Shafarevich's theorem, often discussed in the context of algebraic number theory, specifically addresses the solvability of Galois groups of field extensions. The theorem essentially states that under certain conditions, a Galois extension of a number field can have a Galois group that is solvable.
Space travel under constant acceleration refers to a hypothetical scenario in which a spacecraft continually accelerates at a steady rate, rather than relying on brief bursts of propulsion followed by coasting. This concept is often discussed in the context of long-duration spaceflight, such as missions to distant stars or other galaxies. ### Key Concepts: 1. **Constant Acceleration**: This means that the spacecraft’s propulsion system generates a uniform force, causing the spacecraft to accelerate at a constant rate.
The Kassel kerb, also known as the Kassel curb or Kassel edge, is a type of raised curb that is used primarily in pedestrian areas and bus lanes. Named after the city of Kassel in Germany, this design features a distinctive profile that helps to protect pedestrians while providing a clear delineation between pedestrian walkways and vehicle lanes.
Alexey Okulov could refer to an individual, but without additional context, it's difficult to provide specific information. There may be multiple people with that name across various fields such as sports, academia, or arts. If you have a particular context in mind (e.g.
The standard unit of acceleration in the International System of Units (SI) is meters per second squared (m/s²). This unit measures how much the velocity of an object changes per second for each second of time. In general, acceleration can be defined as the rate of change of velocity of an object with respect to time.
Yuri Semenov could refer to multiple individuals, but one notable figure is Yuri Semenov, a prominent Russian scientist known for his contributions to fields such as physics, mathematics, or engineering.
Rindler coordinates are a specific set of coordinates used in the context of special relativity and general relativity to describe the perspective of an observer undergoing constant proper acceleration. They are particularly useful for analyzing scenarios involving accelerated frames of reference. In Minkowski space (the spacetime of special relativity), Rindler coordinates are derived from the usual Cartesian coordinates by performing a change of coordinates that reflects the experience of an observer who is accelerating with respect to an inertial observer.
"Sonar" refers to a technology used for detecting and locating objects underwater by using sound waves. The term is an acronym for "Sound Navigation and Ranging." Sonar systems work by emitting sound pulses (or pings) into the water and then measuring the time it takes for the echoes to return after bouncing off objects, such as the sea floor, submarines, or schools of fish.
Centripetal force is the force that acts on an object moving in a circular path, directed towards the center of the circle around which the object is moving. It is the force that keeps the object from flying off in a straight line due to its inertia. The term "centripetal" comes from Latin, meaning "center-seeking.
A G-suit, or gravitational suit, is a type of pressure suit worn by pilots and astronauts to counteract the effects of acceleration forces, particularly during high-speed maneuvers or in higher gravity environments. The primary purpose of a G-suit is to prevent a condition known as "G-induced Loss Of Consciousness" (GLOC), which occurs when blood pools away from the brain due to high G-forces, potentially leading to unconsciousness.
Accessible Mexico City Metro stations refer to those stations that have been equipped with facilities and features to accommodate individuals with disabilities or mobility challenges. This initiative has been part of Mexico City's broader efforts to improve public transportation accessibility. Key features of accessible stations typically include: 1. **Elevators and Ramps**: To enable easy access between different levels of the station, especially for wheelchair users or individuals with limited mobility.
Mobility devices are assistive tools designed to help individuals with mobility impairments or difficulties move around more easily and safely. These devices can vary widely in type, function, and design, and they are used by people with a range of conditions, including injuries, disabilities, age-related mobility issues, and chronic health conditions. Common types of mobility devices include: 1. **Wheelchairs**: Manual or powered chairs that provide mobility for individuals who cannot walk or have limited mobility.
Paratransit services are transportation options designed to assist individuals who are unable to use regular public transit due to disabilities, age, or other special needs. These services are typically more flexible than standard public transportation and may include: 1. **Demand-Responsive Services**: Unlike fixed-route transit, paratransit often allows riders to book trips based on their needs. Transportation providers adjust routes and schedules based on individual requests.
Symbolic Sound Corporation is a company known for developing music and audio software, particularly in the realm of algorithmic composition and sound synthesis. One of its most notable products is the Kyma Sound Design System, which is a platform used for sound design, music composition, and audio processing. Kyma is highly regarded in the audio community for its powerful capabilities in real-time audio manipulation and its use of a visual programming language that facilitates the creation and modification of complex sound synthesis algorithms.
Acoustic microscopy is a high-resolution imaging technique that utilizes sound waves to investigate the internal structures of materials and biological specimens at the microscopic level. The fundamental principle involves the propagation of ultrasonic waves, which are sound waves at frequencies typically greater than 1 MHz, through the sample being studied. Here are some key aspects of acoustic microscopy: 1. **Technology**: Acoustic microscopes use high-frequency ultrasound to produce images. A transducer generates ultrasonic waves that are transmitted through the specimen.
New Zealand acoustical engineers are professionals who specialize in the science of sound and its applications in various fields, including architecture, environmental assessment, and industrial design. Their work involves understanding and controlling sound, whether to enhance the acoustic performance of buildings, mitigate noise pollution, or design sound systems.
Sonic Visualiser is an open-source software application designed for viewing and analyzing the contents of audio files. It's particularly popular among musicologists, audio engineers, and researchers who need to examine and manipulate audio data visually. Some key features of Sonic Visualiser include: 1. **Waveform Display**: Users can visualize the audio waveform, allowing for a detailed view of amplitude variations over time.
Aon plc is a global professional services firm based in London, specializing in risk, retirement, and health solutions. The company provides a wide range of services, including insurance brokerage, reinsurance, human resources consulting, and employee benefits solutions. Aon's operations are structured into several main segments, including risk solutions, retirement solutions, and health solutions, catering to various industries and clients worldwide.
The Insurance Services Office (ISO) is an organization that provides various services to the insurance industry, including data analysis, risk assessment, and policy development. Established in 1971, ISO plays a crucial role in developing and standardizing policy forms and coverage specifications for various types of insurance, including property, casualty, and auto insurance. ISO is known for its comprehensive databases that contain historical insurance claims and loss data, which help insurers assess risks more accurately and set appropriate premiums.

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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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