• Title/Summary/Keyword: K-R Curve

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ESTIMATES FOR SCHRÖDINGER MAXIMAL OPERATORSALONG CURVE WITH COMPLEX TIME

  • Niu, Yaoming;Xue, Ying
    • Journal of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.89-111
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    • 2020
  • In the present paper, we give some characterization of the L2 maximal estimate for the operator Pta,γf(Γ(x, t)) along curve with complex time, which is defined by $$P^t_{a,{\gamma}}f({\Gamma}(x,t))={\displaystyle\smashmargin{2}{\int\nolimits_{\mathbb{R}}}}\;e^{i{\Gamma}(x,t){\xi}}e^{it{\mid}{\xi}{\mid}^a}e^{-t^{\gamma}{\mid}{\xi}{\mid}^a}{\hat{f}}({\xi})d{\xi}$$, where t, γ > 0 and a ≥ 2, curve Γ is a function such that Γ : ℝ×[0, 1] → ℝ, and satisfies Hölder's condition of order σ and bilipschitz conditions. The authors extend the results of the Schrödinger type with complex time of Bailey [1] and Cho, Lee and Vargas [3] to Schrödinger operators along the curves.

Security Protocols Based on Elliptic Curve Cryptographic Pairwise Key Setup for Wireless Sensor Networks (무선 센서 네트워크에서 타원 곡선 암호를 이용한 공유키 설정에 기반한 보안 프로토콜)

  • Seo, Seog-Chung;Kim, Hyung-Chan;Ramakrishna, R.S.
    • Proceedings of the Korea Information Processing Society Conference
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    • 2005.11a
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    • pp.873-876
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    • 2005
  • 무선 센서 네트워크 (Wireless Sensor Network)에서 기존에 존재하는 대부분의 보안 프로토콜들은 대칭적인 공유키(symmetric pairwise key) 설정에 기반하고 있다. 그러나 이러한 프로토콜들은 노드 전복 (node compromising), 그리고 과중한 트래픽의 문제점을 안고 있다. 더욱이, 대칭키 방법을 이용한 브로드캐스트 메시지 인증은 자원이 제약된 센서네트워크에서 적용하기에는 너무 복잡하다. 본 논문은 공개키를 이용한 공유키(Pairwise Key) 설정에 기반한 보안 프로토콜들을 제안한다. 특히 경량성을 위하여 타원 곡선 암호 (Ellptic Curve Cryptography)를 채택하였다. 제안 프로토콜은 공유키 설정과 브로드캐스트 메시지 인증을 위하여 각각 Elliptic Curve Diffie-Hellman (ECDH)과 Elliptic Curve Digital Signature Algorithm (ECDSA)를 이용한다. 더욱이, 분산된 rekeying 메커니즘 (decentralized rekeying mechanism)을 도입함으로써 TinySec 의 성능을 향상시킨다.

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Size Selectivity of a Shrimp Beam Trawl for the Southern Rough Shrimp Trachysalambria curvirostris with the Extended SELECT Method (확장 SELECT 방법에 의한 새우조망의 꽃새우(Trachysalambria curvirostris) 망목 선택성)

  • Park, Chang-Doo;Park, Hae-Hoon;Kim, Jung-Nyun
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.44 no.4
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    • pp.390-396
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    • 2011
  • Southern rough shrimp Trachysalambria curvirostris is exploited mainly by small shrimp beam trawl in coastal regions of Korea. To determine the size selectivity of a shrimp beam trawl for this species, a series of comparative fishing experiments was conducted in the sea adjacent to Geoje Island off the southern cost of Korea in June and November, 2010, using codends with four different mesh sizes(14.2, 17.8, 25.5, and 35.3 mm). The extended Share Each Length's Catch Total(SELECT) analysis method, based on a multinomial distribution, was applied to the fishing data to obtain a master selection curve. The model with the estimated split parameters fit the catch data best. The master selection curve was estimated to be: s(R)=exp(15.183R-7.872)/[1+exp(15.183R-7.872)], where the relative carapace length, R, is the ratio of carapace length to mesh size. The relative carapace length for 50% retention was 0.518, and the selection range was 0.145. The results suggest that codends with a larger mesh size allow more small-sized shrimps to escape.

Visualization of High Speed fracture Behavior in Y-TZP by using Mechano-luminescence (압광 재료를 이용한 구조용 Y-TZP 소재의 고속 파괴현상 가시화 연구)

  • Kim, J.S.;Sohn, K.S.
    • Transactions of Materials Processing
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    • v.16 no.5 s.95
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    • pp.348-353
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    • 2007
  • The propagation of a macro-scale crack and the accompanying transformation zone around it was visualized in an Y-TZP ceramic using a mechano-luminescence (ML) technique. The technique allows realistic fractures that take place catastrophically in actual applications to be realistically stimulated. Unlike conventional quasi-static R-curves, the ML technique on a relatively fast time frame permitted a so-called quasi-dynamic R-curve in the crack speed range from 50 to 140 m/sec. to be measured. Effective toughening then commenced and the applied stress intensity factor increased to 27 $MPa{\sqrt{m}}$. The transformation zone height obtained from the ML observations was in good agreement with that predicted by the Marshall model, and coincided with previously observed results for quasi-static conditions by Raman spectorscopy and x-ray analysis.

Ductile Fracture Behavior of AS4P Under Mixed Mode (I/II) Loading

  • Oh, Dong-Joon
    • Journal of Mechanical Science and Technology
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    • v.16 no.4
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    • pp.476-484
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    • 2002
  • The aim of this study is to investigate the ductile fracture behavior under mixed mode (I/II) loading using SA533B pressure vessel steel. Anti-symmetric 4-point (AS4P) bending tests were performed to obtain the J-R curves under two different mixed mode (I/II) loadings. In addition, finite element analysis using Rousselier Ductile Damage Theory was carried out to predict the J-R curves under mixed mode (I/II) loadings. In conclusions, the J-R curves under. Mixed Mode (I/II) loading were located between those of Mode I and Mode II loading. When the mixity of mixed mode (I/II) loading was high, the J-R curve of mixed mode (I/II) loading approached that of pure mode I loading after some amount of crack propagation. In contrast with the above fact, if the mixity was low, the J-R curve took after that of pure mode II loading. Finally, it was found that the predicted J-R curves made a good agreement with the test data through the tuning procedures of $\beta$ values at the different mixed mode (I/II) loading.

R-Curve Behavior and Mechanical Properties of Al2O3 Composites Containing SiC and TiC Particles (SiC와 TiC 입자를 함유하는 Al2O3 입자복합체의 균열저항거동과 기계적 성질)

  • Na, Sang-Woong;Lee, Jae-Hyung
    • Journal of the Korean Ceramic Society
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    • v.39 no.4
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    • pp.413-419
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    • 2002
  • Particulate composites of $Al_2O_3$/TiC/SiC, $Al_2O_3$/TiC and $Al_2O_3$/SiC have been fabricated by hot pressing and their R-curve behaviors and mechanical properties were investigated. $Al_2O_3$ containing 30 vol% TiC particles showed higher toughness by 8% than that for monolithic alumina and its fracture strength was increased significantly by approximately 30%. On the other hand, the addition of 30 vol% SiC of $3{\mu}m$ in $Al_2O_3$ decreased the fracture strength slightly but induced a rising R-curve behavior owing to the strong crack bridging of SiC particles. In case of $Al_2O_3$/TiC/SiC, arising R-curve behavior was also observed and the fracture toughness reached 6.6 MPa${\cdot}\sqrt{m}$ at the crack length of $1000{\mu}m$, which was lower than that of $Al_2O_3$/SiC, however, while the fracture strength was higher by about 20%. The fracture toughness seemed to be decreased as smaller TiC particles roughened the SiC interface and pullout of the SiC particles for crack bridging became less active.

ANALYSIS OF THE LiF:Mg,Cu,Si TL AND THE LiF:Mg,Cu,P TL GLOW CURVES BY USING GENERAL APPROXIMATION PLUS MODEL

  • Chang, In-Su;Lee, Jung-Il;Kim, Jang-Lyul;Oh, Mi-Ae;Chung, Ki-Soo
    • Journal of Radiation Protection and Research
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    • v.34 no.4
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    • pp.155-164
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    • 2009
  • In this paper, we used computerized glow curve deconvolution (CGCD) software with several models for the simulation of a TL glow curve which was used for analysis. By using the general approximation plus model, parameters values of the glow curve were analyzed and compared with the other models parameters (general approximation, mixed order kinetics, general order kinetics). The LiF:Mg,Cu,Si and the LiF:Mg,Cu,P material were used for the glow curve analysis. And we based on figure of merits (FOM) which was the goodness of the fitting that was monitored through the value between analysis model and TLD materials. The ideal value of FOM is 0 which represents a perfect fit. The main glow peak makes the most effect of radiation dose assessment of TLD materials. The main peak of the LiF:Mg,Cu,Si materials has a intensity rate 80.76% of the whole TL glow intensity, and that of LiF:Mg,Cu,P materials has a intensity rate 68.07% of the whole TL glow intensity. The activation energy of LiF:Mg,Cu,Si was analyzed as 2.39 eV by result of the general approximation plus(GAP) model. In the case of mixed order kinetics (MOK), the activation energy was analyzed as 2.29 eV. The activation energy was analyzed as 2.38 eV by the general order kinetics (GOK) model. In the case of LiF:Mg,Cu,P TLD, the activation energy was analyzed as 2.39 eV by result of the GAP model. In the case of MOK, the activation energy was analyzed as 2.55 eV. The activation energy was analyzed as 2.51 eV by the GOK model. The R value means different ratio of retrapping-recombination. The R value of LiF:Mg,Cu,Si TLD main peak analyzed as $1.12\times10^{-6}$ and $\alpha$ value analyzed as $1.0\times10^{-3}$. The R of LiF:Mg,Cu,P TLD analyzed as $7.91\times10^{-4}$, the $\alpha$ value means different ratio of initial thermally trapped electron density-initial trapped electron density (include thermally disconnected trap electrons density). The $\alpha$ value was analyzed as $9.17\times10^{-1}$ which was the difference from LiF:Mg,Cu,Si TLD. The deep trap electron density of LiF:Mg,Cu,Si was higher than the deep trap electron density of LiF:Mg,Cu,P.

PHOTOMETRIC STUDY OF NPA ROTATOR (5247) KRYLOV

  • Lee, Hee-Jae;Moon, Hong-Kyu;Kim, Myung-Jin;Kim, Chun-Hwey;Durech, Josef;Choi, Young-Jun;Oh, Young-Seok;Park, Jintae;Roh, Dong-Goo;Yim, Hong-Suh;Cha, Sang-Mok;Lee, Yongseok
    • Journal of The Korean Astronomical Society
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    • v.50 no.3
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    • pp.41-49
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    • 2017
  • We conduct BVRI and R band photometric observations of asteroid (5247) Krylov from January 2016 to April 2016 for 51 nights using the Korea Microlensing Telescope Network (KMTNet). The color indices of (5247) Krylov at the light curve maxima are determined as $B-V=0.841{\pm}0.035$, $V-R=0.418{\pm}0.031$, and $V-I=0.871{\pm}0.031$ where the phase angle is $14.1^{\circ}$. They are acquired after the standardization of BVRI instrumental measurements using the ensemble normalization technique. Based on the color indices, (5247) Krylov is classified as a S-type asteroid. Double periods, that is, a primary period $P_1=82.188{\pm}0.013h$ and a secondary period $P_2=67.13{\pm}0.20h$ are identified from period searches of its R band light curve. The light curve phases with $P_1$ and this indicate that it is a typical Non-Principal Axis (NPA) asteroid. We discuss the possible causes of its NPA rotation.

The Safety Evaluation of Expressway Geometries by Cross-sectional Analysis Techniques (횡단면 분석기법을 적용한 고속도로 기하구조 안전성 평가)

  • Seo, Im-Ki;Choi, Jong-Tae;Park, Je-Jin;Park, Shin-Hyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.2
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    • pp.417-426
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    • 2015
  • The representative design elements of the road geometric structure are longitudinal slope, horizontal curve radius, super elevation, and transition curve. According to the function of a road, the design standards of these elements is applied by diverse combinations of them. This study divided expressway into homogeneous segments based on longitudinal slope and horizontal curve radius. And then, data required for analysis were matched to each segment, and the safety performance function was built by using the established data. crash modification factors which can explain traffic accident exposure rate were calculated. When the threshold value of horizontal curve radius R=1,000 m was set to 1.0, the crash modification factors at R=300 m was calculated as 1.33, which means that the accident exposure rate is increased by 33%. When the threshold value of the longitudinal slope 0% was set to 1.0, the crash modification factors demonstrated that the accident exposure rate decreases on the upward slope and the accident exposure rate increases on the downward slope. The results of this study can be used as basic information in the design of expressway geometries during the improvement or the construction of expressways.

Observation of transiting exoplanet TrES-2b at Maidanak Observatory in Uzbekistan

  • Yang, Yun-A;Lee, Sang-Gak;Kang, Won-Seok
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.1
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    • pp.28.1-28.1
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    • 2011
  • We observed the transiting exoplanet, TrES-2b, with 1.5m telescope at Maidanak Observatory in Uzbekistan. We observed TrES-2 system for six nights, which contained two orbital periods of the planet. Therefore, we obtained the entire light curve of TrES-2b, which covered not only the whole primary transit containing both ingress and egress part, but also non-transit region. We used both R and Y band filters. Especially, Y filter is used first for transit observation and covers relatively longer wavelength ($1.02{\mu}m$ of center wavelength), to provide the light curve less affected by limb darkening. By fitting best model light curve for the obtained one, we determined these observables, transit depth, transit length, and planet's orbital period, which led to the determination of five physical parameters, stellar radius R*, stellar mass M*, inclination i, semi-major axis a, and planetary radius Rp. We will discuss of these results.

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