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ON ERDŐS CHAINS IN THE PLANE

  • Passant, Jonathan
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1279-1300
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    • 2021
  • Let P be a finite point set in ℝ2 with the set of distance n-chains defined as ∆n(P) = {(|p1 - p2|, |p2 - p3|, …, |pn - pn+1|) : pi ∈ P}. We show that for 2 ⩽ n = O|P|(1) we have ${\mid}{\Delta}_n(P){\mid}{\gtrsim}{\frac{{\mid}P{\mid}^n}{{\log}^{\frac{13}{2}(n-1)}{\mid}P{\mid}}}$. Our argument uses the energy construction of Elekes and a general version of Rudnev's rich-line bound implicit in [28], which allows one to iterate efficiently on intersecting nested subsets of Guth-Katz lines. Let G is a simple connected graph on m = O(1) vertices with m ⩾ 2. Define the graph-distance set ∆G(P) as ∆G(P) = {(|pi - pj|){i,j}∈E(G) : pi, pj ∈ P}. Combining with results of Guth and Katz [17] and Rudnev [28] with the above, if G has a Hamiltonian path we have ${\mid}{\Delta}_G(P){\mid}{\gtrsim}{\frac{{\mid}P{\mid}^{m-1}}{\text{polylog}{\mid}P{\mid}}}$.

Effects of Purple Sweet Potato intake and Aerobic Combined Exercise on Health Related Fitness, Blood lipid profile and Insulin resistance (자색고구마 섭취와 유산소 복합운동이 비만 여중생의 건강체력, 혈중지질 및 인슐린 저항성에 미치는 영향)

  • Son, Won-Mok;Kim, Do-Yeon;Sung, Ki-Dong;Baek, Young-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.11
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    • pp.7524-7533
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    • 2015
  • The purpose of this study was to investigate the effects of purple sweet potato(PSP) intake and aerobic combined exercise in obese middle school girls. Twenty-four, obese(%body fat > 30%) middle school girls composed of the purple sweet potato intake and aerobic combined exercise group(A, n=6), the aerobic combined exercise group(B, n=6), the purple sweet potato intake group(C, n=6), the control group(D, n=6). The variables of health related fitness, blood lipid profile, insulin resistance were measured in all the subjects before the start and after the end of 12 week aerobic combined exercise program(40~70%HRR, 3 times per week, 70 mins). The test data were analyzed by paired t-test and one way ANOVA, and the alpha level of p<.05 was set for all tests of significance. In the comparison within each group, %body fat[A(p<.01), C(p<.05) groups], TC[A(p<.05), B(p<.01), C(p<.01) groups] and insulin resistance[A(p<.05) group] were significantly decreased and LBM[A(p<.01), B(p<.01) groups], muscular strength[A(p<.01), B(p<.001), C(p<.05) groups], muscular endurance[A(p<.05), B(p<.001) groups], flexibility[A(p<.05), B(p<.01) groups] and cardiorespiratory endurance[A(p<.05), B(p<.001), C(p<.01) groups] were significantly increased. In the comparison between groups, A group was significantly decreased in %body fat, TC and TG than D group(p<.05). A group was significantly increased in muscular strength and cardiorespiratory endurance than C, D groups (p<.05). A group was significantly increased in muscular endurance and HDL-C than D group(p<.05). A, B groups were significantly increased in flexibility than D group(p<.05). A, B, C groups were significantly decreased in insulin resistance than D group(p<.05). In conclusion, purple sweet potato intake and aerobic combined exercise were effective in improving the health related fitness, blood lipid profile and insulin resistance in obese middle school girls.

P2P Group Search Algorithm to Improve Usability (사용성 개선을 위한 P2P 그룹 검색 알고리즘)

  • Kim, Boon-Hee
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.2
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    • pp.185-192
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    • 2010
  • A P2P technology in distributed environments is very useful in the respect that persons to have resources efficiently share the resources. A P2P system is caused as follows : resource search, resource transmission, resource transmission again and then excessively occurred network traffic. To improve performance about this a lot of studies is proceeding. One of this various study's directions to improve performance is recently come to a field to improve usability as such person. At this point this study is proposed P2P group search algorithm to improve usability.

Defending Against Some Active Attacks in P2P Overlay Networks (P2P 오버레이 네트워크에서의 능동적 공격에 대한 방어)

  • Park Jun-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.4C
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    • pp.451-457
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    • 2006
  • A peer-to-peer(P2P) network is inherently vulnerable to malicious attacks from participating peers because of its open, flat, and autonomous nature. This paper addresses the problem of effectively defending from active attacks of malicious peers at bootstrapping phase and at online phase, respectively. We propose a secure membership handling protocol to protect the assignment of ID related things to a newly joining peer with the aid of a trusted entity in the network. The trusted entities are only consulted when new peers are joining and are otherwise uninvolved in the actions of the P2P networks. For the attacks in online phase, we present a novel message structure applied to each message transmitted on the P2P overlay. It facilitates the detection of message alteration, replay attack and a message with wrong information. Taken together, the proposed techniques deter malicious peers from cheating and encourage good peers to obey the protocol of the network. The techniques assume a basic P2P overlay network model, which is generic enough to encompass a large class of well-known P2P networks, either unstructured or not.

Phylogenetic Relationships Using ITS2 Sequence and RAPD-PCR Data from Four Species of Korean Pseudo-nitzschia (Bacillariophyceae) (ITS2 부위의 염기서열 및 RAPC-PCR에 의한 Pseudo-nitzschia 4종의 유연관계)

  • Cho, Eun-Seob;Lee, Young-Sik
    • Journal of Life Science
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    • v.14 no.1
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    • pp.32-37
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    • 2004
  • A portion of ribosomal internal transcribed spacer (ITS) 2 was sequenced from the samples of Pseudo nitzschia (P. deticatissima, P. multiseries, P. pungens and P. subfraudulenta) to investigate the genetic characteristics by measuring tile magnitude of genetic diversity and the degree of similarity coefficient using random amplified polymorphic DNAs (RAPD)-PCR patterns. The phylogenetic trees inferred from the genetic distance analyses showed the placement of P. delicatissima formed a quite long distance from p. P. multiseries, P. pungens, and even P. subfraudulenta. The phylogenetic tree from RAPD patterns showed that P. multiseries and P. pungens had dissimilarity coefficient of 0.31, while P. delicatissima and three species of Pseudo-nitzschia had that of 0.81. It is likely thought that the genetic position of P. delicatissima formed far from P. multiseries, P. punges, and P. subfraudulenta. These results imply that ITS2 region is expected to support a useful molecular characters for recognizing at the species level and for even discriminating P. multiseries from P. pungens. RAPD method also will be used to differentiate the species of Pseudo-nitzschia in a short time.

Activity of virE promoter in Agrobacterium tumefaciens A348 (Agrobacterium tumefaciens A348에서 virE 프로모터의 활성)

  • 음진성
    • Journal of Plant Biology
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    • v.34 no.4
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    • pp.331-339
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    • 1991
  • To elucidate the regulatory mechanism of virE operon from vir regions (virA, virB, virC, virD, virG, virE) of pTiA6 which have been known to be essential for efficient crown gall tumorigenesis in plants, the activity of the truncated virE, promoter was analyzed. pSM358cd, a recombinant plasmid in which virE :: Tn3-HoHo1 (Tn3-promoterless lacZ) was cloned into SalI site of pVK102, was digested with SalI, and virE :: Tn3-HoHo1 was seperated from pVK102. To construct the truncted virE recombinant plasmids (pJS031, pJS051, pJS102, pJS201, pJS301), 5'-end of vireE promoter was deleted with BAL31 and cloned into pVK102 and then transferred into a. tumefaciens A348(pTiA6). According to the activity of the truncated virE promoter in recombinant plasmids, they were classified into two groups, pJS031, pJS051, pJS101 and pJS201 belong to a functional group and pJS301 is a non-functional. The size of deleted nucleotides of pJS201 and pJS301 seemed to be about 130 nucleotides and about 250 nucleotides from 5'-end of virE promoter, respectively. Hence it was thought that the essential site of the virE promoter was located between about 130th nucleotide and 250th nucleotide from 5'-end of the virE promoter.

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ON A CLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Shukla, S.L.;Chaudhary, A.M.;Owa, S.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.129-139
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    • 1988
  • Let $T^{\alpha}_{\lambda}$(p, A, B) denote the class of functions $$f(z)=z^p-{\sum\limits^{\infty}_{k=1}}{\mid}a_{p+k}{\mid}z^{p+k}$$ which are regular and p valent in the unit disc U = {z: |z| <1} and satisfying the condition $\left|{\frac{{e^{ia}}\{{\frac{f^{\prime}(z)}{z^{p-1}}-p}\}}{(A-B){\lambda}p{\cos}{\alpha}-Be^{i{\alpha}}\{\frac{f^{\prime}(z)}{z^{p-1}}-p\}}}\right|$<1, $z{\in}U$, where 0<${\lambda}{\leq}1$, $-\frac{\pi}{2}$<${\alpha}$<$\frac{\pi}{2}$, $-1{\leq}A$<$B{\leq}1$, 0<$B{\leq}1$ and $p{\in}N=\{1,2,3,{\cdots}\}$. In this paper, we obtain sharp results concerning coefficient estimates, distortion theorem and radius of convexity for the class $T^{\alpha}_{\lambda}$(p, A, B). It is further shown that the class $T^{\alpha}_{\lambda}$(p, A, B) is closed under "arithmetic mean" and "convex linear combinations". We also obtain class preserving integral operators of the form $F(z)=\frac{p+c}{z^c}{\int^z_0t^{c-1}}f(t)dt$, c>-p, for the class $T^{\alpha}_{\lambda}$(p, A, B). Conversely when $F(z){\in}T^{\alpha}_{\lambda}$(p, A, B), radius of p valence of f(z) has also determined.

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Implementation of P2P Streaming System Based on Locality and Delay (지역성과 지연시간 기반의 P2P 스트리밍 시스템 구현)

  • An, Sun-hee;Park, Seung-chul
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.116-119
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    • 2009
  • In this paper, a P2P streaming system for community TV service which requires realtime interactions was designed and implemented. The proposed system constructs a short delay tree-based P2P network in order to effectively support various community TV services within end-to-end delay bounds. Because a community service based on conversation requires a short delay. The P2P network of this paper was constructed by using an algorithm which utilizes locality and delay information. The implemented P2P streaming system is composed of a Web server and a application, each of which was implemented using Asp.Net and C#.Net respectively.

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On Generalized Integral Operator Based on Salagean Operator

  • Al-Kharsani, Huda Abdullah
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.359-366
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    • 2008
  • Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

Scheme of P2P and P2P-based Collaborative Machine (P2P 개요 및 P2P-based Collaborative Machine의 Scheme)

  • Kim D. H.;Song J. Y.
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.477-482
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    • 2005
  • Recently, client computing trend has been changed from server oriented information application to network based P2P(Peer to Peer) services. The conventional client/server method has the merit of accessing abundant information, on the other side P2P has the merit of synchronized community support and information exchange. P2P has four meaning of point to point, peer to peer, person to person and path to profitability. In manufacturing system field, the second meaning is interested. P2P is classified to three type such as conventional client/server, hybrid P2P and pure P2P. The third is really peer to peer concept. The related technologies with P2P are P2P searching, XML, cooperation, IPv6, computing sharing and P2P communication. This paper describes the scheme of P2P and related contents. And through the P2P based technology, a P2P-based collaborative machine and a vertical portal machine are introduced in this paper. The scheme of the machines mentioned above is suggested for cooperation in manufacturing system and u-Manufacturing.

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