133,802 research outputs found
Dr. Perrin Longs Editorial -- 1959 -- Correspondence, OPV Miscellaneous -- letter, 1959-10-13
No full textLetter from Sabin, Albert B. to Long, Perrin H. dated 1959-10-13.Sabin Collection Fair Use Policy</a
Perrin Numbers That Are Concatenations of a Perrin Number and a Padovan Number in Base b
No full textLet (Formula presented.) be a Padovan sequence and (Formula presented.) be a Perrin sequence. Let n, m, b, and k be non-negative integers, where (Formula presented.). In this paper, we are devoted to delving into the equations (Formula presented.) and (Formula presented.), where d is the number of digits of (Formula presented.) or (Formula presented.) in base b. We show that the sets of solutions are (Formula presented.) (Formula presented.) for the first equation and (Formula presented.) for the second equation. Our approach employs advanced techniques in Diophantine analysis, including linear forms in logarithms, continued fractions, and the properties of Padovan and Perrin sequences in base b. We investigate both the deep structural symmetries and the complex structures that connect recurrence relations and logarithmic forms within Diophantine equations involving special number sequences. © 2025 by the author
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Dispelling the Myths Behind First-author Citation Counts
No full textWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
General -- 1941 -- Correspondence, Polio -- letter, 1941-06-20
No full textLetter from Wilson, Perrin T. to Sabin, Albert B. dated 1941-06-20.Sabin Collection Fair Use Policy</a
P. B. Shelley, Prometheus Unbound - Bibliographie sélective et critique
No full textPerrin Jean. P. B. Shelley, Prometheus Unbound - Bibliographie sélective et critique. In: XVII-XVIII. Bulletin de la société d'études anglo-américaines des XVIIe et XVIIIe siècles. N°31, 1990. pp. 31-39
Perrin numbers expressible as sums of two base b repdigits
No full textIn this paper we study Perrin numbers that can be expressed as sums of two base b repdigits. This can be done using linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction method
Perrin Numbers That Are Concatenations of a Perrin Number and a Padovan Number in Base b
No full textLet (Pk)k≥0 be a Padovan sequence and (Rk)k≥0 be a Perrin sequence. Let n, m, b, and k be non-negative integers, where 2≤b≤10. In this paper, we are devoted to delving into the equations Rn=bdPm+Rk and Rn=bdRm+Pk, where d is the number of digits of Rk or Pk in base b. We show that the sets of solutions are Rn∈{R5,R6,R7,R8,R9,R10,R11,R12,R13,R14,R15,R16,R17,R19,R23,R25,R27} for the first equation and Rn∈{R0,R2,R3,R4,R5,R6,R7,R8,R9,R10,R11,R12,R13,R14,R15,R16,R17,R18,R20,R21} for the second equation. Our approach employs advanced techniques in Diophantine analysis, including linear forms in logarithms, continued fractions, and the properties of Padovan and Perrin sequences in base b. We investigate both the deep structural symmetries and the complex structures that connect recurrence relations and logarithmic forms within Diophantine equations involving special number sequences
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