Rationals

Guerino Mazzola; Maria Mannone; Yan Pang

doi:10.1007/978-3-319-42937-3_11

Rationals

Guerino Mazzola
, Maria Mannone
, Yan Pang

Music (Twin Cities)

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

Abstract

In Latin, ratio means rapport, division of two things. Here we introduce rational numbers as fractions of two integer numbers a and b. This procedure allows us to solve equations of type a・x = b with a≠ 0. Our strategy again follows the philosophy that the problem is the solution.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	93-98
Number of pages	6
DOIs	https://doi.org/10.1007/978-3-319-42937-3_11
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

Inverse Element
Neutral Element
Rational Number
Symbolic Time
Time Signature

Publisher link

10.1007/978-3-319-42937-3_11

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title = "Rationals",

abstract = "In Latin, ratio means rapport, division of two things. Here we introduce rational numbers as fractions of two integer numbers a and b. This procedure allows us to solve equations of type a・x = b with a≠ 0. Our strategy again follows the philosophy that the problem is the solution.",

keywords = "Inverse Element, Neutral Element, Rational Number, Symbolic Time, Time Signature",

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TY - CHAP

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AU - Mazzola, Guerino

AU - Mannone, Maria

AU - Pang, Yan

PY - 2016

Y1 - 2016

N2 - In Latin, ratio means rapport, division of two things. Here we introduce rational numbers as fractions of two integer numbers a and b. This procedure allows us to solve equations of type a・x = b with a≠ 0. Our strategy again follows the philosophy that the problem is the solution.

AB - In Latin, ratio means rapport, division of two things. Here we introduce rational numbers as fractions of two integer numbers a and b. This procedure allows us to solve equations of type a・x = b with a≠ 0. Our strategy again follows the philosophy that the problem is the solution.

KW - Inverse Element

KW - Neutral Element

KW - Rational Number

KW - Symbolic Time

KW - Time Signature

UR - https://www.scopus.com/pages/publications/85136721316

UR - https://www.scopus.com/pages/publications/85136721316#tab=citedBy

U2 - 10.1007/978-3-319-42937-3_11

DO - 10.1007/978-3-319-42937-3_11

M3 - Chapter

AN - SCOPUS:85136721316

T3 - Computational Music Science

SP - 93

EP - 98

BT - Computational Music Science

PB - Springer Nature

ER -

Rationals

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