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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]

open access: yesDiagnostics, 2022
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
doaj   +2 more sources

On the Parity of the Order of Appearance in the Fibonacci Sequence

open access: yesMathematics, 2021
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
doaj   +3 more sources

On the Local Minima of the Order of Appearance Function [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2015
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
doaj   +3 more sources

On Two Problems Related to Divisibility Properties of z(n)

open access: yesMathematics, 2021
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
doaj   +1 more source

The Proof of a Conjecture Related to Divisibility Properties of z(n)

open access: yesMathematics, 2021
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
doaj   +1 more source

On Some Properties of the Limit Points of (z(n)/n)n

open access: yesMathematics, 2021
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
doaj   +1 more source

The Proof of a Conjecture on the Density of Sets Related to Divisibility Properties of z(n)

open access: yesMathematics, 2021
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
doaj   +1 more source

On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function

open access: yesMathematics, 2020
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
doaj   +1 more source

Respect and the reality of apparent reasons [PDF]

open access: yes, 2021
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.
core   +1 more source

Coupling Relationships Between Rural Land Consolidation Projects and Rural Beautification Construction at Jingbian County of Shaanxi Province

open access: yesShuitu baochi tongbao, 2022
[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
doaj   +1 more source

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