. However, it's possible that you may be referring to something more specific or another individual with the same name.
Simon Donaldson is a prominent British mathematician known for his contributions to differential geometry and gauge theory, particularly in relation to topology and the geometry of four-dimensional manifolds. Born on August 5, 1957, he is best known for his work in the mid-1980s, where he proved important results concerning the topology of four-manifolds and established the existence of certain classes of manifold that cannot be constructed using standard techniques from algebraic topology.
Walter Lewis Baily Jr. was a significant figure in the field of psychology, particularly known for his work related to the Baily System, which he developed for assessing psychological traits and characteristics. While information about him may not be widely available, his contributions in the realm of psychological assessment and evaluation have had an impact on both research and practice in psychology.
Susan Jane Colley could refer to a specific individual, but without additional context, it's hard to provide precise information. She might be a notable person in academia, literature, or another field, or she could simply be a private individual.
Wu Wenjun was a renowned Chinese mathematician known for his contributions to various fields of mathematics, particularly in topology, algebra, and mathematical logic. He was born on October 12, 1916, and passed away on July 30, 2017. Wu was also notable for his work in promoting mathematics education in China and was influential in the development of mathematical research in the country.
As of my last knowledge update in October 2021, Terence Gaffney is not widely recognized as a public figure or a notable entity within the broad fields of academia, entertainment, or politics. It's possible that he could be a private individual or someone who has become notable after my last update.
Exceptional Lie algebras are a special class of Lie algebras that are neither classical nor affine. They are characterized by their exceptional properties, most notably their dimension and the structure of their root systems. Unlike the classical Lie algebras (which include types A, B, C, D corresponding to the classical groups, and E, F, G corresponding to exceptional types), the exceptional Lie algebras cannot be directly described in terms of standard matrix groups.
Cohomological invariants are tools used in algebraic topology, algebraic geometry, and related fields to study the properties of topological spaces, algebraic varieties, or other mathematical structures through their cohomology groups. Cohomology provides a way to classify and distinguish topological spaces by associating algebraic invariants to them.
The Mumford–Tate group is a concept from algebraic geometry and number theory that arises in the study of abelian varieties and the associated Hodge structures. It is named after mathematicians David Mumford and John Tate. In the context of algebraic geometry, an abelian variety is a projective algebraic variety that has a group structure.
A Spaltenstein variety is a specific type of algebraic variety that is studied in the context of representation theory and algebraic geometry, particularly in relation to the study of finite dimensional representations of algebraic groups or algebraic varieties. Spaltenstein varieties arise in the context of the so-called "nilpotent cones." More specifically, they can be associated with certain types of objects called "nilpotent elements" in the representation theory of Lie algebras or algebraic groups.
The Taniyama group, named after mathematician Yutaka Taniyama, is a group in the context of number theory that is closely related to the study of elliptic curves and modular forms. It is particularly famous for its connection to the Taniyama-Shimura-Weil conjecture, which posited that every elliptic curve over the rational numbers is associated with a modular form.
A **Gaussian integer** is a complex number of the form \( a + bi \), where \( a \) and \( b \) are both integers, and \( i \) is the imaginary unit with the property that \( i^2 = -1 \). In other words, Gaussian integers are the set of complex numbers whose real and imaginary parts are both whole numbers.
A biordered set is a mathematical structure that is a type of ordered set with two compatible order relations. More formally, a set \( S \) is called a biordered set if it is equipped with two binary relations \( \leq \) and \( \preceq \) that satisfy certain axioms.
A cancellative semigroup is a specific type of algebraic structure used in the field of abstract algebra. A semigroup is defined as a set equipped with an associative binary operation. A semigroup \( S \) is called cancellative if it satisfies the cancellation property. Here's a more formal definition: Let \( S \) be a semigroup with a binary operation \( \cdot \).
In mathematics, particularly in the field known as category theory, a "category" is a fundamental structure that encapsulates abstract mathematical concepts and their relationships. Categories provide a unifying framework for various areas of mathematics by focusing on the relationships (morphisms) between objects rather than on the objects themselves. A category consists of: 1. **Objects**: These can be any mathematical entities, such as sets, groups, topological spaces, or other structures.
Dominican amber is a type of fossilized tree resin that originates from the Dominican Republic, primarily from the regions of the Cordillera Central and surrounding areas. It is estimated to be around 20 to 40 million years old, dating back to the Oligocene to Miocene epochs.
As of my last update in October 2023, "Epigroup" does not refer to a widely recognized term, company, or concept in major fields such as business, technology, or science. It’s possible that it could be a specific brand, organization, or a term used in a niche context that hasn't gained significant recognition or coverage.
The Finite Lattice Representation Problem is a concept in the field of lattice theory, which deals with partially ordered sets that have specific algebraic properties. In particular, this problem pertains to determining whether a given finite partially ordered set (poset) can be represented as a lattice.
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





