TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collections

Permanent URI for this collectionhttps://hdl.handle.net/20.500.13091/4

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The 2-Adic Valuation of Shifted Padovan and Perrin Numbers and Applications
(Tubitak Scientific & Technological Research Council Turkey, 2024) Bravo, Eric; Irmak, Nurettin
We characterize the 2-adic valuation of (Pn - 1) n >= 0 , where ( P n ) n >= 0 denotes the Padovan sequence. In addition, we use this formula to find all the Cullen and Proth numbers that are Padovan numbers. We also fully describe the 2-adic order of (Rn + 1) n >= 0 , where ( R n ) n >= 0 denotes the Perrin sequence, and use it to find all Woodall and Proth numbers of the second kind which are Perrin numbers. As a consequence we find that 3 , 5 , 9 , and 65 are the only Fermat numbers in the Padovan sequence; while 3 and 7 and 2 and 5 are the only numbers of Mersenne and Th & acirc;bit ibn Kurrah in the Perrin sequence respectively.
Citation - WoS: 4
Citation - Scopus: 3
Determining Highway Slope Ratio Using a Method Based on Slope Angle Calculation
(2021) Yılmaz, Osman Salih; Özkan, Gülgün; Kılıç, Batuhan
Geographic Information System (GIS) is a vital tool used in numerous areas related to natural science and engineering studies. Managing complex data and obtaining accurate results from the analysis are essential functions of GIS. It is also efficiently used in highway designing both in project and application phases. This study proposes a new calculation method of slope angles to determine the suitable slope modal of a road by using topographic and geological datasets in a GIS environment. Using this method in the preparation phase of the project enables a more accurate calculation of earthwork volume. The proposed method was applied to a highway to prove this idea. The selected road is a significant tertiary of which project was completed by the Turkish General Directorate of Highways. In this study, the calculated values of the project were considered as references. Comparing both results obtained from the proposed method and application project, the accuracy of the slope modal of the proposed method is 71%, and the accuracy of its earthwork volume is 99%. The proposed approach will enable project managers and designers to determine more reliable earthwork volume during project feasibility studies without any application in the field.
Citation - WoS: 13
Citation - Scopus: 16
Developing a Mobile Gis Application Related To the Collection of Land Data in Soil Mapping Studies
(2021) İşcan, Fatih; Güler, Erkan
Soil is the one of the most important natural resources having direct and indirect effects on human life, foremost on food supply. Moreover, two of the most important sources used in many sectors such as agriculture, forestry, environment, planning, related to the conservation of soil, are soil maps and soil reports. There is a need for proper and up-to-date soil maps produced with support of technology to achieve sustainable management of land and soil successfully. In order to facilitate the collection of soil data on site in a correct, fast and reliable way in soil survey and mapping studies, and therefore to produce soil maps with high accuracy, a mobile GIS application called “Soil Data System” was developed in this study to work in mobile devices which are driven by Android 5.0 and above. The developed application was tested in “Abadan Erosion Control Project” implementation area, which is located in the boundaries of Ankara, Turkey and was completed in 2016 within the General Directorate of Forestry of The Republic of Turkey, and various findings were obtained after comparing the application with classical soil survey and mapping studies. As a result of the analyzes, it was observed that Soil Data System contributed positively to soil mapping process in many aspects such as accuracy, transparency and time.
Citation - WoS: 5
Citation - Scopus: 4
Linear Algebra of the Lucas Matrix
(HACETTEPE UNIV, FAC SCI, 2021) Irmak, Nurettin; Köme, Cahit
In this paper, we give the factorizations of the Lucas and inverse Lucas matrices. We also investigate the Cholesky factorization of the symmetric Lucas matrix. Moreover, we obtain the upper and lower bounds for the eigenvalues of the symmetric Lucas matrix by using some majorization techniques.
Citation - WoS: 7
Citation - Scopus: 4
Multivariate Statistical Analysis Application To Determine Factors Affecting the Parcel Value To Be Used Mass Real Estate Valuation Approaches
(SELCUK UNIV PRESS, 2022) Yalpır, Şükran; Ünel, Fatma Bünyan
Real estate is a form of immovable asset that enables individuals to exert their property rights and provides a form of material guarantee through its economic value. The economic value of real estate, which is reflected in the price, is an aspect that all countries emphasize today by identifying purchase and sale values in market conditions that are removed from large project rumors and speculations. The more the real estate market value is removed from reality, the more negative its effect will be on the cost-benefit of real estate management. This study aimed to identify the main criteria that affect parcel value, which constitutes a basis for real estate, narrow them down to the optimum level using questionnaires and standardize them. A total of 559 experts working in real estate valuation and 1,915 members of the public that play a role in real estate purchases and sales were contacted in Ankara, Konya and Kayseri, all of which are located in the Central Anatolia Region of Turkey. The factor analysis method was applied to the survey data. Grouping was carried out with 10 factors and the results were interpreted.
Citation - WoS: 10
Citation - Scopus: 11
A New Color Distance Measure Formulated From the Cooperation of the Euclidean and the Vector Angular Differences for Lidar Point Cloud Segmentation
(2021) Sağlam, Ali; Baykan, Nurdan Akhan
Two important features of the points in the LiDAR point clouds are the spatial and the color features. The spatial feature is mostly used in the point cloud processing field due to its 3D informative and distinctive characteristic. The local geometric difference derived from the spatial features of the points is usually benefited by graph-based point cloud segmentation methods, because the geometric features of the local point groups are highly distinctive. In this paper, we use both the geometric and color differences of the adjacent local point groups at the impact rates 0.3, 0.5, and 0.7 and cooperate the Euclidean and the vector color differences within several averaging techniques for the color difference. The difference forms have been tested within a graph-based segmentation method on four point cloud segmentation datasets, two indoor and two outdoor, using their spatial and color information. The geometric mean as an averaging techniques increases the segmentation success for the all datasets except one outdoor when the color differences are used in the segmentation at the impact rate 0.3, while the harmonic mean increases the success for the all datasets the successes except the other outdoor at the same impact rate. According to the test results, the cooperating of the Euclidean and vector angular color difference measurements can considerable increase the segmentation success on the point clouds with color information in a high quality.
Citation - Scopus: 1
On K-Generalized Lucas Sequence With Its Triangle
(Scientific And Technological Research Council Turkey, 2023) Acikel, Abdullah; Amrouche, Said; Belbachir, Hacene; Irmak, Nurettin
In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s -Lucas triangle and bi s nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 + center dot center dot center dot + xs), with s is an element of N.
Citation - WoS: 1
Citation - Scopus: 2
On square Tribonacci Lucas numbers
(Hacettepe University, 2021) Irmak, Nurettin
The Tribonacci-Lucas sequence {Sn} is defined by the recurrence relation Sn+3 = Sn+2 + Sn+1 + Sn with S0 = 3, S1 = 1, S2 = 3. In this note, we show that 1 is the only perfect square in Tribonacci-Lucas sequence for (Formula presented) (mod 32) and (Formula presented) (mod 96). © 2021, Hacettepe University. All rights reserved.
A Practical Software Package for Estimating the Periodicities in Time Series by Least-Squares Spectral Analysis
(Selcuk Univ Press, 2024) Abbak, Ramazan Alpay
The researchers investigate some phenomena by continuously observing physical variables, i.e., time series. Nowadays, the Least-Squares Spectral Analysis (LSSA) technique has been preferred for the analysis of time series to conduct more reliable analysis. This technique uses the least-squares principle to estimate the hidden periodicities in the time series. Based on the previous investigations, LSSA gives more reasonable results in the experimental time series that have disturbing effects such as the datum shifts, linear trend, unequally spaced data and etc. The LSSA method is a unique method that can overcome these problems without preprocessing the original series. However, a practical and user-friendly software package in C programming language is not available for scientific purposes to implement the LSSA method. In this paper, we review the computational scheme of the LSSA method, then a software (LSSASOFT) package in the C programming language is developed in the view of the simplicity of the method and compatibility of all types of data. Finally, LSSASOFT is applied in two sample studies for the determining hidden periods in the synthetic data and sea level observations. Consequently, the numerical results indicate that LSSASOFT is a useful tool that can efficiently predicting hidden periodicity for the experimental time series that have disturbing effects.
Citation - WoS: 12
Citation - Scopus: 11
Reduction of Mass Appraisal Criteria With Principal Component Analysis and Integration To Gis
(2019) Ünel, Fatma Bünyan; Yalpır, Şükran
In real estate, mass appraisal is a very important subject in the valuation of two and more properties. It can be of benefit in a number of fields including taxation, banking transactions, expropriation, etc. The base problem is which criteria to use for mass appraisal. Because the number of criteria and the criteria themselves vary according to people, regions and countries, they are uncertain. They should be optimum in order to save on time, labour and cost. The aim of this study is to reduce the criteria by determining which ones affect the plot value. A survey which was answered by a total of 2,531 participants was conducted in Turkey. Principal Component Analysis (PCA), one of the criteria analysis methods, was applied to the survey data. The number of criteria was reduced to 14 with separation and to 30 according to the results of PCA. But they decreased in the model verification when criteria data for 558 samples were collected in the Konya study area. An index of the neighbourhood and locational features of these criteria was created by using GIS. Three models were established using Multiple Regression Analysis (MRA) and the performance of the models was examined. The prediction values and the market value were integrated into the GIS to compare the spatial distributions of plot values.

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