The degree of an algebraic variety is a fundamental concept in algebraic geometry that provides a measure of its complexity and size. Specifically, it reflects how intersections with linear subspaces behave in relation to the variety.
John Love is known for his work as a scientist and researcher, particularly in the fields of polymer science and materials chemistry. He has made significant contributions to the understanding and development of novel materials with applications in various industries.
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.
Benjamin Peirce (1809–1880) was an American mathematician and philosopher known for his significant contributions to various fields, including mathematics, astronomy, and logic. He was a professor at Harvard University and played a crucial role in the development of mathematical logic and set theory. Peirce is particularly recognized for his work in the areas of algebra, and he made notable contributions to the field of geodesy.
Bhāskara II, also known as Bhāskara Aiyangār, was a prominent Indian mathematician, astronomer, and poet who lived during the 12th century (approximately 1114–1185 CE). He is best known for his work in mathematics, particularly in the fields of calculus and number theory, and for his contributions to astronomy.
Efim Zelmanov is a prominent mathematician known for his contributions to the field of algebra, particularly in the area of group theory. Born on November 16, 1941, in Tashkent, Uzbekistan, he is best known for his work on the structure of groups and for proving the restricted Burnside problem in the 1990s, which garnered significant attention in the mathematical community.
Michael Artin is a prominent mathematician known for his contributions to algebra, particularly in algebraic geometry and related fields. He has made significant advancements in the theory of schemes, algebraic groups, and the study of rational points on algebraic varieties. Artin is noted for his work on the Artin–Mumford conjecture and for introducing the concept of "Artin rings," which plays an important role in algebraic geometry.
A **power automorphism** is a concept from the field of group theory, a branch of mathematics. To understand it, we first need to define a few key terms: - **Automorphism**: An automorphism is a function from a mathematical structure to itself that preserves the structure's operations.
This is a good concept. For the ammount most people save, having a simple and easy to apply investment thesis is the best way to go.
Video 1.
All the financial advice you’ll ever need fits on a single index card
. Source.
The name makes absolutely no sense in modern terms, as nor colors nor light are used directly in the measurements. It is purely historical.
PostgreSQL logging by Ciro Santilli 40 Updated 2025-07-16
Ubuntu 21.10 has a certain default level of logging by default to:
/var/log/postgresql/postgresql-13-main.log
but it does not log everything, only/mostly errors it seems.
Setting:
log_statement = 'all'
under:
/etc/postgresql/13/main/postgresql.conf
and then restarting the server:
sudo service restart postgresql
just works.
Constructive nonstandard analysis is an approach that combines ideas from nonstandard analysis and constructive mathematics. Nonstandard analysis, developed primarily by Abraham Robinson in the 1960s, introduces a framework for dealing with infinitesimals and infinite numbers using hyperreal numbers, allowing for a rigorous treatment of concepts that extend the classical mathematics.
Parity learning is a concept that typically refers to a type of learning or training strategy in machine learning and artificial intelligence, particularly in the context of learning from imbalanced or challenging datasets. The term can have specific meanings depending on the domain and context. In general, the idea behind parity learning involves ensuring that the model or system can recognize and properly weigh instances of different classes or categories, especially in scenarios where one class may be underrepresented.

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