Contraction Mapping, Lipschitz
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Contraction Mapping, Lipschitz
Contraction may refer to: Linguistics * Contraction (grammar), a shortened word * Poetic contraction, omission of letters for poetic reasons * Elision, omission of sounds ** Syncope (phonology), omission of sounds in a word * Synalepha, merged syllables ** Synaeresis, combined vowels ** Crasis, merged vowels or diphthongs Mathematics and logic * Contraction (operator theory), in operator theory, state of a bounded operator between normed vector spaces after suitable scaling * Contraction hierarchies, in applied mathematics, a technique to speed up shortest-path routing * Contraction mapping, a type of function on a metric space * Edge contraction or vertex contraction, graph operations used in graph theory * Tensor contraction, an operation on one or more tensors that arises from the natural pairing of a finite-dimensional vector space and its dual * Geometric algebra#Extensions of the inner and exterior products, Left contraction and right contraction of multivectors in a geo ...
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Contraction (grammar)
A contraction is a shortened version of the spoken and written forms of a word, syllable, or word group, created by omission of internal letters and sounds. In linguistic analysis, contractions should not be confused with crasis, abbreviations and initialisms (including acronyms), with which they share some semantic and phonetic functions, though all three are connoted by the term "abbreviation" in layman’s terms. Contraction is also distinguished from morphological clipping, where beginnings and endings are omitted. The definition overlaps with the term portmanteau (a linguistic '' blend''), but a distinction can be made between a portmanteau and a contraction by noting that contractions are formed from words that would otherwise appear together in sequence, such as ''do'' and ''not'', whereas a portmanteau word is formed by combining two or more existing words that all relate to a singular concept that the portmanteau describes. English English has a number of cont ...
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