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.
Besides these important cases similar solitons appear in wide spectrum of the models. Here are other examples:
Spontaneous breaking of discrete symmetries at early cosmological epochs can produce domain wall. Formation of domain wall network influence on the late stages of cosmological inflation and the cosmic microwave background radiation. Observations impose severe constraints on the existence of stable domain walls. Those constraints should be accounted for by the models of the beyond Standard Model physics. Unstable cosmic domain walls decay also should produce potentially observable radiation.
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".
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…
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.
Given a functionf: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.
Global (often written in all capitalized letters as GLOBAL) is a brand of cutlery products made by Yoshikin of Japan. Their selection of knives are known for their distinctive one piece, molybdenum/vanadiumstainless steel design. These are considered premium level products with a single knife often costing upwards of $100 (USD). Global products can often be found at specialty cooking retailers.
Compared to conventional European knives such as PUMA,J. A. Henckels or Wusthof, Global knives are made from a significantly harder alloy of steel, use a thinner blade thickness, and are ground to a narrower angle. This produces an extremely sharp knife which keeps its edge longer and allows for more accurate work, but takes longer to sharpen when it becomes dull. Because of this, the manufacturer recommends using whetstones and ceramic sharpening rods as opposed to the European sharpening steel. In addition, Global knives are renowned for their surprisingly light weight and even balance, a trait achieved by hollowing out the handle during production.
Global, styled also as Global with Matthew Amroliwala (as of 8 September 2014), is a news programme on BBC World News that premiered on 14 January 2013 with the relaunch of the channel from Broadcasting House. The programme was hosted initially by Jon Sopel who joined the channel from the domestic BBC News channel. Sopel regularly presented the programme on location around the world and in this case it is broadcast in part on the BBC News channel. Sopel was promoted to North America Editor in 2014, and was succeeded in September by Matthew Amroliwala.
Global replaced The Hub, which originally was an edition of World News Today and served as a news 'nerve centre' for South Asia and the Middle East, providing both the headlines, and detailed analysis of the global news agenda.
When Jon Sopel presented, the title sequence ends by stating 'Global with Jon Sopel'. However, when he does not, as he is often on assignment, the titles only show 'Global', regardless of the replacement presenter. This only happens if he isn't reporting from a location on a topic covered in the show.