Equinumerosity is a concept in mathematics, particularly in set theory, that refers to the property of two sets having the same cardinality, or the same "number of elements." Two sets \( A \) and \( B \) are said to be equinumerous if there exists a one-to-one correspondence (or bijection) between the elements of the sets.
The Hartogs number is a concept from set theory and mathematical logic, specifically within the context of cardinal numbers. It is named after the mathematician Kuno Hartogs. The Hartogs number of a set is the smallest ordinal that cannot be injected into a given set.
In set theory, the symbol \( \Theta \) does not have a specific, widely recognized meaning. However, it is often used in various contexts, such as: 1. **Big Theta Notation**: In computational complexity and algorithm analysis, \( \Theta \) is used to describe asymptotic tight bounds on the growth rate of functions.
Larry Bird, one of the greatest basketball players of all time, has an extensive list of career achievements both as a player and in other roles within the sport. Here are some of his most notable accomplishments: ### As a Player 1. **NBA Championships**: 3 (1981, 1984, 1986) with the Boston Celtics. 2. **NBA Most Valuable Player (MVP)**: 3 times (1984, 1985, 1986).
Kevin Garnett, often regarded as one of the greatest power forwards in NBA history, has had a remarkable career with numerous achievements and accolades. Here are some of his notable career achievements: 1. **NBA Championship**: 1 (2008 with Boston Celtics) 2. **NBA Most Valuable Player (MVP)**: 1 (2004) 3. **NBA Finals MVP**: 1 (2008) 4.
Shaquille O'Neal, one of the most dominant centers in basketball history, has had a prolific career both on and off the court. Here’s a list of some of his notable career achievements: ### NBA Achievements: 1. **4× NBA Champion** (2000, 2001, 2002, 2006) 2. **3× NBA Finals MVP** (2000, 2001, 2002) 3.
Geographic Information Systems (GIS) are tools and technologies used to collect, analyze, manage, and visualize spatial or geographic data. GIS enables users to understand patterns, relationships, and trends in geographic context by integrating various forms of data, including maps, satellite imagery, and demographic information. Here are some key components and functions of GIS: 1. **Data Capture**: GIS can gather geographic data from various sources, including GPS devices, remote sensing, aerial surveys, and existing databases.
Circles of latitude, also known simply as latitudes, are imaginary horizontal lines that encircle the Earth parallel to the Equator. They are used to specify the north-south position of a point on the Earth's surface. Each circle of latitude is expressed in degrees, ranging from 0° at the Equator to 90° at the poles (90°N at the North Pole and 90°S at the South Pole).
The Coastline Paradox refers to the counterintuitive observation that the measured length of a coastline can vary significantly depending on the scale of the measurement tool used. This phenomenon arises from the fractal nature of coastlines and the complexity of their shapes.
Wikis about geography are collaborative online platforms that allow users to create, edit, and share information related to various geographical topics. These wikis can cover a wide range of subjects, including: 1. **Geographical Features**: Information about mountains, rivers, lakes, valleys, and other physical features of the Earth. 2. **Countries and Regions**: Detailed entries on different countries, states, and regions, including their geography, culture, history, and demographics.
A bird's-eye view refers to a perspective that depicts a scene from high above, as though one were looking down from the sky, akin to how a bird might see the landscape from its flight. This viewpoint provides a wide-angle overview that includes a larger context of the area, allowing for a more comprehensive understanding of the layout and relationships of various elements within the scene.
The term "drying height" can refer to a few different concepts depending on the context, but it is most commonly associated with agriculture, horticulture, and food processing. Here are a couple of interpretations: 1. **Agricultural Context**: In agriculture, drying height may refer to the vertical height at which crops (especially grains or forage) are placed during the drying process to facilitate air circulation and moisture removal.
The term "Global Relief Model" doesn't refer to a widely recognized or standardized concept, but it can pertain to various frameworks and strategies used in humanitarian aid and disaster relief efforts on a global scale. In general, a global relief model is designed to optimize and coordinate the distribution of resources, support, and assistance in response to crises, natural disasters, or humanitarian needs across countries and regions.
"Terra incognita" is a Latin phrase meaning "unknown land." Historically, it referred to regions that had not yet been mapped or explored, often depicted on ancient and medieval maps as blank spaces or labeled with the term "terra incognita." These areas were often associated with myths or speculations about what might lie within them.
Better Than Cash Alliance is a global partnership aimed at accelerating the transition from cash to digital payments. Launched in 2012, the initiative is managed by the United Nations Capital Development Fund (UNCDF) and involves a variety of stakeholders, including governments, international organizations, and private sector companies. The primary objective of the alliance is to promote digital payments as a way to enhance financial inclusion, reduce poverty, and improve the efficiency of money transfers.
Figure-ground is a concept in cartography and visual perception that refers to the way objects (the "figure") are distinguished from their background (the "ground"). In cartography, this concept is crucial for creating effective maps that clearly communicate spatial information. **Key Aspects of Figure-Ground in Cartography:** 1. **Contrast and Clarity:** The figure (features like roads, rivers, and buildings) should stand out against the ground (background elements like land cover or water bodies).
GeoPlanet is a data platform developed by Yahoo (formerly part of Oath and Verizon Media) that provides a comprehensive database of geographical and location-based information. It offers a wide range of geospatial data, including details about places, neighborhoods, landmarks, and geographical features across the globe. The platform is designed to allow developers to incorporate location-based services into their applications, enabling features such as place search, geocoding, and geographic data analysis.
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 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. - 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





