The Lovász conjecture is a well-known conjecture in combinatorial discrete mathematics, specifically in the field of graph theory. Proposed by László Lovász in 1970, the conjecture pertains to the structure of edge-coloring in a certain class of graphs known as Kneser graphs. To explain the conjecture, we first need to define Kneser graphs.
"Free drift" can refer to different concepts depending on the context, but in a general sense, it often describes a state where something is allowed to move or operate without restraint or control.
K-theory is a branch of mathematics that studies vector bundles and more generally, topological spaces and their associated algebraic invariants. It has applications in various fields, including algebraic geometry, operator theory, and mathematical physics. The core idea in K-theory involves the classification of vector bundles over a topological space. Specifically, there are two main types of K-theory: 1. **Topological K-theory**: This version studies topological spaces and their vector bundles.
In group theory, a branch of abstract algebra, a **no small subgroup** refers to a specific property of groups that have no nontrivial subgroups of a small size compared to the group itself. More formally, a group \( G \) is said to be a "no small subgroup" group if it does not have any nontrivial subgroups whose order is less than a certain threshold relative to the order of \( G \).
As of my last knowledge update in October 2023, there is no widely recognized individual or entity named Anton Sushkevich. It is possible that Anton Sushkevich could refer to a private individual or a lesser-known figure in a specific field, such as business, academia, or arts, but without additional context, it is difficult to provide specific information.
As of my last knowledge update in October 2021, Archibald Read Richardson did not refer to a widely recognized person or concept. It might be a specific individual's name or could refer to a lesser-known entity or subject that hasn't gained significant public attention. If it's something that emerged more recently, I may not have information on it.
As of my last knowledge update in October 2021, there is no widely recognized public figure, event, or entity by the name "Bethany Rose Marsh." It's possible that she could be a private individual or that new developments have occurred since then. If Bethany Rose Marsh has emerged as a notable figure or topic after my last update, I would not have that information. You may want to check the latest news or sources for the most current information.
A vacuum is a space that is essentially devoid of matter, meaning it has very low pressure and density, and contains very few particles, such as atoms or molecules. In an ideal vacuum, there would be no air or any other substances; however, achieving a perfect vacuum is practically impossible. In physics, vacuums are often described in terms of pressure, with standard atmospheric pressure at sea level being about 101,325 pascals (or 1 atmosphere).

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