• Title/Summary/Keyword: 함수의 극대.극소

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Dipole과 quadrupole 성분의 변화에 의한 SC 24/25 극소기의 태양 자기장의 예측

  • Kim, Bo-Gyeong;O, Su-Yeon;Lee, Yu
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.128.1-128.1
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    • 2012
  • 최근 태양주기 21, 22, 23을 지나 24주기로 감에 따라 태양활동의 지표인 태양상수, 행성간 자기장, 태양극자기장 등과 같은 여러 태양물리량들이 감소하여 태양 활동이 약화되었고 23/24주기의 극소기가 길어졌다. 태양 자기장의 극성은 대체로 Dipole의 형태로 근사하여 나타나지만 dipole 뿐만 아니라 Quadrupole 등과 같은 다중극의 합으로 나타난다. 본 연구에서는 Wilcox Solar Observatory (WSO)에서 제공하는 21주기부터 23주기 동안의 총 태양 자기장의 구조화 함수 coefficient의 세기, dipole 성분 및 Multipole 성분의 변화를 분석하였다. 분석 결과 최근 23 태양주기 시작 이후로 총 태양 자기장의 세기가 감소하는 추세를 보이며 21, 22주기에 비해 23주기에 multipole 성분 보다 dipole 성분이 더 큰 감소율을 보여 dipole이 약해지고 multipole이 강해진 것을 알 수 있었다. 그러므로 태양활동 변화에 Multipole 성분도 중요한 역할을 한다고 볼 수 있다. 전반적으로 태양활동 극대기에는 dipole의 세력이 약하고 극소기에는 dipole의 세력이 강하게 나타난다. 또한 태양주기 23/24의 극소기일 때, 다중극 성분 중 특히 Quadrupole 성분이 차지하는 비율이 두드러지게 증가하였다. 태양활동 극소기에 23/24주기처럼 태양활동이 더 저조해지면 상대적으로 quadrupole 성분이 증가하게 되는 것으로 여겨진다. 그러므로, 다음 태양주기 24/25의 극소기에는 태양활동이 더 약해져서 Quadrupole 성분이 더욱 두드러지게 증가하게 될 것으로 예측된다.

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A Critical Analysis on an explanation for Monotonicity and Local Extrema of functions in Korean Mathematics Textbooks (우리나라 고등학교 수학 교과서에서 함수의 증감과 극대.극소를 설명하는 방식에 대한 비판적 논의)

  • Kye, Seung-Hyeok;Ha, Kil-Chan
    • The Mathematical Education
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    • v.49 no.2
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    • pp.247-257
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    • 2010
  • In this article an explanation of monotonicity of functions and the definition of local extrema in Korean highschool textbooks based on national curriculum(revised in 2007) are analyzed critically. On the basis of this analysis, we indicate some problems and propose its improvements.

A Novel Code Tracking Scheme in Advanced Correlation Timing Offset Region for Band-Limited DS/SS System (좌부엽 상관간을 이용한 대역 제한된 직접수열 확산대역 시스템의 추적편이 완화 기법)

  • Yoo, Seung-Soo;Jung, Sang-Hyo;Yoon, Seok-Ho;Kim, Sun-Yong
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.71-72
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    • 2007
  • 대역 제한된 DS/SS 시스템의 상관 함수는 최고 값이 나타나는 시점과 함께 이른 또는 늦은 상관시간 옵셋 영역에서 극소 또는 극대로 나타나는 시점을 특징점으로 갖는다. 이 가운데 이른 상관시간옵셋 영역의 상관 함수는 다중경로 신호에 의해 덜 왜곡되기 때문에 이 영역의 상관 함수를 이용해 부호 동기를 추적하여 유지할 수 있다면 EL-DLL (delay lock loop with early minus late discriminator) 보다 추적편이를 줄일 수 있다. 본 논문에 이런 특성을 이용하는 추적편이 완화 기법을 제안하고, 모의실험을 통해 성능을 알아본다.

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Development of mobile, online/offline-linked math learning content to promote group creativity (집단창의성 발현을 위한 모바일, 온/오프라인 연계 수학 학습 콘텐츠 개발)

  • Kim, Bumi
    • Journal of the Korean School Mathematics Society
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    • v.25 no.1
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    • pp.39-60
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    • 2022
  • In this study, in order to support the expression of group creativity of high school students, we developed mathematics learning contents linked with mobile and online/offline that obtain the maximum and minimum values of the function within a limited range. This learning content was developed in connection with the 'environment', a cross-curricular learning topic. We explored the concept of group creativity in school mathematics. Its manifestation process, elements of group creativity expression process, and mobile and on/offline implementation functions were also explored. Then, we developed a hybrid app, 'Making the Best Box that Thinks of the Earth', which can express group creativity through mobile and online/offline-linked cooperative learning. A learning management system (LMS) and a teaching and learning guidance plan were also developed to efficiently operate mobile and online/offline-linked math learning using the app in schools. Our study found that the hybrid app, 'Creating the Best Box that Thinks of the Earth', was suitable for promoting collective fluency and collective sophistication based on complementary-metacognitive interaction.

The Boundary Element Analysis of Waves coming with Oblique Angle to a Submerged Breakwater (잠제에 경사로 입사하는 파랑의 경계요소 해석)

  • Kim, Nam Hyeong;Woo, Su Min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.5B
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    • pp.295-300
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    • 2012
  • Reflection coefficients of wave due to the types of a submerged breakwater on the inclined incident wave are numerically computed by using boundary element method. The analysis method is based on the wave pressure function with the continuity in the analytical region including fluid and structures. When compared with the existing results on the inclined incident wave, the results of this study show good agreement. It is found that both maximum and minimum values of the reflection coefficient are appeared frequently, as the width of a submerged breakwater becomes wider, and the reflection coefficient increase, as the wave period is longer. In addition, the effect on the reflection coefficient due to the change of submerged breakwater hight is lager than that due to the change of submerged breakwater width. The results indicate that dissipating characteristics of wave due to the types of a submerged breakwater own high dependability regarding the change of inclined incident waves. Therefore, the results of this study is estimated to be applied as an accurate numerical analysis referring to inclined incident waves in real sea.

Feature Points Tracking of Digital Image By One-Directional Iterating Layer Snake Model (일방향 순차층위 스네이크 모델에 의한 디지털영상의 특징점 추적)

  • Hwang, Jung-Won;Hwang, Jae-Ho
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.4 s.316
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    • pp.86-92
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    • 2007
  • A discrete dynamic model for tracking feature points in 2D images is developed. Conventional snake approaches deform a contour to lock onto features of interest within an image by finding a minimum of its energy functional, composed of internal and external forces. The neighborhood around center snaxel is a space matrix, typically rectangular. The structure of the model proposed in this paper is a set of connected vertices. Energy model is designed for its local minima to comprise the set of alternative solutions available to active process. Block on tracking is one dimension, line type. Initial starting points are defined to the satisfaction of indent states, which is then automatically modified by an energy minimizing process. The track is influenced by curvature constraints, ascent/descent or upper/lower points. The advantages and effectiveness of this layer approach may also be applied to feature points tracking of digital image whose pixels have one directional properties with high autocorrelation between adjacent data lines, vertically or horizontally. The test image is the ultrasonic carotid artery image of human body, and we have verified its effect on intima/adventitia starting points tracking.

No-reference objective quality assessment of image using blur and blocking metric (블러링과 블록킹 수치를 이용한 영상의 무기준법 객관적 화질 평가)

  • Jeong, Tae-Uk;Kim, Young-Hie;Lee, Chul-Hee
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.3
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    • pp.96-104
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    • 2009
  • In this paper, we propose a no-reference objective Quality assessment metrics of image. The blockiness and blurring of edge areas which are sensitive to the human visual system are modeled as step functions. Blocking and blur metrics are obtained by estimating local visibility of blockiness and edge width, For the blocking metric, horizontal and vertical blocking lines are first determined by accumulating weighted differences of adjacent pixels and then the local visibility of blockiness at the intersection of blocking lines is obtained from the total difference of amplitudes of the 2-D step function which is modelled as a blocking region. The blurred input image is first re-blurred by a Gaussian blur kernel and an edge mask image is generated. In edge blocks, the local edge width is calculated from four directional projections (horizontal, vertical and two diagonal directions) using local extrema positions. In addition, the kurtosis and SSIM are used to compute the blur metric. The final no-reference objective metric is computed after those values are combined using an appropriate function. Experimental results show that the proposed objective metrics are highly correlated to the subjective data.

Distribution of Hydrometeors and Surface Emissivity Derived from Microwave Satellite Observations and Model Reanalyses (위성관측(MSU)과 모델 재분석 자료에서 조사된 대기물현상과 표면 방출율의 분포)

  • Kim, Tae-Yean;Yoo, Jung-Moon
    • Journal of the Korean earth science society
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    • v.23 no.7
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    • pp.552-564
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    • 2002
  • The data of satellite-observed Microwave Sounding Unit (MSU) channel 1 (Ch1) brightness temperature and General Circulation Model (GCM) reanalyses over the globe have been used to investigate low tropospheric hydrometeors and microwave surface emissivity during the period from January 1981 to December 1993. The average of GCM Ch1 temperature has been reconstructed from three kinds of reanalyses, based on the MSU weighting function. Since the GCM temperature mainly corresponds to the thermal state of the lower troposphere without the difference in the emissivity between ocean and land, it is higher in summer than in other seasons over the regions. The MSU temperature over the ocean shows its maximum at the ITCZ and the SPCZ due to hydrometeors. Over high latitude ocean, the temperature is enhanced because of sea ice emissivity, while it is reduced over the land. The seasonal displacement of the ITCZ and the SPCZ systematically appeared in the difference of Ch1 temperature between the GCM and the MSU. The difference values decrease in the regions of the ITCZ, the SPCZ, and the sea ice because of the increase of the MSU temperature. According to the local minima of the values, the ITCZ moves norhward to 9 N in fall, and the SPCZ moves southward to 12 S in boreal fall and winter. The sea ice in the northern hemisphere is extended southward to 53 N in winter, while the ice in the southern hemisphere, northward to 58 S in boreal summer. We also have discussed the separated contribution from hydrometeors and surface emissivity to the MSU Ch1 temperature, utilizing radiative transfer theory. The increase of 4-6K in the temperature over the ITCZ is inferred to result from hydrometeors of 1-1.5mm/day, and furthermore the increase of 10-30K over the high latitude ocean, ice emissivity of 0.6-0.9.