A quantum pendulum is a theoretical model that combines principles of quantum mechanics with the concept of a classical pendulum. In classical physics, a pendulum consists of a mass (or bob) attached to a fixed point by a string or rod, which swings back and forth under the influence of gravity. The motion of a pendulum can be described using classical mechanics.
The pseudogap refers to a phenomenon observed in certain condensed matter systems, particularly in high-temperature superconductors, where a partial gap in the excitation spectrum appears in a material's electronic density of states at temperatures above the superconducting transition temperature (Tc). This gap is considered "pseudo" because it does not exhibit the full characteristics of an energy gap present in conventional superconductivity.
Collective dose is a concept used in radiation protection and epidemiology to quantify the total radiation exposure experienced by a population or a group of people over a specific period of time. It is typically expressed in units such as person-sieverts (person-Sv), which combines both the number of individuals exposed and the dose they received. The collective dose is calculated by taking the sum of the individual doses received by all members of the population at risk.
A **Cap set** is a specific configuration in the context of combinatorial geometry and number theory, specifically concerning subsets of integers or points in higher-dimensional spaces. The concept is particularly related to the study of sets that avoid certain geometric configurations or progressions.
Pleonasm is a rhetorical device that involves the use of more words than necessary to convey meaning, often resulting in redundancy. It occurs when a phrase includes unnecessary modifiers or repetitions that do not add to the meaning of the expression. For example, saying "free gift" is a pleonasm because a gift is inherently free. Other common examples include phrases like "true fact" or "ATM machine" (where "machine" is redundant, as "ATM" stands for Automatic Teller Machine).
A step function is a type of piecewise function that changes its value at specific intervals, resulting in a graph that looks like a series of steps. These intervals can be defined by any rules, leading to a function that stays constant over each interval before jumping to a new value at the boundaries. ### Key Characteristics of Step Functions: 1. **Piecewise Definition**: A step function can be defined using different constant values over different ranges of the input variable.
Isomeric shift (or isotopic shift) is a phenomenon observed in nuclear magnetic resonance (NMR), particularly in the context of Mössbauer spectroscopy. It refers to the change in energy of gamma rays emitted or absorbed by a nucleus when it is in a different chemical or physical environment compared to a reference state. In the case of Mössbauer spectroscopy, the isomeric shift is primarily influenced by the electronic environment surrounding the nucleus, particularly the s-electron density at the nucleus.
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





