• 제목/요약/키워드: simultaneous equations

검색결과 295건 처리시간 0.02초

복합요소법을 이용한 항내 파낭 응답 수치해석 (Numerical Analysis of Wave Agitations in Arbitrary Shaped Harbors by Hybrid Element Method)

  • 정원무;편종근;정신택;정경태
    • 한국해안해양공학회지
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    • 제4권1호
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    • pp.34-44
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    • 1992
  • 단주기파의 항내 침입ㆍ변형에 의한 수면파난 현상을 효과적으로 예측하기 위한 수치모형을 제안하였다. 해저면 마찰을 고려한 완경사 방정식을 기본으로 하고 고체 경과면에서는 부분흡수 경계조건을 사용하였다. 방파제 주변과 항내 영역은 유한요소로 모형화하고 항외 영역에서는 Helmholtz 방정식의 해석해를 사용하는 복합요소법을 이용하였다. Chen과 Mei(1974)의 방법에 따라 경계치 문제의 범함수를 구한 후 구함되는 최종적인 연입방정식을 Gauss 소거법으로 푸는 수치모형을 수립하였다. 양익방파제에 의한 파의 회절에 대한 수치모형실험(Pos and Kilner, 1987)과 수치계산을 비교한 결과 양자가 양호하게 일치하여 본 수치모형의 타당성이 검증되었다. 본 모형은 유한차분 모형에 비해 경계면과 반사의 처리가 정확한 반면 상대적으로 커다란 컴퓨터 기억용양을 필요로 하므로 사각형 요소를 사용하는 등의 개선이 요구되었다.

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종-횡파 동시 측정용 초음파 센서의 개발 (Development of Ultrasonic Sensors for Simultaneous Measurement of Longitudinal and Shear Waves)

  • 김연보;노용래
    • 센서학회지
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    • 제8권1호
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    • pp.1-9
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    • 1999
  • 하나의 PZT 압전세라믹스 소자를 이용하여 종파와 청파를 동시에 송 수신할 수 있는 이중 모우드 초음파 센서에 관하여 이론적으로 고찰하고 실제로 제작하였다. 제작된 초음파 센서가 이중 모우드로 동작할 수 있는 최적조건을 찾기 위해 압전매질에서 파동의 전파방정식을 이론적으로 해석하고 이것으로부터 Euler의 회전 규칙으로 압전소자를 회전하여 절단 가능한 모든 면에 대해서 종파와 횡파의 동시 발생 기구를 조사하였다. 이론적인 해석결과를 확인하기 위하여 제작된 PZT 압전 세라믹스 소자를 종파와 횡파를 효율적으로 송 수신할 수 있는 회전각으로 절단하여 초음파 센서를 제작하고 주파수 변화에 따른 임피던스 변화를 측정하였다. 또한 여기서 제작된 초음파 센서를 스테인레스 스틸(STS303)로 제작된 지연선(delay line)으로 실험한 결과 하나의 초음파 센서로 종파와 횡파를 우수하게 송 수신할 수 있었다.

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소비자 프라이버시 보호에 관한 다항식 기반 연구 (A Polynomial-based Study on the Protection of Consumer Privacy)

  • 박연희;김민지
    • 한국IT서비스학회지
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    • 제19권1호
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    • pp.145-158
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    • 2020
  • With the development and widespread application of online shopping, the number of online consumers has increased. With one click of a mouse, people can buy anything they want without going out and have it sent right to the doors. As consumers benefit from online shopping, people are becoming more concerned about protecting their privacy. In the group buying scenario described in our paper, online shopping was regarded as intra-group communication. To protect the sensitive information of consumers, the polynomial-based encryption key sharing method (Piao et al., 2013; Piao and Kim, 2018) can be applied to online shopping communication. In this paper, we analyze security problems by using a polynomial-based scheme in the following ways : First, in Kamal's attack, they said it does not provide perfect forward and backward secrecy when the members leave or join the group because the secret key can be broken in polynomial time. Second, for simultaneous equations, the leaving node will compute the new secret key if it can be confirmed that the updated new polynomial is recomputed. Third, using Newton's method, attackers can successively find better approximations to the roots of a function. Fourth, the Berlekamp Algorithm can factor polynomials over finite fields and solve the root of the polynomial. Fifth, for a brute-force attack, if the key size is small, brute force can be used to find the root of the polynomial, we need to make a key with appropriately large size to prevent brute force attacks. According to these analyses, we finally recommend the use of a relatively reasonable hash-based mechanism that solves all of the possible security problems and is the most suitable mechanism for our application. The study of adequate and suitable protective methods of consumer security will have academic significance and provide the practical implications.

탈북학생들을 위한 수학 보충학습에서 담론 속에 나타난 오류유형과 담론의 특성 (The Characteristics of Mathematical Errors & Discourse in a Supplementary Class for the Migrant Students from North Korea)

  • 고상숙
    • 한국학교수학회논문집
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    • 제15권1호
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    • pp.53-80
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    • 2012
  • 본 연구는 연립방정식과 연립부등식에서 탈북학생들이 나타내는 오류의 유형과 수학적 담론의 특성을 파악하여 학습의 향상을 꾀하고자 시도되었다. 이 때 담론중심의 학습은 학생들을 수학적 언어의 공동체로 이끌어내는 수단이 되어 자신감을 극복할 수 있게 돕는다. 이를 위해 다양한 배경을 지닌 5명의 탈북학생을 대상으로 2011년 1학기 서울에 위치한 모OO 대안학교에서 보충수업일환으로 8차시 연구가 수행되었다. 학습과정은 녹음되어 전사되었고, 학생의 학습지, 연구자의 관찰지가 수집되었다. 연구결과로는 탈북학생들은 기술적 오류, 기록오류, 잘못 이해된 기호, 잘못 해석된 언어, 한자어 해석오류를 보였고, 담론은 제 0수준으로부터 서서히 상위수준으로 향상은 보였으나 최상의 수준인 제 2수준~3수준은 단편적으로만 나타났다. 그러나 담론의 요소인 설명하기와 정당화하기가 활성화되면서 상호작용의 ERE 패턴에서 Ev(평가)와 Eb(정교화)가 증가하는 긍정적인 양상을 보였다.

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Symbolic computation and differential quadrature method - A boon to engineering analysis

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • 제27권6호
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    • pp.713-739
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    • 2007
  • Nowadays computers can perform symbolic computations in addition to mere number crunching operations for which they were originally designed. Symbolic computation opens up exciting possibilities in Structural Mechanics and engineering. Classical areas have been increasingly neglected due to the advent of computers as well as general purpose finite element software. But now, classical analysis has reemerged as an attractive computer option due to the capabilities of symbolic computation. The repetitive cycles of simultaneous - equation sets required by the finite element technique can be eliminated by solving a single set in symbolic form, thus generating a truly closed-form solution. This consequently saves in data preparation, storage and execution time. The power of Symbolic computation is demonstrated by six examples by applying symbolic computation 1) to solve coupled shear wall 2) to generate beam element matrices 3) to find the natural frequency of a shear frame using transfer matrix method 4) to find the stresses of a plate subjected to in-plane loading using Levy's approach 5) to draw the influence surface for deflection of an isotropic plate simply supported on all sides 6) to get dynamic equilibrium equations from Lagrange equation. This paper also presents yet another computationally efficient and accurate numerical method which is based on the concept of derivative of a function expressed as a weighted linear sum of the function values at all the mesh points. Again this method is applied to solve the problems of 1) coupled shear wall 2) lateral buckling of thin-walled beams due to moment gradient 3) buckling of a column and 4) static and buckling analysis of circular plates of uniform or non-uniform thickness. The numerical results obtained are compared with those available in existing literature in order to verify their accuracy.

Hydrolysis Mechanisms of Fish Oil by Lipolase-100T

  • HUR, BYUNG-KI;DONG-JIN WOO;CHONG-BO KIM
    • Journal of Microbiology and Biotechnology
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    • 제9권5호
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    • pp.624-630
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    • 1999
  • In order to investigate the position of various fatty acids attached to glycerol and the specificity of Lipolase-100T, hydrolysis of fish oil was carried out with Lipolase-100T derived from Aspergillus oryzae. The amounts of free fatty acids produced from triglyceride, 1,2(2,3)-diglyceride, 1,3-diglyceride, and 2-monoglyceride and conversion rates of 1,2(2,3)-diglyceride to 1,3-diglyceride and 2-monoglyceride to 1(3)-monoglyceride were also calculated. The ratio of 1,2-diglyceride content to 1,3-diglyceride was higher than 70 in the early period of hydrolysis. The fatty acid content of the glyceride mixture after 72 h of hydrolysis was compared with that of fish oil, and it was found that polyunsaturated fatty acids such as C16:4, C20:4 n-3, C20:5 n-3, C21:5 n-3, C22:5 n-3 and C22:6 n-3 were located in the 2-position of glycerol. Material balance of each component in the hydrolysis system was written to obtain a set of simultaneous linear equations. The theoretical quantity of free fatty acids produced from triglyceride, 1,2-diglyceride, 1,3-diglyceride, and monoglyceride, respectively, were calculated by solving the linear equation system. The conversion rate of 1,2(2,3)-diglyceride to 1,3-diglyceride and that of 2-monoglyceride to 1(3)-monoglyceride were also obtained. The results showed that the migration rate of 1,2(2,3)-diglyceride to 1,3-diglyceride was higher than the hydrolysis rate of 1,2(2,3)-diglyceride to 2-monoglyceride and the conversion rate of 2-monoglyceride to 1(3)-monoglyceride was extremely low.

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교과서를 재구성한 수준별 학습지의 개발과 적용을 통한. 자기학습력 신장에 미치는 영향 (The Effect to Improvement of Self-Educability through the Development and Application of a Level-Learning Materials Reconstructed Text Book - Simultaneous Equations of the Second Year of Middle School -)

  • 박기석;송원수
    • 한국학교수학회논문집
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    • 제3권2호
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    • pp.69-82
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    • 2000
  • Mathematics is the subject that requires high mental function such as the ability of logically thinking and investigating. Because of the reason there exists much greater difference in students' individual scholastic abilities in mathematics class than in other classes. Recently many schools organize students into two or three level-based mathematics classes according to each student's level to solve the problem. But in spite of its many merits the new system of class organization has some problems. The problem which is pointed out as the most serious thing frequently is that many teachers still use the same textbook and the same teaching method for all students, not considering student's level. Obviously it causes the reduction of students' interest and motivation. In this point of view, I tried to solve such a problem by development and application of level learning materials reconstructed text book according to students' abilities and levels through this research. As the result of the research to examine the changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics has occurred, the following conclusion comes out. 1. Through the mathematics class utilizing level learning materials reconstructed textbook, students come to recognize that level learning materials are more effective than uniformed contents of the same textbook and get more active learning attitude. 2 The application of level learning materials in a level-based class has contributed to increasing students' interest in mathematics. Furthermore it was also effective in the positive changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics.

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연구개발투자에 따른 비용저감 효과 분석: ICT산업을 중심으로 (An Analyzing the Cost-Saving Effect of R&D Investment: Focusing on the ICT Industry)

  • 박철민;한정민;구본철
    • 기술혁신연구
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    • 제24권3호
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    • pp.81-105
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    • 2016
  • 본 연구는 ICT산업의 연구개발투자에 따른 비용저감 효과를 계측하는데 그 목적이 있다. 일반적으로 연구개발투자는 제품혁신과 공정혁신을 유발하고, 또 이들은 각각 매출증대와 비용저감 효과를 견인하는 것으로 알려져 있다. 그러나 기 수행된 실증연구들을 살펴보면, 그 대부분이 연구개발투자의 매출증대 기여부분에 초점을 두고 있다. 이에 본 연구는 최근 주목받고 있는 ICT산업을 중심으로 연구개발투자의 비용저감 효과를 분석해 보았다. 이를 위해 초월대수 비용함수와 비용점유율 방정식을 설정하였으며, SUR방법을 통해 실증적으로 분석하였다. 그 분석결과, 연구개발투자에 따른 총비용의 감소효과는 유의한 것을 확인할 수 있었다. 추가적으로 연구개발투자와 각 생산요소들 간의 관계를 살펴보았는데, 연구개발투자와 중간투입은 상호 대체관계, 노동 및 자본과는 보완관계인 것으로 나타났다.

Solid SCR용 암모니아 저장물질인 Calcium Ammine Chloride의 합성방법 및 물질분석 연구 (A Study on Synthetic Method and Material Analysis of Calcium Ammine Chloride as Ammonia Transport Materials for Solid SCR)

  • 신종국;윤천석;김홍석
    • 한국자동차공학회논문집
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    • 제23권2호
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    • pp.199-207
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    • 2015
  • Solid materials of ammonia sources with SCR have been considered for the application of lean NOx reduction in automobile industry, to overcome complex problems of liquid urea based SCR. These solid materials produce ammonia gas directly with proper heating and can be packaged by compact size, because of high volumetric ammonia density. Among ammonium salts and metal ammine chlorides, calcium ammine chloride was focused on this paper due to low decomposition temperature. In order to make calcium ammine chloride in lab-scale, simple reactor and glove box was designed and built with ammonium gas tank, regulator, and sensors. Basic test conditions of charging ammonia gas to anhydrous calcium chloride are chosen from equilibrium vapor pressure by Van't Hoff plot based on thermodynamic properties of materials. Synthetic method of calcium ammine chloride were studied for different durations, temperatures, and pressures with proper ammonia gas charged, as a respect of ammonia gas adsorption rate(%) from simple weight calculations which were confirmed by IC. Also, lab-made calcium ammine chloride were analyzed by TGA and DSC to clarify decomposition step in the equations of chemical reaction. To understand material characteristics for lab-made calcium ammine chloride, DA, XRD and FT-IR analysis were performed with published data of literature. From analytical results, water content in lab-made calcium ammine chloride can be discovered and new test procedures of water removal were proposed.

유전체로 코팅된 유한한 두께의 주기 슬롯을 갖는 평행평판 도파관으로부터 누설파 복사 : H-편파 (Leaky Wave Radiation from Dielectric-Coated Parallel-Plate Waveguied Periodic Slot with Finite Thickness : H-polarization)

  • 김중표;이창원;손현
    • 한국전자파학회논문지
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    • 제10권2호
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    • pp.247-256
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    • 1999
  • 유전체 코팅된 유한한 두께의 주기적인 슬롯을 갖는 명행명판 도파관으로부터 누설파 안테나를 H-편파 경 우에 대하여 해석하였다. 이러한 구조에 대해 슬롯영역의 전자계는 명행평판 도파관의 TM 모드의 합으로 전 개하고 그 외의 모든 영역의 전자계는 역퓨리에 변환을 이용하여 파수영역 형태로 표현되어진다. 경계조건을 적용하여 선형동차 방정식을 유도한다. 슬롯 폭과 슬롯 두께, 유전체층 두께, 슬롯 개수의 영향이 위상 상수. 누설 상수 및 복사패턴 등과 같은 복사 특성에 미치는 영향을 조사하였다. 유한한 슬롯 개수의 결과와 무한 구조의 결과와 비교하여 잘 일치함을 확인하였다.

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