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Ese libro es del profesor = "That book is the teacher's." Prepositional contraction: When de is followed by the masculine singular definite article el (“the”), together they form the contraction del (“of the”). However, de does not contract with the homophonous personal pronoun él ("him"), nor, in writing, with a proper noun; thus:
Some acronyms are formed by contraction; these are covered at Wikipedia:Manual of Style/Abbreviations. Some trademarks (e.g. Nabisco) and titles of published works (e.g. “Ain't That a Shame”) consist of or contain contractions; these are covered at Wikipedia:Manual of Style/Trademarks and Wikipedia:Manual of Style/Titles, respectively.
Del can also be applied to a vector field with the result being a tensor. The tensor derivative of a vector field v {\displaystyle \mathbf {v} } (in three dimensions) is a 9-term second-rank tensor – that is, a 3×3 matrix – but can be denoted simply as ∇ ⊗ v {\displaystyle \nabla \otimes \mathbf {v} } , where ⊗ {\displaystyle \otimes ...
This notion is a special case of the concept of a contraction mapping, but every bounded operator becomes a contraction after suitable scaling. The analysis of contractions provides insight into the structure of operators, or a family of operators. The theory of contractions on Hilbert space is largely due to Béla Szőkefalvi-Nagy and Ciprian ...
A contraction mapping has at most one fixed point. Moreover, the Banach fixed-point theorem states that every contraction mapping on a non-empty complete metric space has a unique fixed point, and that for any x in M the iterated function sequence x , f ( x ), f ( f ( x )), f ( f ( f ( x ))), ... converges to the fixed point.
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 ...
This produces a greater force than singular contractions by decreasing the interval between stimulations to produce a larger force with the same number of motor units. Using electromyography (EMG), the neural strategies of muscle activation can be measured. [ 6 ]
Poetic contractions are contractions of words found in poetry but not commonly used in everyday modern English. Also known as elision or syncope , these contractions are usually used to lower the number of syllables in a particular word in order to adhere to the meter of a composition. [ 1 ]