An **algebraic integer** is a special type of number in algebraic number theory. It is defined as a complex number that is a root of a monic polynomial (a polynomial whose leading coefficient is 1) with integer coefficients.

A "singing candle" refers to a type of decorative candle that emits sound, often music or melodies, as it burns. These candles are typically designed with a small electronic component or speaker incorporated into them, allowing them to play tunes when lit. The concept combines visual ambiance with auditory enjoyment, making them popular for special occasions like birthdays, celebrations, or as unique home decor.

Susanne Teschl is a notable academic primarily recognized for her work in the field of mathematics, particularly in the area of differential equations and dynamical systems. She is often associated with research and teaching in applied mathematics, and may be involved in various academic collaborations and publications.

The number 206 can refer to several different contexts, depending on how it's being used. Here are a few possibilities: 1. **Mathematics**: It is simply an integer that comes after 205 and before 207. 2. **Area Code**: 206 is the area code for Seattle, Washington, in the United States.

Anti-submarine weapons are specialized military systems designed to detect, track, and destroy enemy submarines. They are an essential component of naval warfare, particularly for surface ships, aircraft, and submarines themselves that need to counter submarine threats. These weapons come in various forms, including: 1. **Torpedoes**: Homing torpedoes that can be launched from surface ships, submarines, or aircraft.

Antonia Soulez is known as a French mathematician who specializes in areas such as differential equations, analysis, and mathematical modeling. She has contributed to the field through research and publications.

Predator satiation is an ecological strategy employed by certain prey species to avoid predation. This phenomenon occurs when prey animals reproduce in such large numbers that they overwhelm their predators' ability to consume them all. During a specific period, often linked to seasonal cycles or favorable environmental conditions, prey populations experience a rapid increase in numbers. When faced with an abundance of available prey, predators may become satiated, meaning they cannot eat all the prey available.

Applied epistemology is a subfield of epistemology, which is the philosophical study of knowledge—its nature, sources, limits, and validity. While traditional epistemology often focuses on theoretical questions about what knowledge is and how it is acquired, applied epistemology takes these concepts and applies them to practical situations and real-world contexts. In applied epistemology, philosophers and researchers investigate how epistemological theories can inform practices in various domains, such as education, science, law, ethics, and technology.

Auditory illusions are perceptual phenomena where sound is perceived in a way that differs from the actual physical properties of the sound waves. Much like visual illusions, which trick the brain into seeing something other than reality, auditory illusions can cause listeners to hear sounds that aren't there, misinterpret sounds, or perceive sound in unexpected ways.

Archibald Campbell, 1st Baron Blythswood (1852–1937), was a Scottish politician and businessman known for his contributions to the cotton industry in the 19th and early 20th centuries. He was a prominent figure in the textile and manufacturing sectors and was involved in various public and charitable activities. In 1911, he was elevated to the peerage as Baron Blythswood, a title that reflects his wealth and influence during that era.

The Arctic Research Office is a part of the U.S. government that focuses on coordinating and supporting Arctic research efforts. It is typically associated with the National Science Foundation (NSF) and works to enhance the understanding of the Arctic environment, ecosystems, and communities, as well as the impacts of climate change in the region. The office plays a critical role in fostering collaboration among researchers, stakeholders, and indigenous communities, and often facilitates the development of research initiatives that address pressing issues related to the Arctic.

Argus is a programming language designed for constructing distributed and concurrent systems. It was developed in the 1980s as part of research into programming models for distributed computing. Argus aimed to provide a framework for building systems where components can operate independently and asynchronously while synchronizing when necessary. Key features of Argus include: 1. **Distributed Programming**: Argus is designed to support the development of applications that run on multiple machines in a network.

The Artificio de Juanelo, also known as Juanelo Turriano's Water Pump, is an intriguing historical engineering device located in Toledo, Spain. Designed in the 16th century by the Italian engineer and inventor Juanelo Turriano, it was created to supply water from the Tagus River to the city of Toledo, which is situated on a hill and experienced water supply challenges.

Augustin Maior is a notable figure in the field of mathematics and education, particularly recognized for his contributions to mathematics education in Romania. He is often associated with the development of educational resources and methodologies that aim to enhance the teaching and learning of mathematics. However, there may be other specific references to "Augustin Maior" in different contexts, such as historical or cultural references.

Primecoin is a cryptocurrency that was launched in 2013 by an individual or group using the pseudonym Sunny King, who is also known for creating the cryptocurrency Peercoin. Primecoin is unique because it utilizes a proof-of-work algorithm that focuses on finding prime numbers, specifically chains of prime numbers, rather than the traditional cryptographic hash functions used by most cryptocurrencies, like Bitcoin.

Atomix is a puzzle video game that was originally developed by the game studio "AMG Games" and released in the early 1990s. The game involves navigating a series of levels where players must assemble molecules by moving and positioning atoms within a grid. The gameplay typically requires strategic thinking and planning, as players must figure out how to manipulate the atoms to form the correct structures while overcoming various obstacles.

The Bidiakis cube, also known as the Bidiakis knot, is a mathematical construct and a type of geometric puzzle. It is a variation of a cube that is often used in the study of topology and knot theory. The Bidiakis cube can also refer to a specific configuration of a geometric object where the cube exhibits certain twisting or knot-like properties, making it a subject of interest in mathematical visualization and education.

Atropos is a scheduling library typically associated with functional programming languages, most notably Haskell. It provides a way to manage the execution of tasks based on time, allowing for the scheduling of actions to be performed at specific intervals or at specific times. Atropos enables developers to create applications that require predictable timing and can manage the execution of functions and tasks asynchronously.

The Augmented Lagrangian method is a numerical optimization technique used to solve constrained optimization problems. It is particularly useful when dealing with difficulties encountered in traditional methods, such as penalty methods or Lagrange multipliers, especially in cases of non-smooth or non-convex constraints. ### Concept: The Augmented Lagrangian method combines the ideas of Lagrange multipliers and penalty methods to tackle constrained optimization problems.

Auguste Comte (1798–1857) was a French philosopher best known as the founder of positivism and sociology. He is recognized for his efforts to apply the scientific method to the social world, advocating for a systematic study of society that would lead to social progress. Comte's work emphasized the importance of observation and empirical evidence as the basis for knowledge, rejecting metaphysics and theological explanations.