The term "Russian relativity theorists" generally refers to a group of physicists and mathematicians from Russia who have contributed to the field of relativity, particularly the theories put forth by Albert Einsteinspecial relativity and general relativityas well as their applications and implications.
The term "En-ring" isn't widely recognized or defined in mainstream literature or technology as of my last update in October 2023. It could potentially refer to a specific concept in a niche area, a brand name, a project, or perhaps a term that has arisen more recently.
In the context of Lie theory, a **Borel subalgebra** is a type of subalgebra of a Lie algebra that has certain important properties. Specifically, for a complex semisimple Lie algebra \(\mathfrak{g}\), a Borel subalgebra is a maximal solvable subalgebra.
The Hochster–Roberts theorem is a result in commutative algebra that provides a characterization of when a certain type of ideal is a radical ideal in a ring, specifically in the context of Noetherian rings.
In homological algebra, a **monad** is a particular construction that arises in category theory. Monads provide a framework for describing computations, effects, and various algebraic structures in a categorical context.
An **acyclic space** can refer to several concepts depending on the context, but it is most commonly associated with graph theory and algebraic topology. 1. **In Graph Theory**: An acyclic graph (or directed acyclic graph, DAG) is a graph with no cycles, meaning there is no way to start at any vertex and follow a sequence of edges to return to that same vertex.
Derived algebraic geometry is a modern field of mathematics that extends classical algebraic geometry by incorporating tools and concepts from homotopy theory, derived categories, and categorical methods. It aims to refine the geometric and algebraic structures used to study schemes (the fundamental objects of algebraic geometry) by considering them in a more flexible and nuanced framework that can handle various kinds of singularities and complex relationships.
The phrase "House with two rooms" doesn’t refer to a specific or widely recognized concept or title. However, it can evoke various interpretations depending on the context. Here are a few possibilities: 1. **Metaphorical Interpretation**: It might symbolize a simple or modest lifestyle, focusing on minimalism or the idea of contentment with what one has.
A **complex algebraic variety** is a fundamental concept in algebraic geometry, which is the study of geometric objects defined by polynomial equations. Specifically, a complex algebraic variety is defined over the field of complex numbers \(\mathbb{C}\). ### Definitions: 1. **Algebraic Variety**: An algebraic variety is a set of solutions to one or more polynomial equations. The most common setting is within affine or projective space.
Alexander Ostrowski (1878–1942) was a notable mathematician known for his contributions to number theory, algebra, and functional analysis. He made significant strides in various areas of mathematics, particularly in the theory of numbers and polynomials. Ostrowski is perhaps best recognized for Ostrowski's theorem on the distribution of prime numbers and for his work on the bounds of polynomial roots, as well as for various results regarding p-adic numbers.
A Varifold is a mathematical concept used in differential geometry and geometric measure theory. It generalizes the notion of a manifold by allowing for more flexibility in the way that "sheets" of the object can intersect and overlap. Varifolds are typically used to study objects that may not have a well-defined smooth structure everywhere, such as irregular shapes, and they are particularly useful for analyzing geometric issues in a more robust way than traditional manifolds.
In the context of lattice theory, a branch of mathematics that studies the properties of lattice structures, "lattice disjoint" refers to a specific relationship between two or more sublattices or elements within a lattice.
Billiken is a figure that originated in the early 20th century, often described as a symbol of good luck and happiness. It resembles a chubby, elf-like figure with a smiling face, pointed ears, and a tuft of hair on its head, often depicted sitting or reclining. The Billiken was created by an American art teacher named Florence Pretz in 1908.
Physics Bowl is an annual competition organized by the American Association of Physics Teachers (AAPT) for high school students in the United States and around the world. It is designed to challenge students' understanding of physics concepts and to promote interest in the subject. Participants typically form teams representing their schools, and they compete by answering a series of multiple-choice questions covering a range of physics topics, including mechanics, electricity, magnetism, thermodynamics, and modern physics.
An interval vector is a mathematical concept often used in various fields such as optimization, computer science, and data analysis. It typically represents a collection of intervals, where each interval denotes a range of values.
Sumner Starrfield is an American astrophysicist known for his work in the field of stellar evolution, particularly in the study of supernovae and the properties of white dwarfs. He has made significant contributions to the understanding of the processes that lead to the explosive deaths of stars and has been involved in research that helps predict the behavior of stars in their final stages. Starrfield has also been known for his role in academia, teaching and mentoring students in astrophysics.
Brian Banner is a fictional character from the Marvel Comics universe. He is primarily known as the father of Bruce Banner, who becomes the Hulk. Brian is often portrayed as an abusive and troubled figure, which contributes to the psychological issues that Bruce faces throughout his life. His relationship with Bruce is complex and has been explored in various comic book storylines, generally depicting him as a source of trauma for Bruce.
Radek Zelenka is a name that could refer to various individuals or topics, but as of my last update in October 2021, there isn't a widely known figure or concept explicitly associated with that name in popular culture, science, or current events.
"Charlie St. Cloud" is a 2010 film directed by Burr Steers and based on the novel "The Death and Life of Charlie St. Cloud" by Ben Sherwood. The movie stars Zac Efron in the title role, alongside Amanda Crew, Kim Basinger, and Ray Liotta. The story follows Charlie St. Cloud, a young man who has a tragic car accident that results in the death of his younger brother, Sam.
"It's Magic, Charlie Brown" is a 1981 animated television special based on the Peanuts comic strip by Charles M. Schulz. In this special, Charlie Brown's friend, Snoopy, performs magic tricks, but things go awry when Charlie Brown's kite gets stuck in a tree, leading to a series of comical mishaps. The story revolves around the theme of friendship and emphasizes the humorous interactions among the beloved Peanuts characters, showcasing their unique personalities.

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 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.
  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