Senyurt, Suleyman; Mazlum, Sumeyye Gur; Canli, Davut; Can, Elif

In this study ruled surfaces formed by alternative unit vectors that draw these curves along Smarandache curves obtained from alternative vectors and alternative unit Darboux vectors of a differentiable curve are defined. Then the Gaussian and mean curvatures of each ruled surface are computed. It is also examined whether the surfaces are developable or minimal. Finally, examples of these surfaces are given and their graphics are drawn.

AtıfScopus5·WoS5

İncele

Bektas, Ozcan; Senyurt, Suleyman; Mazlum, Sumeyye Gur

The analytic properties of fuzzy sedenion numbers and sedenion valued series are studied. For this aim, we first introduce fuzzy sedenion numbers. Then we present infimum, supremum, distance, limit of sequences and other analytical properties of fuzzy sedenion numbers. We also define interval sedenion numbers and fuzzy sedenion valued series. Finally, we obtain comparison criteria of the fuzzy sedenion valued series.

AtıfScopus1

İncele

Senyurt, Suleyman; Canli, Davut; Can, Elif; Mazlum, Sumeyye Gur

In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. Then, the Gaussian and mean curvatures of the obtained ruled surfaces are calculated separately, and the conditions to be developable or minimal for the surfaces are given. Finally, the examples are given for each surface and the graphs of these surfaces are drawn.

AtıfWoS5

İncele