Dimension (data warehouse)

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 (shampoo)

Dimension Shampoo was a heavily perfumed shampoo product, which was produced in the early 1980s. This was by the personal products division of Lever Brothers, and marketed by Ogilvy. The shampoo came in a distinctive dark yellow bottle, and left a strong muskone and civetone aroma on the hair. There was also a companion conditioner marketed with this product. It has been stated by many previous users of dimension shampoo that it caused their hair to fall out, due to the extreme astringency of the product.

On April 18, 1985, Lever Brothers reorganized their marketing structure and moved their personal products division business to J. Walter Thompson.

At the time, Dimension was a highly popular brand. (Lever spent an estimated $12.5M in advertising the brand in 1984.) However, shortly after Lever's marketing reorganization, Dimension ran-out on store shelves, and never returned. Lever Brothers never made any public explanation for the disappearance of the product; although they referred to the marketing reorganization as a consolidation of the personal products brands, and stated that the decision in-part had to do with its plans for international marketing.

One-dimensional space

In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 1, the set of all such locations is called a one-dimensional space. An example of a one-dimensional space is the number line, where the position of each point on it can be described by a single number.

One-dimensional geometry

Lines

The real number line and the real projective line are one-dimensional, though the latter is homeomorphic to a circle.

In algebraic geometry there are several structures which are technically one-dimensional spaces but referred to in other terms. For a field k, it is a one-dimensional vector space over itself. Similarly, the projective line over k is a one-dimensional space. In particular, if k = ℂ, the complex number plane, then the complex projective line P¹(ℂ) is one-dimensional with respect to ℂ, even if it is also known as the Riemann sphere.

More generally, a ring is a length-one module over itself. Similarly, the projective line over a ring is a one-dimensional space over the ring. In case the ring is an algebra over a field, these spaces are one-dimensional with respect to the algebra, even if the algebra is of higher dimensionality.

Faces (Earth, Wind & Fire album)

Faces is the tenth studio album, a double-LP by R&B artists Earth, Wind & Fire, released in 1980 on ARC/Columbia Records. The album reached number 2 and number 10 on the Billboard Black and Pop albums charts.

It has been certified gold in the US by the RIAA. In a 2007 interview when asked which EWF album is his favorite Earth, Wind & Fire leader Maurice White replied "Probably Faces because we were really in tune, playing together and it gave us the opportunity to explore new areas".

The lead-off single was "Let Me Talk". The songs "You", and "Sparkle" followed as single releases. Unlike previous Earth, Wind and Fire albums, there was no U.S. tour in support of the album. This was also the last Earth Wind and Fire recording with guitarist Al McKay, who left the group the next year. This album is noted for featuring Steve Lukather, guitarist for EWF's label mate Toto, on the songs "Back on the Road" and "You Went Away".

2 extra interludes have been included as part of the album since the release of the Columbia Master's collection in 2011. The track "Oriental" comes directly before "Faces" while "Pipe Organ" follows it.

Faces (Star Trek: Voyager)

"Faces" is the 14th episode of Star Trek: Voyager.

Plot

Lieutenant Paris (now Junior Grade, evinced by the partially filled pip on his collar), Chief Engineer Torres and Ensign Durst fail to return from an away mission to a planet. The away team have been captured by the Vidiians, and a Vidiian scientist has used advanced medical technology to create two forms of Torres from her mixed DNA, one pure Klingon and one pure human. The scientist hopes to create a cure for the Phage, a deadly disease that afflicts his entire race, by studying the unusual resistance that Klingon metabolism has to it. Commander Chakotay takes a team to investigate and discovers that the caves in which the away team were working have shifted. They deduce that the caves are illusions: advanced holography as used by the Vidiians in a previous encounter with the Voyager crew.

The human version of Torres, meanwhile, is kept imprisoned with Paris and Durst. The Vidiian scientist studying Klingon Torres sees her going through the first symptom of severe agony, but she is fighting off the disease. Meanwhile, Paris, still in the holding cells, finds B'Elanna as a full human. While there, B'Elanna explains her origins, of how her father left when she was five and how she did everything to hide her Klingon heritage as a child. Klingon B'Elanna tries to use her feminine charm to have the scientist release her, but his desire to find a cure overrules his lust. In the holding cells, two guards arrive and take Ensign Durst. The human B'Elanna is scared as opposed to her Klingon half's relentless tenacity. After reviewing what they know from the last time the Vidiians encountered Voyager, the crew begin running simulations on how to get past the Vidiian force fields. In a naive effort to calm his prisoner, the Vidiian scientist kills Durst and uses his face to cover his Phage-ravaged features to try to better impress Klingon B'Elanna.

Faces (2 Unlimited song)

"Faces" is a song recorded by Belgian/Dutch Eurodance band 2 Unlimited.

Release and reception

Faces was released in August 1993 as the third single from 2 Unlimited's second album, No Limits!.

The release scored chart success in many European countries peaking at #2 in their homeland of The Netherlands and hitting the top ten in the UK, Belgium and Spain among others.

The single version of "Faces" is a radio edit of the album version included on the No Limits! album internationally. "Faces (Radio Edit)" substitutes the less-palatable, harsh synth lead with a milder rendition of the same riff. In the United States, this radio edit of "Faces" was included on the No Limits! album instead of the album version found on all international pressings. In the UK, the radio edit of "Faces" omitted the main rap, but like Tribal Dance, the song left in more vocals from Ray Slijngaard.

Track listing

Charts

References

External links