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A Novel Computer-Aided Diagnostic System for Early Detection of Diabetic Retinopathy Using 3D-OCT Higher-Order Spatial Appearance Model [PDF]
Early diagnosis of diabetic retinopathy (DR) is of critical importance to suppress severe damage to the retina and/or vision loss. In this study, an optical coherence tomography (OCT)-based computer-aided diagnosis (CAD) method is proposed to detect DR ...
Mohamed Elsharkawy +8 more
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On the Parity of the Order of Appearance in the Fibonacci Sequence
Let (Fn)n≥0 be the Fibonacci sequence. The order of appearance function (in the Fibonacci sequence) z:Z≥1→Z≥1 is defined as z(n):=min{k≥1:Fk≡0(modn)}.
Pavel Trojovský
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On the Local Minima of the Order of Appearance Function [PDF]
The order of appearance z(n) of the positive integer n is the smallest positive integer k such that n divides Fk, the kth member of the Fibonacci sequence. In this paper, we improve upon some results from (Marques, 2011) concerning local minima of z(n).
Florian Luca, Thato Mosima
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On Two Problems Related to Divisibility Properties of z(n)
The order of appearance (in the Fibonacci sequence) function z:Z≥1→Z≥1 is an arithmetic function defined for a positive integer n as z(n)=min{k≥1:Fk≡0(modn)}. A topic of great interest is to study the Diophantine properties of this function. In 1992, Sun
Pavel Trojovský
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The Proof of a Conjecture Related to Divisibility Properties of z(n)
The order of appearance of n (in the Fibonacci sequence) z(n) is defined as the smallest positive integer k for which n divides the k—the Fibonacci number Fk. Very recently, Trojovský proved that z(n) is an even number for almost all positive integers n (
Eva Trojovská, Kandasamy Venkatachalam
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On Some Properties of the Limit Points of (z(n)/n)n
Let (Fn)n≥0 be the sequence of Fibonacci numbers. The order of appearance of an integer n≥1 is defined as z(n):=min{k≥1:n∣Fk}. Let Z′ be the set of all limit points of {z(n)/n:n≥1}.
Eva Trojovská, Kandasamy Venkatachalam
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The Proof of a Conjecture on the Density of Sets Related to Divisibility Properties of z(n)
Let (Fn)n be the sequence of Fibonacci numbers. The order of appearance (in the Fibonacci sequence) of a positive integer n is defined as z(n)=min{k≥1:n∣Fk}.
Eva Trojovská, Venkatachalam Kandasamy
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On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function
Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest positive integer k such that Fk≡0(modn).
Štěpán Hubálovský, Eva Trojovská
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Respect and the reality of apparent reasons [PDF]
Rationality requires us to respond to apparent normative reasons. Given the independence of appearance and reality, why think that apparent normative reasons necessarily provide real normative reasons?
Sylvan, Kurt L.
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[Objective] The coupling relationships and change mechanisms between rural land consolidation projects and rural beautification construction were studied in order to provide a theoretical basis for implementing plans for land consolidation projects in ...
Wu Defeng
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