The Seshadri constant is an important concept in algebraic geometry, particularly in the study of ample line bundles on projective varieties. It measures the "local positivity" of an ample line bundle.
Algebraic geometers are mathematicians who specialize in the field of algebraic geometry, a branch of mathematics that studies the properties and relationships of geometric objects defined by polynomial equations. Algebraic geometry combines techniques from abstract algebra, particularly commutative algebra, with geometric concepts. Algebraic geometry focuses on the solutions of systems of polynomial equations and examines the geometric structures (often called algebraic varieties) that arise from these solutions.
Alexei Kostrikin is a notable figure in the field of mathematics, particularly known for his contributions to algebra and mathematical logic. He is a Russian mathematician who has made significant advancements in the understanding of algebraic structures and their properties. Kostrikin is associated with various mathematical institutions and has published numerous works in his area of expertise.
The Cardy formula is a key result in statistical mechanics and conformal field theory (CFT) that relates the entropy of a quantum system to the area of its boundary, particularly in the context of black hole thermodynamics and 2-dimensional conformal field theories. It provides a way to calculate the entropy of a system using the scaling dimensions of its primary fields.
Andrei Roiter is a Russian-born artist known for his work in painting, drawing, and conceptual art. He is recognized for his unique blend of styles and techniques, often incorporating elements of surrealism, abstraction, and symbolic imagery. Roiter's art typically explores themes such as identity, memory, and the human experience. He has exhibited his work in various galleries and art institutions worldwide.
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.
As of my last knowledge update in October 2023, Alexander Skopin is not widely known in mainstream media or public discourse. It is possible that he could be a private individual, a professional in a specific field, or someone who has gained recognition after my last update.
Bill Casselman is a mathematician known for his work in the field of mathematics, particularly in analysis and number theory. He has made significant contributions to mathematical education and has created a variety of online resources, including mathematical puzzles and explanations. He has a popular website featuring mathematical problems, discussions, and insights aimed at both students and educators. Additionally, Casselman was involved in developing mathematical software and has published academic papers.
Abbas Wasim Efendi is a title that likely refers to a historical figure or scholar from the Ottoman Empire, where "Efendi" is an honorific title commonly used in Turkish-speaking areas. However, without further specific context, it's challenging to provide more detailed information.
Carolyn Yackel is a mathematician known for her work in the field of mathematics education, particularly in the areas of topology and mathematics communication. She has made significant contributions to the outreach and promotion of mathematical learning and understanding. Yackel is also known for her research in mathematics education, exploring how people learn math and how teaching practices can be improved.
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.
The Luzin \( N \) property is a concept from real analysis and functional analysis, particularly in the context of measurable functions. A function \( f: \mathbb{R} \to \mathbb{R} \) is said to have the Luzin \( N \) property if for every measurable set \( E \) of finite measure, the image \( f(E) \) is also a measurable set of finite measure.
A **measure space** is a fundamental concept in measure theory, which is a branch of mathematics that deals with the study of size, length, area, and volume in a rigorous way. A measure space provides a framework for quantifying the "size" of sets, particularly in the context of integration and probability theory.
As of my last knowledge update in October 2021, Anna Romanowska could refer to a specific individual or figure in various contexts, but there is not a widely recognized or notable person by that name in public records or popular culture. It is possible that Anna Romanowska could be a private individual, a professional in a certain field, or a fictional character.
Michael Kölling is an academic and computer scientist known for his work in computer science education, particularly in the context of programming and introductory computing concepts. He is one of the developers of the Greenfoot educational software, which is designed to help beginners learn programming through creating 2D games and simulations. Kölling has also been involved in the development of the BlueJ programming environment, which is widely used for teaching Java programming to beginners.
Mordechai Ben-Ari is a prominent figure in the field of computer science, particularly known for his contributions to programming languages and their semantics, as well as formal verification. He is also recognized for his work on software engineering and educational methods in computer science. Ben-Ari has authored several influential books and papers that are widely used in academia. His work often emphasizes the importance of clarity and rigor in teaching programming and theoretical computer science concepts.

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