7,533 research outputs found
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
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
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
A Study on Sum Formulas for Generalized Tribonacci Numbers: Closed Forms of the Sum Formulas ∑_{k=0}ⁿkx^{k}W_{k}, ∑_{k=1}ⁿkx^{k}W_{-k}
No full textIn this paper, closed forms of the sum formulas ∑_{k=0}ⁿkx^{k}W_{k}, ∑_{k=1}ⁿkx^{k}W_{-k} for generalized Tribonacci numbers are presented. As special cases, we give summation formulas of Tribonacci, Tribonacci-Lucas, Padovan, Perrin, Narayana and some other third order linear recurrance sequences
L’action ou la contemplation. Note sur la relation de la fille de Thrace au Docteur angélique
No full textIf the opposition between “action and contemplation” seems characteristic of the history of philosophy, it also sums up Hannah Arendt’s personal history and philosophy – the diagnosis of the theoretician of the political practice on her contemporaries being eloquent. But the author of the Human condition invites us to reverse the conjunction. Arendt breaks up deliberately with philosophical tradition and particularly with Thomas Aquinas by making these terms exclusive and choosing to think either action (without contemplation) or contemplation (without action). We would like thus to reflect on the relationship between these two thinkers by examining potential echoes of Summa Theologiae within Arendt’s 1958 essay
Overdose : Heartbreak and hope in Canada's opioid crisis
No full textProfessor Perrin’s research covers issues related to victims of crime, and the opioid crisis. He is an advocate for compassionate, evidence-based approaches to pressing criminal justice and societal issues. Professor Perrin is the author of numerous law review articles and provides commentary in the media. His books include Overdose: Heartbreak and Hope in Canada’s Opioid Crisis (2020), Victim Law: The Law of Victims of Crime in Canada (2017) and Invisible Chains: Canada’s Underground World of Human Trafficking (2011). Professor Perrin joined UBC after serving as a law clerk at the Supreme Court of Canada and advising judges at the International Criminal Tribunal for the former Yugoslavia and Special Court for the Sierra Leone. He was lead criminal justice advisor and in-house legal counsel to the Prime Minister of Canada.Law, Peter A. Allard School ofUnreviewedFacult
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