Pseudorotation is a term used in chemistry and molecular physics to describe a specific type of conformational change in certain cyclic compounds, particularly in the context of five-membered rings or certain larger rings. It involves the movement of atoms within the molecule that allows the structure to rotate around a particular axis, leading to a change in the arrangement of atoms or groups attached to the ring without breaking any bonds.
The biosphere is the global sum of all ecosystems, representing the zone of life on Earth. It includes all living organisms, including plants, animals, and microorganisms, as well as the environments in which they interact. The biosphere is characterized by the interactions between these organisms and their physical surroundings, including the atmosphere (air), hydrosphere (water), and lithosphere (land).
The stereoelectronic effect refers to the influence of molecular geometry on electronic interactions and reactivity, particularly in the context of chemical bonding and reaction mechanisms. It describes how the spatial arrangement of atoms and the orientation of orbitals can affect the electronic properties of a molecule and, consequently, its reactivity. In essence, the stereoelectronic effect highlights the relationship between the arrangement of bonds in three-dimensional space and the electron distribution in molecular orbitals.
Syn and anti addition refer to the specific orientations of the addition of reactants across a double bond in organic molecules. These terms are especially important in the context of stereochemistry, the study of the three-dimensional arrangements of atoms within molecules. 1. **Syn Addition**: - In syn addition, the two substituents are added to the same side (or face) of the double bond.
The Paley-Wiener integral is a mathematical concept used primarily in the field of signal processing and Fourier analysis. It is associated with the analysis of functions that are band-limited, meaning that they contain no frequencies higher than a certain maximum frequency. The Paley-Wiener integral is particularly important in the study of the properties of these functions in relation to the Fourier transform.
The Reflection Principle is a fundamental concept in the study of stochastic processes, particularly in the context of the Wiener process (also known as Brownian motion). The principle provides a method for analyzing the behavior of Brownian paths, especially concerning their maximum or minimum values.
"De Constantia" is a philosophical work written by the Dutch philosopher and statesman Hugo Grotius, who is often considered one of the founding figures of international law. The work, titled "De Constantia," translates to "On Constancy" in English, and it was written in 1620, at a time when Grotius was in exile.
Epoché is a philosophical term that originates from ancient Greek, meaning "suspension" or "bracketing." It is primarily associated with the discipline of phenomenology, particularly in the works of the German philosopher Edmund Husserl. In phenomenology, Epoché refers to the practice of suspending judgment about the natural world and our preconceived notions to focus on our immediate experiences and perceptions.
Oikeiôsis is a philosophical concept from ancient Stoicism that refers to the process of recognizing what is natural and appropriate to oneself and one's role in the world. The term is often translated as "appropriation" or "familiarization," and it encompasses the idea of developing an understanding and attachment to one's own nature, as well as to one’s family, community, and humanity at large. In Stoic thought, oikeiôsis is an essential part of ethical development.
In Stoic philosophy, "passions" (or "passiones" in Latin and "pathē" in Greek) refer to intense emotions or feelings that can disrupt rational thought and lead to irrational behavior. Stoics differentiate between "passions" and "virtue" or "rational emotional responses." Stoic philosophers, like Seneca, Epictetus, and Marcus Aurelius, believed that passions often arise from incorrect judgments about what is good or bad.
Stoic physics is an integral part of Stoic philosophy, which originated in ancient Greece and Rome. The Stoics, including key figures such as Zeno of Citium, Cleanthes, and later thinkers like Seneca and Marcus Aurelius, developed a comprehensive system of thought that encompassed ethics, logic, and physics. In Stoic thought, physics refers not just to the study of the natural world, but also to the underlying principles that govern the universe.
In physics, particularly in the fields of particle physics, quantum field theory, and statistical mechanics, a coupling constant is a parameter that determines the strength of an interaction or force between particles or fields. It essentially quantifies how strongly a particle interacts with others or with a field.
"Russian string theorists" generally refers to a group of physicists from Russia who specialize in string theory, a theoretical framework in physics that attempts to reconcile general relativity and quantum mechanics. String theory posits that the fundamental building blocks of the universe are not point particles but rather one-dimensional objects called "strings." These strings vibrate at different frequencies and can manifest as different particles, such as quarks and electrons.
Erica Ollmann Saphire is a prominent American scientist and researcher known for her work in the field of virology, particularly in studying viral infections and the immune system's responses. She has focused on viruses such as Ebola and other pathogens, exploring how they interact with the immune system and developing potential therapeutic strategies. Saphire is affiliated with institutions such as the Scripps Research Institute, where she conducts research aimed at understanding viral mechanisms and advancing vaccine development.
In quantum mechanics, the angular momentum operator is an important operator that describes the angular momentum of a quantum system, similar to how the linear momentum operator describes the linear momentum. Angular momentum is a key concept in both classical and quantum physics, and it plays a crucial role in the behavior of atomic and subatomic particles. There are several forms of angular momentum in quantum mechanics, including orbital angular momentum and spin angular momentum.
American anti-nuclear activists are individuals and groups in the United States who oppose the development and use of nuclear energy and nuclear weapons. Their activism is often motivated by concerns regarding the safety of nuclear power plants, environmental consequences, the risks of nuclear accidents, and the potential for nuclear weapons proliferation. The movement gained significant prominence during the Cold War, especially after incidents like the Three Mile Island accident in 1979 and later the Chernobyl disaster in 1986.
The Duchess of Kent's Annuity Act 1838 was a piece of legislation in the United Kingdom that provided financial support for the Duchess of Kent, who was the mother of Queen Victoria. The act granted her an annual pension of £30,000, which was intended to secure her financial independence after her husband, Prince Edward, Duke of Kent and Strathearn, had passed away.
"Lluvia de peces," which translates to "Rain of Fish," refers to a phenomenon in which fish purportedly fall from the sky during heavy rainstorms. This unusual occurrence has been reported in various parts of the world, particularly in Honduras, where it is known to happen in the town of Yoro. The phenomenon is thought to be caused by waterspouts or strong winds that lift small fish from bodies of water and carry them over land, where they eventually fall with rain.
The Aldermaston Marches are a series of peace marches that have been organized since the early 1950s, primarily in the United Kingdom, to protest against nuclear weapons and promote disarmament. They typically involve participants marching from London to the Atomic Weapons Research Establishment (AWRE) at Aldermaston in Berkshire, which is a facility associated with the development and testing of nuclear weapons.
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





