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A Study on the Nature of the Negative Numbers and the Teaching of Them by Formative Approach (음수의 본질과 형식적 접근에 의한 음수지도에 관한 고찰)

  • 최병철;우정호
    • School Mathematics
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    • v.4 no.2
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    • pp.205-222
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    • 2002
  • In school mathematics, the negative numbers have been instructed using the intuitive models such as the number line model, the counting model, and inductive-extrapolation on the additionand multiplication and using inverse operation on the subtraction and division. Theseinstructions on the negative numbers did not present their formal nature and caused the difficulty for students to understand their operations because of the incomplete function of the intuitive models. In this study, we tried to improve such problems of the instructions of the negative numbers on the basis of the didactical phenomenological analysis. First of all, we analysed the nature of the negative numbers and the cognitive obstructions through the examination about the historic process of them. Second, we examined hew the nature of the negative numbers were analysed and described in mathematics. Third, we explored the improving directions for them on the ground of the didactical phenomenological analysis. In school mathematics, the rules of operations using the intuitive models of the negative numbers have been Instructed rather than approaching toward the nature of them. The negative numbers have been developed from the necessity to find the general solution of equations. The study tries to approach the operations instructions of the negative numbers formative]y to overcome the problems of those that are using the intuitive models and to reflect the formative Furthermore of the negative numbers. Furthermore, we examine the way of the instruction of the negative numbers in real context so that the algebraic feature and the real context should be Interactive.

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A People Counting Technique for Video Surveillance and Monitoring(VSAM) Systems (비디오에 의한 감시 및 관측(VSAM) 시스템을 위한 사람의 계수기법)

  • Do, Yong-Tae
    • Journal of Sensor Science and Technology
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    • v.11 no.1
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    • pp.28-38
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    • 2002
  • People are important targets for video surveillance and monitoring(VSAM) but difficult to be analyzed. In this paper, a technique to count people in image sequences is dealt as a prerequisite procedure for automatic tracking and behaviour analysis. A group of people is divided at local minima of the line connecting the highest pixels on the binary image of the people extracted from the image taken by a stationary video camera. As the properties of the divided regions vary according to the relative positions of the people in a group, different states are assigned for the completely occluded, partially occluded, completed separated individual, and wrongly divided regions. By analyzing the transition of the states of divided regions, the number of people on the site monitored is estimated. The technique is checked in real experimental situations.

Speckle Reduction in Near-field Image of Multimode Fiber with a Piezoelectric Transducer

  • Ha, Woo-Sung;Lee, Se-Jin;Oh, Kyung-Hwan;Jung, Yong-Min;Kim, Jun-Ki
    • Journal of the Optical Society of Korea
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    • v.12 no.3
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    • pp.126-130
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    • 2008
  • We propose and experimentally demonstrate an effective method to reduce near-field speckle noise at the output of a 50 ${\mu}m$ graded index multimode fiber using a short cylindrical piezoelectric transducer(PZT) vibrating in the radial direction. The fiber was coiled as tightly as possible around the mandrel of the PZT and a periodic stretching effect was caused by the radial oscillations of the actuator. The output of the optical fiber using the He-Ne laser source was intensively observed by a CCD camera. By counting all the pixels corresponding to relative intensity graded into 256 levels in the selected area and by calculating standard deviation and mean value of the intensity, we could measure the speckle contrast and vibration effect quantitatively with reduction ratio of pixels and line profile of the illuminated region. It was clearly observed that the characteristics of the speckle pattern in the vibration-on state were significantly improved over that of the vibration-off state due to time-averaged smoothing.

A Study on 3G Networked Pulse Measurement System Using Optical Sensor (3G 네트워크 기반 광센서를 이용한 맥박측정시스템에 관한 연구)

  • Bae, Sung-Hwan;Lim, Ik-Hyun
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.6
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    • pp.1555-1560
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    • 2012
  • Recently, it has been increasing attention on health care that can provide remote medical service to an aging population, people with disabilities and people having a medical checkup periodically due to increasing people's average life span. Home health care system should provide reasonable cost, on-line basic health status monitoring, embedded basic medical helper function and intuitive interface. In this paper, we developed a prototype of 3G networked pulse measurement system that can detect pulse signal information from subject's fingertip using the optical sensor. The prototype had been analyzed in terms of abnormalities, feeling, timing and pulse counting accuracy. Finally we evaluated its suitability.

A 500 MHz-to-1.2 GHz Reset Free Delay Locked Loop for Memory Controller with Hysteresis Coarse Lock Detector

  • Chi, Han-Kyu;Hwang, Moon-Sang;Yoo, Byoung-Joo;Choe, Won-Jun;Kim, Tae-Ho;Moon, Yong-Sam;Jeong, Deog-Kyoon
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.11 no.2
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    • pp.73-79
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    • 2011
  • This paper describes a reset-free delay-locked loop (DLL) for a memory controller application, with the aid of a hysteresis coarse lock detector. The coarse lock loop in the proposed DLL adjusts the delay between input and output clock within the pull-in range of the main loop phase detector. In addition, it monitors the main loop's lock status by dividing the input clock and counting its multiphase edges. Moreover, by using hysteresis, it controls the coarse lock range, thus reduces jitter. The proposed DLL neither suffers from harmonic lock and stuck problems nor needs an external reset or start-up signal. In a 0.13-${\mu}m$ CMOS process, post-layout simulation demonstrates that, even with a switching supply noise, the peak-to-peak jitter is less than 30 ps over the operating range of 500-1200 MHz. It occupies 0.04 $mm^2$ and dissipates 16.6 mW at 1.2 GHz.

Image-Based Traffic Measurement Using Counting Line on the Road (차량 계수선 설치에 의한 영상기반 교통량 측정)

  • Lee, Wang-Hee;Park, Jin-Hee;Kim, Hong-Gab;Kim, Hyong-Suk
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.2938-2940
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    • 1999
  • 도로 색과 대비를 이루는 계수선을 도로위에 그려놓고 영상을 이용하여 통과 차량을 계수 하는 영상기반 교통량 측정 기술을 제안하였다. 기존의 컴퓨터 영상을 이용한 차량 계수 장치들은 대부분 도로와 차량의 gray level차이를 이용하는 방식이기 때문에 도로와 차량간의 구분이 쉽지 않고 그림자와 차량의 식별도 어려우며 조명에 의해 착오를 일으키기 쉬운 문제를 안고 있었다. 제안한 계수방법은 도로 위에 도로 색과 뚜렷한 대비를 이루는 띠를 도로를 가로질러 그려 놓은 다음 이를 통과하는 차량에 의해 띠의 형상이 절단되는지의 여부를 판단하여 차량을 계수 하는 방법이다. 이를 위해서 계수선을 포함하는 영상의 창을 설치하고 수시로 에지를 추출한 후, 에지의 절단 여부를 검사한다. 이때 계수선의 색과 동일한 차량이 통과할 경우에는 계수선의 에지는 절단되어 도로방향으로 연장되게 되며 계수선의 색과 다른 차량인 경우에는 계수선의 에지가 계수선의 내부로 연장되게 된다. 계수선 상에 그림자가 있는 경우에도 도로와 계수선 간의 색상변화가 뚜렷하므로 계수선의 에지 검출에는 영향을 받지 않게 된다. 제안한 알고리즘을 실험실에 설치된 모형도로와 모형 차량들을 이용하여 실험하고 결과를 제시하였다.

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A Study on the Riser Fatigue Analysis Using a Quarter-modal Spectrum (사봉형 스펙트럼을 이용한 라이저 피로해석 연구)

  • Kim, Sang Woo;Lee, Seung Jae;Choi, Sol Mi
    • Journal of the Society of Naval Architects of Korea
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    • v.53 no.6
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    • pp.514-520
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    • 2016
  • Oil and gas production riser systems need to be designed considering a wide band quarter-modal analysis which contains low-, wave-, VIV(Vortex induced vibration) frequencies. The VIV can be separated into cross-flow(CF) and in-line(IL) components. In this study, the various idealized tri- and quarter-modal spectra are suggested to analyze fatigue damage on the production riser system. In order to evaluate the fatigue damage increment caused by the IL's motion, tri- and quarter-modal spectral fatigue damages are calculated in time domain. And the fatigue damage calculated from two different modal spectra are compared quantitatively. Then the suitability of existent wide band fatigue damage models for quarter modal spectrum was evaluated by comparison of frequency domain calculation and time domain calculation. The result show that although spectral density of IL motion is not remarkable in quantity, the effect on the fatigue damage is significant and existent fatigue damage models are not adequately estimating damage by quarter-modal spectra.

Comparison of knife-edge and multi-slit camera for proton beam range verification by Monte Carlo simulation

  • Park, Jong Hoon;Kim, Sung Hun;Ku, Youngmo;Lee, Hyun Su;Kim, Chan Hyeong;Shin, Dong Ho;Jeong, Jong Hwi
    • Nuclear Engineering and Technology
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    • v.51 no.2
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    • pp.533-538
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    • 2019
  • The mechanical-collimation imaging is the most mature technology in prompt gamma (PG) imaging which is considered the most promising technology for beam range verification in proton therapy. The purpose of the present study is to compare the performances of two mechanical-collimation PG cameras, knife-edge (KE) camera and multi-slit (MS) camera. For this, the PG cameras were modeled by Geant4 Monte Carlo code, and the performances of the cameras were compared for imaginary point and line sources and for proton beams incident on a cylindrical PMMA phantom. From the simulation results, the KE camera was found to show higher counting efficiency than the MS camera, being able to estimate the beam range even for $10^7$ protons. Our results, however, confirmed that in order to estimate the beam range correctly, the KE camera should be aligned, at least approximately, to the location of the proton beam range. The MS camera was found to show lower efficiency, being able to estimate the beam range correctly only when the number of the protons is at least $10^8$. For enough number of protons, however, the MS camera estimated the beam range correctly, errors being less than 1.2 mm, regardless of the location of the camera.

Application of GTH-like algorithm to Markov modulated Brownian motion with jumps

  • Hong, Sung-Chul;Ahn, Soohan
    • Communications for Statistical Applications and Methods
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    • v.28 no.5
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    • pp.477-491
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    • 2021
  • The Markov modulated Brownian motion is a substantial generalization of the classical Brownian Motion. On the other hand, the Markovian arrival process (MAP) is a point process whose family is dense for any stochastic point process and is used to approximate complex stochastic counting processes. In this paper, we consider a superposition of the Markov modulated Brownian motion (MMBM) and the Markovian arrival process of jumps which are distributed as the bilateral ph-type distribution, the class of which is also dense in the space of distribution functions defined on the whole real line. In the model, we assume that the inter-arrival times of the MAP depend on the underlying Markov process of the MMBM. One of the subjects of this paper is introducing how to obtain the first passage probabilities of the superposed process using a stochastic doubling algorithm designed for getting the minimal solution of a nonsymmetric algebraic Riccatti equation. The other is to provide eigenvalue and eigenvector results on the superposed process to make it possible to apply the GTH-like algorithm, which improves the accuracy of the doubling algorithm.

Motional kinematics of Frozen-thawed Korean native cattle semen use of computer aided semen analysis(CASA) system (컴퓨터 정액자동분석에 의한 동결융해 한우 정액의 운동특성 연구)

  • Lee, Kang-nam;Lee, Byeong-chun;Kim, Jung-tae;Park, Jong-im;Shin, Tae-young;Hwang, Woo-suk
    • Korean Journal of Veterinary Research
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    • v.38 no.4
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    • pp.898-908
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    • 1998
  • The aim of this experiments were to assess the time-interval change of motional characteristics in frozen-thawed semen of Korean native cattle (KNC) by using computer aided semen analysis (CASA) technology. Twenty-six KNC frozen semen straws were obtained from Korean KNC improvement department, livestock improvement main division, national livestock cooperatives federation in Korea. Specimens were allowed to thaw at $37^{\circ}C$ for 30 sec in water bath. Semen analysis was performed on semen image analysis system (SIAS, Medical supply, Korea) adjusted to the gate settings and used the semen droplet ($5{\mu}l$) placed on Makler counting chamber (Sefi medical instrument, Israel) prewarmed at $37^{\circ}C$. The same person used the same micropipette to fill the Makler counting chamber. A total of 150 or more of sperms were analysed in each specimen by a single trained person by scanning at least 5 to 10 fields. The measurement parameters in SIAS were as follows ; frame rate = 30 frames per sec, image capture = 1 sec, minimum motile speed = $10{\mu}m/s$, maximum countable sperm number = 400. Statistical analysis was done by Student t-test with use of the Sigma plot program on a IBM personal computer. The dancemean(DNM) and hyperactivated sperm(HYP) of frozen-thawed KNC semen kinematics were significantly decreased(p < 0.05) after 10 min of incubation at $37^{\circ}C$ water bath. But, wobble(WOB) of same sample semen was significantly increased(p < 0.05) after 10 min of incubation and significantly decrease(p < 0.05) after 60 min of same incubation. And, after 30 mim of incubation, significantly differences were found most of motion kinematics, motifity(MOT), curvilinear velocity(VCL), straight line velocity(VSL), average path velocity(VAP), amplitude of lateral head displacement(ALH), beat cross frequency(BCF), mean angular displacement(MAD), dance(DNC), on same sample semen. The DNM of KNC semen sample was variable kinematics after 30 min of incubation. Also, the linearity(LIN) and straightness(STR) was significantly decreased(p < 0.05) from 60 min of incubation. In conclusion, the AI within 30 min after thawing of frozen semen can be an effective method for obtaining high fertility rate in KNC reproductive program.

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