State-sponsored internet propaganda refers to the use of online platforms and digital media by government entities or organizations backed by the state to promote specific political agendas, shape public perception, or influence public opinion. This form of propaganda can take various forms, including: 1. **Disinformation campaigns**: Deliberately spreading false or misleading information to influence public opinion or disrupt social cohesion.
Mean Signed Deviation (MSD) is a statistical measure that quantifies the average of the signed differences between observed values and a central measure, such as the mean or median. Unlike the Mean Absolute Deviation (MAD), which takes the absolute values of the deviations to avoid cancellation, the Mean Signed Deviation retains the positive and negative signs of the differences.
The Deep Space Atomic Clock (DSAC) is a space-based atomic clock developed by NASA to improve the precision and reliability of timekeeping for spacecraft navigation and communication in deep space missions. Its main purpose is to enhance the accuracy of navigational data used when exploring distant parts of the solar system.
Maritime pilotage is a specialized service provided by maritime pilots who assist in navigating ships through challenging waterways, such as harbors, rivers, and coastal areas. These pilots are experts in local maritime conditions, including currents, tides, and navigational hazards. Their primary role is to ensure the safety of vessels as they approach or depart from ports, as well as maneuver through narrow or congested areas.
"Navigators" can refer to different things depending on the context. Here are a few possibilities: 1. **Navigation and Exploration**: In a general sense, navigators are individuals or tools that help plot the course of a journey. This can include sailors who navigate ships, pilots who navigate aircraft, or even tools like GPS devices that assist in finding routes. 2. **The Navigators (Ministry)**: This is an international Christian organization focused on evangelism and discipleship.
In geometry, "orientation" refers to the arrangement or positioning of a geometric object in relation to a coordinate system or to other objects. It can describe how the object is aligned or how its vertices or edges are ordered. Here are a few contexts in which orientation is commonly discussed: 1. **In 2D Geometry**: In the context of two-dimensional shapes, orientation often relates to the direction in which a shape is drawn or traversed.
An Erdős–Woods number is a specific type of integer related to the study of sets of consecutive integers and their relationships to prime numbers. More formally, an integer \( n \) has an Erdős–Woods number if there exists a positive integer \( k \) such that the set of integers: \[ \{ n, n+1, n+2, \ldots, n+k \} \] contains \( k \) or more prime numbers.
A plug valve is a type of valve used to control the flow of fluids (liquids or gases) through a piping system. It consists of a cylindrical or tapered plug that can be rotated inside a hollow body to either block or allow fluid flow. The valve is named for its plug-like appearance and its function in plugging or sealing off the flow path.
A **semitopological group** is a type of mathematical structure that combines aspects of group theory and topology. Specifically, it is a group \( G \) that is equipped with a topology such that the group operations, namely multiplication and taking inverses, satisfy specific continuity conditions, but not all of the usual requirements of a topological group.
A semi-log plot is a type of graph used to visualize data that spans several orders of magnitude. In a semi-logarithmic plot, one axis (usually the y-axis) is scaled logarithmically, while the other axis (usually the x-axis) is scaled linearly. This method of plotting is particularly useful for displaying data that follows exponential growth or decay patterns, as it can make trends easier to identify and interpret.
A site plan is a detailed architectural drawing that shows the layout of a specific piece of land or property. It typically includes various elements essential for understanding the site, such as: 1. **Buildings and Structures**: The location and dimensions of existing and proposed buildings, including any outdoor amenities. 2. **Landscaping**: The layout of trees, shrubs, plants, and other landscaping features. 3. **Topography**: Information about the land's contours, elevations, and drainage.
A **topological ring** is a mathematical structure that combines the concepts of a ring and a topology. Specifically, a topological ring is a ring \( R \) that is also equipped with a topology such that the ring operations (addition and multiplication) are continuous with respect to that topology.
The term "Exact couple" can refer to different concepts depending on the context. 1. **Mathematics**: In mathematics, particularly in the field of algebra and topology, an "exact couple" refers to a specific type of diagram used in homological algebra that combines two different chain complexes. Exact couples are used to construct spectral sequences, which are tools that allow mathematicians to compute homology groups by breaking complex problems into simpler parts.
T-Square is a software platform primarily used for project management, collaboration, and organizational tasks, particularly in the context of academic and educational environments. It is often utilized in universities and colleges to facilitate communication between students and instructors and to manage course-related content. Key features of T-Square may include: 1. **Course Management**: Instructors can create and organize course materials, including syllabi, assignments, and readings.
The German nuclear weapons program refers to various efforts by Germany to develop nuclear weapons during and after World War II, as well as later discussions about nuclear capabilities in a post-war context. ### Historical Context 1. **World War II Era**: During the Nazi regime, Germany initiated a nuclear research program, often referred to as the German atomic bomb project or "Uranium Club." This effort aimed to develop nuclear weapons before the United States could.
German women mathematicians have made significant contributions to various fields of mathematics throughout history, despite often facing substantial barriers to education and professional recognition. Some notable figures include: 1. **Sofia Kovalevskaya (1850-1891)**: Although she was born in Russia, she became a prominent mathematician in Germany, particularly known for her work on partial differential equations and contributions to analysis and mechanics.
Computer security software refers to applications and programs designed to protect computers and networks from various security threats, including viruses, malware, unauthorized access, and data breaches. This software helps safeguard sensitive information, ensure the integrity and confidentiality of data, and maintain the overall stability and functionality of systems. Here are some common types of computer security software: 1. **Antivirus Software**: Detects, prevents, and removes malicious software (malware) such as viruses, worms, and trojans.
Concrete Mathematics is a term popularized by the mathematicians Ronald Graham, Donald Knuth, and Oren Patashnik in their influential book titled "Concrete Mathematics: A Foundation for Computer Science." The book was first published in 1989 and serves as a blend of continuous and discrete mathematics, particularly focusing on those areas that are foundational to computer science.
A Content Management System (CMS) is software that enables users to create, manage, and modify digital content on a website without needing specialized technical knowledge. CMS platforms provide a user-friendly interface that allows non-technical users to easily create and manipulate content, such as text, images, video, and audio. ### Key Features of a CMS: 1. **User-Friendly Interface**: Most CMS platforms come with a graphical user interface that simplifies tasks like adding and editing content.

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