Disjunctive sequence
A disjunctive sequence is an infinite sequence (over a finite alphabet of characters) in which every finite string appears as a substring. For instance, the binary Champernowne sequence
formed by concatenating all binary strings in shortlex order, clearly contains all the binary strings and so is disjunctive. (The spaces above are not significant and are present solely to make clear the boundaries between strings). The complexity function of a disjunctive sequence S over an alphabet of size k is pS(n) = kn.
Any normal sequence (a sequence in which each string of equal length appears with equal frequency) is disjunctive, but the converse is not true. For example, letting 0n denote the string of length n consisting of all 0s, consider the sequence
obtained by splicing exponentially long strings of 0s into the shortlex ordering of all binary strings. Most of this sequence consists of long runs of 0s, and so it is not normal, but it is still disjunctive.
A disjunctive sequence is recurrent but never uniformly recurrent/almost periodic.
Lexicon (disambiguation)
The lexicon of a language is its vocabulary.
Lexicon is also a synonym for a dictionary or encyclopedic dictionary, and may also refer to:
See also
Untitled (Selections from 12)
Untitled (Selections From 12) is a 1997 promotional-only EP from German band The Notwist which was released exclusively in the United States. Though the release of the EP was primarily to promote the band's then-current album 12, it contains one track from their 1992 second record Nook as well as the non-album cover of Robert Palmer's "Johnny and Mary". The version of "Torture Day" on this EP features the vocals of Cindy Dall.
Track listing
Untitled (Marc and the Mambas album)
Untitled is the first studio album by the British singer/songwriter Marc Almond's band Marc and the Mambas. It was released by Some Bizzare in September 1982.
Background
Untitled was Almond's first album away from Soft Cell and was made concurrently with the latter's The Art of Falling Apart album. Almond collaborated with a number of artists for this album, including Matt Johnson of The The and Anni Hogan. The album was produced by the band, with assistance from Stephen Short (credited as Steeve Short) and Flood.
Jeremy Reed writes in his biography of Almond, The Last Star, that Untitled was "cheap and starkly recorded". He states that Almond received "little support from Phonogram for the Mambas project, the corporate viewing it as non-commercial and a disquieting pointer to the inevitable split that would occur within Soft Cell". An article in Mojo noted that "from the beginning, Almond and Ball had nurtured sideline projects, though only the former's - the 1982 double 12 inch set Untitled - attracted much attention, most of it disapproving." The article mentions that Almond "who preferred to nail a song in one or two takes" stated that it was all "about feel and spontaneity, otherwise it gets too contrived" when accused of singing flat.<ref name"mojo">Paytress, Mark. "We Are The Village Sleaze Preservation Society". Mojo (September 2014): 69. </ref>
Untitled (West)
Untitled is an outdoor 1977 stainless steel sculpture by American artist Bruce West, installed in Portland, Oregon, in the United States.
Description
Bruce West's Untitled is installed along Southwest 6th Avenue between Washington and Stark streets in Portland's Transit Mall. It was one of eleven works chosen in 1977 to make the corridor "more people oriented and attractive" as part of the Portland Transit Mall Art Project. The stainless steel sculptures is 7 feet (2.1 m) tall. It was funded by TriMet and the United States Department of Transportation, and is administered by the Regional Arts & Culture Council.
See also
References
External links
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