The Degree-Diameter Problem (DDP) is a classic problem in the field of graph theory and combinatorics. It focuses on the trade-off between the degree of vertices in a graph and its diameter. Specifically, the problem seeks to determine the maximum number of vertices \( N \) in a graph given two constraints: the maximum degree \( D \) of any vertex and the maximum diameter \( h \) of the graph.
The De Morgan Medal is an award presented by the London Mathematical Society (LMS) to recognize outstanding achievements in mathematics. Named after the British mathematician August De Morgan, the award is intended to honor individuals for their significant contributions to the field of mathematics, particularly those related to the contributions that are consistent with De Morgan's own work and philosophy. The medal is typically awarded every two years and is one of the highest honors given by the LMS.
Glassy carbon is a type of carbon material that is characterized by its glass-like structure and properties. It is a non-graphitizing carbon, meaning that it does not have a crystalline structure typical of graphite. Instead, it consists of a network of carbon atoms that are bonded in a way that gives it unique physical and chemical properties.
Rachel Goldman could refer to different individuals, including professionals in various fields such as healthcare, academia, or business. Without more specific context, it is difficult to pinpoint an exact person or entity.
Distributed algorithms are algorithms designed to run on multiple computing entities (often referred to as nodes or processes) that work together to solve a problem. These entities may be located on different machines in a network and may operate concurrently, making distributed algorithms essential for systems that require scalability, fault tolerance, and efficient resource utilization.
The Dual Steenrod Algebra is a mathematical structure that arises in the context of algebraic topology, particularly in the study of stable homotopy theory. It is named after the mathematician Norman Steenrod, who contributed significantly to the development of homotopy theory and cohomology theories.
E7½ could refer to a couple of different concepts depending on the context. In mathematical terms, "E" is often used to denote the base of the natural logarithm (approximately equal to 2.71828), and "7½" (or 7.5) could suggest a power or exponent. If you're referring to \( e^{7.5} \), it means Euler's number raised to the power of 7.5.
In the context of graph theory and computational mathematics, edge and vertex spaces can refer to the associated vector spaces constructed from the edges and vertices of a graph. These concepts are often utilized in the study of networks, combinatorial structures, and various applications in computer science and mathematics.
A globular set, also known as a globular space, is a concept from category theory and specifically from the field of higher dimensional algebra. It is a generalization of the notion of a topological space and is particularly useful in the study of homotopy theory and higher categories. In more detail, a globular set consists of a collection of "globes," which are objects that can be thought of as higher-dimensional analogs of points.
Electron affinity is a measure of the energy change that occurs when an electron is added to a neutral atom in the gas phase to form a negatively charged ion (anion). It provides insight into how easily an atom can gain an electron and is an important factor in understanding chemical reactivity and the formation of ions. ### Key Points about Electron Affinity: 1. **Definition**: - Electron affinity is defined as the amount of energy released or absorbed when an electron is attached to a neutral atom.
Electron counting is a method used in chemistry, particularly in molecular and coordination chemistry, to analyze and predict the structure and reactivity of molecules, especially transition metal complexes. The principle behind electron counting is based on determining the total number of valence electrons associated with a given molecule or complex, considering both the central atom (often a metal) and its surrounding ligands. This approach helps chemists understand bonding, oxidation states, coordination numbers, and geometries of the complexes.
As of my last knowledge update in October 2021, there isn't any widely recognized information or figure known as "Emanuel Tutuc." It's possible that he emerged or gained prominence after that date, or he may not be a public figure at all.
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





