Douady rabbit by Wikipedia Bot 0
The Douady rabbit is a fractal related to the field of complex dynamics. It is named after mathematician Adrien Douady, who studied and popularized this type of fractal. The Douady rabbit is generated by iterating a specific quadratic polynomial, similar to how the Mandelbrot set and Julia sets are created. The topology of the Douady rabbit resembles the shape of a rabbit, which is why it has been given that name.
Siegel disc by Wikipedia Bot 0
A Siegel disc is a concept in complex dynamics, a branch of mathematics that studies the behavior of iterated functions in the complex plane. It is associated with the dynamics of certain types of complex functions, particularly polynomial maps.
Transport phenomena is a field of study that deals with the transfer of mass, momentum, and energy in physical systems. It encompasses the mechanisms and processes that govern how substances move and interact under various conditions. The main areas of transport phenomena include: 1. **Mass Transfer**: This involves the movement of chemical species, such as in diffusion and convection processes.
A **dissipative system** is a system in which energy is not conserved due to the presence of non-conservative forces like friction, viscosity, or other forms of resistance. In these systems, energy is lost, often converted into heat or other forms of energy that are not useful for doing work. This leads to a decrease in the total mechanical energy of the system over time.
Noise-induced order is a phenomenon observed in certain systems, particularly in the context of statistical mechanics and complex systems, where the presence of noise (random fluctuations) can lead to the emergence of ordered states or structures that would not be present in the absence of noise. While noise is generally thought to disrupt order and coherence, under specific conditions, it can actually promote the formation of organized patterns or collective behaviors. This counterintuitive effect can be explained in several ways, depending on the context.
Oregonator by Wikipedia Bot 0
The Oregonator is a mathematical model that describes oscillatory chemical reactions, specifically in the context of the Belousov-Zhabotinsky (BZ) reaction. It is a simplified version of a more complex reaction mechanism and was developed to study the dynamics of nonlinear chemical systems. Named after the state of Oregon, where the model was formulated in the 1970s by chemist Robert W. F.
Parametric array by Wikipedia Bot 0
A **parametric array** generally refers to a collection of objects, values, or functions in the context of a parameterized model, often used in fields like mathematics, computer science, and engineering. The term can vary in meaning depending on the context in which it is used. Below are a few interpretations based on different fields: 1. **Mathematics and Statistics**: In mathematics, a parametric array can refer to a set of data or functions defined by parameters.
Spiral wave by Wikipedia Bot 0
A spiral wave is a type of wave pattern that occurs in various physical and biological systems. It is characterized by a spiraling configuration that can propagate outward in a circular or spiral shape. Spiral waves are commonly observed in several contexts, including: 1. **Physics**: In fluid dynamics, spiral waves can appear in scenarios such as vortex structures in turbulent flows.
Elongated pyramid by Wikipedia Bot 0
An elongated pyramid, often referred to as an "oblong pyramid," is a geometric figure that resembles a standard pyramid but has a rectangular or elongated base rather than a square one. The key characteristics of an elongated pyramid include: 1. **Base Shape**: Instead of a square base, it has a rectangular or oblong base, which means the length and width are different.
An elongated triangular bipyramid is a type of polyhedron that can be categorized as an Archimedean solid. It is formed by taking a triangular bipyramid and extending it along its vertical axis, effectively stretching it. To understand its structure, consider the following: - A standard triangular bipyramid is created by joining two tetrahedral pyramids base to base, which results in a shape that has six vertices, nine edges, and eight triangular faces.
The great deltoidal icositetrahedron is a type of convex polyhedron, more specifically one of the Archimedean solids. It is characterized by having 24 faces, of which 12 are regular octagons and 12 are equilateral triangles. Here are some key properties of the great deltoidal icositetrahedron: - **Vertices**: It has 48 vertices. - **Edges**: It features 72 edges.
A heptagonal antiprism is a type of polyhedron characterized by its two parallel heptagonal (seven-sided) bases and a series of triangular faces connecting the corresponding edges of these bases. In more detail, the heptagonal antiprism has the following properties: - **Faces**: It consists of 9 faces in total - 2 heptagonal faces and 7 triangular lateral faces.
The great disdyakis dodecahedron is a type of convex polyhedron that is part of the broader family of Archimedean solids. Specifically, it is classified as a deltahedra, which means that all of its faces are equilateral triangles. Here are some characteristics of the great disdyakis dodecahedron: 1. **Faces**: It has 120 triangular faces. 2. **Vertices**: There are 60 vertices.
Thymio by Wikipedia Bot 0
Thymio is an educational robot designed to help users, especially children, learn programming, robotics, and problem-solving skills. Developed by the University of Geneva and the Thymio Project, Thymio features a user-friendly design and a variety of sensors that allow it to interact with its environment.
The Great Hexacronic Icositetrahedron, also known as a "great hexacronic icositetrahedron" or "great hexacronic icosahedron," is a type of convex uniform hyperbolic polyhedron. It belongs to the family of polyhedra that can be described using a system of vertices, edges, and faces in higher-dimensional space.
The great icosidodecahedron is a convex Archimedean solid and a type of polyhedron. It is characterized by its unique arrangement of faces, vertices, and edges. Specifically, the great icosidodecahedron has: - **62 faces**: which consist of 20 regular hexagons and 12 regular pentagons. - **120 edges**. - **60 vertices**.
The great rhombidodecacoron is a convex uniform polychoron (a four-dimensional shape) in the context of higher-dimensional geometry. It is categorized under the family of Archimedean solids, specifically as a uniform spatial structure extending into four dimensions. This shape is distinguished by its vertices, edges, and faces, where it consists of 120 rhombic faces and 60 dodecahedral cells.
The great rhombic triacontahedron is a type of convex Archimedean solid, which is a class of polyhedra characterized by having regular polygons as their faces, with the same arrangement of faces around each vertex.
The great snub dodecicosidodecahedron is a type of Archimedean solid, which is a highly symmetrical, convex polyhedron with regular faces of more than one type. Specifically, the great snub dodecicosidodecahedron features: - **Faces**: It has a total of 92 faces, comprised of 12 regular pentagons, 20 regular hexagons, and 60 equilateral triangles.

Pinned article: ourbigbook/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