Cichoń's diagram is a graphical representation in set theory that illustrates relationships among various cardinal numbers. It is named after the Polish mathematician Tadeusz Cichoń. The diagram focuses on the cardinalities of certain sets, particularly the continuum (the cardinality of the real numbers) and its relationship with other cardinal functions.
König's theorem is an important result in set theory and combinatorial set theory, specifically related to the study of infinite trees. The theorem states the following: If \( T \) is an infinite tree of finite height such that every node in \( T \) has a finite number of children, then \( T \) has either: 1. An infinite branch (a path through the tree that visits infinitely many nodes), or 2.
The Singular Cardinals Hypothesis (SCH) is a statement in set theory, a branch of mathematical logic that deals with sets, their properties, and relationships. It specifically deals with the behavior of cardinal numbers, which are used to measure the size of sets.
In set theory, a successor cardinal is a type of cardinal number that is directly greater than a given cardinal number.
Public phones, also known as payphones, are telecommunication devices that are available for use by the general public. Typically located in accessible places like streets, airports, train stations, and shopping malls, these phones require payment to make a call. Historically, they operated using coins, but many have transitioned to accepting credit cards or phone cards.
Kobe Bryant, one of the most accomplished players in NBA history, had an illustrious career marked by numerous achievements. Here’s a list of some of his most significant career accomplishments: 1. **NBA Championships**: 5 (2000, 2001, 2002, 2009, 2010) 2. **NBA Most Valuable Player (MVP)**: 2008 3.
Chris Paul, a highly regarded NBA player, has had an illustrious career with numerous achievements. Here’s a summary of his major career accomplishments up to October 2023: 1. **NBA All-Star Selections**: Chris Paul has been selected to multiple NBA All-Star Games, showcasing his status as one of the league's top players.
The concept of the "fundamental plane" is commonly discussed in the context of astronomy and astrophysics, particularly in relation to galaxies. However, when it comes to spherical coordinates themselves, the term may not have a widely recognized or specific meaning. ### General Explanation: In spherical coordinates, a point in three-dimensional space is described by three parameters: 1. **Radial distance** (\( r \)): The distance from the origin to the point.
Gazetteers are geographical dictionaries or directories that provide information about places and locations. They typically include details such as the names of places, descriptions, coordinates, administrative divisions, demographics, population, and sometimes historical or cultural information. Gazetteers can serve a variety of purposes, including helping researchers, travelers, students, and anyone interested in geography to find and understand information about specific places.
Cartographic censorship refers to the practice of altering, omitting, or distorting geographical information on maps to control the dissemination of knowledge, influence public perception, or achieve political or ideological objectives. This can take various forms, including: 1. **Omission of Features**: Certain geographical features, such as borders, landmarks, or entire territories, may be deliberately left out or misrepresented. For instance, some maps may exclude disputed regions or territories claimed by a country.
Cartography of Latin America refers to the art and science of map-making specific to the countries and regions within Latin America. This encompasses a variety of maps that depict geographical, cultural, political, and economic features of Latin American countries. Key aspects of cartography in this context include: 1. **Geographical Features**: Maps that display physical geography, including mountains, rivers, forests, and climate zones.
DTED stands for Digital Terrain Elevation Data. It is a format used for representing terrain elevation data, typically in a raster format, which consists of elevations above a defined reference level (usually sea level) at specific locations. DTED is primarily used by military and civilian applications for tasks such as terrain analysis, simulation, mission planning, and geospatial analysis. The data is organized into a grid of elevation points, with each point representing the elevation of the terrain at that location.
A list of historical maps refers to a compilation of maps that represent geographical regions, important historical events, or significant changes in territorial boundaries at various points in time. These maps can be valuable for understanding the social, political, and economic contexts of different eras.
Geovisualization is the process of using visual representations to explore, analyze, and communicate geographical information and spatial data. It integrates geographic information systems (GIS) with visualization techniques to help users understand complex datasets and spatial relationships more effectively. Key components of geovisualization include: 1. **Data Representation**: Using maps, charts, graphs, and 3D models to represent spatial data clearly and effectively.
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





