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SHARP Lp→Lr ESTIMATES OF RESTRICTED AVERAGING OPERATORS OVER CURVES ON PLANES IN FINITE FIELDS

  • Koh, Doowon
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.2
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    • pp.251-259
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    • 2015
  • Let $\mathbb{F}^d_q$ be a d-dimensional vector space over a finite field $\mathbb{F}^d_q$ with q elements. We endow the space $\mathbb{F}^d_q$ with a normalized counting measure dx. Let ${\sigma}$ be a normalized surface measure on an algebraic variety V contained in the space ($\mathbb{F}^d_q$, dx). We define the restricted averaging operator AV by $A_Vf(X)=f*{\sigma}(x)$ for $x{\in}V$, where $f:(\mathbb{F}^d_q,dx){\rightarrow}\mathbb{C}$: In this paper, we initially investigate $L^p{\rightarrow}L^r$ estimates of the restricted averaging operator AV. As a main result, we obtain the optimal results on this problem in the case when the varieties V are any nondegenerate algebraic curves in two dimensional vector spaces over finite fields. The Fourier restriction estimates for curves on $\mathbb{F}^2_q$ play a crucial role in proving our results.

Realization of a two dimensional Haptic Interfacing Apparatus for Virtual Object Recognition Experiments (가상물체 인식 실험을 위한 2차원 Haptic 인터페이스 장치의 구현)

  • Lee, Joon-Cheol;Jang, Tae-Jeong
    • Journal of Industrial Technology
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    • v.19
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    • pp.415-421
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    • 1999
  • In this paper, a 2D X-Y table, two axes of which are symmetrical, and a force sensing device are constructed, which comprise a 2D haptic interfacing apparatus. Two DC motors are used for actuating the two axes of the table and two precision encoders for sensing the position of each axis. Four PZTs are used for sensing the direction and the magnitude of the 2D force applied to the force sensing device by the user. The performance of the 2D haptic interface device is tested by 2D virtual object recognition experiments.

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A Study on the Magneto-optical Properties and Application of Diluted Magnetic Semiconductor Cd1-xMnxTe (묽은 자성 반도체 Cd1-xMnxTe의 자기 광학적 특성과 응용성 연구)

  • Hwang, Young-Hun;Um, Young-Ho;Cho, Sung-Lae
    • Journal of the Korean Magnetics Society
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    • v.19 no.5
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    • pp.186-190
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    • 2009
  • We investigated the magneto-optical properties and application of diluted magnetic semiconductors Cd$_{1-x}$Mn$_x$Te crystals with various Mn contents grown using a vertical Bridgman method. This material crystallizes in the zinc-blende structure for values of x < 0.82. The band-gap energy was depended on Mn mole fraction x linearly and increased with decreasing temperature. The Faraday rotation was increased as the photon energy increased near to that of the fundamental band gap and its increased with increasing Mn mole fraction. Optical isolator using the Cd$_{0.62}$Mn$_{0.38}$Te crystal shows that the isolation and insertion loss are 45 dB and 0.35 dB at 650 nm, respectively.

Automated 2D/3D Image Matching Technique with Dual X-ray Images for Estimation of 3D In Vivo Knee Kinematics

  • Kim, Yoon-Hyuk;Phong, Le Dinh;Kim, Kyung-Soo;Kim, Tae-Seong
    • Journal of Biomedical Engineering Research
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    • v.29 no.6
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    • pp.431-435
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    • 2008
  • Quantitative information of a three dimensional(3D) kinematics of joint is very useful in knee joint surgery, understanding how knee kinematics related to joint injury, impairment, surgical treatment, and rehabilitation. In this paper, an automated 2D/3D image matching technique was developed to estimate the 3D in vivo knee kinematics using dual X-ray images. First, a 3D geometric model of the knee was reconstructed from CT scan data. The 3D in vivo position and orientation of femoral and tibial components of the knee joint could be estimated by minimizing the pixel by pixel difference between the projection images from the developed 3D model and the given X-ray images. The accuracy of the developed technique was validated by an experiment with a cubic phantom. The present 2D/3D image matching technique for the estimation of in vivo joint kinematics could be useful for pre-operative planning as well as post-operative evaluation of knee surgery.

THE COMPUTATION METHOD OF THE MILNOR NUMBER OF HYPERSURFACE SINGULARITIES DEFINED BY AN IRREDUCIBLE WEIERSTRASS POLYNOMIAL $z^n$+a(x,y)z+b(x,y)=0 in $C^3$ AND ITS APPLICATION

  • Kang, Chung-Hyuk
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.169-173
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    • 1989
  • Let V={(x,y,z):f=z$^{n}$ -npz+(n-1)q=0 for n .geq. 3} be a compled analytic subvariety of a polydisc in $C^{3}$ where p=p(x,y) and q=q(x,y) are holomorphic near (x,y)=(0,0) and f is an irreducible Weierstrass polynomial in z of multiplicity n. Suppose that V has an isolated singular point at the origin. Recall that the z-discriminant of f is D(f)=c(p$^{n}$ -q$^{n-1}$) for some number c. Suppose that D(f) is square-free. then we prove that by Theorem 2.1 .mu.(p$^{n}$ -q$^{n-1}$)=.mu.(f)-(n-1)+n(n-2)I(p,q)+1 where .mu.(f), .mu. p$^{n}$ -q$^{n-1}$are the corresponding Milnor numbers of f, p$^{n}$ -q$^{n-1}$, respectively and I(p,q) is the intersection number of p and q at the origin. By one of applications suppose that W$_{t}$ ={(x,y,z):g$_{t}$ =z$^{n}$ -np$_{t}$ $^{n-1}$z+(n-1)q$_{t}$ $^{n-1}$=0} is a smooth family of complex analytic varieties near t=0 each of which has an isolated singularity at the origin, satisfying that the z-discriminant of g$_{t}$ , that is, D(g$_{t}$ ) is square-free. If .mu.(g$_{t}$ ) are constant near t=0, then we prove that the family of plane curves, D(g$_{t}$ ) are equisingular and also D(f$_{t}$ ) are equisingular near t=0 where f$_{t}$ =z$^{n}$ -np$_{t}$ z+(n-1)q$_{t}$ =0.}$ =0.

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A Study on the Risk Analysis and Fail-safe Verification of Autonomous Vehicles Using V2X Based on Intersection Scenarios (교차로 시나리오 기반 V2X를 활용한 자율주행차량의 위험성 분석 및 고장안전성 검증 연구)

  • Baek, Yunseok;Shin, Seong-Geun;Park, Jong-ki;Lee, Hyuck-Kee;Eom, Sung-wook;Cho, Seong-woo;Shin, Jae-kon
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.20 no.6
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    • pp.299-312
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    • 2021
  • Autonomous vehicles using V2X can drive safely information on areas outside the sensor coverage of autonomous vehicles conventional autonomous vehicles. As V2X technology has emerged as a key component of autonomous vehicles, research on V2X security is actively underway research on risk analysis due to failure of V2X communication is insufficient. In this paper, the service scenario and function of autonomous driving system V2X were derived by presenting the intersection scenario of the autonomous vehicle, the malfunction was defined by analyzing the hazard of V2X. he ISO26262 Part3 process was used to analyze the risk of malfunction of autonomous vehicle V2X. In addition, a fault injection scenario was presented to verify the fail-safe of the simulation-based intersection scenario.

Color Factor Analysis of in Farnsworth Test Panel D-15 (색각 검사용 Farnsworth Test Panel D-15의 칼라 인자 연구)

  • Kim, Yong-Geun;Park, Sang-An
    • Journal of Korean Ophthalmic Optics Society
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    • v.5 no.1
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    • pp.31-37
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    • 2000
  • In order to color analyze of in Farnsworth Test Panel D-15 using a Protan, Deutan and Tritan test, we introduced the CIE system so that measured the reflectance light spectrum intensity in the 380~780 nm wavelength regions. The color difference of Panel D-15 was depended on the intensity of reflectance ratio in the 400~450 nm, 500~600 nm and more than 650 nm wavelength regions. From the reflectance spectra, we obtained the tristimulus X, Y, Z values, the $L^*a^*b^*$ and $L^*ab$ values of the 3-Dimension CIELAB system in a complement plane and light-darkness axis, the $U^*V^*$ values and the x, y values of chromaticity coordinates.

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Design of Miniaturized Multi-layer BPFs Using LTCC for Wireless LAN Applications (LTCC를 이용한 WLAN용 초소형 적층 대역통과 필터 설계)

  • Park, Hun;Kim, Kuen-Hwan;Yoon, Kyung-Sik;Lee, Young-Chul;Park, Chul-Soon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.7A
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    • pp.563-568
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    • 2003
  • In this paper, a miniaturized parallel coupled bandpass filter using multi-layered LTCC(Low Temperature Co-fired Ceramics) substrate for SOP(System-On-Package) is proposed for applications to wireless communication systems. The fabricated BPF is composed of five 106${\mu}{\textrm}{m}$ thick LTCC layers and its size is 5.24mm x 4.3mm x 0.53 mm. The measured characteristics of the BPF show the center frequency of 5.8GHz, bandwidth of 200MHz, insertion loss of 2.326dB and return loss of 13.679dB. In addition, the attenuation is 28.052dB at 4.7GHz.

Evaluaton of Corrosion-resistant Alloys for Safety Metal Filter of IGCC System (석탄가스 정제를 위한 safety filter 제작용 내식 합금의 평가)

  • 박영철;최주홍
    • Journal of Energy Engineering
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    • v.10 no.2
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    • pp.132-139
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    • 2001
  • 석탄가스화 복합발전의 집진 공정에 사용하기 위한 금속제 safety filter의 재질 선정을 위하여 황화수소 가스 분위기에서 합금강의 부식 특성을 규명하였다. 사용 합금강은 SUS 310, SUS 316, Inconel 600과 Hastelloy X이다. 전기로 내에 설치된 지름 50mm의 qualtz 튜브 반응기에서 부식실험이 행하여졌다. 40$0^{\circ}C$부터 $700^{\circ}C$까지의 등은 조건에서 실험이 행하여졌고, 분위기 가스의 영향을 보기 위하여 H$_2$S 가스를 함유한 $N_2$(dry), $N_2$(saturation), $CO_2$(dry), 그리고 석탄가스 분위기에서 실험하였다. 부식 생성물을 파악하기 위하여 X-ray 회절기와 주사전자현미경 분석이 함께 이루어졌다. 1.7% H$_2$S, $600^{\circ}C$ 이하 온도 조건에서는 니켈계 내식강 중 Hastelloy X와 철계 내식강 중 SUS 310 등 고크롬 합금강이 IGCC 용 필터 소재 금속으로서 높은 내부식성을 나타내었다. 0.3%~4.99% 황화수소 농도 범위에서 황화수소 농도 변화에 따라서 SUS 310의 경우 3~237mg/d$m^2$.day, Inconel 600의 경우 4~660mg/d$m^2$.day로 부식속도는 크게 증가되었다. 50$0^{\circ}C$, 석탄가스 분위기에서 부식속도는 SUS 310은 45mg/d$m^2$.day, SUS 316은 110mg/d$m^2$.day, Inconel 600은 576mg/d$m^2$.day, 그리고 Hastelloy X 는 140mg/d$m^2$.day로서 합금강 시편 중 SUS 310 합금강이 가장 우수한 내식성을 나타내었다. 부식 표면에는 황화니켈, 황화철 피막이 형성되었다.

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A Study on the Design and Fabrication of X-band Dielectric Resonator Oscillator using Phase Looked Loop (위상고정 회로를 이용한 X-band DRO 설계 및 제작에 관한 연구)

  • 성혁제;손병문;최근석
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.5
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    • pp.715-722
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    • 2000
  • In this paper, the PLDRO is designed and implemented for X-band. It is comprised of tunable high Q resonator with a varactor diode for frequency tuning, loop filter and a 1/8 prescaler which up to 10GHz. Also, it is implemented a TCXO and a VCO signal into the phase detector and achieved a highly stable signal source. From the measurement, the designed PLDRO has the output power of 2.5dBm at 8GHz and phase noise of -64.33dBc at 10KHz offset from carrier. Its characteristic is 26 dBc. This PLDRO has much better temperature stability.

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