Title
Fundamental properties of rhythm sequences Fundamental properties of rhythm sequences
Author
Faculty/Department
Faculty of Social Sciences. Instructional and Educational Sciences
Publication type
article
Publication
Washington, D.C. ,
Subject
Documentation and information
Source (journal)
Journal of the American Society for Information Science. - Washington, D.C., 1970 - 2000
Volume/pages
59(2008) :9 , p. 1469-1478
ISSN
0002-8231
ISI
000257168200009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
Fundamental mathematical properties of rhythm sequences are studied. In particular, a set of three axioms for valid rhythm indicators is proposed, and it is shown that the R-indicator satisfies only two out of three but that the R′-indicator satisfies all three. This fills a critical, logical gap in the study of these indicator sequences. Matrices leading to a constant R′-sequence are called baseline matrices. They are characterized as matrices with constant w-year diachronous impact factors. The relation with classical impact factors is clarified. Using regression analysis matrices with a rhythm sequence that is on average equal to 1 (smaller than 1, larger than 1) are characterized.
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