Angular frequency, often denoted by the Greek letter omega (\(\omega\)), is a measure of how rapidly an object oscillates or rotates in a periodic motion. It is defined as the rate of change of the angular displacement with respect to time, and it is commonly used in physics and engineering to describe systems that exhibit harmonic motion.
The Pythagorean theorem is a fundamental principle in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Davenport's chained rotations is a mathematical theorem related to the study of rotations and their properties in the context of dynamical systems and number theory. Specifically, it deals with the behavior of orbits of points under the action of rotations on the unit circle.
In ballistics, "elevation" refers to the vertical angle at which a projectile needs to be aimed to strike a target at a certain distance. It is usually expressed in degrees and pertains to the upward or downward adjustment of the firearm's sights relative to a horizontal line.
Euler angles are a set of three parameters used to describe the orientation of a rigid body in three-dimensional space. They are named after the Swiss mathematician Leonhard Euler. Euler angles are commonly used in fields like robotics, aerospace, and computer graphics to represent the rotational position of objects. The three angles typically used to represent rotation are often denoted as: 1. **Yaw (ψ)** - This angle represents the rotation around the vertical axis (z-axis).
The total angular momentum quantum number, often denoted by \( J \), is a quantum number that characterizes the total angular momentum of a quantum system. In quantum mechanics, angular momentum is a combined measure of both the orbital angular momentum and the intrinsic angular momentum (or spin) of particles. The total angular momentum \( J \) can be both a result of the orbital angular momentum \( L \) and the spin angular momentum \( S \) of the particles in the system.
A retirement annuity plan is a financial product designed to provide individuals with a steady stream of income during their retirement years. It involves a contract between an individual and an insurance company or financial institution, where the individual makes contributions over time, typically during their working years. In return, the insurance company promises to pay the individual a set amount of income after they retire.
Stockade is a software platform designed for managing and optimizing data related to stock and inventory. It is commonly used by businesses to keep track of their inventory levels, manage orders, and analyze stock movements. The features of Stockade can include tools for inventory tracking, reporting, and analytics to help businesses make informed decisions about purchasing and stocking products.
The azimuthal quantum number, also known as the angular momentum quantum number or orbital quantum number, is denoted by the symbol \( l \). It is one of the four quantum numbers used to describe the quantum state of an electron in an atom. Here's a summary of its key features: 1. **Definition**: The azimuthal quantum number defines the shape of the electron's orbital and is related to the angular momentum of the electron in that orbital.
French anti-nuclear activists are individuals or groups in France who oppose nuclear energy and advocate for its discontinuation or reduction. Their activism is often motivated by concerns related to environmental protection, public health, safety, and the long-term impacts of nuclear waste. France has historically relied heavily on nuclear power for its electricity, leading to a robust debate about the risks and benefits of such energy sources.
"Rain of animals" refers to a rare meteorological phenomenon where animals fall from the sky, often following a rainstorm. This event can include various animals, such as frogs, fish, or birds, and is usually attributed to strong winds or tornadoes that lift the animals from their habitats and then deposit them over a specific area, often far from where they were originally located. Reports of animal rain have occurred throughout history and across different cultures.
The volcanic winter of 536 is a term used to describe a significant climate event that occurred in the mid-6th century, specifically around the year 536 CE. This phenomenon is widely attributed to massive volcanic eruptions, which led to dramatic changes in weather patterns and widespread cooling across parts of the Northern Hemisphere. The leading theory is that a series of volcanic eruptions, likely from one or more volcanoes in the tropics, injected vast amounts of volcanic ash and sulfur dioxide into the atmosphere.
New Zealand anti-nuclear activists are individuals and groups that oppose the presence, testing, and potential use of nuclear weapons and nuclear energy within New Zealand. The movement gained significant momentum in the late 20th century, particularly during the 1970s and 1980s, when fears of nuclear warfare and the environmental impacts of nuclear energy became more pronounced.
Gorleben is a village in Germany, located in the Lower Saxony region. It is best known for its connection to nuclear waste management and storage. The area gained national and international attention due to the construction of a controversial interim storage facility for radioactive waste, which began in the 1970s. The site was selected as a potential repository for high-level radioactive waste, and extensive geological studies have been conducted to assess its suitability.
Proofpoint, Inc. is a cybersecurity company that specializes in providing solutions for email security, data loss prevention, and advanced threat protection. Founded in 2002 and headquartered in Sunnyvale, California, Proofpoint focuses on helping organizations protect their sensitive information and manage risk related to email and other digital communications. The company's products and services include anti-phishing, email encryption, archiving, security training for employees, and protection against various types of cyber threats.
The Kudankulam Nuclear Power Plant (KKNPP) is one of India's largest nuclear power generating facilities, located in the southern state of Tamil Nadu, near the town of Kudankulam in the Tirunelveli district. The plant is situated on the northeastern shore of the Kanyakumari district, close to the Arabian Sea.
The "Xiaodao Lun" (also known as "The Treatise on the Small Dao," or "小道论" in Chinese) is a philosophical text attributed to the Daoist thinker Zhang Zai, who lived during the Song dynasty (960-1279). The text explores themes related to Daoism, ethics, cosmology, and the nature of the universe.
Cleanfeed is a content filtering system used primarily in the UK to block access to online child sexual abuse material (CSAM). It was developed by the Internet Watch Foundation (IWF) in collaboration with internet service providers (ISPs) to help prevent the distribution of illegal content on Usenet and other online platforms. The system works by maintaining a list of URLs and file hashes associated with known abusive content.
Pavel Vrublevsky is a notable figure in the field of technological entrepreneurship, particularly known for his work in the realm of online payment systems. He is best recognized as the founder of several companies, including the Russian online payment processor ChronoPay. His ventures have played a significant role in the development of e-commerce and online financial transactions in Russia and surrounding regions.
Christian apologetics is the branch of theology that is concerned with the defense and justification of the Christian faith. It involves providing rational explanations and arguments to support the beliefs and doctrines of Christianity, addressing questions and challenges posed by skeptics, and demonstrating the truth and relevance of Christianity in contemporary society. Apologetics can take various forms, including: 1. **Philosophical**: Engaging with philosophical arguments for the existence of God, morality, and the nature of truth.
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





