An eddy current brake is a type of braking system that utilizes electromagnetic induction to slow down or stop the motion of a moving object. It operates on the principle of eddy currents, which are loops of electrical current that are induced within conductors by a changing magnetic field, according to Faraday's law of electromagnetic induction. ### How it Works: 1. **Magnetic Field Creation**: The system includes a magnetic field source, such as a permanent magnet or an electromagnet.
Electrodynamic droplet deformation refers to the changes in shape or behavior of a droplet when it is subjected to an external electric field. This phenomenon can involve several effects, including but not limited to the stretching, elongation, or fragmentation of the droplet due to the forces induced by the electric field. In typical scenarios, when a droplet is placed in an electric field, the electric forces can overcome the surface tension forces acting on the droplet.
Snake Projection is a method used in cartography to represent geographic areas in a way that minimizes distortion, typically for the purpose of creating maps that help visualize spatial relationships more accurately. The technique involves creating a map projection that distorts the areas of shapes (like continents and countries) less than traditional projections. The idea is to “snake” the shapes across the map surface to ensure that their relative sizes remain more consistent with their true sizes on the globe.
The Ettingshausen effect is a phenomenon observed in certain materials, particularly in semiconductors and metals, where a temperature gradient induces a transverse electric field. This effect is essentially a thermoelectric effect related to the Seebeck effect, but it is specifically associated with the generation of transverse potential differences in response to a temperature difference across a conductor.
Inductance is a property of an electrical circuit that quantifies the ability of a component, typically a coil of wire (known as an inductor), to store energy in a magnetic field when an electric current passes through it. It is defined as the ratio of the induced electromotive force (EMF) in the coil to the rate of change of current flowing through it.
Lenz's law is a principle in electromagnetism that describes the direction of induced electric current in a conductor due to a changing magnetic field. Formulated by Heinrich Lenz in 1834, the law states that the direction of the induced current will be such that it opposes the change in magnetic flux that produced it. In simpler terms, if a magnetic field through a loop of wire increases, the induced current will flow in a direction that creates a magnetic field opposing the increase.
A magnetic sail, often referred to as a "magnetohydrodynamic sail" or simply "mag sail," is a proposed spacecraft propulsion system that uses magnetic fields to interact with the solar wind—the stream of charged particles emitted by the Sun. This concept leverages the principles of electromagnetism to provide thrust, allowing spacecraft to travel through space without relying solely on conventional propellants.
In physics, particularly in the field of particle physics, "monsters" can refer to very massive and unstable particles or theoretical constructs that challenge current understanding. However, it's worth noting that the term "monster" is not a standardized term in the discipline. One of the most well-known uses of "monster" in theoretical physics is the "Monster Group," which is the largest of the 26 "simple" groups in the classification of finite groups in group theory.
A rocket sled launch refers to a method of launching payloads or testing vehicles using a sled accelerated by rocket propulsion. This technique is often used in experimental and testing scenarios, such as evaluating the performance of new technologies or materials under extreme conditions. Here are the key components and principles involved in a rocket sled launch: 1. **Sled Design**: The sled itself is typically a large platform that can carry a variety of payloads, such as missiles, spacecraft, or other equipment.
The Stewart–Tolman effect, named after physicists Harold Stewart and Richard C. Tolman, refers to an interesting phenomenon in thermodynamics and statistical mechanics, particularly in the context of systems with gravitational fields. In essence, the Stewart–Tolman effect describes how the temperature of a gas in a gravitational field can vary with height. More specifically, it suggests that in a stationary gravitational field, the temperature of a gas decreases as one moves upwards in the gravitational field.
Nikolai Luzin (1883–1950) was a prominent Russian mathematician known for his contributions to various fields of mathematics, particularly in the areas of mathematical analysis and topology. He played a significant role in the development of set theory and made important contributions to the theory of functions of real variables.
Entropy Network refers to a decentralized blockchain protocol that is often designed to enhance data management and privacy in various applications. It aims to harness the concept of entropy, which in information theory represents the degree of disorder or randomness, to improve data storage, retrieval, and security. Key features and aspects often associated with Entropy Network include: 1. **Decentralization**: Utilizing blockchain technology, it aims to distribute data across multiple nodes to enhance security and reduce reliance on a single central authority.
The Equidistribution Theorem, also known as Weyl's Criterion, is a result in number theory and the theory of uniform distribution that describes the distribution of sequences in the unit interval \([0, 1]\). It primarily addresses how uniformly a sequence of numbers is spread out over this interval.
The Maximal Ergodic Theorem is a result in ergodic theory, which is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. The theorem addresses the behavior of certain sequences of averages associated with dynamical systems, particularly those involving the action of a measure-preserving transformation.
A "thick set" usually refers to a group of people or objects that are particularly stout, broad, or robust in appearance. The term can apply to various contexts, including descriptions of physical build in athletes, animals, or even objects that have a substantial or dense composition. In a different context, "thickset" can also refer to something that is densely packed or closely arranged, such as vegetation in a forest or a collection of materials.
The filled Julia set is a mathematical concept in the context of complex dynamics, particularly related to the behavior of iterating complex functions. More specifically, it is derived from the iteration of a complex function, typically of the form \( f(z) = z^2 + c \), where \( z \) is a complex variable and \( c \) is a complex parameter.
In the context of mathematical set theory and topology, the concept of a "limit set" can refer to different ideas depending on the specific area of study. Here are a few interpretations: 1. **Limit Set in Topology**: In topology, the limit set of a sequence of points refers to the set of all limit points of that sequence.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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