On the generalized darboux curves

Compassion fatigue and burnout in Turkish pediatric emergency nurses during the COVID-19 pandemic

“…Scale items are scored as “1 = never” to “7 = always.” The three subscale scores were calculated separately and categorized as low, moderate, or high levels of burnout (EE, low: ≤18, moderate: 19 to 26, high: ≥27; DP, low: ≤5, moderate: 6 to 9, high: ≥10; PA, low: ≤33, moderate: 34 to 39, high: ≥40) ( Maslach & Jackson, 1981 ). The validity and reliability of the Turkish version of the MBI was performed by Ergin (1992) , and the reliability coefficients were 0.83 for EE, 0.65 for DP, and 0.72 for PA. The scale, which was a 7-point Likert in its original form, has been changed to a 5-point Likert (“1 = never” to “5 = always”) in the Turkish form ( Ergin, 1992 ).…”

“…The validity and reliability of the Turkish version of the MBI was performed by Ergin (1992) , and the reliability coefficients were 0.83 for EE, 0.65 for DP, and 0.72 for PA. The scale, which was a 7-point Likert in its original form, has been changed to a 5-point Likert (“1 = never” to “5 = always”) in the Turkish form ( Ergin, 1992 ). In the present study, Cronbach-α coefficients were 0.90 for EE, 0.76 for DP, and 0.78 for PA.…”

Darboux curves on product time scales

“…Darboux curves in the Euclidean space were studied by Saban 16 and were generalized by Ergin. 17 For a curve 𝛼 on a surface in the Euclidean 3-space, the function…”

“…For a given curve $$$ \alpha $$$ on the surface $$$ M $$$, if the tangent plane of surface $$$ M $$$ and the tangent plane of osculating sphere of the curve $$$ \alpha $$$ coincide at every point of the curve, then $$$ \alpha $$$ is called a Darboux curve. Darboux curves in the Euclidean space were studied by Saban 16 and were generalized by Ergin 17 . For a curve $$$ \alpha $$$ on a surface in the Euclidean 3‐space, the function $$$$ D=<{\alpha}^{\prime \prime \prime },\mathbf{u}>={\kappa}_{\mathbf{u}}^{\prime }-{\kappa}_g{\tau}_g $$$$ is called Darboux function of $$$ \alpha $$$ where $$$ \mathbf{u} $$$ is normal vector field of surface, $$$ {\kappa}_{\mathbf{u}},{\kappa}_g $$$, and $$$ {\tau}_g $$$ are normal curvature, geodesic curvature, and geodesic torsion.…”

Darboux curves in three dimensional Heisenberg group

“…Darboux curves firstly were studied by Saban [17] in the Euclidean space, thereafter generalised by Ergin [2]. For a curve α on a surface in the E 3 the function D =< α ′′′ , u >= κ ′ u − κ g τ g is called Darboux function of α.…”