A dimension is a structure that categorizes facts and measures in order to enable users to answer business questions. Commonly used dimensions are people, products, place and time.
In a data warehouse, dimensions provide structured labeling information to otherwise unordered numeric measures. The dimension is a data set composed of individual, non-overlapping data elements. The primary functions of dimensions are threefold: to provide filtering, grouping and labelling.
These functions are often described as "slice and dice". Slicing refers to filtering data. Dicing refers to grouping data. A common data warehouse example involves sales as the measure, with customer and product as dimensions. In each sale a customer buys a product. The data can be sliced by removing all customers except for a group under study, and then diced by grouping by product.
A dimensional data element is similar to a categorical variable in statistics.
Typically dimensions in a data warehouse are organized internally into one or more hierarchies. "Date" is a common dimension, with several possible hierarchies:
"Dimension" is a song by Australian hard rock band Wolfmother, featured on their 2005 debut studio album Wolfmother. Written by band members Andrew Stockdale, Chris Ross and Myles Heskett, it was released as the second single from the album in Europe (and the third single overall) on 17 April 2006, charting at number 49 on the UK Singles Chart.
Directed by The Malloys, the music video for "Dimension" was first aired in the week of 13 February 2006. Prior to this, the video was featured on the 2006 extended play (EP) Dimensions.
In a review of Wolfmother for Blender, writer Jonah Weiner identified "Dimension" as an example of the band "at [their] hardest", describing it as an "acid anthem".NME reviewer James Jam described the song as "a throb of gonzo metal not unlike Black Sabbath playing Motown".
All songs written and composed by Andrew Stockdale, Chris Ross, Myles Heskett.
In commutative algebra, the Krull dimension of a commutative ring R, named after Wolfgang Krull, is the supremum of the lengths of all chains of prime ideals. The Krull dimension need not be finite even for a Noetherian ring. More generally the Krull dimension can be defined for modules over possibly non-commutative rings as the deviation of the poset of submodules.
The Krull dimension has been introduced to provide an algebraic definition of the dimension of an algebraic variety: the dimension of the affine variety defined by an ideal I in a polynomial ring R is the Krull dimension of R/I.
A field k has Krull dimension 0; more generally, k[x1, ..., xn] has Krull dimension n. A principal ideal domain that is not a field has Krull dimension 1. A local ring has Krull dimension 0 if and only if every element of its maximal ideal is nilpotent.
We say that a chain of prime ideals of the form
has length n. That is, the length is the number of strict inclusions, not the number of primes; these differ by 1. We define the Krull dimension of
to be the supremum of the lengths of all chains of prime ideals in
.
Squash may refer to:
Professional wrestling has accrued a considerable nomenclature through its long existence. Much of it stems from the industry's origins in the days of carnivals and circuses, and the slang itself is often referred to as "carny talk." In the past, wrestlers used such terms in the presence of fans so as not to reveal the worked nature of the business. In recent years, widespread discussion on the Internet has popularized these terms. Many of the terms refer to the financial aspects of pro wrestling in addition to performance-related terms.
Squash is a racket sport played by two (singles) or four players (doubles) in a four-walled court with a small, hollow rubber ball. The players must alternate in striking the ball with their racket and hit the ball onto the playable surfaces of the four walls of the court.
The game was formerly called squash rackets, a reference to the "squashable" soft ball used in the game (compared with the harder ball used in its sister game rackets).
Squash is recognized by the IOC and supporters are lobbying for its incorporation in a future Olympic program.
The use of stringed rackets is shared with tennis, which dates from the late sixteenth century, though is more directly descended from the game of rackets from England. In "rackets", instead of hitting over a net as in sports such as tennis, players hit a squeezable ball against walls.
Squash was invented in Harrow School out of the older game rackets around 1830 before the game spread to other schools, eventually becoming an international sport. The first courts built at this school were rather dangerous because they were near water pipes, buttresses, chimneys, and ledges. The school soon built four outside courts. Natural rubber was the material of choice for the ball. Students modified their rackets to have a smaller reach to play in these cramped conditions.