The enumerator polynomial is a mathematical tool used in various areas, especially in combinatorics and coding theory. It is a generating function that encodes information about a set or a collection of objects, such as codes, permutations, or other combinatorial structures, depending on certain parameters.
Envy-free cake-cutting is a concept from fair division and game theory, often used in contexts where multiple parties need to divide a resource (often referred to metaphorically as "cake") in a fair manner. The aim is to ensure that all parties involved feel satisfied with their portion and do not envy the portions received by others.
The "Eötvös" (symbol: **E** or sometimes **eot**) is a unit of measurement that quantifies the vertical gradient of gravitational acceleration, particularly used in the field of geophysics and gravity surveys. It is named after Hungarian physicist Loránd Eötvös. 1 Eötvös is defined as a change in gravitational acceleration of 10^{-9} g over a distance of 1 centimeter.
Epsilon-induction is a method of proof in the field of mathematical logic and set theory that extends the principle of mathematical induction. It is typically used in the context of transfinite induction and is useful in dealing with well-ordered sets. In standard mathematical induction, one proves a statement for all natural numbers by demonstrating two things: 1. The base case: the statement holds for the smallest natural number (typically 0 or 1).
The Erdős–Rényi model is a foundational concept in the field of network theory, specifically in the study of random graphs. Developed by mathematicians Paul Erdős and Alfréd Rényi in the late 1950s, this model provides a simple framework for understanding how graphs can form randomly under certain conditions.
Erhard Scholz is a name that may refer to different individuals or contexts, depending on the area of interest. For instance, it could refer to a notable figure in academia, industry, or other fields. However, without more context, it is difficult to pinpoint a specific Erhard Scholz you may be referring to.
Erich Schmid (1918–2019) was an Austrian-American physicist known for his significant contributions to the field of materials science, particularly in the understanding of plasticity and the mechanical properties of materials. He is well recognized for the Schmid Law, which describes the conditions under which slip occurs in crystalline materials. Schmid's work laid the foundation for understanding how materials deform under stress, which has implications for a wide range of applications, including metallurgy and engineering.
Erich Schumann could refer to various individuals depending on the context, but one notable figure is Erich Schumann (1898–1953), a German politician and member of the Nazi Party. He held various positions within the party during the regime of Adolf Hitler.
Ernest J. Sternglass (1923–2020) was an American physicist known for his work in medical physics and his research on the potential health effects of low-dose ionizing radiation. He gained particular attention for his outspoken views on the dangers of nuclear power and the impact of radiation from nuclear weapons. Sternglass was a professor at the University of Pittsburgh, where he conducted research related to radiation's effects on human health.
"Escher in the Palace" is an immersive exhibit that combines art and technology to create an experience inspired by the works of Dutch graphic artist M.C. Escher. The exhibit often features intricate visual illusions, impossible constructions, and explorations of infinity, characteristic of Escher's work. Visitors to the exhibit can expect to engage with interactive displays, visual installations, and augmented reality components that bring Escher's iconic artworks to life.
Etherington's reciprocity theorem is a result in the field of algebraic geometry and combinatorial mathematics, particularly concerning the enumeration of certain types of geometric configurations known as "dual graphs." The theorem provides a relationship between two different ways of counting the same geometric configuration, particularly relating to how certain properties transform under duality.
Euclidean space is a fundamental concept in mathematics and geometry that describes a two-dimensional or higher-dimensional space where the familiar geometric and algebraic properties of Euclidean geometry apply. It is named after the ancient Greek mathematician Euclid, whose work laid the foundations for geometry. Here are some key characteristics of Euclidean space: 1. **Dimensions**: Euclidean space can exist in any number of dimensions. Commonly referenced dimensions include: - **1-dimensional**: A straight line (e.
Eugene P. Gross is primarily known as an American physicist and for his contributions to the field of physics, particularly in areas like quantum mechanics and theoretical physics. However, specific details about his work or biography might not be widely documented or available. It's possible that he is involved in academic research, and more information could be found through academic publications or resources related to his area of expertise.
Euler's criterion is a result in number theory that provides a way to determine whether a given integer is a quadratic residue modulo a prime number.
Euler's rotation theorem states that any rotation of a rigid body in three-dimensional space can be represented as a single rotation about a specific axis. This means that for any arbitrary rotation, it is possible to find an axis in space such that the body can be considered to have rotated around this axis by a specific angle. More formally, the theorem states that given any rotation defined by a rigid body transformation, there exists a unique axis of rotation and a corresponding angle of rotation about that axis.
The European Federation of Organisations for Medical Physics (EFOMP) is a professional organization that represents the interests of medical physicists across Europe. Established to promote the practice and development of medical physics, EFOMP aims to improve the quality of healthcare through the application of physics and related sciences in medicine. EFOMP serves as a platform for collaboration among national organizations of medical physicists in various European countries.
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





