• Title/Summary/Keyword: p-convex function

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ANALYTIC FUNCTIONS WITH CONIC DOMAINS ASSOCIATED WITH CERTAIN GENERALIZED q-INTEGRAL OPERATOR

  • Om P. Ahuja;Asena Cetinkaya;Naveen Kumar Jain
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.1111-1126
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    • 2023
  • In this paper, we define a new subclass of k-uniformly starlike functions of order γ (0 ≤ γ < 1) by using certain generalized q-integral operator. We explore geometric interpretation of the functions in this class by connecting it with conic domains. We also investigate q-sufficient coefficient condition, q-Fekete-Szegö inequalities, q-Bieberbach-De Branges type coefficient estimates and radius problem for functions in this class. We conclude this paper by introducing an analogous subclass of k-uniformly convex functions of order γ by using the generalized q-integral operator. We omit the results for this new class because they can be directly translated from the corresponding results of our main class.

Performance Optimization and Analysis on P2P Mobile Communication Systems Accelerated by MEC Servers

  • Liang, Xuesong;Wu, Yongpeng;Huang, Yujin;Ng, Derrick Wing Kwan;Li, Pei;Yao, Yingbiao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.1
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    • pp.188-210
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    • 2022
  • As a promising technique to support tremendous numbers of Internet of Things devices and a variety of applications efficiently, mobile edge computing (MEC) has attracted extensive studies recently. In this paper, we consider a MEC-assisted peer-to-peer (P2P) mobile communication system where MEC servers are deployed at access points to accelerate the communication process between mobile terminals. To capture the tradeoff between the time delay and the energy consumption of the system, a cost function is introduced to facilitate the optimization of the computation and communication resources. The formulated optimization problem is non-convex and is tackled by an iterative block coordinate descent algorithm that decouples the original optimization problem into two subproblems and alternately optimizes the computation and communication resources. Moreover, the MEC-assisted P2P communication system is compared with the conventional P2P communication system, then a condition is provided in closed-form expression when the MEC-assisted P2P communication system performs better. Simulation results show that the advantage of this system is enhanced when the computing capability of the receiver increases whereas it is reduced when the computing capability of the transmitter increases. In addition, the performance of this system is significantly improved when the signal-to-noise ratio of hop-1 exceeds that of hop-2.

A study on the design wax up technique for mandibular molar occlusion surface (하악구치 교합면의 design 조각법에 관한 연구)

  • Moon, Hee-Kyung
    • Journal of Technologic Dentistry
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    • v.24 no.1
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    • pp.107-126
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    • 2002
  • The first function of occlusion is mastication. Therefore the functional restoration of occlusal surface is very important. The restoration of occlusal surface is three method as wax bite technique, F.G.P. technique, cone technique. Many dental technician is using compound method. I am using compound method of wax bite technique and cone technique. I have knew common point on each teeth during I have waxing up wax pattern. So I studied on the design waxup technique for mandible molar occlusion. The results of the study were as follows; 1. The dam wax up method can restore axial contour of teeth very easy and make short working time of wax pattern. 2. The height of dam must be same with cusp of adjacent teeth. 3. Automatically the contour of tooth is appeared if the contour of dam is relationship with cuspid line of adjacent teeth. 4. The height of contour of buccal, lingual surface is formed natural curve to add fluid wax by gravitation. 5. The development groove of mandible first premolar is appeared V form. 6. The development groove of mandible second premolar is appeared Y form. 7, The development groove of mandible first molar is appeared M form. 8. The development groove of mandible second molar is W form. 9. The embrasure is formed to carve around contact point area as round convex. It affects to axial form of tooth. 10. The buccal, lingual groove of molar is formed parallel with direction of teeth arrangement.

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A Study on the design waxup technique for maxillary molar occlusion (상악구치 교합면의 design 조각법에 관한 연구)

  • Moon, Hee-Kyung
    • Journal of Technologic Dentistry
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    • v.21 no.1
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    • pp.97-114
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    • 1999
  • The first function of occlusion is mastication. Therefore the functional restoration of occlusal surface is very important. The restoration of occlusal surface is three method as wax bite technique, F.G.P. technique, cone technique. Many dental technician is using compound method. I have knew common point on each teeth during I have waxing up wax pattern. So I studied on the design waxup technique for maxillary molar occlusion. The results of the study were as follows ; 1. The dam wax up method can restore axial contour of teeth very easy and make short working time of wax pattern. 2. The height of dam must be same with cusp of adjacent teeth. 3. Automatically the contour of tooth is appeared if the contour of dam is relationship with cuspid line of adjacent teeth. 4. The height of contour of buccal, lingual surface is formed natural curve to add fluid wax by gravitation. 5. The development groove of Maxillary premolar is appeared V form. 6. The development groove of Maxillary molar is appeared W form. 7. The embrasure is formed to carve around contact point area as round convex. It affects to axial form of tooth. 8. I was knew that the lingual groove and stuart's groove of molar runs parallel with oblique ridge. 9. The buccal groove of molar is formed parallel with direction of teeth arrangement.

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Ultrasonic Assessment of Gastric Emptying According to Feeding Types and Postprandial Postures (수유 종류 및 수유 후 자세에 따른 위 배출 시간의 초음파적 연구)

  • Park, Jae-Ock;Kim, Jong-Bock
    • Pediatric Gastroenterology, Hepatology & Nutrition
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    • v.2 no.1
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    • pp.65-73
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    • 1999
  • Purpose: Regurgitation, vomiting and feeding intolerance are frequent in the neonates. Esophageal function and gastric peristalsis are not fully developed in the neonates, so we should give attention to reduce the incidence of regurgitation and vomiting after feeding. It is necessary to shorten the gastric emptying by change of feeding types and postprandial postures. Gastric emptying time was measured by ultrasound in the neonates to evaluate the effect of feeding types and postprandial postures. Method: We measured gastric antral cross sectional area along the abdominal aorta at the level of the superior mesenteric artery in longitudinal section at NPO state (4 hours after feeding), 0 and every 30 min. after feeding until the value goes below or back to the NPO state. Fifteen neonates were examined in each breast-fed and formula-fed group in supine position. Eighteen and 15 neonates were examined in supine and prone posture after formula feeding, respectively. We used 5 MHz convex prove with Aloka Echo Camera SSD-650. Result: 1) Gastric emptying time of breast-fed infants was $76.0{\pm}20.02$ min. which was significantly shorter than $96.0{\pm}20.28$ min. of formula-fed infants. 2) Gastric emptying time on postprandial prone posture was $85.0{\pm}22.43$ min. which was not significantly different from $96.0{\pm}20.28$ min. on postprandial supine posture. Conclusion: Breast feeding is strongly recommended to the neonates to shorten gastric emptying time. So we can expect to reduce the incidence of regurgitation, vomiting and feeding intolerance. The postprandial posture depends on the traditional trend which is safe and comfortable to the mothers.

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