The Planar Separator Theorem is a concept in computational geometry and graph theory which states that for any planar graph, it is possible to partition the vertices of the graph into three disjoint sets: X, Y, and S. The sets have the following properties: 1. **Small Separator Size**: The size of the set S (the separator) is proportional to the square root of the number of vertices in the graph.
Wagner's theorem is a result in graph theory that provides a characterization of planar graphs. Specifically, it states that a graph is planar if and only if it does not contain a subgraph that is a subdivision of the complete graph \( K_{5} \) (the complete graph on five vertices) or a subdivision of the complete bipartite graph \( K_{3,3} \) (the complete bipartite graph with three vertices in each part).
Here’s a list of some notable star systems located within the distance range of 55 to 60 light-years from Earth: 1. **Luyten 726-8** (also known as **GJ 725**) - This binary system contains two red dwarf stars, Luyten 726-8A and Luyten 726-8B.
"The Lucifer Principle: A Scientific Expedition into the Forces of History" is a book written by Howard Bloom, published in 1995. In this work, Bloom explores the concept of evil and its origins within human nature and society. He proposes that the forces that drive human behavior, including aggression, competition, and the darker aspects of our psychology, are deeply rooted in biological and evolutionary processes.
The Net-Map toolbox is a participatory research tool designed to facilitate stakeholder analysis and network mapping. It is primarily used in the contexts of governance, development, and policy-making to visualize the relationships and influence among various actors involved in a particular issue or system. The main components of the Net-Map toolbox typically include: 1. **Mapping Relationships**: Participants create visual maps that illustrate connections between different stakeholders, including their roles, interests, and the nature of their interactions.
A sociogram is a visual representation of social relationships within a group. It is often used in fields like sociology, psychology, and education to illustrate and analyze interpersonal dynamics, social structures, and group interactions. Sociograms can help identify patterns of communication, friendship, influence, or social hierarchies. Typically, a sociogram uses nodes (which represent individuals or entities) and edges (which represent relationships or interactions between them).
Structural cohesion refers to the degree to which components within a system or structure are interrelated and contribute to the overall function of that system. This concept is often discussed in the context of various fields such as software engineering, organizational behavior, and structural design. 1. **In Software Engineering**: Structural cohesion is one of the levels of cohesion that measures how closely related and focused the responsibilities of a single module or component are.
Threshold temperatures refer to specific temperature points that are critical in various scientific fields, including ecology, agriculture, and climate science. These temperatures can indicate the limits at which certain biological processes occur, such as growth, reproduction, or survival of organisms. Here are a few contexts in which threshold temperatures are relevant: 1. **Agriculture**: In crop science, threshold temperatures may refer to the minimum or maximum temperatures at which certain plants can grow or yield effectively.
A "vactrain," short for vacuum train, is a proposed mode of transportation that involves a train traveling in a low-pressure or vacuum tube. The concept is designed to reduce air resistance and friction, allowing the train to reach high speeds with greater energy efficiency compared to conventional trains. Key features of vactrain technology include: 1. **Vacuum Environment**: The train operates within a sealed tube that maintains a low-pressure environment, significantly reducing aerodynamic drag.
The balance point temperature refers to a specific temperature at which a building's heating system is neither required to add heat nor is any heat lost from the structure. In other words, it is the outdoor temperature at which the heat being lost from a building through its envelope (walls, roof, windows, etc.) is equal to the amount of heat generated by internal sources (such as occupants, appliances, and lighting) as well as any passive solar gains.
Optothermal stability refers to the ability of a material or system to maintain its structural, optical, and thermal properties under varying temperature and light conditions. This concept is particularly important in fields such as materials science, optics, nanotechnology, and photonics, where the performance of materials and devices can be significantly affected by temperature fluctuations and exposure to light.
The Ostwald–Freundlich equation is a relationship used in the study of adsorption phenomena, particularly in physical chemistry and materials science. It provides a way to express the dependence of the amount of a substance adsorbed on a solid surface at a given temperature and pressure.
The Slovenian National Corpus is a comprehensive linguistic resource designed to represent the contemporary Slovenian language in its varied forms and contexts. It is developed to support various applications in linguistics, language education, natural language processing (NLP), and other research fields. The corpus typically includes a wide range of written texts, such as literature, newspapers, academic writings, and other forms of communication, reflecting different registers, genres, and styles.
The Smith-Waterman algorithm is a dynamic programming algorithm used for local sequence alignment in bioinformatics. It helps to find the most similar regions between two biological sequences, such as DNA, RNA, or protein sequences. Unlike global alignment algorithms (like the Needleman-Wunsch algorithm), which align entire sequences, the Smith-Waterman algorithm focuses on identifying the best matching subsequences.
In the context of physics, "Snowden" does not refer to any widely recognized concept, theory, or phenomenon. It is possible that there may be confusion with the name "Snowden," which is commonly associated with Edward Snowden, a whistleblower known for disclosing classified information from the National Security Agency (NSA) in 2013.
Social peer-to-peer (P2P) processes refer to interactions and exchanges among individuals or groups without intermediaries, facilitated by modern communication technologies. These processes are characterized by distributed networks that allow participants to connect directly, share resources, information, or services with one another.
Sociomapping is a visual and analytical technique used to map and understand the relationships, interactions, and dynamics within a group or organization. It allows individuals and organizations to visualize patterns of communication, collaboration, and influence among members. The process typically involves gathering data through surveys, interviews, or observations, which is then represented in a visual format, such as diagrams or maps.
The soil production function is a concept used in ecology, soil science, and earth sciences to describe how soil is formed and developed over time. It quantifies the relationship between various environmental factors and the processes involved in the formation and sustainability of soil. This function typically accounts for the input of materials (like weathered rock or organic matter) and the processes of erosion, leaching, and biological activity that affect soil development.
The Southern California Seismic Network (SCSN) is a collaborative effort that monitors seismic activity in Southern California. The network consists of a large array of seismometers and other instruments that detect and measure earthquakes and other seismic events. Key features of the SCSN include: 1. **Monitoring Earthquakes**: SCSN provides real-time data on seismic activity, helping to identify the occurrence, location, and magnitude of earthquakes in the region.
Soviet anti-nuclear weapons activists were individuals and groups in the Soviet Union who opposed the proliferation and development of nuclear weapons, advocating for disarmament and peace. This movement emerged during the Cold War, a period characterized by intense rivalry between the Soviet Union and the Western bloc, particularly the United States. Activists engaged in various forms of protest and advocacy, often facing significant risks due to the repressive political climate in the Soviet Union.

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