Ads
related to: free printable contraction worksheets
Search results
Results From The WOW.Com Content Network
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.
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.
In mathematics, the Banach fixed-point theorem (also known as the contraction mapping theorem or contractive mapping theorem or Banach–Caccioppoli theorem) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces and provides a constructive method to find those fixed points.
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; Left contraction and right contraction of multivectors in a geometric algebra, extensions of the inner product
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 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 ...
It is able to be measured using electromyography (EMG) from the contractions that occur. The general mechanism of it is still widely unknown. It is believed to be important in joint stabilization, as well as general motor control. [1] Coactivation of biceps and triceps. The biceps’ EMG is on top, while the triceps’ EMG is on the bottom.
An isometric exercise is an exercise involving the static contraction of a muscle without any visible movement in the angle of the joint. The term "isometric" combines the Greek words isos (equal) and -metria (measuring), meaning that in these exercises the length of the muscle and the angle of the joint do not change, though contraction ...