Differentiability

Guerino Mazzola; Maria Mannone; Yan Pang

doi:10.1007/978-3-319-42937-3_31

Differentiability

Guerino Mazzola, Maria Mannone, Yan Pang

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Differentiability is stronger than continuity in that for a differentiable curve, we need to have a slope line at every point, i.e., the curve must not have corners. This chapter deals with this concept and its application to music.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	263-265
Number of pages	3
DOIs	https://doi.org/10.1007/978-3-319-42937-3_31
State	Published - 2016

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.

Keywords

Chain Rule
Physical Time
Similar Formalism
Slope Line
Time Function

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10.1007/978-3-319-42937-3_31

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title = "Differentiability",

abstract = "Differentiability is stronger than continuity in that for a differentiable curve, we need to have a slope line at every point, i.e., the curve must not have corners. This chapter deals with this concept and its application to music.",

keywords = "Chain Rule, Physical Time, Similar Formalism, Slope Line, Time Function",

author = "Guerino Mazzola and Maria Mannone and Yan Pang",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing Switzerland.",

year = "2016",

doi = "10.1007/978-3-319-42937-3_31",

language = "English (US)",

series = "Computational Music Science",

publisher = "Springer Nature",

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TY - CHAP

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AU - Mazzola, Guerino

AU - Mannone, Maria

AU - Pang, Yan

PY - 2016

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KW - Physical Time

KW - Similar Formalism

KW - Slope Line

KW - Time Function

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DO - 10.1007/978-3-319-42937-3_31

M3 - Chapter

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T3 - Computational Music Science

SP - 263

EP - 265

BT - Computational Music Science

PB - Springer Nature

ER -

Differentiability

Abstract

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Bibliographical note

Keywords

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