A Digital Raster Graphic (DRG) is a type of digital image that represents rasterized data, typically derived from scanned maps or other source documents. DRGs are commonly used in geographic information systems (GIS) and cartography to provide a digital version of paper maps or aerial photographs. The key characteristics of DRGs include: 1. **Raster Format**: This means that the image is composed of a grid of pixels, where each pixel represents a color or a value.
Phantom settlement generally refers to a situation in finance or legal contexts where a transaction appears to have occurred, but no actual change in ownership or value has taken place. This term can be used in a few different ways, depending on the context. 1. **Finance and Accounting**: In finance, a phantom settlement might refer to accounting entries that reflect transactions for reporting purposes but do not result in physical transfer of assets or cash.
Virtual Geographic Environments (VGEs) refer to computer-generated, interactive representations of geographical spaces that allow users to visualize, explore, and interact with geographic data in a simulated context. VGEs combine geographic information systems (GIS), virtual reality (VR), and augmented reality (AR) technologies to create immersive experiences where users can navigate 2D or 3D representations of real or imagined places.
Volume cartography is a technique used to represent and analyze spatial data in three-dimensional (3D) formats. Unlike traditional cartography, which focuses primarily on two-dimensional maps, volume cartography deals with the visualization and interpretation of data that occupy a three-dimensional space.
The EPSG Geodetic Parameter Dataset, maintained by the European Petroleum Survey Group (EPSG), is a detailed database that provides authoritative descriptions of geodetic parameters. It includes information about coordinate reference systems (CRS), geodetic datums, coordinate transformations, and related geospatial information used in mapping, navigation, and geographic information systems (GIS).
Geodynamics is the branch of geoscience that studies the processes and forces that shape the Earth's structure and behavior over geological timescales. It focuses on understanding the dynamics of the Earth's interior, including the movement of tectonic plates, the behavior of mantle convection, and the mechanisms of earthquakes and volcanic activity.
The geoid is an equipotential surface that represents the mean sea level of the Earth's oceans, extended under the continents. It is a crucial concept in geophysics and is used to understand Earth's shape and gravity field. Unlike a geometric shape, such as a sphere or an ellipsoid, the geoid is an irregular surface resulting from variations in gravitational pull caused by factors like the distribution of mass within the Earth and the topography of the land and ocean floors.
Gravity gradiometry is a measurement technique used to detect and quantify variations in the gravitational field of the Earth or other celestial bodies. It does this by measuring the gradient or change in gravitational acceleration over a specific distance, rather than measuring gravitational acceleration at a single point. ### Key Concepts: 1. **Gravity Gradient**: The gravitational field is not uniform; it varies with location due to differences in geological structures, such as mountains, valleys, and different densities of rocks and sediments.
The term "Israeli Cassini Soldner" refers to a specific variant of the Cassini-Soldner projection, which is a type of map projection used for representing geographic information. The Cassini-Soldner projection is a cylindrical map projection that is particularly suited for regions that are elongated in the north-south direction. In the context of Israeli mapping, the Israeli Cassini Soldner projection is used for topographic and geographic mapping in Israel.
A planetary coordinate system is a method used to specify locations on the surface of a celestial body, such as a planet, moon, or asteroid. Similar to how geographic coordinates (latitude and longitude) specify locations on Earth, planetary coordinate systems provide a framework for identifying positions on other celestial objects. ### Key Features of Planetary Coordinate Systems: 1. **Coordinate Types**: - **Planetocentric Coordinates**: These use the center of the planet as the origin.
The SK-42 reference system, also known as the "Soviet Calendar" or "Soviet Era," is a calendar system that was used in the Soviet Union. The SK-42 system is based on the Gregorian calendar but has a few modifications specific to the Soviet context. One of the notable features is that it emphasizes the Soviet era, starting from the year 1917, which is marked by the Bolshevik Revolution.
As of my last knowledge update in October 2023, "Spatiomap" does not refer to a well-known concept, product, or service in widely recognized literature or technology. The term could potentially relate to spatial mapping, GIS (Geographic Information Systems), or a specific application or tool for visualizing or analyzing spatial data.
A spot height is a specific point on a map that indicates the elevation or altitude of that particular location above sea level. It is often represented by a dot or a symbol, accompanied by a numerical value that indicates the height in meters or feet. Spot heights are commonly used in topographic maps to provide vital information about the terrain, allowing users to understand the varying elevations across a landscape. They help in activities such as hiking, planning construction, and understanding drainage patterns, among other applications.
Tidal acceleration refers to the gradual increase in the rotational period of a celestial body, such as a planet or moon, due to the gravitational interaction with another nearby body. This phenomenon is primarily observed in the context of the Earth-Moon system and the Earth-Sun system. In the case of the Earth and Moon, the gravitational pull of the Moon creates tides in the Earth's oceans.
A **bit plane** refers to a specific representation of the bits in the binary encoding of pixel values in an image. In digital image processing, each pixel of an image can be represented by several bits, depending on the color depth (e.g., grayscale, RGB, etc.). ### Understanding Bit Planes: 1. **Binary Representation**: Each pixel can be thought of as a binary number.
Bayesian regret is a concept used in decision theory and statistics that quantifies the performance of a decision-making strategy in the presence of uncertainty. It measures the difference in expected utility or payoff between the optimal decision (the decision that would yield the highest expected payout if the true state of nature were known) and the decision made by an agent using a specific strategy or approach.
The term "dictatorship mechanism" can refer to several concepts, typically within political science or game theory, where it suggests a system allowing a single leader or decision-maker to exert control over a group or society. Here are a few interpretations of the term: 1. **Political Dictatorship**: In a political context, a dictatorship mechanism refers to the ways in which a dictator maintains power and controls a state.
A **quasitransitive relation** is a type of binary relation that generalizes the concept of transitivity. A binary relation \( R \) on a set \( A \) is called quasitransitive if it satisfies the following property: For all \( x, y, z \in A \): - If \( x R y \) and \( x R z \), then \( y R z \) or \( z R y \) holds.
A bit array (or bit vector) is a data structure that compactly stores bits (binary values of 0 and 1) in a contiguous block of memory. Each bit in the array can represent a boolean value, corresponding to true (1) or false (0). The main advantage of using a bit array is its space efficiency, as it allows for the representation of large sets of boolean values using minimal memory.
Boolean algebra is a mathematical structure that captures the fundamentals of logic and set operations. It is defined by a set \( B \) equipped with two binary operations (typically called AND and OR), a unary operation (NOT), and two distinguished elements (commonly denoted as 0 and 1) that satisfy specific axioms.

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