• Title/Summary/Keyword: property ($D_2$)

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SOME CONVEX PROPERTIES IN BANACH SPACES

  • Cho, Kyu-Geun;Lee, Chong-Sung
    • Journal of applied mathematics & informatics
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    • v.26 no.1_2
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    • pp.407-416
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    • 2008
  • In this paper, we study property ($B_2$) and property ($D_2$) and their implications.

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PROPERTY ($D_k$) IN BANACH SPACES

  • Cho, Kyu-Geun;Lee, Chong-Sung
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1519-1525
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    • 2010
  • In this paper, we define property ($D_k$) and get the following strict implications. $$(UC){\Rightarrow}(D_2){\Rightarrow}(D_3){\Rightarrow}{\cdots}{\Rightarrow}(D_{\infty}){\Rightarrow}(BS)$$.

Suggestions for Outcome-Oriented R&D Activity in Terms of Intellectual Property Management (지식재산의 관리 측면에서 본 연구성과 지향형 연구개발을 위한 제언)

  • Kim, Seung-Kun;Ko, Myong-Suk
    • Toxicological Research
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    • v.23 no.2
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    • pp.115-121
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    • 2007
  • Biotechnology is often described as the 'exploitation of biological processes for industrial purposes'. The last twenty years have seen phenomenal growth in this industry. The 21 century promises to see further advances in the field. However, since the cost of research is high, and the potential returns are linked to exclusivity, intellectual property protection is critical to this burgeoning industry. Without protection such investments in R&D would not be made and, the benefit that BT-related development are expected to bring, would not occur. BT industry are eager for high technology, and the technology must be transferred to a corporation from a research organization. In order to be successful, it is important that scientist must be directed toward R&D outcome beyond performance assessment. The process to gain a outcome involves multiple steps to turn the idea into the profit, and intellectual property issues are considered into the critical factors to affect the quality of R&D. The management of Intellectual property is very important in R&D. However, According to the survey conducted by KIIP (Korea Institute of Intellectual Property) and KOSEF (Korea Science and Engineering Foundation) in 2006, it is estimated the ability to treat Intellectual property is not sufficient because 82.5% of the respondents have not received an education. Governmental Support is needed to prompt systematically the ability of intellectual property management through education and consulting.

DISJOINT PAIRS OF ANNULI AND DISKS FOR HEEGAARD SPLITTINGS

  • SAITO TOSHIO
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.773-793
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    • 2005
  • We consider interesting conditions, one of which will be called the disjoint $(A^2,\;D^2)-pair$ property, on genus $g{\geq}2$ Heegaard splittings of compact orient able 3-manifolds. Here a Heegaard splitting $(C_1,\;C_2;\;F)$ admits the disjoint $(A^2,\;D^2)-pair$ property if there are an essential annulus Ai normally embedded in $C_i$ and an essential disk $D_j\;in\;C_j((i,\;j)=(1,\;2)\;or\;(2,\;1))$ such that ${\partial}A_i$ is disjoint from ${\partial}D_j$. It is proved that all genus $g{\geq}2$ Heegaard splittings of toroidal manifolds and Seifert fibered spaces admit the disjoint $(A^2,\;D^2)-pair$ property.

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.

Real 3D Property Integral Imaging NFT Using Optical Encryption

  • Lee, Jaehoon;Cho, Myungjin;Lee, Min-Chul
    • Current Optics and Photonics
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    • v.6 no.6
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    • pp.565-575
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    • 2022
  • In this paper, we propose a non-fungible token (NFT) transaction method that can commercialize the real 3D property and make property sharing possible using the 3D reconstruction technique. In addition, our proposed method enhances the security of NFT copyright and metadata by using optical encryption. In general, a conventional NFT is used for 2D image proprietorial rights. To expand the scope of the use of tokens, many cryptocurrency industries are currently trying to apply tokens to real three-dimensional (3D) property. However, many token markets have an art copyright problem. Many tokens have been minted without considering copyrights. Therefore, tokenizing real property can cause significant social issues. In addition, there are not enough methods to mint 3D real property for NFT commercialization and sharing property tokens. Therefore, we propose a new token management technique to solve these problems using integral imaging and double random phase encryption. To show our system, we conduct a private NFT market using a test blockchain network that can demonstrate the whole NFT transaction process.

Technical Design of Tight Upper Sportswear based on 3D Scanning Technology and Stretch Property of Knitted Fabric (3차원 스캔 기술과 니트 소재의 신축성을 적용한 밀착형 스포츠웨어 상의 설계)

  • Kim, Tae-Gyou;Park, Soon-Jee;Park, Jung-Whan;Suh, Chu-Yeon;Choi, Sin-Ae
    • Fashion & Textile Research Journal
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    • v.14 no.2
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    • pp.277-285
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    • 2012
  • This research studied how to develop tight upper sportswear from 3D scan data considering fabric stretch property. Subjects were five Korean men of average figure in their 20's. Scanning was done for ten postures via vitus smart/pro(Techmath LTD). Analyzing from 3D scan data, more than 70% of the upper body surface showed surface change rate under 20%. It was shoulder and under arm side part that showed most noticeable body surface change when moving. A parametric model with convex surface was generated and flattened onto the plane, resulting 2D pattern. The error rate occurring in the process of 3D to 2D conversion was 0.2% for outline and 0.13% for area, respectively. Thirteen kinds of stretchable fabrics in the market were collected for this study. Stretch property was in the range of 16.0~58.2% for wale direction; 23.1~78.4% for course. Based on wear trial test, four fabrics were chosen for making the 1st experimental garment and finally one fabric was chosen for the 2nd one, which was developed applying 4 kinds of crosswise reduction rate on 2D pattern: 0, 5, 10, and 15%. Through wear trial test and garment pressure measurement, experimental garment applied with 10% pattern reduction rate was evaluated as most comfortable and considerable.

A Novel 3D Polypseudo-rotaxane Metal-organic Framework Based on a Flexible Bis-pyridyl-bis-amide Ligand

  • Wang, Xiu-Li;Han, Na;Lin, Hong-Yan;Xu, Chuang;Luan, Jian;Liu, Guo-Cheng
    • Bulletin of the Korean Chemical Society
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    • v.33 no.11
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    • pp.3793-3796
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    • 2012
  • A novel 3D compound $\{[Cu(L)(H_2O)_4][Cu_2(SIP)_2(L)_2]\}{\cdot}2H_2O$ (1) (L = N,N-bis(4-pyridinecarboxamide)-1,4-butane, SIP = 5-sulfoisophthalate) is hydrothermally synthesized. X-ray diffraction analysis reveals that compound 1 is composed of 2D anionic $[Cu_2(SIP)_2(L)_2]_n{^{2n-}}$ double-layers and discrete 1D cationic $[CuL(H_2O)_4]_n{^{2n+}}$ polymeric chains, which represents a rare 3D polypseudo-rotaxane MOF from intercalation of 1D and 2D framework. In addition, the luminescent property and electrochemical behavior of compound 1 have been investigated.

ON "VERY PALINDROMIC" SEQUENCES

  • BASIC, BOJAN
    • Journal of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.765-780
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    • 2015
  • We consider the problem of characterizing the palindromic sequences ${\langle}c_{d-1},\;c_{d-2}\;,{\cdots},\;c_0\rangle$, $c_{d-1}{\neq}0$, having the property that for any $K{\in}\mathbb{N}$ there exists a number that is a palindrome simultaneously in K different bases, with ${\langle}c_{d-1},\;c_{d-2}\;,{\cdots},\;c_0\rangle$ being its digit sequence in one of those bases. Since each number is trivially a palindrome in all bases greater than itself, we impose the restriction that only palindromes with at least two digits are taken into account. We further consider a related problem, where we count only palindromes with a fixed number of digits (that is, d). The first problem turns out not to be very hard; we show that all the palindromic sequences have the required property, even with the additional point that we can actually restrict the counted palindromes to have at least d digits. The second one is quite tougher; we show that all the palindromic sequences of length d = 3 have the required property (and the same holds for d = 2, based on some earlier results), while for larger values of d we present some arguments showing that this tendency is quite likely to change.

D-CRLH Based Band Rejection Filter using a Concavo-Convex Coupled CPW Transmission Line

  • Seo, Soo-Duk;Cho, Hak-Rae;Yang, Doo-Yeong
    • Journal of Electrical Engineering and Technology
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    • v.11 no.2
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    • pp.463-469
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    • 2016
  • In this paper, the use of a dual composite right/left-handed coplanar waveguide (CPW) transmission line is proposed for the design of a band rejection filter. The notch property of the filter is achieved by combining the convex signal line with the shorted concave meander line, and the equivalent circuit model is extracted from the geometry of the unit cell for organizing the band rejection property. Then the equivalent parameters of the unit cell are analyzed to identify those behaviors. And the dispersion characteristics and energy distributions are simulated. In the end, the band rejection filter is manufactured by cascading two proposed unit cells. We show that the measurement result for the resonant frequency demonstrates good agreement with the simulation result and the band rejection filter provides a rejection performance of 17.5 dB at the stopband frequency ranging from 869 MHz to 894 MHz.