Actual infinity refers to a concept in mathematics and philosophy that treats infinity as a completed, fully realized entity rather than as a process or a limit. In this context, actual infinity is often contrasted with potential infinity, which represents a process that can continue indefinitely but never actually reaches an infinite value. In mathematics, actual infinity is commonly encountered in set theory. For example: 1. **Set Theory**: The set of natural numbers is considered to be infinitely large.
Actuarial science is a discipline that applies mathematical and statistical methods to assess risk in insurance, finance, and other industries. It involves the evaluation of financial risks using mathematics, statistics, and financial theory, particularly in relation to uncertain future events. Actuaries use their expertise to analyze data and develop models that help organizations make informed decisions regarding risk management and financial planning. This includes roles such as: 1. **Insurance**: Designing insurance policies, calculating premiums, and assessing the likelihood of claims.
"A History of Greek Mathematics" generally refers to the study of the development of mathematical concepts, theories, and practices in ancient Greece, which laid significant foundations for modern mathematics. Although there may not be a single definitive text titled "A History of Greek Mathematics," various scholars and historical texts have explored this topic, often focusing on the contributions of key figures such as: 1. **Pythagoras (c.
Algebraic geometry is a branch of mathematics that studies the solutions to polynomial equations through the use of geometric methods. It combines concepts from abstract algebra, particularly commutative algebra, with geometric intuition. Here are some key aspects of algebraic geometry: 1. **Varieties**: The central objects of study in algebraic geometry are algebraic varieties, which are the solutions to systems of polynomial equations.
"Clockwise" can refer to different things depending on the context. Here are a few common interpretations: 1. **Direction**: Clockwise typically describes the circular movement in the same direction as the hands of a clock, which is from the top to the right, then down, and then to the left, forming a loop back to the top. 2. **Software/Application**: There are several software applications or services named "Clockwise", particularly in the realm of productivity and time management.
The Dove Foundation is a non-profit organization founded in 1991 that focuses on providing family-friendly content through film and television. Its mission is to encourage and promote quality entertainment that upholds traditional values and is suitable for viewers of all ages. The foundation offers a certification system for films and other media, designating which content is deemed appropriate for family viewing.
Ancient Greek mathematics is a rich field of study that laid the foundations for many aspects of modern mathematics. Key works and contributions from this period include: 1. **Euclid's Elements**: A comprehensive compilation of the knowledge of geometry in the 3rd century BCE, Euclid's "Elements" consists of 13 books covering plane and solid geometry, number theory, and mathematical rigor. It is one of the most influential works in the history of mathematics.

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