Domain wall
A domain wall is a type of topological soliton that occurs whenever a discrete symmetry is spontaneously broken. Domain walls also sometimes called kinks in analogy with closely related kink solution of the sine-Gordon model. Unstable domain walls can also appear if spontaneously broken discrete symmetry is approximate and there is the metastable vacuum.
A domain (hyper volume) is extended in three spatial dimensions and one time dimension. A domain wall is the boundary between two neighboring domains. Thus a domain wall is extended in two spatial dimensions and one time dimension.
Important examples are:
Besides these important cases similar solitons appear in wide spectrum of the models. Here are other examples:
Domain (band)
Domain is a German power metal band.
History
1986–1992
Domain first impressed fans of melodic metal back in the 1980s with their first works, "Lost In The City" (still under the old band name Kingdom), "Before The Storm" and "Crack in The Wall", as well as with their hit songs such as 'Lost In The City' and ‚ 'I Don’t Wanna Die'. Single "Heart Of Stone was a title song of german mini-serial "Bastard".
2000–2006
But it was their next albums, "One Million Lightyears From Home" (2001), "The Artefact" (2002) and "The Sixth Dimension" (2003) as well as a successful tour with the rock legends, Glenn Hughes and Joe Lynn Turner (HTP) that secured the quintet a place in the European Melodic Metal scene. With a harder edged sound, Domain still had a good following. And that was when the career of the guitarist Axel "Ironfinger" Ritt (Grave Digger), ex-vocalist Carsten Lizard Schulz (Evidence One et al.), and the long-term band mates keyboarder Erdmann Lange, ex-bass player Jochen Mayer (Boysvoice, Demon Drive, Casanova) and the ex-drummer Stefan Köllner really began…
Domain of a function
In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined. That is, the function provides an "output" or value for each member of the domain. Conversely, the set of values the function takes on as output is termed the image of the function, which is sometimes also referred to as the range of the function.
For instance, the domain of cosine is the set of all real numbers, while the domain of the square root consists only of numbers greater than or equal to 0 (ignoring complex numbers in both cases). When the domain of a function is a subset of the real numbers, and the function is represented in an xy Cartesian coordinate system, the domain is represented on the x-axis.
Formal definition
Given a function f:X→Y, the set X is the domain of f; the set Y is the codomain of f. In the expression f(x), x is the argument and f(x) is the value. One can think of an argument as an input to the function, and the value as the output.
Aquarium
An aquarium (plural: aquariums or aquaria) is a vivarium of any size having at least one transparent side in which water-dwelling plants or animals are kept and displayed. Fishkeepers use aquaria to keep fish, invertebrates, amphibians, aquatic reptiles such as turtles, and aquatic plants. The term, coined by English naturalist Philip Henry Gosse, combines the Latin root aqua, meaning water, with the suffix -arium, meaning "a place for relating to". The aquarium principle was fully developed in 1850 by the chemist Robert Warington, who explained that plants added to water in a container would give off enough oxygen to support animals, so long as their numbers do not grow too large. The aquarium craze was launched in early Victorian England by Gosse, who created and stocked the first public aquarium at the London Zoo in 1853, and published the first manual, The Aquarium: An Unveiling of the Wonders of the Deep Sea in 1854.
An aquarist owns fish or maintains an aquarium, typically constructed of glass or high-strength acrylic. Cuboid aquaria are also known as fish tanks or simply tanks, while bowl-shaped aquaria are also known as fish bowls. Size can range from a small glass bowl to immense public aquaria. Specialized equipment maintains appropriate water quality and other characteristics suitable for the aquarium's residents.
Aquarium (Aqua album)
Aquarium is the debut studio album by Danish-Norwegian band Aqua. The album was released in Scandinavia on 26 March 1997 and in the United States on 9 September 1997. Although the group had been together for three years under their original name Joyspeed, their only release under that name was a single called "Itzy Bitsy Spider". The album is best known for including the successful singles "Barbie Girl", "Doctor Jones" and "Turn Back Time", the first of those being a huge hit across the globe. (The album was preceded by the two singles "Roses Are Red" and "My Oh My", with the latter re-released in 1998.)
The album's third single, "Barbie Girl" brought the group to international attention after reaching number one in both Denmark and Norway, as well as across Europe and in Australia and New Zealand. It would later peak at number 7 in the US. Its success helped the album reach number one in both the group's home countries, and make the top 10 in the UK and US. While not selling as highly "Barbie Girl", the album's fourth single "Doctor Jones" was released in late 1997/early 1998 and became a number one in Denmark, Norway, Australia and the UK. "Turn Back Time" would later give the group their third consecutive number one single in the UK, despite only reaching number 16 in Denmark. The final single, "Good Morning Sunshine" failed to chart highly and was only released in select regions like the earlier "Lollipop (Candyman)", the group's only other song to chart in the US. The album has sold 14 million copies worldwide.
Aquarium (Buckethead album)
Aquarium is the ninety-fourth studio album by guitarist Buckethead, and the sixty-fourth installment of the Buckethead Pikes Series.
The album was announced on June 5 on two limited edition formats to be released on July 7. The first format consists of 300 copies of an untitled white album signed by Buckethead himself. The second version consists of an unspecified amount of copies of an untitled white album with hand drawn covers and signed by Buckethead himself. The second version was only offered until June 12 while the first version lasted until copies sold out. The album was intended to be released on July 7, but was delayed to July 16.
A digital version was released on July 21 which included the official album title, cover, and track names.
A standard edition was announced but has not yet been released.
