A simplicial group is a kind of algebraic structure that arises in the context of simplicial sets and homotopy theory. It can be understood as a group that is associated with a simplicial set, which is a combinatorial object used to study topological spaces. ### Definition A **simplicial group** is defined as a simplicial object in the category of groups.
A "magic polygon" typically refers to a geometric figure that has special properties that are often related to magic squares or magic figures. The most common characteristics of magic polygons include: 1. **Magic Squares**: Often, magic polygons are related to magic squares that can be arranged in polygonal shapes, where the sums of numbers along each row, column, and diagonal are the same.
A restricted root system typically refers to a situation in plants where the growth and development of the root system are limited due to various environmental or physical constraints. This can occur due to factors like: 1. **Soil Composition**: Poor soil conditions, such as compacted soil or low nutrient availability, can inhibit root development.
The term "semi-infinite" can refer to a concept in various fields, such as mathematics, physics, and engineering. Generally, it describes a scenario or object that extends infinitely in one direction while having a finite boundary in the opposite direction. Here are a few contexts in which "semi-infinite" might be used: 1. **Mathematics/Geometry**: In geometry, a semi-infinite line is a ray that starts at a particular point and extends infinitely in one direction.
The Totient summatory function, often denoted as \( S(n) \), is a mathematical function that sums the values of the Euler's totient function \( \phi(k) \) for all integers \( k \) from 1 to \( n \). The Euler’s totient function \( \phi(k) \) counts the number of positive integers up to \( k \) that are relatively prime to \( k \) (i.e.
Medical physicists are professionals who apply principles of physics to the field of medicine, particularly in the diagnosis and treatment of diseases, primarily cancer. Their role is crucial in various areas of healthcare, including radiation oncology, diagnostic imaging, and nuclear medicine. ### Key Responsibilities of Medical Physicists: 1. **Radiation Therapy:** - Design and optimize treatment plans for patients undergoing radiation therapy. - Ensure the accurate delivery of radiation doses to target tissues while minimizing exposure to surrounding healthy tissues.
Scale modeling is the practice of creating physical representations of objects, structures, or environments at a certain ratio or scale compared to the original. These models can be used for various purposes, including education, design, simulation, and hobbyist activities. Scale models can represent anything from buildings and vehicles to landscapes and figurines.
The term "Jewish physicists" refers to physicists who are of Jewish ethnicity or descent. Throughout history, many Jewish individuals have made significant contributions to the field of physics, often facing unique challenges due to their cultural and religious backgrounds. Some notable Jewish physicists include: 1. **Albert Einstein** - Known for his theories of relativity, he fundamentally changed our understanding of space, time, and gravity.
In the context of Wikipedia and similar collaborative platforms, "stubs" refer to articles that are very short and incomplete, providing only basic information on a topic. The term "Physics journal stubs" specifically refers to stub articles related to physics journals.
The term "Medieval physicists" generally refers to scholars and thinkers during the Middle Ages (approximately 500 to 1500 AD) who contributed to the study of natural philosophy, which encompasses what we now consider physics, along with other scientific disciplines. During this period, the understanding of the natural world was heavily influenced by ancient Greek and Roman ideas, particularly the works of philosophers such as Aristotle and Ptolemy.
Physics educators are individuals who teach and promote the understanding of physics, a branch of science concerned with the nature and properties of matter and energy. This group can include teachers at various levels, from elementary school to university professors, as well as researchers and outreach coordinators involved in science communication. Their roles typically encompass: 1. **Teaching**: Delivering lessons in physics concepts, theories, and applications to students. This can include developing curricula, preparing instructional materials, and conducting experiments.
The Presidents of the European Physical Society (EPS) refer to the individuals who have held the position of president of the EPS over its history. The EPS is a professional society that aims to promote physics in Europe and to enhance cooperation among physicists across the continent. Established in 1968, the EPS fosters the development and dissemination of physics research, education, and practice.
The "List of physicists" generally refers to a compilation of notable individuals who have made significant contributions to the field of physics. This list can include a wide range of physicists, from historical figures to contemporary scientists, and may encompass various subfields such as theoretical physics, experimental physics, astrophysics, condensed matter physics, and more. Key physicists often included in such lists are: 1. **Isaac Newton** - Known for laws of motion and universal gravitation.
"Physics in Germany" can refer to several different contexts, including the study of physics as an academic discipline, the research contributions of German physicists, and the overall structure of physics education and institutions in Germany. Here's an overview of each aspect: ### 1. **Academic Discipline** Physics is a fundamental natural science that studies matter, energy, and the fundamental forces of nature. In Germany, physics is a well-established field of study with numerous universities offering comprehensive programs at the undergraduate and graduate levels.
A constant-resistance network refers to an electrical network in which the resistance values of the components remain constant regardless of the operating conditions, such as voltage or current. This means that the resistance does not change with temperature, frequency, or other factors. Constant-resistance networks are typically used in various applications where stable performance is required. For example, they can be used in simple resistor circuits, where the goal is to achieve predictable behavior.
CERN (the European Organization for Nuclear Research) has a variety of scientific committees that play crucial roles in the governance and direction of its research activities. These committees are responsible for providing advice on scientific management, technical issues, and the prioritization of experiments and research programs. Some key committees at CERN include: 1. **Scientific Policy Committee (SPC)**: Provides advice to the CERN management on the scientific direction and strategic development of CERN’s research priorities.
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





