Pentation is a mathematical operation that is part of the family of hyperoperations, which extend beyond exponentiation. Hyperoperations are defined in a sequence where each operation is one rank higher than the previous one, starting from addition, multiplication, exponentiation, and moving on to tetration and beyond. The sequence is as follows: 1. Addition (a + b) 2. Multiplication (a × b) 3. Exponentiation (a^b) 4.
Sundanese numerals are the number system used by the Sundanese people of West Java, Indonesia. The Sundanese language has its own distinct set of numerals which are used in everyday counting, commerce, and cultural expressions. Here are the Sundanese numerals from one to ten: 1. Satu (1) 2. Dua (2) 3. Tilu (3) 4. Opat (4) 5. Lima (5) 6.
Vote counting is the process of tallying the votes cast in an election to determine the outcome. This process can occur for various types of elections, including political, organizational, or referenda. Here are some key aspects of vote counting: 1. **Methods of Voting**: Votes can be cast in various ways, including in-person on election day, early voting, and absentee or mail-in voting. Each method may involve specific counting protocols.
A list of retired numbers typically refers to the jersey numbers that have been taken out of circulation by a sports team or organization to honor a player, coach, or significant figure associated with that team. When a number is retired, no other player on the team can wear that number in the future. Retired numbers are a common tradition in many sports leagues, including the NFL, NBA, MLB, NHL, and college sports.
A positional numeral system is a method of representing numbers in which the value of a digit depends on its position within a number. In such systems, each position corresponds to a power of a base, and the digits in the number are multiplied by these powers to determine the overall value. ### Key Features of Positional Numeral Systems: 1. **Base**: The base (or radix) of a positional system indicates how many distinct digits (including zero) are available.
The "Cancioneiro de Belém" is a significant collection of Portuguese music that dates back to the early 16th century. It is one of the most important music manuscripts of the Renaissance period in Portugal. The manuscript is named after the Museu de Marinha in Belém, Lisbon, where it is housed. The collection contains a variety of music, including both sacred and secular works, featuring compositions for voices and instruments.
The "Cancionero de Upsala," also known as the "Upsala Songbook," is a significant collection of Spanish poetry from the late 15th century. It contains a variety of songs and secular poetry, primarily written in the Spanish language. The manuscript gained its name from being housed in Uppsala University in Sweden, where it was rediscovered in the 19th century.
The Eton Choirbook is a significant collection of English choral music from the late 15th and early 16th centuries. Compiled around 1500, it contains more than 90 musical works, primarily by English composers of the time, with notable names such as William H. Power, Robert Fayrfax, and Richard Davy represented in the collection.
The Lambeth Choirbook is a significant collection of English choral music from the late 16th century, specifically compiled around 1598. It is named after Lambeth Palace, the London residence of the Archbishop of Canterbury. The choirbook contains a variety of sacred music, primarily composed for the Anglican Church, including settings of the Mass, motets, anthems, and other liturgical works.
Richard Schroeppel is an American computer scientist and mathematician known for his work in the fields of computer science, cryptography, and mathematical logic. He is particularly recognized for his contributions to the development of algorithms and his research in areas such as computational complexity and combinatorial designs. He has also been involved in the exploration of topics related to computer security and cryptographic systems.
Robert Kleinberg is a notable figure in the fields of computer science and machine learning, particularly known for his contributions to algorithms, social networks, and online platforms. He is a professor at Cornell University and has published extensively on topics related to algorithm design, optimization, and the theoretical foundations of computer science. Kleinberg's work often intersects with economics and social science, exploring how algorithms can impact decision-making and behavior in various contexts.
Edge coloring is a concept from graph theory that involves assigning colors to the edges of a graph such that no two edges that share a common vertex (or are incident to the same vertex) have the same color. The main goal of edge coloring is to minimize the number of colors used. The minimum number of colors required to color the edges of a graph is known as the graph's **chromatic index** or **edge-chromatic number**.
2013 FS28 is a near-Earth object (NEO) categorized as an asteroid. It was discovered on March 30, 2013, and belongs to the Apollo group of asteroids, which are characterized by their orbits that cross that of Earth's. It has gained attention due to its close approaches to Earth. Asteroids like 2013 FS28 are monitored closely by astronomers to assess any potential impacts with Earth in the future.
Kristen Soltis Anderson is an American political analyst, pollster, and author, known for her expertise in understanding and interpreting the attitudes and behaviors of younger voters and women. She co-founded the consulting firm Echelon Insights, where she has conducted research on public opinion and electoral trends. Anderson is also recognized for her work as a commentator and has contributed to various media outlets.
An opinion poll is a survey designed to gauge the views, preferences, or attitudes of a specific population on a particular issue, topic, or event. These polls are commonly used in various fields, including politics, marketing, and social research, to collect information about public sentiment. Key elements of opinion polls include: 1. **Sampling**: A representative sample of individuals from a larger population is selected to provide insights that reflect the broader group's opinions.
Samuel L. Popkin is a prominent American political scientist and professor known for his work in the fields of political behavior, public opinion, and comparative politics. He is particularly recognized for his research on the political dynamics of various countries, including the role of information and its effect on voter behavior. Popkin has authored several influential books, one of which is "The Reasoning Voter," where he explores how citizens process political information.
Selwyn Ryan is a notable academic and political analyst from Trinidad and Tobago. He is recognized for his contributions to the fields of sociology and political science, particularly regarding Caribbean politics and social issues. Over the years, Ryan has worked in various academic roles and has published numerous works on topics related to governance, political behavior, and social dynamics within Trinidad and Tobago and the wider Caribbean region. His insights often focus on the political landscape, electoral processes, and the socio-economic challenges faced by the region.
DiRAC, which stands for Distributed Research Infrastructure for Advanced Computing, is an initiative that provides high-performance computing resources to academic researchers in the UK and beyond. It is designed to support computationally intensive projects across various scientific domains, including astrophysics, particle physics, and more. DiRAC offers a range of computing facilities, including clusters, storage, and software tools tailored for different types of research.
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





