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.
Typically dimensions in a data warehouse are organized internally into one or more hierarchies. "Date" is a common dimension, with several possible hierarchies:
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.
Critical reception
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 gonzometal not unlike Black Sabbath playing Motown".
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.
Explanation
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 .
In stage lighting, a fade is a gradual increase or decrease of the intensity of light projected onto the stage. The term fade-in refers to gradually changing the lighting level from complete darkness to a predetermined lighting level. A fade-out (also known as fade-to-black) refers to gradually decreasing the intensity of light until none is shining on the stage. A crossfade is when lighting levels are gradually altered from one setting to another. A fade-in is sometimes called a build, and where this terminology is used, a fade is understood to be a fade-out.
Increasing lighting intensities that are not black is referred to as a fade-up. Similarly, decreasing lighting intensities to a level above black is referred to as a fade-down.
Cross-fades are accomplished by executing fade-ups and/or fade-downs. In nearly all theatrical lighting designs, multiple lighting instruments are used to illuminate the stage at any one time. A cue refers to the recorded state of illumination for the entire stage at that time. The intensity of the lighting instruments are often altered with a single crossfade, altering the lighting state of the stage.
"Fade" is a song by British music producer and DJ Jakwob, with vocals courtesy of Maiday. The song was released as a single on 15 March 2013 as a digital download in the UK. The song has peaked to number 35 on the UK Singles Chart.
Music video
A music video to accompany the release of "Fade" was first released onto YouTube and VEVO on 10 February 2013 at a total length of three minutes and twenty-six seconds. The music video was directed by Billy Boyd Cape and features a performance from Nicole O'Neill. In just 40 days the video peaked 1 million views.
Track listing
Chart performance
On 24 March 2013 the song entered the UK Singles Chart at number 35, becoming his first top 40 single in the UK. On 14 April 2013 the song re-entered the Top 40 at 37.
"Fade" was an extremely obscure single released promotionally in the Philippines by the band Blue Angel, taken from their 1980 album also called Blue Angel. Vocals were provided by Cyndi Lauper. It did not achieve any chart success and did not even have an accompanying picture sleeve. It was a last-ditch effort to capitalize on the record which had not lived up to sales expectations.
It is a fact that the Sino-US relationship has evolved into a complex rivalry that encompasses economic, technological, military and ideological dimensions. This is not a rivalry likely to fade any ...
It is a fact that the Sino-US relationship has evolved into a complex rivalry that encompasses economic, technological, military and ideological dimensions. This is not a rivalry likely to fade any ...
The memory of that moment has surely faded or been tainted in the minds of Cowboys fans ... Most of all, it’s lacking imagination and dimension. It’s a faded, sun-bleached and weathered copy of the Dallas ...
Then, 2014’s Dragon Age... Recommended Videos ... The game’s prologue opens with the customizable main protagonist, Rook, as they journey to stop Solas from opening up a portal to the Fade, a magical dimension filled with dangerous monsters ... ....
VENICE/ROME, Italy, Sept ... As the vest glows in sync with the narrative, the boundary between viewer and story fades away, transporting the audience to a new dimension ... Twenty-six projects are competing for the top prize in this category ... Enditem. .
28. 2024. (Xinhua/Zhang Xinwen) ... VENICE/ROME, Italy, Sept ... As the vest glows in sync with the narrative, the boundary between viewer and story fades away, transporting the audience to a new dimension ... 28. 2024. (Xinhua/Zhang Xinwen) ... 30, 2024 ... .
With excruciating anguish, they bore witness to his gradual fade into an unrecognisable reality ... It boldly confronts the cruel realities of witnessing a loved one unravel and fade away.
While that was big news back then, the transnational dimension just faded away over a couple of years, and Neom is for now confined to Saudi Arabia... way and distinct sub-projects or dimensions emerged.
By Samuel LARTEY (Prof) ... Skill Development. ... The phenomenon known as “ethical fading,” where the ethical dimensions of a decision fade from view under pressure or in the face of rationalization, can play a significant role here ... Conclusion.
on April 13. Press materials explain, “From the moment the lights fade to darkness, you’re transported into another worldanother dimension, where the music moves you and the visuals are unlike anything you’ve ever seen ... .
EarthDimension... The color of the sofa is SierraLodgeTapestry, and its dimensions are 88.00Lx37.00Wx36.00H ... Sierra Lodge Tapestry Dimension ... Rust Dimension ... Rust Dimension ... Brown/Walnut Dimension ... Brown Dimension ... Oak Dimension ... Rustic Brown Dimension.
StandardDimension... Dimension ... They also contain UVX-15 sunscreen to protect leather from sun damage, fading, drying, and cracking ... Clear Dimension ... Shields against sun damage, fading, and cracking CARE FOR YOUR CAR ... Dimension ... Black Dimension.
With its high-quality construction and UV inhibitor, this trash can is designed to withstand even the harshest environments without fading, warping, cracking, or crushing ...GrayDimension ... Gray Dimensions ... Black Dimension ... Gray Dimension ... Black Dimension.
With its high-quality construction and UV inhibitor, this trash can is designed to withstand even the harshest environments without fading, warping, cracking, or crushing ...GrayDimension ... Black Dimension ... Black Dimension ... Gray Dimension ... Black Dimension.
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 
