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Relationships between cusp points in the extended modular group and Fibonacci numbers
¨Ozden Koruo˘glu,Sule Kaymak Sarica,Bilal Demir,A. Furkan Kaymak 호남수학회 2019 호남수학학술지 Vol.41 No.3
Cusp (parabolic) points in the extended modular group $\overline{\Gamma}$ are basically the images of infinity under the group elements. This implies that the cusp points of $\overline{\Gamma}$ are just rational numbers and the set of cusp points is $Q_{\infty}=Q\cup\left\{ \infty\right\} .$The Farey graph $F$ is the graph whose set of vertices is $Q_{\infty}$ and whose edges join each pair of Farey neighbours. Each rational number $x$ has an integer continued fraction expansion (ICF) $x=[b_{1},...,b_{n}].$ We get a path from $\infty$ to $x$ in $F$ as \TEXTsymbol{<}$\infty,C_{1},...,C_{n}>$ for each ICF. In this study, we investigate relationships between Fibonacci numbers, Farey graph, extended modular group and ICF. Also, we give a computer program that computes the geodesics, block forms and matrix represantations.
Permuting Tri-Derivations in Prime and Semi-Prime Gamma Rings
Ozden, Duran,Ozturk, Mehmet Ali,Jun, Young Bae Department of Mathematics 2006 Kyungpook mathematical journal Vol.46 No.2
We study permuting tri-derivations in ${\Gamma}$-rings and give an example.
Factors Affecting Long-Term Care Preferences in Turkey
Ozden Guduk,Hasan Giray Ankara 대한노인병학회 2022 Annals of geriatric medicine and research Vol.26 No.4
Background: This study aimed to identify the long-term care preferences and the factors affecting theses preferences in Turkish society, where long-term care may soon become an important issue. Methods: We applied data from the Family Structure Survey of Turkey conducted in 2016. Using data from 35,475 individuals, we performed descriptive analysis and logistic regressions to determine the preferences and determinants of individuals based on the Andersen Behavior Model. Results: Informal care was the main preference of individuals living in Turkey (37%). Men, individuals living in an extended family, and the young mostly favored informal care, while women, well-educated individuals, and urban individuals preferred institutional or formal care at home. Conclusion: Efforts should be made to raise individuals’ awareness regarding existing long-term care services. These services should be strengthened in line with society's preferences, considering regional differences.
Expression of Enzymatically-active Phospholipase Cγ2 in E.coli
Ozdener, Fatih,Kunapuli, Satya P.,Daniel, James L. Korean Society for Biochemistry and Molecular Biol 2002 Journal of biochemistry and molecular biology Vol.35 No.5
Phospholipase C-gamma-2 ($PLC{\gamma}2$) activation is a key signaling event for many cell functions. In order to delineate the pathways that lead to $PLC{\gamma}2$ activation, we devised a quick method for obtaining sufficient $PLC{\gamma}2$. We obtained the full-length cDNA for human $PLC{\gamma}2$ and expressed it in E. coli using the expression vector pT5T. To enhance the protein expression, tandem AGG-AGG arginine codons at the amino acid positions 1204-1205 were replaced by CGG-CGG arginine codons. The protein expression was detected in a Western blot analysis by both anti-$PLC{\gamma}2$ antibodies and the antibodies that are raised against the tripeptide epitope (Glu-Glu-Phe) tag that are genetically-engineered to its carboxyl terminal. Crude lysates that were prepared from bacteria that express $PLC{\gamma}2$ were found to catalyze the hydrolysis of phosphatidylinositol 4,5 bisphosphate. Similar to previous reports on $PLC{\gamma}2$ that is isolated from mammalian tissue, the recombinant enzyme was $Ca^{2+}$ dependent with optimal activity at 1-10 uM $Ca^{2+}$.
¨Ozden Koruo˘glu,Furkan Birol,Recep Sahin,Bilal Demir 호남수학회 2019 호남수학학술지 Vol.41 No.1
We consider the extended generalized Hecke groups $\overline{H}_{3,q}$ generated by $X(z)=-(z-1)^{-1}$, $Y(z)=-(z+\lambda _{q})^{-1}$ with $\lambda _{q}=2\cos (\frac{\pi }{q})$ where $q\geq 3$ an integer.\ In this work, we study the generalized Pell sequences in $\overline{H}_{3,q}.$ Also, we show that the entries of the matrix representation of each element in the extended generalized Hecke Group $\overline{H}_{3,3}$ can be written by using Pell, Pell-Lucas and modified-Pell numbers.
Assessment of a concrete arch bridge using static and dynamic load tests
B. Ozden Caglayan,Kadir Ozakgul,Ovunc Tezer 국제구조공학회 2012 Structural Engineering and Mechanics, An Int'l Jou Vol.41 No.1
Assessment of a monumental concrete arch bridge with a total length of 210 meters having three major spans of 30 meters and a height of 65 meters, which is located in an earthquake-prone region in southern part of the country is presented in this study. Three-dimensional finite element model of the bridge was generated using a commercially available general finite element analysis software and based on the outcomes of a series of in-depth acceleration measurements that were conducted on-site, the model was refined. By using the structural parameters obtained from the dynamic and the static tests, calibrated model of the bridge structure was obtained and this model was used for necessary calculations regarding structural assessment and evaluation.
Remarks on q-Bernoulli numbers associated with Daehee numbers
H. Ozden,I. N. Cangul,Y. Simsek 장전수학회 2009 Advanced Studies in Contemporary Mathematics Vol.18 No.1
In this work, we study on Carlitz's type q-Bernoulli numbers, q-Frobenius-Euler numbers and Daehee numbers and polynomials. We also give p-adic integral representation of the twisted Daehee polynomials. By using this representation, we ¯nd Raabe-type multiplication formula for the twisted Daehee polynomials.
RELATIONSHIPS BETWEEN CUSP POINTS IN THE EXTENDED MODULAR GROUP AND FIBONACCI NUMBERS
Koruoglu, Ozden,Sarica, Sule Kaymak,Demir, Bilal,Kaymak, A. Furkan The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.3
Cusp (parabolic) points in the extended modular group ${\bar{\Gamma}}$ are basically the images of infinity under the group elements. This implies that the cusp points of ${\bar{\Gamma}}$ are just rational numbers and the set of cusp points is $Q_{\infty}=Q{\cup}\{{\infty}\}$.The Farey graph F is the graph whose set of vertices is $Q_{\infty}$ and whose edges join each pair of Farey neighbours. Each rational number x has an integer continued fraction expansion (ICF) $x=[b_1,{\cdots},b_n]$. We get a path from ${\infty}$ to x in F as $<{\infty},C_1,{\cdots},C_n>$ for each ICF. In this study, we investigate relationships between Fibonacci numbers, Farey graph, extended modular group and ICF. Also, we give a computer program that computes the geodesics, block forms and matrix represantations.
Huseyin Ozden,Ya?ar ?ahin,Asuman Kilitci,Gokhan Karaca,Muhammed Gomec,Ahmet Yildiz,Cahit Ucar 대한외과학회 2022 Annals of Surgical Treatment and Research(ASRT) Vol.102 No.1
Purpose: The etiology and pathogenesis of distal colitis (DC) are poorly understood. Activation of intestinal inflammatory response may lead to intestinal tissue necrosis. Antioxidant and anti-inflammatory agents are among the treatment options. Our study aimed to compare the protective effects of mesalazine and Ganoderma lucidum in acetic acid (AA)-induced colitis in rats. Methods: Twenty-four rats were randomly grouped as colitis, mesalazine, G. lucidum, and combined (G. lucidum + mesalazine) groups. DC was induced by intrarectal administration of AA. Statistical comparisons were done by using parameters including colonic tissue IL-1, IL-6, TNF-α, and CRP levels. Histopathologic changes of the samples of colonic tissue were scored as mucosal damage score and inflammatory score. A P-value of <0.05 was considered significant. Results: Intrarectal administration of AA leads to increased interleukin and CRP levels. High mucosal damage and inflammatory scores were noted in colitis group animals. Single mesalazine or G. lucidum treatment produced considerably decreased tissue interleukin and CRP levels. The lowest tissue interleukin and CRP levels were noted in the combined treatment group of animals. Mucosal damage and inflammatory scores were found to be significantly low in this group of animals. Conclusion: The intrarectal administration of AA results in an activation of intestinal inflammation and severe mucosal damage in colonic tissue. Single use of mesalazine and G. lucidum treatment decreases the severity of intestinal inflammatory response and mucosal damage. The healing effects of the combined treatment of mesalazine and G. lucidum seem to be more effective than that of separate use in the treatment of DC.
A note on p -adic q -Euler measure
H. Ozden,Y. Simsek,S.-H. Rim,I. Cang?l 장전수학회 2007 Advanced Studies in Contemporary Mathematics Vol.14 No.2
In this paper, we wil investigate some interesting properties of the modified q-Euler numbers and polynomials. The main purpose of this paper is to construct p-adic q-Euler measureon Zp.