Fundamental properties of rhythm sequences
Copyright policy )10.1002/asi.20844 , 10.1002/asi.20846 , 10.1002/asi.20830 , 10.1002/asi.20847 , 10.1002/asi.20858 , 10.1002/asi.20837 , 10.1002/asi.20812 , 10.1002/asi.20856 , 10.1002/asi.20829 , 10.1002/asi.20863 , 10.1002/asi.20825 , 10.1002/asi.20857 , 10.1002/asi.20810 , 10.1002/asi.20862 , 10.48550/arxiv.0802.1820 , 10.48550/arxiv.0911.1451 , 10.1002/asi.v59:9 , 10.5555/1388316.1388320 , 10.5555/1388316.1388329 , 10.5555/1388316.1388332
10.1002/asi.20844 , 10.1002/asi.20846 , 10.1002/asi.20830 , 10.1002/asi.20847 , 10.1002/asi.20858 , 10.1002/asi.20837 , 10.1002/asi.20812 , 10.1002/asi.20856 , 10.1002/asi.20829 , 10.1002/asi.20863 , 10.1002/asi.20825 , 10.1002/asi.20857 , 10.1002/asi.20810 , 10.1002/asi.20862 , 10.48550/arxiv.0802.1820 , 10.48550/arxiv.0911.1451 , 10.1002/asi.v59:9 , 10.5555/1388316.1388320 , 10.5555/1388316.1388329 , 10.5555/1388316.1388332
Fundamental properties of rhythm sequences
AbstractFundamental 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.
- University of California, Berkeley United States
- Bar-Ilan University Israel
- Loughborough University United Kingdom
- University of North Carolina at Chapel Hill United States
- Shanghai Institute for Science of Science China (People's Republic of)
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FOS: Computer and information sciences, Browsing, Performance Evaluation, Physics - Physics and Society, 070, FOS: Physical sciences, Physics and Society (physics.soc-ph), Academic and Research Library, Information User Interactions, 280103 Information Storage, ESSB SOC, Collection Development, Digital Libraries (cs.DL), 289999 Other Information, 020, 280101 Information Systems Organisation, Computer Science - Computation and Language, Information Search and Retrieval, Computing and Communication Sciences, Computer Science - Digital Libraries, Basic Level Theory, 400201 Librarianship, Human Categorization, Retrieval and Management, Users' Cognitive Space, Online Survey, Citation Analysis, Information Space, Computation and Language (cs.CL)
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