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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.
The psychology of music, or music psychology, is a branch of psychology, cognitive science, neuroscience, and/or musicology. It aims to explain and understand musical behaviour and experience , including the processes through which music is perceived, created, responded to, and incorporated into everyday life.
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Cognitive musicology can be differentiated from other branches of music psychology via its methodological emphasis, using computer modeling to study music-related knowledge representation with roots in artificial intelligence and cognitive science. The use of computer models provides an exacting, interactive medium in which to formulate and ...
Music psychology uses the tools of musicology and psychology to explain and understand musical behavior and experience, including the processes by which music is perceived, created, responded to, and incorporated into everyday life.
Her interdisciplinary research touches music psychology, music theory and cognitive neuroscience of music. Krumhansl's precise mathematical modeling of tonal and rhythmic musical dimensions has been extended in current models of music perception, memory and performance, most notably by her former students Jamshed Bharucha , Michael Hove ...
The name of the method comes from the fact that in the formula above, the function giving the slope of the solution is evaluated at = + / = + +, the midpoint between at which the value of () is known and + at which the value of () needs to be found.
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. The theory takes into account the ...