Aliquot stringing is a technique used in number theory, particularly in the study of integer partitions and the distribution of abundant numbers. The term itself may not be widely recognized outside specific mathematical discussions, but it generally refers to a method of arranging or "stringing together" integers that have a particular relationship in terms of their divisors.
Beatmapping is a process commonly used in music production, video games, and interactive media where a series of beats, rhythms, or musical elements are synchronized to a specific tempo or time signature. This technique is often employed in rhythm games, allowing players to interact with music by hitting notes or beats in time with the song.
A plane wave tube, often referred to as a plane wave generator or plane wave resonator, is a specialized apparatus used in the field of acoustics, electromagnetics, or fluid dynamics to produce and analyze plane waves. The primary function of a plane wave tube is to create a uniform wavefront that approximates a plane wave, which is a wave whose surfaces of constant phase are infinite parallel planes.
Geometrical acoustics is a branch of acoustics that focuses on the propagation of sound waves using geometric principles, rather than wave-based approaches. This method is particularly useful for understanding how sound travels in environments where the wavelength is much smaller than the dimensions of the obstacles or boundaries it encounters.
Direct-field acoustic testing (DFAT) is a method used to evaluate the sound performance of products, particularly in disciplines such as acoustics, audio engineering, and product design. DFAT evaluates how sound propagates in a straightforward configuration, typically in a controlled environment. The process involves measuring the sound produced by a device or object directly in its operational environment or configuration, rather than through indirect methods or in confined spaces.
Induced representation is a concept from representation theory in mathematics, particularly in the study of group theory. It allows one to construct a representation of a larger group from a representation of a subgroup. To understand induced representations, consider the following key ideas: 1. **Groups and Representations**: A group is a mathematical structure consisting of a set of elements equipped with an operation that satisfies certain axioms (closure, associativity, identity, and invertibility).
Hearing protection fit-testing is a procedure used to determine whether an individual’s earplugs or earmuffs provide adequate protection against harmful noise levels. The goal of fit-testing is to ensure that hearing protection devices (HPDs) are properly fitted to each individual, as a poor fit can significantly reduce the effectiveness of the hearing protection. There are several aspects involved in fit-testing: 1. **Assessment of the Fit**: This can involve both subjective and objective methods.
The International Commission for Acoustics (ICA) is a scientific organization focused on the field of acoustics and its various applications. Established to promote the science and practice of acoustics worldwide, the ICA acts as a forum for international collaboration among scientists, engineers, and professionals working in this field. The commission plays a crucial role in facilitating communication and collaboration through conferences, publications, and the dissemination of acoustic research and technology.
The Noise Reduction Coefficient (NRC) is a metric used to evaluate the sound absorption performance of a material or an acoustic treatment. It quantifies how much sound a material can absorb, thus reducing the amount of sound that reflects back into a space. The NRC is calculated as the average sound absorption across a range of frequencies, typically in the octave bands from 250 Hz to 2000 Hz.
Noise spectral density (NSD), often referred to as the power spectral density (PSD) when discussing signals, is a measure of the power distribution of a random signal or noise as a function of frequency. It characterizes how the power of a signal or noise is distributed across different frequency components. ### Key Points: 1. **Definition**: Noise spectral density quantifies the power of a noise signal per unit frequency.
Occupational noise refers to sound that is present in a workplace environment and can potentially harm workers' health and well-being. It is typically characterized by high levels of noise that exceed certain thresholds, which may lead to hearing loss or other negative health effects over time. Occupational noise can come from various sources, such as machinery, equipment, and tools used in industries like construction, manufacturing, mining, and transportation.
Pre-echo is an audio phenomenon that occurs during sound encoding and compression, particularly in lossy formats such as MP3 or AAC. It refers to the unintended audible distortion that precedes a loud sound, often manifesting as a faint echo-like effect. This can happen due to how certain audio encoding algorithms handle transient sounds—sharp, sudden changes in sound levels.
The proximity effect in audio refers to the increase in low-frequency response that occurs when a sound source is positioned very close to a directional microphone, typically a cardioid or hypercardioid microphone. This phenomenon results in a boost in bass frequencies as the microphone captures more low-end sound due to its polar pattern, which is designed to be sensitive to sound coming from the front while rejecting sound from the sides and rear.
Underwater acoustic communication is a method of transmitting information through water using sound waves. Unlike traditional radio communication, which relies on electromagnetic waves, underwater communication must rely on acoustic signals because radio waves can attenuate rapidly in water, making them ineffective for long-distance communication beneath the surface. ### Key Features of Underwater Acoustic Communication: 1. **Medium**: Water is denser than air, which affects how sound propagates.
The Dürerbund, also known as the Dürer Society, was a cultural and artistic organization founded in Munich in 1908. Its primary focus was to promote and preserve the artistic heritage associated with the German artist Albrecht Dürer, who lived during the Renaissance. The organization was dedicated to fostering a deeper understanding of Dürer’s work and its significance in art history, as well as encouraging collaboration among artists and craftsmen.
A sine wave is a mathematical curve that describes a smooth, periodic oscillation. It is one of the most fundamental waveforms in mathematics, physics, and engineering. The sine wave is characterized by its smooth and continuous shape, which resembles a regular, oscillating pattern.
Sonic soot blowers are industrial devices used to clean and remove soot, ash, and other deposits from surfaces such as boiler tubes, heat exchangers, and other equipment in power generation plants, refineries, and various manufacturing processes. They utilize high-frequency sound waves, typically in the ultrasonic range, to create vibrations that can dislodge and remove deposits without requiring physical scraping or extensive manual labor.
Sonification is the process of converting data into non-speech audio signals. It is used to represent information and facilitate understanding through sound. This process can involve transforming numerical data or other forms of information into auditory displays, allowing users to perceive trends, patterns, and anomalies through auditory means. Sonification can be applied in various fields, including scientific research, medical diagnostics, data analysis, and even in artistic contexts.
Ultrasound is a type of sound wave that has frequencies above the range of human hearing, typically above 20 kHz. Sound, in general, is a mechanical wave that propagates through a medium (such as air, water, or solids) as a vibration of particles. The characteristics of sound, including its frequency, wavelength, and amplitude, determine its pitch and volume.
Soundscape ecology is an emerging field within ecology that focuses on the study of acoustic environments and the role that sounds play in ecosystems. It integrates aspects of ecology, sound studies, and bioacoustics to understand how sounds contribute to ecological processes, species interactions, and overall biodiversity. Key components of soundscape ecology include: 1. **Acoustic Habitat**: The soundscape of a particular area, which encompasses all the natural and human-made sounds present in that environment.
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





