• Title/Summary/Keyword: growth and distortion

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GEOMETRIC PROPERTIES ON (j, k)-SYMMETRIC FUNCTIONS RELATED TO STARLIKE AND CONVEX FUNCTION

  • Gochhayat, Priyabrat;Prajapati, Anuja
    • Communications of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.455-472
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    • 2022
  • For j = 0, 1, 2,…, k - 1; k ≥ 2; and - 1 ≤ B < A ≤ 1, we have introduced the functions classes denoted by ST[j,k](A, B) and K[j,k](A, B), respectively, called the generalized (j, k)-symmetric starlike and convex functions. We first proved the sharp bounds on |f(z)| and |f'(z)|. Various radii related problems, such as radius of (j, k)-symmetric starlikeness, convexity, strongly starlikeness and parabolic starlikeness are determined. The quantity |a23 - a5|, which provide the initial bound on Zalcman functional is obtained for the functions in the family ST[j,k]. Furthermore, the sharp pre-Schwarzian norm is also established for the case when f is a member of K[j,k](α) for all 0 ≤ α < 1.

The Trend of suppression technology of harmonics for distribution system (고조파 유출 억제기술의 동향)

  • Koh Hee Seog;Lee Hyun Moo;Lee Chung Sik
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.330-332
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    • 2004
  • Reliance on electric power has increased together with customer's demand for delightful and convenient linging. Recently, as appeared in the rapid growth of the technology of power electronics, the installation and apparatus using semiconductor applicotion is widly supplied and used from a household goods to industrial goods. However, these machine generate harmonics current and voltage for electric power system. The harmonics current is increased voltage distortion and generate a lot of interference in the electric power system. In this paper, the trend of the trend of suppression technology of harmonics outflow and the fundamental theory about the suppression of harmonics current in the distribution system are investigated and evaluated Therefore we look forward to supply electric power of good quality to satisfy the harmonics current guide line which is applied to household goods in the world.

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A Study on the Characteristics of the Human Figure Expressed in Late Joseon Dynasty Paintings (조선 후기 회화에 나타난 인물 표현의 유형에 관한 연구)

  • Chung, Yoon Ju;Lee, Soon Jae
    • Journal of the Korean Society of Clothing and Textiles
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    • v.38 no.5
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    • pp.638-653
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    • 2014
  • The structure of noble centered social status of the late Joseon Dynasty collapsed due to the commoner's higher status and increased level of consciousness caused by the growth of commerce and agriculture. In art, the a Korean and ethnical style dominated; however, with a diversity in the depiction of human figures in portraits, Buddhist paintings, genre paintings and folklore paintings. This study examines the diversity in human figures expressed in the paintings of the late Joseon Dynasty by expanding the common aesthetic fixed to the typical Joseon style of renowned painters. The conclusion of this study is as follows. The human figure is categorized into three different types of 'realistic', 'ideal', and 'distortion' based on the aesthetic category. First, the realistic type is defined literally by its realistic and detailed depiction of noble class portraits classified as extreme type and general type. The extreme type's formative element is hypersubtlety which includes a simultaneous aesthetic of aptness and ugliness. The general type shows subtlety with aesthetic of aptness. Second, the ideal type is defined by representing the standard form of time and criteria classified as beautified type, absolute type, and dignified type. Each shows a different character of gender of femininity, androgyny, and masculinity. Third, distortion types are defined by a characteristic expression of humans by transshaping the features in various methods categorized as grotesque, abjection, friendly, rustic, and caricature type. Each shows different formative elements of bizarre, patheticness, voluptuous, inartificial, and immaturity.

ON THE ANALYTIC PART OF HARMONIC UNIVALENT FUNCTIONS

  • FRASIN BASEM AREF
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.563-569
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    • 2005
  • In [2], Jahangiri studied the harmonic starlike functions of order $\alpha$, and he defined the class T$_{H}$($\alpha$) consisting of functions J = h + $\bar{g}$ where hand g are the analytic and the co-analytic part of the function f, respectively. In this paper, we introduce the class T$_{H}$($\alpha$, $\beta$) of analytic functions and prove various coefficient inequalities, growth and distortion theorems, radius of convexity for the function h, if the function J belongs to the classes T$_{H}$($\alpha$) and T$_{H}$($\alpha$, $\beta$).

ON A SUBCLASS OF K-UNIFORMLY ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS AND THEIR PROPERTIES

  • Ma'moun I.Y. Alharayzeh;Habis S. Al-zboon
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.589-599
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    • 2023
  • The object of this study is to introduce a new subclass of univalent analytic functions on the open unit disk. This subclass is created by utilizing univalent analytic functions with negative coefficients. We first explore the specific properties that functions in this subclass must possess before examining their coefficient characterization. By applying this approach, we observe several fascinating features, including coefficient approximations, growth and distortion theorems, extreme points and a demonstration of the radius of starlikeness and convexity for functions belonging to this subclass.

Strong Orientation Anchoring and Shear Flow of a Nematic Liquid Crystal

  • Won Hee HAN
    • International journal of advanced smart convergence
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    • v.13 no.2
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    • pp.103-109
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    • 2024
  • A nonlinear numerical analysis of orientation and velocity fields of the full Ericksen-Leslie theory for a nematic liquid crystal under shear flow is given. We obtained for the first time the three-dimensional orientation and two component velocity profiles evolutions for both in- and out-of-shear plane orientation anchorings. Complex evolution routes to steady state were found even for shear aligning nematic. As the Ericksen number increases monotonic evolution of velocity and orientation shifts towards multi-region nucleating director rotation growth with complex secondary flow generations. We found that contrary to the in-shear-plane anchorings like homeotropic or parallel anchorings, binormal anchoring gives rise to substantial non-planar three-dimensional orientation with nonzero secondary flow.

Molecular Dynamics in Paraelectric Phase of KH2PO4 Crystals Studied by Single Crystal NMR and MAS NMR

  • Paik, Younkee;Chang, Celesta L.
    • Journal of the Korean Magnetic Resonance Society
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    • v.17 no.1
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    • pp.19-23
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    • 2013
  • The temperature dependences of the NMR spectrum and the spin-lattice relaxation times in $KH_2PO_4$ were investigated via single-crystal NMR and MAS NMR. The stretched-exponential relaxation that occurred because of the distribution of correlation times was indicative of the degree of the distribution of the double-well potential on the hydrogen bond. The behaviors responsible for the strong temperature dependences of the $^1H$ and $^{31}P$ spin-lattice relaxation times in the rotating frame $T_{1{\rho}}$ in $KH_2PO_4$ are likely related to the reorientational motion of the hydrogen-bond geometry and the $PO_4$ tetrahedral distortion.

Combination Algorithm of a Material for Marble Solid Effects

  • Park, Tae-Jin;Park, Man-Gon
    • Journal of Korea Multimedia Society
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    • v.7 no.12
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    • pp.1700-1707
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    • 2004
  • Nowaday, market size of digital image in world around is looks to rapidly growth. For this, Texture mapping has traditionally been used to add realism to computer graphics images. Therefore to make our image realistic, we need to give the various kind of objects material parameter and environment lighting. To present the completed marble we use passing back algorithm and combination with channel of a material. In experimental result of this paper that application by passing back algorithm and varying the parameter such as scale, period, distortion, octaves of noise make showing the superiority of optimized rendering of spheres and perfect another marble effects.

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$CO_2$ Laser Cladding of VERSAlloy on the S20C with Powder Feeding (분말공급장치를 이용한 VERSAlloy의 S20C강 $CO_2$ 레이저 클래딩)

  • 김재도;권진욱
    • Proceedings of the KWS Conference
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    • 2001.10a
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    • pp.128-131
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    • 2001
  • Laser cladding processing allows rapid transfer of heat to the material being processed with minimum conduction into base metal, resulting in low total heat input. The effects of $CO_2$ laser cladding with powder feeding on mechanical properties of VERSAlloy were studied. Their low melting point (under 1093$^{\circ}C$) enables overlays to be applied with minimum dilution and base metal distortion. Experiment results indicated that powder feeding speed and quantity were important for laser cladding with powder feeding. The powder feeding speed should be adapted according to cladding speed for good shaping of clad layer. The effect of heat on the HAZ size can be limited and the growth of grain size of HAZ size was not serious.

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Treatment of Lymphangioma combined with Facial Bone Deformity (안면골 변형을 동반한 림프관종의 치험례)

  • Cha Sang-Myun;Choi Hee-Youn
    • Korean Journal of Head & Neck Oncology
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    • v.7 no.1
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    • pp.24-34
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    • 1991
  • Lymphangioma is a benign, growth of lymphatic tissue that is present at birth or develops in early childhood, which may cause serious alterations in growth and developmemt. The problems with facial lymphangioma is usually releated directly to their size and to the area of the face which is involved. The lesions themselves may range from small, localized blemishes to huge facial masses involving both soft tissue and underlying bone and causing great distortion and asymmetry. The facial bones are seldom involved, but the natutal evolution of an individual lesion often cannot be accurately predicted when the child is first seen. Any changes in the underlying facial bone could be due either to a direct growth of the lesion into the bone, or secondary to pressure of the lesion growing outside the bone itself. A case of cystic lymphangioma extending from the neck to the tongue is reported. A six-year-old female was admitted because of swelling of the tongue. At that time, the tongue reportedly reached the extraoral size of 7x5x2.5cm and a soft, diffuse swelling of left anterior neck was revealed. The removal of cystic mass including left neck dissection and partial glossectomy were undertaken. The another case of lymphangioma is located on mandibular cheek. A twenty nine-year-old male was admitted because of palpable mass of the left mandibular area and fissure of palate. The radical excision of mass with mandibulectomy of body were undertuken. Thus we reported such a rare case and reviewed the lymphangioma.

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