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 .
Daydream(白日夢,Hakujitsumu) (1981) is a Japanese film. A remake by director Tetsuji Takechi of his ground-breaking 1964pink film of the same title, this film is considered the first hardcore theatrical release in Japan.
Background
Maverick theater and film director Tetsuji Takechi had directed Japan's first big-budget Pink film in 1964 with Daydream. He directed more films in the 1960s, including Black Snow1965, which resulted in a high-profile obscenity trial. During the 1970s he concentrated on writing projects, and served as the host of a successful television series, The Tetsuji Takechi Hour for the previous decade. In 1981, the then 68-year old Takechi decided to return to film with a hardcore remake of Daydream. Takechi again chose Akira Takeda, Nagisa Oshima's cinematographer between 1965 and 1968, to shoot his film,
Noticing Kyōko Aizome in one of her nude photo magazine appearances, Takechi chose the then unknown actress to star in the film. After the film's release, Aizome added to the controversy by admitting to having performed actual sexual intercourse on camera. Though, as Japanese law required, sexual organs and pubic hair were fogged on screen, the Asahi Shimbun called it a breakthrough film as Japan's first hardcore pornographic movie, and Aizome received national notoriety from starring in the film, thereby becoming Japan's first hardcore pornographic star. Her name became a selling-point for future films such as Kyōko Aizome's Somber Reminiscence (1983).
Daydream(白日夢,Hakujitsumu) is a 1964 Japanese film. It was the first erotic film to have a big budget and a mainstream release in Japan, and was shown at the Venice Film Festival and given two releases in the United States. Director Tetsuji Takechi remade the film in hardcore versions in 1981 and 1987. Both of these remakes starred actress Kyōko Aizome.
Background
Early erotic films
In the years since the end of World War II, eroticism had been gradually making its way into Japanese cinema. The first kiss to be seen in Japanese film—discreetly half-hidden by an umbrella—caused a national sensation in 1946. In the mid-1950s, the controversial taiyozoku films on the teen-age "Sun Tribe", such as Ko Nakahira's Crazed Fruit (1956), introduced unprecedented sexual frankness into Japanese films. At the same time, films such as Shintoho's female pearl-diver films starring buxom Michiko Maeda, began showing more flesh than would have previously been imaginable in the Japanese cinema. Nevertheless, until the early 1960s, graphic depictions of nudity and sex in Japanese film could only be seen in single-reel "stag films," made illegally by underground film producers such as those depicted in Imamura's film The Pornographers (1966).
Motion picture storytelling branched off into unexplored new dimensions ... But the mind-bending meta dimension is similar—enhanced, even ... Stream it nowMoonage Daydream. Moonage Daydream ... Moonage Daydream ...
“North Coast500” might more accurately be described as “wistful,” with the title conjuring a mental image of someone on a scenic car ride, daydreaming while gazing out the window.
... him?) are more like Styles’ muses on songs such as “Grapejuice,” a summer-ready romantic bop, and “Daydreaming,” a perfect soul-pop soufflé that adds a dash of the 5th Dimension into the mix.
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 
