Electromagnetic radiation is a form of energy that travels through space in the form of waves. It is produced by the movement of electrically charged particles, which create oscillating electric and magnetic fields. These waves can travel through a vacuum as well as through various media. Electromagnetic radiation is characterized by its wavelength or frequency, which determines its type and energy. The electromagnetic spectrum encompasses a wide range of wavelengths, from very short gamma rays to long radio waves.
Ergodicity is a concept from statistical mechanics and dynamical systems theory that describes the behavior of systems over time. In general terms, a system is considered ergodic if its time averages are equivalent to its ensemble averages. This means that a sufficiently long observation of a single trajectory (or the time evolution of a single state of the system) will provide the same statistical properties as observing a large number of different states of the system at a single point in time (the ensemble).
An electrodynamic tether is a device that consists of a long conductive wire or cable that can generate thrust or electrical power through electromagnetic interactions with the Earth's magnetic field. By moving through the magnetic field, the tether generates a current due to the motion of the conductive material in the field, which can be used for various purposes, such as propulsion, power generation, or orbital maneuvering. ### Key Concepts 1.
In mathematics, specifically in the fields of geometry and group theory, a **fundamental domain** is a concept used to describe a specific subset of a space that can be used to represent an entire space under the action of a group. Here are some key points to understand about fundamental domains: 1. **Definition**: A fundamental domain for a group action on a space is a region that contains exactly one representative of each orbit of the action.
Induction heating is a process used to heat electrically conductive materials, mainly metals, by utilizing electromagnetic induction. This method involves the creation of an alternating magnetic field, which induces electric currents (known as eddy currents) within the conductive material. The resistance of the material to these currents generates heat due to the Joule heating effect.
Maglev, short for magnetic levitation, is a technology that uses magnetic forces to lift and propel vehicles, most commonly trains, above a track. This system eliminates friction between the train and the track, allowing for much higher speeds and smoother rides compared to traditional rail systems.
The Method of Images is a mathematical technique used in electrostatics, fluid dynamics, and other areas of physics to simplify the problem of finding potential fields due to charges or other sources in the presence of boundaries. It leverages the principle of superposition and symmetry to replace complex boundary conditions with simpler ones by introducing fictitious charges (or "image charges") in calculated positions.
Negative temperature is a concept primarily found in statistical mechanics and thermodynamics, and it can be somewhat counterintuitive. While temperatures are usually thought of as being positive (0 K and above, where 0 K is absolute zero), negative temperatures can occur in systems with a limited number of energy states, such as certain magnetic systems or some types of dissipative systems.
The commutation theorem for traces is a result in linear algebra and functional analysis, particularly within the context of operator theory. It deals with the properties of the trace operator, which is a map that takes a square matrix (or, more generally, a bounded operator on a Hilbert space) and sums its diagonal elements. The commutation theorem states that if two operators \( A \) and \( B \) commute (i.e.
Karim Morani is an Indian film producer known for his work in the Bollywood film industry. He is one of the co-founders of the production company Cineyug Films, which has produced several notable films. Morani has been involved in various aspects of film production and has also made headlines due to his connections with various celebrities and high-profile figures in the entertainment industry. In addition to his work in films, he has been associated with events and shows related to the film industry.
The Douady rabbit is a fractal related to the field of complex dynamics. It is named after mathematician Adrien Douady, who studied and popularized this type of fractal. The Douady rabbit is generated by iterating a specific quadratic polynomial, similar to how the Mandelbrot set and Julia sets are created. The topology of the Douady rabbit resembles the shape of a rabbit, which is why it has been given that name.
A Siegel disc is a concept in complex dynamics, a branch of mathematics that studies the behavior of iterated functions in the complex plane. It is associated with the dynamics of certain types of complex functions, particularly polynomial maps.
A **parametric array** generally refers to a collection of objects, values, or functions in the context of a parameterized model, often used in fields like mathematics, computer science, and engineering. The term can vary in meaning depending on the context in which it is used. Below are a few interpretations based on different fields: 1. **Mathematics and Statistics**: In mathematics, a parametric array can refer to a set of data or functions defined by parameters.
The term "three-wave equation" can refer to a mathematical description of the interaction among three waveforms in various contexts, particularly in nonlinear wave theory or in the study of wave interactions in fields such as fluid dynamics, optics, or plasma physics. Such three-wave interactions are typically described by equations that model how these waves interact, exchange energy, and propagate through a medium.
The TX-0, short for Transistorized Experimental Computer 0, was an early experimental computer developed in the late 1950s at the Massachusetts Institute of Technology (MIT). It was designed at the MIT Lincoln Laboratory and became operational in 1956. TX-0 is significant for being one of the first computers to use transistor technology instead of vacuum tubes, which made it smaller, more reliable, and much more energy-efficient.
Emden Deep is a notable underwater trench located in the Indian Ocean, specifically within the Java Trench, which is also known as the Sunda Trench. It is one of the deepest parts of the ocean, reaching depths of approximately 7,400 meters (about 24,000 feet). Emden Deep, along with other deep ocean trenches, is formed by tectonic processes where oceanic plates subduct beneath continental or other oceanic plates.
RV Southern Surveyor was an Australian research vessel operated by the Commonwealth Scientific and Industrial Research Organisation (CSIRO). It was primarily utilized for marine research, surveying, and oceanographic studies in Australian waters and beyond. The vessel was equipped with advanced scientific instrumentation and technologies for conducting a wide range of oceanographic research, including studies on marine ecosystems, ocean currents, and seabed mapping.
The limnetic zone is a term used in limnology, the study of inland waters, to describe a specific layer of a freshwater body, such as a lake or pond. This zone is located above the benthic zone (the bottom of the water body) and extends from the surface down to the depth where sunlight is able to penetrate, typically to about 15-20 meters (49-66 feet) in clear waters.
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





