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.
End correction is a concept in the field of acoustics, particularly in the study of musical instruments and sound waves in tubes. It refers to the adjustment made to the effective length of a cylindrical tube (like a pipe or organ pipe) to account for the fact that the pressure wave does not reflect perfectly at the open end of the tube. When sound waves travel through a tube, they create standing waves.
Rama Cont is a prominent figure in the field of quantitative finance, particularly known for his work in mathematical finance, stochastic processes, and statistical modeling. He has published extensively on topics such as market risk, financial modeling, and the mathematical foundations of finance. As of my last update in October 2023, Rama Cont holds a position at the University of Massachusetts Amherst and has contributed to the understanding of complex financial systems through rigorous mathematical frameworks.
Entropy is a fundamental concept in thermodynamics, statistical mechanics, and information theory. In simple terms, entropy can be understood as a measure of disorder or randomness in a system. ### In Thermodynamics: 1. **Definition**: In thermodynamics, entropy quantifies the amount of energy in a physical system that is not available to do work.
Erich P. Ippen is a prominent physicist known for his contributions to the field of optics and photonics. He is particularly famous for his work in ultrafast optics, including the development of techniques such as femtosecond pulse generation and the study of light-matter interactions on very short timescales. His research has had significant implications in various applications, including telecommunications, medical imaging, and materials science.
The Estevez–Mansfield–Clarkson (EMC) equation is a mathematical model used in the study of fluid dynamics, particularly in relation to phase transitions and nonlinear waves in fluids. It describes the behavior of a particular type of nonlinear dispersion relation that can arise in various physical contexts. The equation itself arises from the combination of several principles in fluid dynamics and can incorporate aspects such as nonlinearity, dispersion, and potentially compressibility or other effects depending on the specific application.
Ethnomathematics is a field of study that examines the relationship between mathematics and culture. It explores how different cultural groups develop, understand, and utilize mathematical concepts and practices. Ethnomathematicians focus on the mathematical knowledge and strategies that arise in specific cultural contexts, emphasizing the diversity of mathematical thought and practices around the world.
The Gompertz–Makeham law of mortality is a mathematical model used to describe the age-specific mortality rates, particularly in humans and other organisms. It combines two components: the Gompertz function, which accounts for the increasing mortality risk due to aging, and a constant term that represents the background or external risk of death that does not depend on age.
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





