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.
Edward Teller (1908–2003) was a Hungarian-American physicist best known for his contributions to nuclear physics and for his role in the development of the hydrogen bomb. Often referred to as the "father of the hydrogen bomb," Teller played a pivotal role in the Manhattan Project during World War II, which developed the first atomic bombs. After the war, he advocated for the development of more powerful thermonuclear weapons.
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.
E. H. Moore refers to Edward Hawkes Moore, an influential American mathematician recognized for his contributions to various fields, particularly in topology and algebra. Born in 1862 and passing in 1932, Moore made significant advances in the area of abstract algebra and is known for formulating Moore spaces in topology, which are a class of topological spaces that have properties of both compactness and local compactness.
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.
Elementary Number Theory, Group Theory, and Ramanujan Graphs are three distinct yet important topics in mathematics, particularly in the fields of number theory, algebra, and graph theory. Here's a brief overview of each: ### Elementary Number Theory Elementary number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It does not involve advanced mathematical tools such as calculus or abstract algebra.
Pinned article: ourbigbook/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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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