Cooperative binding refers to a phenomenon observed in biochemistry and molecular biology, where the binding of a ligand (such as a substrate, hormone, or other signaling molecules) to a protein influences the binding affinity of additional ligand molecules to the same protein. This can lead to a more significant response than would be expected from independent binding events.
In topology, a **covering space** is a topological space that "covers" another space in a specific, structured way. Formally, a covering space \( \tilde{X} \) of a space \( X \) is a space that satisfies the following conditions: 1. **Projection**: There is a continuous surjective map (called the covering map) \( p: \tilde{X} \to X \).
Quantum mysticism is a term that refers to a blend of concepts from quantum physics and mysticism or spirituality. It often involves the interpretation of quantum mechanics in a way that suggests parallels with mystical or spiritual experiences, though it can be controversial and is not widely accepted within the scientific community. Proponents of quantum mysticism might argue that principles such as non-locality, entanglement, or the observer effect in quantum mechanics support notions of interconnectedness and the profound nature of consciousness.
In a mathematical context, a **cusp** refers to a point on a curve where the curve has a sharp point or a singularity, which often results from the curve failing to be smooth at that location. In more detail: 1. **Geometry and Curves**: A cusp is typically associated with certain types of curves, such as the cusp of a cubic function or the cusps of a hypocycloid.
Dagfinn Føllesdal is a Norwegian philosopher known for his work in the fields of logic, philosophy of language, philosophy of mind, and theoretical computer science. He has made significant contributions to areas such as the nature of meaning, the philosophy of mathematics, and the cognitive sciences. Føllesdal has also been involved in various philosophical debates and has published numerous papers and books throughout his academic career.
Davenport–Schinzel sequences are a concept in combinatorial geometry and discrete mathematics. They provide a way to count sequences of certain elements that meet specific restrictions. The main idea is to consider sequences formed from a finite set of symbols, where certain pairs of symbols cannot appear as consecutive terms in the sequence. ### Definition A **Davenport–Schinzel sequence** is defined over a set of symbols and contains restrictions on how symbols can be repeated.
David H. Munro is a notable figure, particularly recognized for his contributions to academia or specific fields. However, without additional context, it is challenging to provide detailed information about him, as multiple individuals could share that name and various domains might be relevant, such as mathematics, literature, or business.
As of my last knowledge update in October 2021, there isn't widely recognized information about a person named Déborah Oliveros. It is possible that she could be a public figure who has gained recognition after that date, or she may not be widely known.
The Dehn function is a concept from geometric group theory that measures the difficulty of filling loops in a space with disks. More specifically, it is associated with a finitely presented group and examines how one can fill in the 2-dimensional surfaces (disk-like structures) associated with the relations of that group.
The Demidov Prize is a prestigious award in the field of science, particularly in the areas of physics and mathematics. Established in 1884 by the Demidov family, the prize recognizes outstanding contributions to these fields. The award is named after the Demidov family, known for their significant contributions to Russian industry and philanthropy. The prize is awarded annually, often alternating between the two fields, and it is considered one of the highest honors in Russian science.

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