Fibonacci sequence
RIGHT k FIBONACCI SEQUENCE AND RELATED IDENTITIES
... Fibonacci sequence {F } n is defined by the recurrence relation F n F n 1 F n 2 , n 2 with initial condition F 0 0, F 1 1 ....This sequence has been generalized in many ways, some by ...
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Fibonacci sequence for modelling stop bands in random microstructure
... contrast Fibonacci sequence with randomness added in one direction, or a low contrast Fibonacci sequence with randomness in both directions give very similar effects, thus providing two ...
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An Investigation of the Application of the Golden Ratio and Fibonacci Sequence Associated with the Chart of Nuclides
... successive Fibonacci numbers although this only varies after Fibonacci number 8 ...The Fibonacci sequence is a series of numbers that are the sum of the previous 2 numbers: ...
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On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence
... not Fibonacci numbers, for example, n 11, 17, 24, 26, 29, 36, 38, 41, 44, 48, ...the Fibonacci sequence and such that zn − 1 > zn < zn ...
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Filter Banks from the Fibonacci Sequence
... In this note, we adopt the Hadamard product of the Fibonacci sequence and a geometric sequence to construct a type of Fibonacci-based bi-orthogonal filter banks. These filters are essentially ...
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On the 2k step Jordan Fibonacci sequence
... Jordan-Fibonacci sequence when read modulo m, and we give the relationships among the orders of the cyclic groups obtained and the periods of the 2k-step Jordan-Fibonacci sequence modulo ...
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Weakly unconditionally Cauchy series and Fibonacci sequence spaces
... We study new sequence spaces associated to sequences in normed spaces and the band matrix F defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly ...
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To Study the Trend and Behaviour Analysis of Indian Equity Market Using Elliott Wave Principle and Fibonacci sequence
... ABSTRACT: The Indian capital Market has witnessed a tremendous growth. An important recent development has been the Entry of Foreign Institutional investors are participants to the primary and secondary markets for the ...
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The reciprocal sums of even and odd terms in the Fibonacci sequence
... In this paper, we give the exact integral values of the reciprocal sums (resp., square sums) of the even and odd terms in the Fibonacci sequence. The results are new and important for those with closely ...
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Relationships between Some k Fibonacci Sequences
... the sequence, the sum of first “ n ” terms, ...-Fibonacci sequence so that we will can express the terms of a k -Fibonacci sequence according to some terms of an initial k ...
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3. FAREY-PELL SEQUENCE, APPROXIMATION TO IRRATIONALS AND HURWITZ'S INEQUALITY
... Farey sequence of Fibonacci ...Farey Fibonacci sequence and gave the sufficient conditions for the sequence G k = AG k−1 +BG k−2 so that the properties of points ...
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On Branched Chain Processes, the Laws of Development of Which Are Expressed by Numerical Sequences Like Fibonacci Numbers, a New Look at Their Nature
... that Fibonacci (FB) solved, there was one about many pairs of rabbits might be born from a single pair at certain conditions and he (FB) gave a solution to this problem in the form of a numerical sequence: ...
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Fibonacci Numbers and Golden Ratio- Teaching through the History of Mathematics
... The Fibonacci sequence is named after Italian mathematician Leonardo Bonacci, commonly known as Fibonacci from Republic of ...Pisa. Fibonacci numbers are widely used in computer algorithms ...
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What does a modified-Fibonacci dose-escalation actually correspond to?
... Modified Fibonacci series remains largely used ...modified Fibonacci sequence, the most popular dose- escalation guidance scheme in dose-seeking phase I trials is a term which is too vague and should ...
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FIBONACCI-MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN MODULAR SPACES
... for t n ∈ [0, 1] and n ∈ N . His main motivation resides in the fact that the iterates of T are becoming almost nonexpansive. In the investigation of monotone mappings, the iteration sequence (SMI) fails to ...
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Jacobsthal-Lucas series and their applications
... If p = 1, s = 2, then generalized Fibonacci sequence is called Jacobsthal sequence. Thus, Jacobsthal sequences form a two-dimensional vector space containing geometric progression with common ratios ...
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Fibonacci statistical convergence and Korovkin type approximation theorems
... of Fibonacci sequence and statistical conver- gence, we obtain a new concept of statistical convergence, which will be called Fibonacci type statistical ...of Fibonacci type statistical ...
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A Comparative Study on the Modern Jewelry Design Using Mathematical Principles Focused on the Digital System
... Fibonacci sequence that pursues to maximize the propagation in the nature and golden spiral that creates a beautiful figure are all examples that show the secret of mathematically designed living ...
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FIBONACCI SERIES IN MATHEMATICS
... The Fibonacci sequence is defined by the property that each number in the sequence is the sum of the previous two numbers; to get started, the first two numbers must be specified, and these are ...
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Integral points on the elliptic curve y2=x3+27x−62
... MSC: 11B25; 11B37 Keywords: elliptic curves; integral point; generalized Fibonacci and Lucas sequences.. The generalized Fibonacci sequence Un P, Q and the Lucas sequence Vn P, Q are defi[r] ...
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