"Oedipus Aegyptiacus" is a work by the German philosopher and cultural historian Georg Wilhelm Friedrich Hegel, published in the early 19th century. It deals with the representation of Egyptian culture and its influence on the development of Western thought and civilization. The title plays on the figure of Oedipus from Greek mythology, who is often associated with themes of fate, knowledge, and identity, and it connects these themes to the ancient Egyptian context.
The Brusselator is a mathematical model used to describe a reaction-diffusion system, particularly in the context of chemical kinetics. It was introduced by the Belgian physicists Ilya Prigogine and his collaborators in their studies of nonlinear dynamic systems. The Brusselator model is a simplified representation of autocatalytic reactions, where the autocatalytic processes lead to the emergence of complex behaviors such as oscillations and pattern formation.
In graph theory, a **clique cover** of a graph is a partition of the vertex set into cliques. A **clique** is a subset of vertices that forms a complete subgraph, meaning every pair of vertices within the subset is connected by an edge. Therefore, a clique cover is a way to divide the graph's vertices into groups where each group is a clique.
In graph theory, a **dominating set** for a graph \( G = (V, E) \) is a subset \( D \subseteq V \) of the vertices such that every vertex not in \( D \) is adjacent to at least one vertex in \( D \).
"Nonblocker" can refer to different concepts depending on the context in which it is used. However, it is not a widely recognized term in a specific field. Here are some potential interpretations: 1. **In Computing**: It could refer to a system or component that doesn't block the execution of processes or threads, allowing multiple operations to occur simultaneously without waiting for previous ones to finish. This concept is often important in non-blocking algorithms or asynchronous programming.
Spatial bifurcation refers to a phenomenon in dynamical systems where the stability and structure of solutions change as parameters vary, specifically within spatially extended systems. This concept is widely used in fields such as physics, biology, and ecology, where the spatial distribution of a system's components plays a crucial role in its behavior. In a typical bifurcation scenario, the system might exhibit different behaviors or patterns (such as periodic structures, waves, or steady states) in different regions of space.
An Arnold tongue is a concept from dynamical systems and theoretical physics, particularly in the study of nonlinear systems and bifurcations. It describes the regions of stability for periodic orbits in a nonlinear dynamical system as a function of two parameters, typically representing frequency and amplitude of a driving force. The term "Arnold tongue" is named after the mathematician Vladimir Arnold, who explored these systems.
BC Brno is a basketball club based in Brno, Czech Republic. The team has a history of participating in various international competitions, including tournaments such as the FIBA EuroCup, the Champions League, and others that include clubs from across Europe. BC Brno has a notable presence in the Czech basketball league and has been competitive on the international stage as well. The club's involvement in these competitions provides opportunities for showcasing talent and gaining experience against a variety of teams from different countries.
Diastole is the phase of the cardiac cycle during which the heart muscle relaxes and the chambers of the heart fill with blood. It occurs after systole, which is the phase when the heart muscles contract to pump blood out of the heart. Diastole is crucial for ensuring that the heart has enough blood to pump out during the next contraction.
Probabilistic causation refers to the conceptual framework in which causation is understood in probabilistic rather than deterministic terms. In traditional deterministic causation, an event (the cause) leads to a specific outcome (the effect) with certainty. However, in many real-world scenarios, causes do not guarantee a specific effect but rather influence the likelihood or probability of that effect occurring.
A Heyting algebra is a specific type of mathematical structure that arises in the field of lattice theory and intuitionistic logic. Heyting algebras generalize Boolean algebras, which are used in classical logic, by accommodating the principles of intuitionistic logic. ### Definition A Heyting algebra is a bounded lattice \( H \) equipped with an implication operation \( \to \) that satisfies certain conditions.
Algebraic cobordism is a cohomology theory in algebraic geometry that emerges from the study of algebraic cycles and their intersections. It provides a space to study algebraic varieties in a manner similar to how bordism theories function in topology. The notion of cobordism in algebraic geometry can be understood as a way to classify algebraic varieties (or schemes) through the idea of "cobordism classes" that respect certain algebraic operations and relations.
In the context of graph theory and topology, a **clique complex** is a type of simplicial complex that is constructed from the cliques of a graph. A clique, in graph terminology, refers to a subset of vertices that are all adjacent to each other, meaning there is an edge between every pair of vertices in that subset.
A combinatorial map is a mathematical structure used primarily in the field of topology and combinatorial geometry. It provides a way to represent and manipulate geometrical objects, particularly in the context of surfaces and subdivision of spaces. The main features of a combinatorial map include: 1. **Vertex-Edge-Face Representation**: Combinatorial maps describe the relationships between vertices (0-dimension), edges (1-dimension), and faces (2-dimension).
In topology, the **cone** is a fundamental construction that captures the idea of collapsing a space into a single point. Specifically, the cone over a topological space \( X \) is denoted as \( \text{Cone}(X) \) and can be described intuitively as "taking the space \( X \) and stretching it up to a point.
A duocylinder is a geometric shape that can be described as the three-dimensional analogue of a two-dimensional rectangle, specifically in the context of higher-dimensional geometry. More formally, a duocylinder is the Cartesian product of two cylinders, which means it is the result of taking two cylinders and combining their dimensions.

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