James Stirling (1692–1770) was a Scottish mathematician known for his contributions to calculus and mathematical analysis. He is particularly famous for several important results, including: 1. **Stirling's Approximation**: This is a formula that provides an approximation for factorials, particularly useful for large values of n. The approximation states that for large n, \[ n!
In graph theory, the term "rank" can have a couple of different meanings, depending on the context in which it is used. 1. **Rank of a Graph**: The rank of a graph can refer to the maximum number of edges that can be included in a spanning tree. In this context, it is often considered in relation to the concept of the graph's connectivity and the number of vertices (V) and edges (E).
As of my last knowledge update in October 2023, there isn't a widely recognized figure or entity known as "Joanne LaCourse" in public discourse, literature, or popular culture. It's possible that she could be a private individual or a professional in a specific field not covered in popular sources. If you have additional context or details about who Joanne LaCourse is or what area you are referring to (e.g.
"Johannes Kepler" is a biographical film that focuses on the life and contributions of the renowned 17th-century mathematician and astronomer Johannes Kepler. The film explores Kepler's groundbreaking work in the field of astronomy, particularly his laws of planetary motion, which laid the foundation for modern celestial mechanics.
Matching pennies is a simple two-player game used in game theory to illustrate concepts of strategy and mixed strategies. ### Game Setup: - Each player has a penny and must simultaneously choose to display either heads (H) or tails (T). - The players reveal their choices at the same time. ### Outcomes: - If both players match (i.e., both choose heads or both choose tails), one player wins (usually designated as Player 1).
John Horton Conway (1937–2020) was a renowned British mathematician known for his work in various areas of mathematics, including combinatorial game theory, number theory, and coding theory. He is perhaps best known for inventing the "Game of Life," a cellular automaton that simulates the evolution of cellular patterns based on simple rules. The Game of Life has fascinated mathematicians and computer scientists alike, serving as an example of how complex behaviors can arise from simple rules.
Juliet Floyd is a philosopher known for her work in the fields of philosophy of mathematics, philosophy of logic, and the intersections of mathematics with other areas of philosophy, including epistemology and the philosophy of language. She has contributed to discussions on the nature of mathematical objects, proof, and the role of mathematical practices in shaping our understanding of mathematical knowledge. Floyd has been associated with prominent academic institutions and has published various articles and papers on these topics.
Katz centrality is a measure of the relative influence of a node within a network. It extends the concept of degree centrality by considering not just the immediate connections (i.e., the direct neighbors of a node) but also the broader network, taking into account the influence of nodes that are connected to a node's neighbors. The fundamental idea behind Katz centrality is that a node is considered important not only because it has many direct connections but also because its connections lead to other connected nodes.
"Korean physicists" refers to physicists from South Korea or North Korea, or those of Korean descent working in the field of physics worldwide. South Korea, in particular, has a vibrant scientific community, and Korean physicists have made significant contributions in various fields of physics, including condensed matter physics, astrophysics, particle physics, and more.
Kramers' theorem, named after the physicist Hendrik Anthony Kramers, is a principle in statistical mechanics and quantum mechanics that deals with the behavior of systems in thermal equilibrium and the transitions between states. The theorem is particularly important in the study of reaction rates and the dynamics of systems subjected to thermal fluctuations.
Kwang Hwa Chung, also known as the Kwang Hwa Bookstore, is a prominent bookstore in the heart of Seoul, South Korea, primarily serving as a cultural and educational hub for Korean students and scholars interested in the fields of theology, philosophy, history, and literature. It often focuses on Christian literature and resources. The store has a reputation for providing a wide range of books, from academic texts to popular literature, and sometimes hosts events, lectures, and discussions to engage the community.

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