104,221 research outputs found
Joshua Davis: Author of Spare Parts
No full textCitation: K-State First (2016). Joshua Davis: Author of Spare Parts [Flier]. Manhattan, Kansas: K-State First.Flyer advertising Joshua Davis's author talk at Kansas State University
A sequência dos quatérnios k-Perrin hiperbólica
No full textEste trabalho introduz a sequência dos quatérnios k-Perrin hiperbólica, realizando o processo de complexificação das sequências lineares e recorrentes, mais especificamente da sequência de Perrin generalizada. Nesse sentido, tem-se o estudo de algumas propriedades em torno dessa sequência, aprofundando o estudo investigativo matemático desses números
K- Generalized Order-k Perrin Number Presentation by Matrix Method
No full textIn this paper, we give matrix representations of the fc-generalized order-k Perrin Numbers and we obtain relationships between these sequences and matrix. In addition, we calculate the determinant of this matrix
Steven Johnson Author Talk Poster
No full textK-State Book NetworkA poster advertising an author talk by Steven Johnson at Kansas State University on September 3, 2014. Steven Johnson's book "The Ghost Map" was the 2014-2015 common book
Alfalfa in eastern Kansas
No full textCitation: Symns, Perrin K. Alfalfa in eastern Kansas. Senior thesis, Kansas State Agricultural College, 1901.Introduction: In the extreme eastern part of the state, alfalfa, the most valuable of our leguminous forage plants, is comparatively unknown to the farmers and stock-raisers. Its acreage in the eastern third of the state in 1900 did not exceed fifty thousand acres. This is a condition that should not exist for the alfalfa rightly used in connection with our great yields of corn is the money coiner of the stock man
The sequences of the hyperbolic k-Perrin and k-Leonardo quaternions
No full textIn this article, hyperbolic k-Perrin and k-Leonardo quaternions are defined. In this sense, bulletin, are evaluated as sequences of k-Perrin and k-Leornado, their respective quaternions and thus the definition of hyperbolic quaternions. Thus, there are some algebraic properties around numbers, generating function, Binet's formula and properties inherent to these numbers.Part of the development of research in Brazil had the financial support of the National Council for Scientific and Technological Development
(CNPq), Coordination for the Improvement of Higher Education Personnel (CAPES) and and the Cear´a Foundation for Support to Scientific
and Technological Development (Funcap). The research development part in Portugal is financed by National Funds through the Foundation for Science and Technology. I. P (FCT), under the project UID/CED/00194/2020.publishe
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
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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