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On Pseudo Null Bertrand Curves in Minkowski Space-time
Gok, Ismail,Nurkan, Semra Kaya,Ilarslan, Kazim Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.4
In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions $k_1(s)=1$, $k_2(s){\neq}0$ and $k_3(s)$ other than itself in Minkowski spacetime ${\mathbb{E}}_1^4$ and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1,3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1,3)-Bertrand curves in Minkowski spacetime.
A study on investigating the properties of alkali-activated roller compacted concretes
Kilic, Ismail,Gok, Saadet Gokce Techno-Press 2021 Advances in concrete construction Vol.12 No.2
In this study, it was aimed to contribute to a more environmentally friendly concrete production by using alternative binders, which are waste or by-products that can be used instead of cement. For this purpose, alkali-activated materials were used, a cleaner production process was supported by reducing the amount of activator, a different production method was preferred to prevent the workability problem caused by dry consistency, and roller compacted concrete was produced. Ground granulated blast furnace slag (GGBFS) and fly ash were used as precursors, and an activator solution prepared by mixing 10 M sodium hydroxide (NaOH) and sodium silicate (Na<sub>2</sub>SiO<sub>3</sub>), which has a Na<sub>2</sub>SiO<sub>3</sub>/NaOH ratio of 2.5, was used in production of alkali-activated roller compacted concretes. Also, Portland cement roller compacted concrete was produced with the same dosage for comparison purposes. Unit weight, total water absorption, ultrasonic pulse velocity (UPV), modulus of elasticity, abrasion resistance, 7 and 28-d compressive strength values of the alkali-activated RCCs were determined. While the roller compacted concretes produced with fly ash were weaker than Portland cement RCCs in terms of compressive strength, the specimens produced using blast furnace slag have been found to be superior.
KILLING MAGNETIC FLUX SURFACES IN EUCLIDEAN 3-SPACE
Ozdemir, Zehra,Gok, Ismail,Yayli, Yusuf,Ekmekci, F. Nejat The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.2
In this paper, we give a geometric approach to Killing magnetic flux surfaces in Euclidean 3-space and solve the differential equations which expressed the mentioned surfaces. Furthermore we give some examples and draw their pictures by using the programme Mathematica.
Killing Magnetic Flux surfaces in Euclidean 3-space
Zehra Ozdemir,Ismail Gok,Yusuf Yayli,F. Nejat EKMEKCI 호남수학회 2019 호남수학학술지 Vol.41 No.2
In this paper, we give a geometric approach to Killing magnetic flux surfaces in Euclidean 3-space and solve the differential equations which expressed the mentioned surfaces. Furthermore we give some examples and draw their pictures by using the programme Mathematica.
A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces
Ates, Fatma,Gok, Ismail,Ekmekci, Faik Nejat Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
In this paper, we introduce a new kind of slant helix for null curves called null $W_n$-slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of $W_n$ in (n + 2)-dimensional Lorentzian space $M^{n+2}_1$ (for n > 3). Also, we obtain a characterization such as: "The curve ${\alpha}$ s a null $W_n$-slant helix ${\Leftrightarrow}H^{\prime}_n-k_1H_{n-1}-k_2H_{n-3}=0$" where $H_n,H_{n-1}$ and $H_{n-3}$ are harmonic curvature functions and $k_1,k_2$ are the Cartan curvature functions of the null curve ${\alpha}$.
Harmonic curvature functions of some special curves in Galilean $3-$Space
Beyhan Yilmaz,Seyma Metin,Ismail Gok,Yusuf Yayli 호남수학회 2019 호남수학학술지 Vol.41 No.2
The aim of the paper is to characterize some curves with the help of their harmonic curvature functions. First of all, we have defined harmonic curvature function of an arbitrary curve and have re-determined the position vectors of helices in terms of their harmonic curvature functions in Galilean $3-$space. Then, we have investigated the relation between rectifying curves and Salkowski (or anti-Salkowski) curves in Galilean $3-$space. Furthermore, the position vectors of them are obtained via the serial approach of the curves. Finally, we have given some illustrated examples of helices and rectifying curves with some assumptions.
HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE
Yilmaz, Beyhan,Metin, Seyma,Gok, Ismail,Yayli, Yusuf The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.2
The aim of the paper is to characterize some curves with the help of their harmonic curvature functions. First of all, we have defined harmonic curvature function of an arbitrary curve and have re-determined the position vectors of helices in terms of their harmonic curvature functions in Galilean 3-space. Then, we have investigated the relation between rectifying curves and Salkowski (or anti-Salkowski) curves in Galilean 3-space. Furthermore, the position vectors of them are obtained via the serial approach of the curves. Finally, we have given some illustrated examples of helices and rectifying curves with some assumptions.