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The relation between local and global truncation errors is slightly different from in the simpler setting of one-step methods. For linear multistep methods, an additional concept called zero-stability is needed to explain the relation between local and global truncation errors.
Removing two notes for every one kept creates a new truncated mode of limited transposition. C F ♯ Keeping two notes for every one removed creates another truncated mode of limited transposition. C E F ♯ A ♯ Only Messiaen's mode 7 and mode 3 are not truncated modes: the other modes may be constructed from them or from one or more of their ...
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In statistics, truncation results in values that are limited above or below, resulting in a truncated sample. [1] A random variable y {\displaystyle y} is said to be truncated from below if, for some threshold value c {\displaystyle c} , the exact value of y {\displaystyle y} is known for all cases y > c {\displaystyle y>c} , but unknown for ...
The Wealth of Networks: How Social Production Transforms Markets and Freedom is a book by Harvard Law School professor Yochai Benkler published by Yale University Press on April 3, 2006. [1] The book has been recognized as one of the most influential works of its time concerning the rise and impact of the Internet on the society, particularly ...
Gordon music-learning theory is a model for music education based on Edwin Gordon's research on musical aptitude and achievement in the greater field of music learning theory. [ 1 ] [ 2 ] The theory is an explanation of music learning, based on audiation (see below) and students' individual musical differences.
In the creation of computer music and electronic music in the past decade, particularly in glitch music, software is used to create sonic artifacts of all stripes. They are also the primary focus of the practice of circuit bending : making sounds from products that were unintended by the makers of the circuitry.
It is used in tonal and atonal music, and is a common method of localized development and closure. Fragmentation is related to Arnold Schoenberg 's concept of liquidation , [ 1 ] a common compositional technique that describes the reduction of a large-scale musical idea to its essential form (such as a contour line, a specific harmonic motion ...