A Meringer graph is a specific type of mathematical graph that is known for its unique properties related to vertex connectivity. The Meringer graphs are typically constructed using certain combinatorial techniques and can serve as examples in graph theory studies. One of the notable features of Meringer graphs is that they can be used to demonstrate various aspects of connectivity, cycles, and other graph properties.
The Möbius ladder is a type of geometric structure that combines concepts from topology and graph theory. Specifically, it is a type of graph that can be visualized as a ladder with a twist, similar to the famous Möbius strip.
Modified Compression Field Theory (MCFT) is an advanced theoretical framework used in the analysis of reinforced concrete structures, particularly focusing on understanding the behavior of concrete under various loading conditions, including compression. It is an extension of the original Compression Field Theory (CFT), which describes how structural elements behave when subjected to lateral forces, especially in the context of shear or diagonal tension.
The Hall–Janko graph is a well-known graph in the field of graph theory and combinatorial design. It is named after mathematicians Philip Hall and J. M. Janko. The graph has the following characteristics: 1. **Vertices and Edges**: The Hall–Janko graph consists of 100 vertices and 300 edges. 2. **Regular**: It is a strongly regular graph with parameters \((100, 30, 0, 12)\).
The Halved Cube Graph, often denoted as \( Q_n' \), is a specific graph that is derived from the n-dimensional hypercube graph \( Q_n \). The hypercube graph \( Q_n \) consists of vertices representing all binary strings of length \( n \), where two vertices are connected by an edge if their corresponding binary strings differ by exactly one bit.
The McKay–Miller–Širáň graph is a notable bipartite graph that is specifically defined for its unique properties. It is a strongly regular graph, characterized as a (0, 1)-matrix representation. Key properties of this graph include: 1. **Vertex Count**: It has a total of 50 vertices. 2. **Regularity**: Each vertex connects to exactly 22 other vertices.
The McLaughlin graph is a particular type of graph in the field of graph theory. It is an undirected graph that has some interesting properties and is often studied in relation to cliques, colorings, and various other graph properties. Here are some key characteristics of the McLaughlin graph: 1. **Vertices and Edges**: The McLaughlin graph has 12 vertices and 30 edges.
A Platonic graph is a representation of a Platonic solid, which are the five regular, convex polyhedra that can exist in three-dimensional space. These solids are characterized by having faces that are congruent regular polygons and the same number of faces meeting at each vertex. The five Platonic solids are: 1. Tetrahedron (4 triangular faces) 2. Cube (6 square faces) 3. Octahedron (8 triangular faces) 4.
The Robertson graph is a specific type of strongly regular graph named after the mathematician Neil Robertson. It is a well-known example in the study of strongly regular graphs, which are a class of graphs characterized by regularity conditions on their vertex connectivity. The Robertson graph has the following properties: - It has 12 vertices. - Each vertex has a degree of 6 (i.e., it is 6-regular). - For any two adjacent vertices, there are exactly 3 common neighbors.
The Petersen graph is a well-known and important object in the field of graph theory. It is a specific undirected graph that has several interesting properties. Here are some key features of the Petersen graph: 1. **Vertices and Edges**: The Petersen graph consists of 10 vertices and 15 edges.
Specim is a company known for its expertise in developing and manufacturing hyperspectral imaging systems and sensors. Founded in Finland in the early 1990s, Specim specializes in providing advanced technology for a variety of applications, including environmental monitoring, food quality inspection, agricultural analysis, and industrial applications. Hyperspectral imaging involves capturing and processing information from across the electromagnetic spectrum, allowing for the analysis of materials based on their spectral signatures.
A vegetation index is a quantitative measure that describes the presence and condition of vegetation in a specific area, typically derived from remote sensing data. Vegetation indices are often used in environmental monitoring, agriculture, forestry, and land management to assess plant health, biomass, and coverage. They leverage the reflectance properties of vegetation, which differ based on the amount of chlorophyll present in plants. ### Key Characteristics: 1. **Reflectance Properties**: Vegetation reflects different wavelengths of light.
Rook's graph is a type of graph used in graph theory that is derived from the chessboard analogy. Specifically, it represents the possible movements of a rook in chess. To describe Rook's graph more formally: 1. **Vertices**: The vertices of the graph correspond to the squares on a chessboard.
The Tutte–Coxeter graph is a well-known graph in the study of graph theory and combinatorics. It is a bipartite graph with some interesting properties and significance. Here are some key features of the Tutte–Coxeter graph: 1. **Vertices and Edges**: The Tutte–Coxeter graph consists of 12 vertices and 18 edges.
The Wagner graph is a specific type of undirected graph that is notable in the study of graph theory. It has 12 vertices and 30 edges, and it is characterized by being both cubic (each vertex has a degree of 3) and 3-regular. One of the most interesting properties of the Wagner graph is that it is a non-planar graph, meaning it cannot be drawn on a plane without edges crossing.
In graph theory, a Wells graph is a specific type of graph that is defined based on the properties of certain combinatorial structures. Specifically, Wells graphs arise in the context of geometric representation of graphs and are related to the concept of unit distance graphs. A Wells graph is characterized by its degree of vertex connectivity and geometric properties, particularly in higher-dimensional spaces. It often finds applications in problems involving networking, combinatorial designs, and the study of geometric configurations.
A Shuffle-Exchange Network (SEN) is a type of multistage interconnection network used primarily in parallel computing architectures. It is designed to facilitate efficient communication between multiple processors or nodes within a system. The Shuffle-Exchange Network supports operations by efficiently routing data between processors in a way that can help minimize delays and improve communication bandwidth. ### Key Characteristics: 1. **Structure**: The network consists of multiple stages of switches connected in a specific topology.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - Infinitely deep tables of contents:
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