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concatenation

A Dictionary of Computing | 2004 | | Copyright

concatenation The operation of joining two strings to form a longer string. The concatenation of the strings u = a₁,…,a_m and v = b₁,…,b_n

is the following string of length m + n: a₁,…,a_mb₁,…,b_n

Common notations for referring to it include uv and u<>v, but others are also used.

The term concatenation is also generalized to an operation on sets of strings (i.e. formal languages). Let K and L be two sets of strings. Then they can be combined into the following set by concatenating strings from K with strings from L in all possible ways: {uv | u ∈ K, v ∈ L}

This set is usually written KL. The phrase language concatenation is sometimes used to distinguish this from simple concatenation of strings. Both string concatenation and language concatenation gives rise to monoids, the identity elements being Λ and {Λ} respectively (where Λ is the empty string).

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JOHN DAINTITH. "concatenation." A Dictionary of Computing. 2004. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>.

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concatenation

A Dictionary of Architecture and Landscape Architecture | 2000 | | Copyright

concatenation. Union by chaining parts together, as with separate architectural elements in a long façade (each with its own roof and separate composition), the fronts being brought forward or recessed, also called staccato composition. Concatenated façades were favoured by William Kent and other Palladians for articulation. See also additive.

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JAMES STEVENS CURL. "concatenation." A Dictionary of Architecture and Landscape Architecture. 2000. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>.

JAMES STEVENS CURL. "concatenation." A Dictionary of Architecture and Landscape Architecture. 2000. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1O1-concatenation.html

JAMES STEVENS CURL. "concatenation." A Dictionary of Architecture and Landscape Architecture. 2000. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O1-concatenation.html

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Concatenation

Dictionary of Collective Nouns and Group Terms | 1985 | Copyright

Concatenation

a chain; a sequence of things or sounds dependent on each other. See also catena, chain.

Examples: concatenation of bungles and contradictions, 1880; of causes and effects, 1753; of explosions; of felicity, 1622; of ideas, 1867; of orgiasts; of straight lines, 1845.

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"Concatenation." Dictionary of Collective Nouns and Group Terms. 1985. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>.

"Concatenation." Dictionary of Collective Nouns and Group Terms. 1985. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1G2-2505300383.html

"Concatenation." Dictionary of Collective Nouns and Group Terms. 1985. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1G2-2505300383.html

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Free newspaper and magazine articles

	On a concatenation problem.(Formula) Magazine article from: Smarandache Notions Journal; 1/1/2002
	A concatenation of places. Magazine article from: The Architectural Review; 10/1/1995
	New decidable upper bound of the second level in the Straubing-Therien... Magazine article from: Discrete Mathematics and Theoretical Computer Science; 12/1/2010