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COMMON FIXED POINT THEOREMS FOR TWO SELF MAPS SATISFYING ξ-WEAKLY EXPANSIVE MAPPINGS IN DISLOCATED METRIC SPACE

  • Kim, Jong Kyu;Kumar, Manoj;Preeti, Preeti;Poonam, Poonam;Lim, Won Hee
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.271-287
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    • 2022
  • In this article, we shall prove a common fixed point theorem for two weakly compatible self-maps 𝒫 and 𝔔 on a dislocated metric space (M, d*) satisfying the following ξ-weakly expansive condition: d*(𝒫c, 𝒫d) ≥ d* (𝔔c, 𝔔d) + ξ(∧(𝔔c, 𝔔d)), ∀ c, d ∈ M, where $${\wedge}(Qc,\;Qd)=max\{d^*(Qc,\;Qd),\;d^*(Qc,\;\mathcal{P}c),\;d^*(Qd,\;\mathcal{P}d),\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(Qc,\;Qd)},\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(\mathcal{P}c,\;\mathcal{P}d)}\}$$. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.

A study of refraction state of middle aged & manhood in Daegu (대구지역 중·장년층의 굴절상태 연구)

  • Choi, Gei-Hun
    • Journal of Korean Ophthalmic Optics Society
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    • v.9 no.2
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    • pp.323-332
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    • 2004
  • This study researched the visual acuity test object and Auto-refractormeter, visual of near power. The object were composed of middle aged, the old men and women who in habit Daegu. The results were as follows : 1. The subjects consisted of 537 people, 29.98% men, 70.02% women. 2. The emmetropia was 1.12% for myopia, 2.79% for hyperopia, 96.09% for astigmatism. 3. The abnormal refraction was composition for myopic compound astigmatism(16.57%), hyperopia compound astigmatism(45.62%), Mixed astigmatism(33.89%). 4. On the Myopic Spherical Equivalent(S.E) power, the range of -0.50D ${\leq}$ M.S.E < -1.00D was 21.67%, -1.00D ${\leq}$ M.S.E < -2.00D was 48.89%, -2.00D ${\leq}$ M.S.E < -6.00D was 29.44%. 5. On the Hyperopic Spherical Equivalent(S.E) power, the range of +0.50D ${\leq}$ H.S.E < +1.00D was 28.57%, +1.00D ${\leq}$ H.S.E < +2.00D was 49.30%, +2.00D ${\leq}$ H.S.E < +6.00D was 23.13%. 6. The addition power was 1.00D(8.01%), 1.50D(8.57%), 2.00D(13.78%), 2.50D(16.57%), 3.00D(16.95%), 3.50D(17.88%), 4.00D(18.25%).

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Analysis of the Effects of Public R&D Subsidy on Private R&D Investment in the Cleaner Production - Complementary or Crowding-out Effect - (청정생산R&D 정부출연금의 기업R&D투자에 대한 효과분석 - 민간기업R&D투자의 보완.대체효과를 중심으로 -)

  • Ju, Hong-Shin;Kim, Jum-Su;Park, Jung-Gu
    • Clean Technology
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    • v.17 no.2
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    • pp.181-188
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    • 2011
  • In this study, the complementary or crowding-out effects of public R&D subsidy on private R&D investment in the cleaner production were analysed between the effects and the major determinants (company size, R&D investment intensity, ratio of government investment, R&D manpower intensity). Among 207 firms' projects, the number of the complementary effect was 95 (45.9%) while that of crowding-out effect was 38 (18.4%). Resulting from logistic regression, the higher the R&D investment of sponsored companies is, the more complementary effect they show, responding to public R&D subsidy, and increase own R&D investment. The other determinants, however, showed no significant effects on firms' R&D investment. To heighten the effect of public cleaner production R&D, it is need to increase the priority of R&D investment intensity among the determinants. And to increase the performance of governmental R&D investment, further studies for the individual public R&D programs are necessary.

A study on convergence of 2D and 3D animation : Focused on character and expression technique (2D 애니메이션과 3D 애니메이션의 융합: 캐릭터와 제작 기법을 중심으로)

  • Kim, Min-Jung;Kwak, No-Jun
    • Cartoon and Animation Studies
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    • s.48
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    • pp.45-67
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    • 2017
  • Many of the modern animations have 3D technology, and as time goes by, their production technology becomes more diverse and sophisticated. When John Alan Lasseter insisted on studying CG animation technology, he might have taken our jobs to the computer in the near future, as many people were worried about. It may be premature to worry that an unstable future may become a reality at this point, but I do not think there will be any difference in the fact that many animations are being produced using 3D technology. Since the Toy Story was screened in 1995, the 3D animation production technology has started to develop rapidly and now it has been elaborately developed so that it can not distinguish the part where computer graphics technology is applied from the live film. On the other hand, Disney's 2D animation part falls into the decline path because the appearance of 3D animation was perceived as a new expression technique at that time, and the efficiency of the work process was superior to the 2D animation in addition to receiving the attention from the audience. Is it necessary to accept the retrogression of 2D animation technology, reflecting the environment of the animation industry that 3D animation production technology has become mainstream in the first 20 years since the first theatrical works appeared? Since 2D animation technology has a long history and is still attractive to the audience, it is not hard to find an attempt to combine 2D and 3D animation technology. In this paper, I want to study 2D hand - drawn character in 3D animation. Through this, it is hoped that animation convergence technology will be applied more actively in the future.

A Relationship between $2^{nd}$ to $4^{th}$ Digit Length Ratio and Aggression Related-Sports Entries Characteristics in Female Athletics of Korean National Teams (여자 국가대표 선수의 검지-약지 비와 공격성 연관 종목 특징의 관계)

  • Shin, A Young;Lee, Yu Sang;Chae, Jeong Ho
    • Korean Journal of Biological Psychiatry
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    • v.17 no.1
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    • pp.37-43
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    • 2010
  • Objectives : The $2^{nd}$ to $4^{th}$ digit length ratio(2D : 4D) is a sexually dimorphic trait regardless of ethnicity and shows sex differences. According to previous research, men usually have a relatively shorter $2^{nd}$ digit than $4^{th}$ digit. There is tendency that men with lower 2D : 4D are perceived as being more masculine and tend to perform better in some physical sports. Furthermore, 2D : 4D is negatively associated with trait aggression. In this study, we examine gender difference of 2D : 4D and compare 2D:4D of female Korean national team members to 2D : 4D of control subjects. Besides that, we also compare 2D : 4D of female Korean national team members according to their sports entries. Methods : The sample of this study is 396 people, 67 female Korean national team member, 216 control women and 113 control men. We measured $2^{nd}$ to $4^{th}$ digit length of their right hand. In addition, we collected demographic information of female Korean national team members using a self-report questionnaire. Results : The mean 2D : 4D of female Korean national team members is 0.96(SD=0.04), smaller than control women's 2D : 4D(0.97, SD=0.03) and significantly higher than control men's 2D : 4D(0.95, SD=0.03). We also found differences between control men and women. Non-martial arts related sports athletes have significant difference with control men in 2D : 4D. However, martial arts related sports athletes' 2D : 4D is not significantly different from other groups, including control men. Conclusion : These results are consistent with the findings of previous research that there is a significant difference between men and women in their 2D : 4D. Furthermore, 2D : 4D of martial arts related sports athletes have not shown any difference from the 2D : 4D of control men that 2D : 4D of non-martial arts related athletes have shown. This fact is important in consideration of masculine characteristics. For further research, it is necessary to examine 2D : 4D difference according to sport ability and gender differences.

Development of an X3D Python Language Binding Viewer Providing a 3D Data Interface (3D 데이터 인터페이스를 제공하는 X3D Python 언어 바인딩 뷰어 개발)

  • Kim, Ha Seong;Lee, Myeong Won
    • KIPS Transactions on Software and Data Engineering
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    • v.10 no.6
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    • pp.243-250
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    • 2021
  • With the increased development of 3D VR applications augmented by recent VR/AR/MR technologies and by the advance of 3D devices, interchangeability and portability of 3D data have become essential. 3D files should be processed in a standard data format for common usage between applications. Providing standardized libraries and data structures along with the standard file format means that a more efficient system organization is possible and unnecessary processing due to the usage of different file formats and data structures depending on the applications can be omitted. In order to provide the function of using a common data file and data structure, this research is intended to provide a programming binding tool for generating and storing standardized data so that various services can be developed by accessing the common 3D files. To achieve this, this paper defines a common data structure including classes and functions to access X3D files with a standardized scheme using the Python programming language. It describes the implementation of a Python language binding viewer, which is an X3D VR viewer for rendering standard X3D data files based on the language binding interface. The VR viewer includes Python based 3D scene libraries and a data structure for creation, modification, exchange, and transfer of X3D objects. In addition, the viewer displays X3D objects and processes events using the libraries and data structure.

Simplified Methodology to Generate 2D/3D Object in 4D system for Civil Engineering Projects (토목시설물 4D구현을 위한 2D/3D 객체 생성 간편화 기법)

  • Lee Syeung-Youl;Lee Yong-Soo;Kim Chang-Hak;Kang Leen-Seok
    • Proceedings of the Korean Institute Of Construction Engineering and Management
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    • autumn
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    • pp.585-588
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    • 2003
  • This study attempts to develop a skeleton model to link construction schedule and 3D object for drawings in 4D system. Generally, the construction schedule and 3D object can be linked in 4D system by imported files which are made in specific S/Ws such as CAD S/W and scheduling S/W. Those methods have a difficulties for operating 4D data because extra work needs to link 4D data for each activity. This study develops a 4D model which the 4D data can be self-generated within the system. The suggested model can reduce the initial input data for new project by integrating schedule and 3D object in 4D system.

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Analysis of Tendency of 3D Computer Graphic Techniques in 2D Animations: Majorly in Japanese Animations (2D 애니메이션 작품에서 활용되고 있는 3D 컴퓨터그래픽스 기술 경향 분석 : 일본 장편애니메이션 중심으로)

  • Park, Sea-Young
    • Cartoon and Animation Studies
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    • s.10
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    • pp.121-135
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    • 2006
  • At present, it is very common to use techniques beyond the 2D (two-dimensional) in animations which are found in motion pictures, OVA and TV series. As you can see, PIXAR and Disney have reduced their 2D departments and recently put more effort into 3D (three-dimensional) animation. There is no doubt that producing 3D animation is the big trend. Along with this trend, the national education institutions and the national support policies are also changing to be supportive of 3D animations. We, however, should ask ourselves, if we are on the right track with this change. Through the analysis of the methods of creating 2D animation which we should keep as it is, but instead we import and incorporate with 3D techniques of Japanese 2D animation, I would like to present the importance and the significance of the 2D animation and also to suggest an effective way to create 2D fused with 3D computer graphics techniques.

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3D Figure Creation System Based on Content-Awareness for 3D Printing (3D 프린팅을 위한 콘텐츠 인지 기반 3D 개인 피규어 생성 시스템)

  • Lim, Seong-Jae;Hwang, Bon-Woo;Yoon, Seung-Uk;Jeon, Hye-Ryeong;Park, Chang-Joon;Choi, Jin-Sung
    • Journal of the Korea Computer Graphics Society
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    • v.21 no.3
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    • pp.11-16
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    • 2015
  • We present a system for generating 3D personalized figures. This system provides 3D figures model modification and combination functions based on the content-awareness. The integrity of the 3D model must be guaranteed at the time of slicing of the 3D model for 3D printing. In addition to this, with 3D printing, we generally have to print a hollow model in order to save money, time, and the integrity of the print. This paper proposes the automatic algorithm that creates the 3D individual figures with depth sensor and the easy UI functions for deformation, thickness adjustment, and combination of the generated 3D figures model based on the content-awareness. Our proposed method maintains the unique features of the generated 3D figures and ensures the successful 3D printing.

Aerodynamics of a cylinder in the wake of a V-shaped object

  • Kim, Sangil;Alam, Md. Mahbub;Russel, Mohammad
    • Wind and Structures
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    • v.23 no.2
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    • pp.143-155
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    • 2016
  • The interaction between two different shaped structures is very important to be understood. Fluid-structure interactions and aerodynamics of a circular cylinder in the wake of a V-shaped cylinder are examined experimentally, including forces, shedding frequencies, lock-in process, etc., with the V-shaped cylinder width d varying from d/D = 0.6 to 2, where D is the circular cylinder diameter. While the streamwise separation between the circular cylinder and V-shaped cylinder was 10D fixed, the transverse distance T between them was varied from T/D = 0 to 1.5. While fluid force and shedding frequency of the circular cylinder were measured using a load cell installed in the circular cylinder, measurement of shedding frequency of the V-shaped cylinder was done by a hotwire. The major findings are: (i) a larger d begets a larger velocity deficit in the wake; (ii) with increase in d/D, the lock-in between the shedding from the two cylinders is centered at d/D = 1.1, occurring at $d/D{\approx}0.95-1.35$ depending on T/D; (iii) at a given T/D, when d/D is increased, the fluctuating lift grows and reaches a maximum before decaying; the d/D corresponding to the maximum fluctuating lift is dependent on T/D, and the relationship between them is linear, expressed as $d/D=1.2+{\frac{1}{e}}T/D$; that is, a larger d/D corresponds to a greater T/D for the maximum fluctuating lift.