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Yucesan, Ahmet,Yasar, Erol Korean Mathematical Society 2012 대한수학회논문집 Vol.27 No.4
We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.
LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
Yucesan, Ahmet,Yasar, Erol Korean Mathematical Society 2010 대한수학회보 Vol.47 No.5
In this paper, we study lightlike submanifolds of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We obtain a necessary and a sufficient condition for integrability of the screen distribution. Then we give the conditions under which the Ricci tensor of a lightlike submanifold with a semi-symmetric non-metric connection is symmetric. Finally, we show that the Ricci tensor of a lightlike submanifold of semi-Riemannian space form is not parallel with respect to the semi-symmetric non-metric connection.
( Serkan Yucesan ),( Meral Mert ),( Zeynep Erturk ),( Selcuk Sezikli ),( Yildiz Okuturlar ),( Ozlem Harmankaya ) 대한내과학회 2014 대한내과학회 추계학술대회 Vol.2014 No.1
Background: Hypothyroidism is a prevalent endocrine disorder. The most common cause of hypothyroidism is autoimmune thyroid disorder. A possible prothrombotic effect of elevated thyrotropin (TSH) has been suggested. MPV can be used as a marker of platelet activity. The objective of the present study was to determine if there is an association between the MPV, serum TSH and auto-antibody(anti-TPO and anti-TG) concentrations. Methods: We studied 145 adults with hypothyroidism (TSH >5 mlU/L ). We evaluate the mean values MPVs and their relation with auto-antibody and TSH levels. Results: 126 female and 19 male patients were in enrolled in our study retrospectively. The mean level of the MPV in all patients was 8.41 femtoliters (fL) and the mean level of TSH was 13.41 mlU/L. Negative correlation (r:0.015) between MPV, age, and anti-TPO ve TG was found. There was no correlation between MPV and TSH. There was no statistically significant difference between TSH, MPV, auto-antibody levels and age. Conclusions: MPV is reported to be increased in vascular events like atherosclerotic thrombosis and to be decreased in acute infl ammation. The main pathophysiological process is inflammation in autoimmune thyroid disease, so the possible explanation of negative correlation between MPV and autoantibodies is autoimmunity.
Ayyildiz, Nihat,Yucesan, Ahmet Korean Mathematical Society 2006 대한수학회지 Vol.43 No.6
This paper develops in detail the differential geometry of ruled surfaces from two perspectives, and presents the underlying relations which unite them. Both scalar and dual curvature functions which define the shape of a ruled surface are derived. Explicit formulas are presented for the computation of these functions in both formulations of the differential geometry of ruled surfaces. Also presented is a detailed analysis of the ruled surface which characterizes the shape of a general ruled surface in the same way that osculating circle characterizes locally the shape of a non-null Lorentzian curve.
Ozkan Tukel, Gozde,Turhan, Tunahan,Yucesan, Ahmet The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.2
Inspired by the problem of finding hyperelastic curves in a Riemannian manifold, we present a study on the variational problem of a hyperelastic curve in Lie group. In a Riemannian manifold, we reorganize the characterization of the hyperelastic curve with appropriate constraints. By using this equilibrium equation, we derive an Euler-Lagrange equation for the hyperelastic energy functional defined in a Lie group G equipped with bi-invariant Riemannian metric. Then, we give a solution of this equation for a null hyperelastic Lie quadratic when Lie group G is SO(3).
Gozde Ozkan Tukel,Tunahan Turhan,Ahmet Yucesan 호남수학회 2019 호남수학학술지 Vol.41 No.2
Inspired by the problem of finding hyperelastic curves in a Riemannian manifold, we present a study on the variational problem of a hyperelastic curve in Lie group. In a Riemannian manifold, we reorganize the characterization of the hyperelastic curve with appropriate constraints. By using this equilibrium equation, we derive an Euler-Lagrange equation for the hyperelastic energy functional defined in a Lie group $G$ equipped with bi-invariant Riemannian metric. Then, we give a solution of this equation for a null hyperelastic Lie quadratic when Lie group $G$ is $SO(3).$
Murat Cakir,Sukran Senyuva,Sibel Kul,Elif Sag,Ali Cansu,Fulya Balaban Yucesan,Serap Ozer Yaman,Asim Orem 대한소아소화기영양학회 2019 Pediatric gastroenterology, hepatology & nutrition Vol.22 No.2
Purpose: Malnutrition may influence neurocognitive development in children by directly affecting the brain structural development, or indirectly by affecting the children's cognition experience. Malnutrition alters the cell numbers, cell migration, synaptogenesis, and neurotransmission due to inadequate availability of necessary micronutrients to support cell growth. We aimed to analyze neurocognitive development in infants with malnutrition and its association with long chain polyunsaturated fatty acids (LC-PUFA), micronutrients levels and magnetic resonance spectroscopy (MRS) findings. Methods: The study included two groups; group 1, infants with malnutrition (n=24), group 2; healthy infants (n=21). Peripheral blood was obtained from the participants for studying micronutrients and LC-PUFA levels. The neurocognitive development was analyzed by the use of an Ankara Developmental Screening Inventory test. MRS were performed on all infants. Results: All parameters of neurocognitive development and serum calcium (9.6±0.9 mg/dL vs. 10.4±0.3 mg/dL, p <0.05) and magnesium (2.02±0.27 mg/dL vs. 2.2±0.14 mg/dL, p <0.05) levels were noted as being low in infants with marked malnutrition. No difference was found in LC-PUFA levels between healthy and malnourished infants. Thalamic choline/creatine levels were significantly high in infants with malnutrition (1.33±0.22 vs. 1.18±0.22, p <0.05). Total neurocognitive development in infants was positively correlated with serum calcium levels ( p <0.05, r=0.381). Conclusion: Calcium supplementation may improve neurocognitive development in malnourished infants.
Cakir, Murat,Senyuva, Sukran,Kul, Sibel,Sag, Elif,Cansu, Ali,Yucesan, Fulya Balaban,Yaman, Serap Ozer,Orem, Asim The Korean Society of Pediatric Gastroenterology 2019 Pediatric gastroenterology, hepatology & nutrition Vol.22 No.2
Purpose: Malnutrition may influence neurocognitive development in children by directly affecting the brain structural development, or indirectly by affecting the children's cognition experience. Malnutrition alters the cell numbers, cell migration, synaptogenesis, and neurotransmission due to inadequate availability of necessary micronutrients to support cell growth. We aimed to analyze neurocognitive development in infants with malnutrition and its association with long chain polyunsaturated fatty acids (LC-PUFA), micronutrients levels and magnetic resonance spectroscopy (MRS) findings. Methods: The study included two groups; group 1, infants with malnutrition (n=24), group 2; healthy infants (n=21). Peripheral blood was obtained from the participants for studying micronutrients and LC-PUFA levels. The neurocognitive development was analyzed by the use of an Ankara Developmental Screening Inventory test. MRS were performed on all infants. Results: All parameters of neurocognitive development and serum calcium ($9.6{\pm}0.9mg/dL$ vs. $10.4{\pm}0.3mg/dL$, p<0.05) and magnesium ($2.02{\pm}0.27mg/dL$ vs. $2.2{\pm}0.14mg/dL$, p<0.05) levels were noted as being low in infants with marked malnutrition. No difference was found in LC-PUFA levels between healthy and malnourished infants. Thalamic choline/creatine levels were significantly high in infants with malnutrition ($1.33{\pm}0.22$ vs. $1.18{\pm}0.22$, p<0.05). Total neurocognitive development in infants was positively correlated with serum calcium levels (p<0.05, r=0.381). Conclusion: Calcium supplementation may improve neurocognitive development in malnourished infants.