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 .
We’ve already heard a few whispers about a “lite” version of the Legion Go, presumably slimming down the beefy 8-inch handheld’s dimensions, so one of these three models could be that design (if it’s still active).
However, after the large-scale multiverse shenanigans of No WayHome, it might be best to do something more low-key ... Spider-Man. Far From Home and No Way Home had extravagant action sequences involving legions of StarkDrones or the mirror dimension.
Dimensions...LegionTower 5 Gen 8 with RTX 3050 ... Dimensions ... Legion Tower 5 Gen 8 with RTX 3060 Ti ... If you do want a gaming PC that can handle 1080p gaming relatively well, then this configuration of the Legion Tower 5 is the way to go ... Dimensions.
Lenovo Legion 9i ... “There's no gaming laptop that can touch the Lenovo Legion 9i.” ... But trust me — the Lenovo Legion 9i earns it ... Lenovo Legion 9i (2023) specsLenovo Legion 9i. designLenovo Legion 9i. portsLenovo Legion 9i.
But as with most artists who echo resoundingly in the culture, his work — and, not incidentally, the legions of Parrotheads whose lifestyles he inspired — takes on additional dimensions when you pull the lens back and consider the broader shoreline ... .
But as with most artists who echo resoundingly in the culture, his work — and, not incidentally, the legions of Parrotheads whose lifestyles he inspired — takes on additional dimensions when you pull the lens back and consider the broader shoreline.
But as with most artists who echo resoundingly in the culture, his work — and, not incidentally, the legions of Parrotheads whose lifestyles he inspired — takes on additional dimensions when you pull the lens back and consider the broader shoreline ... .
But as with most artists who echo resoundingly in the culture, his work — and, not incidentally, the legions of Parrotheads whose lifestyles he inspired — takes on additional dimensions when you pull the lens back and consider the broader shoreline ... .
But as with most artists who echo resoundingly in the culture, his work — and, not incidentally, the legions of Parrotheads whose lifestyles he inspired — takes on additional dimensions when you pull the lens back and consider the broader shoreline ... .
But as with most artists who echo resoundingly in the culture, his work — and, not incidentally, the legions of Parrotheads whose lifestyles he inspired — takes on additional dimensions when you pull the lens back and consider the broader shoreline ... .
A person plays a game on Lenovo Legion Go while looking up at a virtual screen with Legion Glasses on ... But if you want more, you can supersize that to TV dimensions without sacrificing portability, thanks to the new Legion Glasses.
The newLegion 9i Pro, however, is something special ... It’s not here yet, but the Legion Pro 9i might be Lenovo’s best laptop yet ... Lenovo Legion Pro 9i. Dimensions 14.08x 10.93x 0.74–0.89-inches.
Lenovo to soon join Asus with its own Windows-powered handheld gaming console - Legion Go running ... This means Legion Go might be bigger in terms of dimensions compared to the SteamDeck and ROGAlly, both of which sport a 7-inch display.
Lenovo Legion Pro 5 ... “The Lenovo Legion Pro 5 is a next-gen gaming laptop that is actually affordable.” ... The Lenovo Legion Pro 5 has a different focus ... Lenovo Legion Pro 5 (2023) specs ... Lenovo Legion Pro 5 (2023).
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 
The Star Democrat
06 Sep 2023
The Star Democrat
06 Sep 2023