• Title/Summary/Keyword: 정적분

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일차함수와 이차함수의 이해

  • Park, Je-Nam;Yang, Hui-Jeong
    • Communications of Mathematical Education
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    • v.8
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    • pp.287-301
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    • 1999
  • 방과후 수학수업이나 현행 수학능력시험 후 고3학생의 수학지도는 그 방법과 목적이 기존의 수학교과의 내용과 운영방식과는 차별화 되야 한다. 특히 교사는 이에 대한 인식과 필요한 지식이 증대 되야 하며, 교내 방과후 영재반 또는 수학관련 동아리에서 사용할 주제의 선정과 교수법이 개발되어야한다. 주제선정은 대수, 해석영역에서 연계성이 강하게 나타나는 것이 바람직하며, 수학교육의 목표에 실질적으로 부합되어야한다. 본 논문에서 우리는 일${\cdot}$이차 다항식을 예로 제시하고자 한다. 다항식은 중학교 수학교과에서 인수분해와 전개의 대상이고 고교과정에선 접선이나 정적분의 대상이다. 우리는 일${\cdot}$이차다항식을 미분, 적분, 행렬, 그리고 벡터의 입장에서 근사(approximation)의 주체로 다루었다.

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solution of ambiguity in Static Slicing of C# Programs (C#프로그램의 정적 분할에서의 모호성 해결)

  • 강성관;고훈준;김기태;조선문;유원희
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.10a
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    • pp.757-759
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    • 2004
  • C# 언어로 작성된 프로그램을 정적으로 분할할 때 기존의 객체 지향 프로그램에 이용하던 방법을 일반적으로 적용할 수 있다. 그러나 기존의 두 경로 그래프 도달 가능성 분할 알고리즘을 적용하였을 때 프로시져들 간의 전지적인 종속 관계를 표현하는 요약 간선만을 이용하면 두 번째 경로에서 역추적 할 때 모호성이 발생한다. 이러한 모호성 C#의 이벤트, 델리게이트(delegate)들과 메소드의 다형적 호출 관계에서 발생될 수 있다. 본 논문은 호출된 프로시져의 호출하는 문맥을 설명하기 위하여 호출 지점에서 요약간선 및 경로 간선을 이용하여 C#에서 다형적 호출에 대한 시스템 종속성 그래프(system dependence graph)에 대한 새로운 표현을 제안한다. 이 방법은 다형적 호출에서 발생하는 모호성을 해결할 수 있다.

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The Pedagogical Analysis of the History of Mathematics on Newton's Binomial Theorem (뉴턴의 이항정리에 대한 수학사의 교수법적 고찰)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.1079-1092
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    • 2009
  • The purpose of this study is to investigate Newton's binomial theorem that was on epistemological basis of the emergent background and developmental course of infinite series and power series. Through this investigation, it will be examined how finding the approximate of square root of given numbers, the method of the inverse method of fluxions by Newton, and Gregory and Mercator series were developed in the course of history of mathematics. As the result of this study pedagogical analysis and discussion of the history of mathematics on Newton's binomial theorem will be presented.

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Static and Dynamic Mosaic Construction using Parameter of Camera and Dynamic Object (카메라와 동적 객체의 파라미터 측정을 이용한 정적 및 동적 모자이크 구축)

  • Yang, Won-Bo;Lim, Moon-Sun;Choe, Hyo-Seong;Rhee, Yang-Weon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2000.04a
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    • pp.868-873
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    • 2000
  • 비디오는 상당히 많은 정보를 함축적으로 포괄하는 있는 자원이다. 하지만 비디오의 내용물을 처리하고 이해하기에는 많은 어려움이 있다. 모자이크라고 하는 것은 연속적인 영상들로부터 정합 하여 하나의 새로운 영상을 생성함을 일컫는다. 그러므로 모자이크 영상을 통해서 비디오의 많은 정보들을 효과적으로 표현해 줄 수 있다. 본 논문에서는 모자이크 구축을 위해 이동하는 카메라를 통해 입력을 받아 모자이크 영상을 생성하는 방안을 제시한다. 정적 모자이크 구축을 위해 두 영상간의 방향 벡터만큼 이동 후 차 영상을 계산하여 구축하는 방안을 제시한다. 동적 모자이크 구축을 위해 움직이는 카메라와 동적 객체의 파라미터를 모호성을 방지하기 위한 알고리즘을 제시하고, 동적 객체 판별을 위한 영역 분할 기법에 대하여 제시한다.

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A Study of Implementation Automatic Screen Saver using Division of Difference Image (분할 차영상을 이용한 전시 자동 스크린세이버 구현 기법)

  • An, Hyun-Soo;Kim, Hye-Young
    • Journal of Digital Contents Society
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    • v.14 no.3
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    • pp.303-311
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    • 2013
  • On original exhibits, which is passive and repeat itself endlessly irrelevant of the present of spectators, reduce its immersion. Therefore in this paper, we propose the scheme to recreate original exhibits be adding automatic screen saver by using division of different images to make experimental of an area of different images, to judge movement, maintain conditions or to propose the transition of mechanism. By implementing and analyzing this automatic screen saver, which was made through the scheme of proposition, we show the positive aspect of the use of centralized automatic screen saver.

Adaptive Segmentation Approach to Extraction of Road and Sky Regions (도로와 하늘 영역 추출을 위한 적응적 분할 방법)

  • Park, Kyoung-Hwan;Nam, Kwang-Woo;Rhee, Yang-Won;Lee, Chang-Woo
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.7
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    • pp.105-115
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    • 2011
  • In Vision-based Intelligent Transportation System(ITS) the segmentation of road region is a very basic functionality. Accordingly, in this paper, we propose a region segmentation method using adaptive pattern extraction technique to segment road regions and sky regions from original images. The proposed method consists of three steps; firstly we perform the initial segmentation using Mean Shift algorithm, the second step is the candidate region selection based on a static-pattern matching technique and the third is the region growing step based on a dynamic-pattern matching technique. The proposed method is able to get more reliable results than the classic region segmentation methods which are based on existing split and merge strategy. The reason for the better results is because we use adaptive patterns extracted from neighboring regions of the current segmented regions to measure the region homogeneity. To evaluate advantages of the proposed method, we compared our method with the classical pattern matching method using static-patterns. In the experiments, the proposed method was proved that the better performance of 8.12% was achieved when we used adaptive patterns instead of static-patterns. We expect that the proposed method can segment road and sky areas in the various road condition in stable, and take an important role in the vision-based ITS applications.

Testing for Nonlinear Threshold Cointegration in the Monetary Model of Exchange Rates with a Century of Data (화폐모형에 의한 환율 결정 이론의 비선형 문턱 공적분 검정: 100년간 자료를 중심으로)

  • Lee, Junsoo;Strazicich, Mark C.
    • KDI Journal of Economic Policy
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    • v.31 no.2
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    • pp.1-13
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    • 2009
  • The monetary model suggests that nominal exchange rates between two countries will be determined by important macroeconomic variables. The existence of a cointegrating relationship among these fundamental variables is the backbone of the monetary model. In a recent paper, Rapach and Wohar (2002, Journal of International Economics) advance the literature by testing for linear cointegration in the monetary model using a century of data to increase power. They find evidence of cointegration in five or six of ten countries. We extend their work to the nonlinear framework by performing threshold cointegration tests that allow for asymmetric adjustments in two regimes. Asymmetric adjustments in exchange rates can occur, for example, if transactions costs are present or if policy makers react asymmetrically to changing fundamentals. Moreover, whereas Rapach and Wohar (2002) found it necessary to exclude the relative output variable in some cases to maintain the validity of their cointegration tests, we can include this variable as a stationary covariate to increase power. Overall, using their same long-span data, we find more support for cointegration in a nonlinear framework.

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Improvement of GPS positioning accuracy by static post-processing method (정적 후처리방식에 의한 GPS의 측위정도 개선)

  • 김민선;신현옥
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.39 no.4
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    • pp.251-261
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    • 2003
  • To measure the GPS position accuracy and its distribution according to the length of the baseline, 30 minutes to 24 hours observations at the fixed location were conducted with two GPS receivers (Ll, 12 channels) on May 29 to June 2, 2002. The GPS data received at the reference station, the rover station and the ordinary times GPS observation station operated by the National Geography Institute in Korea were processed in kinematic and static post-processing methods with a post -processing software. The results obtained are summarized as follows: 1. The number of the satellite that could be observed continuously more than six hours was 16 and most of these satellites were positioned at east-west direction on May 31, 2002. The number of the satellite observed and the geometric dilution of precision (GDOP) determined by the average of every 10 minute for the day were 8 and 3.89, respectively. 2. Both the average GPS positions before and after post-processing were shifted (standalone: 1.17 m, post -processing: 0.43m) to the south and west. The twice distance root mean square (2drms) measured with standalone was 6.65m. The 2drms could be reduced to 33.8% (standard deviation 0=17.2) and 5.3% (0=2.2) of standalone by the kinematic and the static post-processing methods, respectively. 3. The relationship between the length of the baseline x (km) and the 2drms y (m) obtained by the static post-processing method was y=0.00l6x+0.006 $(R^2=0.87)$. In the case of the positioning with the static post-processing method using the GPS receiver, it was found that a positioning within 20cm 2drms was possible when the length of the baseline was less than 100km and the receiving time of the GPS is more than 30 minutes.

A Study of 3D World Reconstruction and Dynamic Object Detection using Stereo Images (스테레오 영상을 활용한 3차원 지도 복원과 동적 물체 검출에 관한 연구)

  • Seo, Bo-Gil;Yoon, Young Ho;Kim, Kyu Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.10
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    • pp.326-331
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    • 2019
  • In the real world, there are both dynamic objects and static objects, but an autonomous vehicle or mobile robot cannot distinguish between them, even though a human can distinguish them easily. It is important to distinguish static objects from dynamic objects clearly to perform autonomous driving successfully and stably for an autonomous vehicle or mobile robot. To do this, various sensor systems can be used, like cameras and LiDAR. Stereo camera images are used often for autonomous driving. The stereo camera images can be used in object recognition areas like object segmentation, classification, and tracking, as well as navigation areas like 3D world reconstruction. This study suggests a method to distinguish static/dynamic objects using stereo vision for an online autonomous vehicle and mobile robot. The method was applied to a 3D world map reconstructed from stereo vision for navigation and had 99.81% accuracy.

Strongest Beams having Constant Volume Supported by Clamped-Clamped and Clamped-Hinged Ends (고정-고정 및 고정-회전 지점으로 지지된 일정체적 최강보)

  • Lee, Byoung Koo;Lee, Tae Eun;Shin, Seong Cheol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.3A
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    • pp.251-258
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    • 2009
  • This paper deals with the strongest beams with the solid regular polygon cross-section, whose volumes are always held constant. The differential equation of the elastic deflection curve of such beam subjected to the concentrated and trapezoidal distributed loads are derived and solved by using the double integration method. The Simpson's formula was used to numerically integrate the differential equation. In the numerical examples, the clamped-clamped and clamped-hinged ends are considered as the end constraints and the linear, parabolic and sinusoidal tapers are considered as the shape function of cross sectional depth. As the numerical results, the configurations, i.e. section ratios, of the strongest beams are determined by reading the section ratios from the numerical data obtained in this study, under which static maximum behaviors become to be minimum.