• Title/Summary/Keyword: ${\Re}_a$ operator

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THE BRIOT-BOUQUET DIFFERENTIAL SUBORDINATION ASSOCIATED WITH VERTICAL STRIP DOMAINS

  • Sim, Young Jae;Kwon, Oh Sang
    • Honam Mathematical Journal
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    • v.39 no.4
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    • pp.503-514
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    • 2017
  • For real parameters ${\alpha}$ and ${\beta}$ such that ${\alpha}$ < 1 < ${\beta}$, we denote by $\mathcal{P}({\alpha},{\beta})$ the class of analytic functions p, which satisfy p(0) = 1 and ${\alpha}$ < ${\Re}\{p(z)\}$ < ${\beta}$ in ${\mathbb{D}}$, where ${\mathbb{D}}$ denotes the open unit disk. Let ${\mathcal{A}}$ be the class of analytic functions in ${\mathbb{D}}$ such that f(0) = 0 = f'(0) - 1. For $f{\in}{\mathcal{A}}$, ${\mu}{\in}{\mathbb{C}}{\backslash}\{0\}$ and ${\nu}{\in}{\mathbb{C}}$, let $I_{{\mu},{\nu}:{\mathcal{A}}{\rightarrow}{\mathcal{A}}$ be an integral operator defined by $$I_{{\mu},{\nu}[f](z)}=\({\frac{{\mu}+{\nu}}{z^{\nu}}}{\int}^z_0f^{\mu}(t)t^{{\nu}-1}dt\)^{1/{\mu}}$$. In this paper, we find some sufficient conditions on functions to be in the class $\mathcal{P}({\alpha},{\beta})$. One of these results is applied to the integral operator $I_{{\mu},{\nu}}$ of two classes of starlike functions which are related to the class $\mathcal{P}({\alpha},{\beta})$.

A survey of experience-based preference of Nickel-Titanium rotary files and incidence of fracture among general dentists

  • Lee, WooCheol;Song, Minju;Kim, Euiseong;Lee, Hyojin;Kim, Hyeon-Cheol
    • Restorative Dentistry and Endodontics
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    • v.37 no.4
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    • pp.201-206
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    • 2012
  • Objectives: The purpose was to investigate the preference and usage technique of NiTi rotary instruments and to retrieve data on the frequency of re-use and the estimated incidence of file separation in the clinical practice among general dentists. Materials and Methods: A survey was disseminated via e-mail and on-site to 673 general dentists. The correlation between the operator's experience or preferred technique and frequency of re-use or incidence of file fracture was assessed. Results: A total of 348 dentists (51.7%) responded. The most frequently used NiTi instruments was ProFile (39.8%) followed by ProTaper. The most preferred preparation technique was crown-down (44.6%). 54.3% of the respondents re-used NiTi files more than 10 times. There was a significant correlation between experience with NiTi files and the number of re-uses (p = 0.0025). 54.6% of the respondents estimated experiencing file separation less than 5 times per year. The frequency of separation was significantly correlated with the instrumentation technique (p = 0.0003). Conclusions: A large number of general dentists in Korea prefer to re-use NiTi rotary files. As their experience with NiTi files increased, the number of re-uses increased, while the frequency of breakage decreased. Operators who adopt the hybrid technique showed less tendency of separation even with the increased number of re-use.

ON A CLASS OF QUANTUM ALPHA-CONVEX FUNCTIONS

  • NOOR, KHALIDA INAYAT;BADAR, RIZWAN S.
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.567-574
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    • 2018
  • Let $f:f(z)=z+{\sum^{{\infty}}_{n=2}}a_nz^n$ be analytic in the open unit disc E. Then f is said to belong to the class $M_{\alpha}$ of alpha-convex functions, if it satisfies the condition ${\Re}\{(1-{{\alpha})}{\frac{zf^{\prime}(z)}{f(z)}}+{{\alpha}}{\frac{(zf^{\prime}(z))^{\prime})}{f^{\prime}(z)}}\}$ > 0, ($z{\in}E$). In this paper, we introduce and study q-analogue of the class $M_{\alpha}$ by using concepts of Quantum Analysis. It is shown that the functions in this new class $M(q,{\alpha})$ are q-starlike. A problem related to q-Bernardi operator is also investigated.

An Empirical Analysis of a Process Design Considering Worker's Cognition (작업자의 인지를 고려한 공정 설계에 대한 실증 연구)

  • Kim, Yearnmin
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.2
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    • pp.80-85
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    • 2016
  • This study suggests a process design using cognitive processes. Job characteristic model for job design and recent cognitive engineering studies for process design are reviewed briefly. By using these concepts, the lean production system is re-interpreted in terms of cognitive engineering and the latent dimensions of the lean production system are revealed as the application of cognitive engineering principles. An integrated process design framework for cognitive manufacturing system using job characteristic model is suggested for the effective design of manufacturing system. Propositions for empirical analysis of this model are also analyzed through a questionnaire survey. Propositions are (1) experiential cognition and motivation potential affect the ability, role perception, and need for achievement of the operator in the manufacturing system, (2) the ability, role perception, and need for achievement of the operator affect the job performance. Both propositions are supported by correlation analysis and path analysis.

On the Fekete-Szegö Problem for Starlike Functions of Complex Order

  • Darwish, Hanan;Lashin, Abdel-Moniem;Al Saeedi, Bashar
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.477-484
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    • 2020
  • For a non-zero complex number b and for m and n in 𝒩0 = {0, 1, 2, …} let Ψn,m(b) denote the class of normalized univalent functions f satisfying the condition ${\Re}\;\[1+{\frac{1}{b}}\(\frac{D^{n+m}f(z)}{D^nf(z)}-1\)\]\;>\;0$ in the unit disk U, where Dn f(z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szegö functional |a3 - 𝜇a22| are obtained.

WEIGHTED COMPOSITION OPERATORS ON NACHBIN SPACES WITH OPERATOR-VALUED WEIGHTS

  • Klilou, Mohammed;Oubbi, Lahbib
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1125-1140
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    • 2018
  • Let A be a normed space, ${\mathcal{B}}(A)$ the algebra of all bounded operators on A, and V a family of strongly upper semicontinuous functions from a Hausdorff completely regular space X into ${\mathcal{B}}(A)$. In this paper, we investigate some properties of the weighted spaces CV (X, A) of all A-valued continuous functions f on X such that the mapping $x{\mapsto}v(x)(f(x))$ is bounded on X, for every $v{\in}V$, endowed with the topology generated by the seminorms ${\parallel}f{\parallel}v={\sup}\{{\parallel}v(x)(f(x)){\parallel},\;x{\in}X\}$. Our main purpose is to characterize continuous, bounded, and locally equicontinuous weighted composition operators between such spaces.

NEW FORM OF NJÅSTAD'S α-SET AND LEVINE'S SEMI-OPEN SET

  • Modak, Shyamapada;Islam, Md. Monirul
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.2
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    • pp.165-175
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    • 2017
  • This paper gives an extensive study of ideal topological space and introduce two new types of set with the help of local function. Several characterizations of these sets will also be discussed through this paper and finally gives new representation of ${\alpha}$-sets and semi-open sets.

Fluid-structure interaction problems solution by operator split methods and efficient software development by code-coupling

  • Ibrahimbegovic, Adnan;Kassiotis, Christophe;Niekamp, Rainer
    • Coupled systems mechanics
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    • v.5 no.2
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    • pp.145-156
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    • 2016
  • An efficient and general numerical strategy for fluid-structure interaction problems is presented where either the fluid or the structure part are represented by nonlinear models. This partitioned strategy is implemented under the form of code coupling that allows to (re)-use previous made developments in a more general multi-physics context. This strategy and its numerical implementation is verified on classical fluid-structure interaction benchmarks, and then applied to the impact of tsunamis waves on submerged structures.

OBLIQUE PROJECTION OPERATION FOR NEAR OPTIMAL IMAGE RESIZING

  • Lee, Chulhee
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1996.06a
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    • pp.209-212
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    • 1996
  • In this paper, we propose to re-size images using an oblique projection operator instead of the orthogonal one in order to obtain faster, simpler, and more general algorithms. The main advantage is that it becomes perfectly feasible to use higher order models(e.g., splines of degree n 3). We develop the theoretical background and present a simple and practical implementation procedure that uses B-splines. Experiments show that the proposed algorithm consistently outperforms the standard interpolation method and that it essentially provides the same performance as the optimal procedure (least squares solution) with considerably less computations.

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Development of Smart CAD/CAM System for Machining Center Based on B-Rep Solid Modeling Techniques (I) (A Study on the B-Rep Solid Modeler using Half Edge Data Structure) (B-Rep 솔리드모델을 이용한 머시닝 센터용 CAC/CAM 시스템 개발(1): 반모서리 자료구조의 B-Rep 솔리드모델러에 관한 연구)

  • 양희구;김석일
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.689-694
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    • 1994
  • In this paper, to develop a smart CAD/CAM system for systematically performing from the 3-D solid shape design of products to the CNC cutting operation of products by a machining center, a B-Rep solid modeler is realized based on the half edge data structure. Because the B-Rep solid modeler has the various capabilities related to the solid definition functions such as the creation operation of primitives and the translational and rotational sweep operation, the solid manipulation functions such as the split operation and the Boolean set operation, and the solid inversion function for effectively using the data structure, the 3-D solid shape of products can be easily designed and constructed. Also, besides the automatic generation of CNC code, the B-Rep solid modeler can be used as a powerful tool for realizing the automatic generation of finite elements, the interference check between solids, the structural design of machine tools and robots and so on.

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