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).
Birkhoff's theorem in electromagnetism states that the only stationary, spherically symmetric solution to the Einstein-Maxwell equations, which describe the gravitational field influenced by an electromagnetic field, is the Schwarzschild solution in the absence of charge or the Reissner–Nordström solution in the presence of an electric charge.
Blondel's experiments refer to a series of studies conducted by the French psychologist André Blondel in the early 20th century. His work primarily focused on the psychological phenomenon known as "attention," particularly in the context of perception and consciousness. One of Blondel's notable contributions was his investigation into the effects of divided attention and the limits of perceptual processing.
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.
Kinetic inductance is a phenomenon that arises in superconducting circuits and, more generally, in systems where the motion of charge carriers significantly affects the electrical properties of the material. It is a type of inductance related to the inertia of charge carriers (such as Cooper pairs in superconductors) when they are forced to change their motion due to an applied voltage or current. In classical inductance, the inductance arises from the magnetic field generated by the current flowing through a conductor.
The term "carousels" can refer to different concepts depending on the context. Here are a few common meanings: 1. **In User Interface Design**: A carousel is a web or application interface component that allows users to cycle through a series of items, such as images, text, or cards. Users can navigate through these items usually by clicking arrows or dots, or sometimes automatically based on time intervals.
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.
The Transmission-Line Matrix (TLM) method is a numerical technique used to solve electromagnetic problems, particularly in the fields of microwave engineering, electromagnetics, and circuit simulation. The TLM approach is based on the principles of transmission line theory and exploits the analogy between electrical circuits and the propagation of waves in space. ### Key Concepts: 1. **Transmission Line Theory**: The TLM method models electromagnetic wave propagation using a network of interconnected transmission lines.
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.
The No-Wandering Domain Theorem is a result in dynamical systems, particularly in the study of differentiable dynamical systems. It addresses the behavior of certain types of dynamical systems and provides insights into the structure of their trajectories.
A cut-off low is a meteorological term that refers to a low-pressure system that has detached or "cut off" from the prevailing mid-latitude westerlies, typically becoming isolated from the main jet stream. This phenomenon often occurs when a low-pressure area, which has developed typically in the mid or upper levels of the atmosphere, becomes surrounded by high pressure on all sides.
The Rokhlin lemma is a result in measure theory and ergodic theory, particularly related to the study of measurable functions and measurable sets. It is often applied within the context of dynamical systems and is named after the Russian mathematician V. A. Rokhlin.
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.
Nikolay V. Kuznetsov could refer to various individuals, as it is a relatively common name. However, without specific context, it's hard to pinpoint exactly which individual you're referring to. In academic or professional contexts, for example, he might be a researcher, scientist, or a professional in a certain field.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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