"Mathematica: A World of Numbers... and Beyond" is a documentary film that explores the capabilities and impact of Wolfram Mathematica, a powerful computational software developed by Wolfram Research. Released in 1990, this documentary showcases the innovative features of Mathematica, highlighting its applications in various fields such as mathematics, science, engineering, and education. The film presents a blend of interviews, demonstrations, and visualizations to illustrate how Mathematica integrates computation, visualization, and programming.
The Donegall Lectureship at Trinity College Dublin is a prestigious academic position, often associated with the study of theology, philosophy, or related disciplines. Established in memory of the Earl of Donegall, the lectureship aims to promote scholarly research and discussion in its designated field. The specific focus and details of the lectureship may vary, but it often involves delivering a series of lectures or public talks, engaging students and the wider community in intellectual discourse.
The International Association for Statistical Education (IASE) is a global organization dedicated to promoting and improving the teaching and learning of statistics at all levels of education, from primary to higher education. Established in 1991, the IASE serves as a forum for educators, researchers, and practitioners in the field of statistics education to share ideas, resources, and best practices.
The Chung–Erdős inequality is a result in probability theory and combinatorics that relates to the concentration of measure for sums of independent random variables. It provides bounds on the probabilities of random variables deviating from their expected values.
Eaton's inequality is a result in probability theory that deals with the relationship between the expectations of certain types of random variables, particularly focused on sub-exponential distributions. It is useful in the context of assessing the tail behavior of distributions. Formally, Eaton's inequality provides a way to compare the expectations of a sub-exponential random variable \(X\) and a positive continuous random variable \(Y\) with respect to their expectations given that their values are non-negative.
The Paley–Zygmund inequality is a result in probability theory, specifically in the context of the study of random variables and their moments. It provides a bound on the probability that a non-negative random variable is significantly greater than its expected value.
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