Results 51 to 60 of about 1,632,723 (171)
Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences
Mathematics, 2023 In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k-generalized Fibonacci sequence which are almost repdigits. In particular, we find all k-
Alaa Altassan, Murat Alan
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Revisiting Fisher's n‐D statistical vision: From algebraic abstraction to modern visualization
Canadian Journal of Statistics, Volume 54, Issue 3, September 2026.Abstract We revisit early foundational results in mathematical statistics derived by Ronald A. Fisher. They involve sampling distributions of statistics calculated from independent and identically distributed Normal observations, namely the root mean square deviation; the mean absolute deviation, conditional on already knowing the value of the root ...
James A. Hanley
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Diophantine equations with Lucas and Fibonacci number coefficients [PDF]
Notes on Number Theory and Discrete MathematicsFibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam +3 more
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Noûs, Volume 60, Issue 3, Page 593-605, September 2026.ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
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On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
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On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
Mathematische Nachrichten, Volume 299, Issue 8, Page 2087-2102, August 2026.ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
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Sums of certain products of fibonacci & Lucas numbers-part III [PDF]
, 2017 For the Fibonacci numbers, the summation formula σnk=1 Fk2=FnFn+1is well-known. Its charm lies in the fact that the right side is a product of terms from the Fibonacci sequence.
Melham, RS
core
Elliptic curve and k-Fibonacci-like sequence
, 2023 In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence.
Zakariae Cheddour +2 more
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Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.Harmony and rhythm perception are often studied separately, yet both reveal a shared sensitivity to low‐order integer ratios. In harmony, intervals like the octave (2:1) and fifth (3:2) predict consonance and ease of encoding. In rhythm, patterns with simple ratios (e.g., 2:1, 3:2) are easier to perceive, reproduce, and remember.
Nicola Di Stefano +2 more
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What does a modified-Fibonacci dose-escalation actually correspond to?
BMC Medical Research Methodology, 2012 Background In most phase I oncology trials, it is often stated that the dose increments follow a “modified-Fibonacci sequence”. This term, however, is vague.
Penel Nicolas, Kramar Andrew
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