• 한국초등수학교육학회지
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• 제18권1호
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• pp.63-81
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• 2014

우리나라 학생들은 수학의 인지적 영역에서는 높은 성취를 보이지만 정의적 영역에서는 현저히 낮은 성취를 나타내고 있다. 본 논문에서는 수학의 정의적 영역 중 수학의 가치 교육 문제에 대하여 폴라니의 인식론을 바탕으로 논하였다. 폴라니의 인식론에서는 개인적 지식과 지식의 암묵적 차원을 강조한다. 그는 수학의 추상성, 일반성을 강조하였고, 수학의 발전은 공리적, 형식적 측면보다는 지적 아름다움과 열정에 의하여 안내된다고 하였다. 이러한 폴라니의 인식론의 관점에서 볼 때, 수학의 유용성, 실용성 등의 언어적 전달이나 표면적인 흥미 유발을 위한 활동은 본질적으로 가치 교육 및 수학 공부의 내재적 동기 부여에 한계가 있다. 수학 공부의 가치는 적절한 수학 문제에로의 몰입과 긴장, 그리고 문제가 해결되면서 따르는 기쁨, 환희를 맛보며 몸으로 체득하면서 배워야 하는 것이다.

• 한국항공우주학회지
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• 제32권9호
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• pp.80-87
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• 2004

향후 인공위성의 정밀 자세지향 요구가 매우 높아짐에 따라 궤도상의 위성에서 발생하는 고주파 진동인 지터 (Jitter) 의 능동적인 재어가 중요한 문제로 대두되고 있다 . 지터는 탑재체의 성능을 저하시키는 주요 요인이다. 지난 10년간 수동식 및 능동식의 지터 제어 방법이 연구되어 왔다. 본 연구에서는 모텔 장치에 대한 능동식의 지터 분리에 대한 기법을 소개하기로 한다. 모델 장치는 피드백 제어의 원리를 기반으로 3 자유도의 운동을 통해 능동적인 제어가 가능하게 해준다. 이를 위해 시스템의 수학적 모델링을 수행하고 확보된 모델은 기본적인 제어기 설계에 이용된다. 설계된 제어법칙은 시뮬레이션을 통해 그 성능을 검증하도록 한다.

• 에너지공학
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• 제10권3호
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• pp.253-265
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• 2001

본 논문은 멀티형 공조/냉동시스템의 증발기의 과열도(증발기 2상영역과 출구영역의 냉매기 온도차)제어를 위한 모델링과 PI제어에 관한 연구이다. 먼저, 제어기 설계를 목적으로 하여 압축기, 응축기, 증발기 그리고 전자식 팽창밸브의 동특성이 수학적으로 모델링된다. 증발기에서의 일정한 크기의 과열도 발생을 제어목적으로 한정한 후 전자식 팽창밸브의 전류입력으로부터 증발기의 2상영역과 과열영역에서의 관벽의 온도로의 전달함수들이 유도된다. 비례적분 제어기의 폐루프시스템의 안정성과 제어성능은 Nyquist 안정성 판별법에 의해 분석된다. 시뮬레이션 결과가 제시된다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제18권2호
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• pp.181-192
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• 2014

In this paper, we propose a robust real-time myocardial border tracking algorithm for echocardiography. Commonly, after an initial contour of LV border is traced at one or two frame from the entire cardiac cycle, LV contour tracking is performed over the remaining frames. Among a variety of tracking techniques, optical flow method is the most widely used for motion estimation of moving objects. However, when echocardiography data is heavily corrupted in some local regions, the errors bring the tracking point out of the endocardial border, resulting in distorted LV contours. This shape distortion often occurs in practice since the data acquisition is affected by ultrasound artifacts, dropout or shadowing phenomena of cardiac walls. The proposed method deals with this shape distortion problem and reflects the motion realistic LV shape by applying global deformation modeled as affine transform partitively to the contour. We partition the tracking points on the contour into a few groups and determine each affine transform governing the motion of the partitioned contour points. To compute the coefficients of each affine transform, we use the least squares method with equality constraints that are given by the relationship between the coefficients and a few contour points showing good tracking results. Many real experiments show that the proposed method supports better performance than existing methods.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권10호
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• pp.5244-5259
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• 2019

With the continuous development of LBS (Location Based Service) applications, privacy protection has become an urgent problem to be solved. Differential privacy technology is based on strict mathematical theory that provides strong privacy guarantees where it supposes that the attacker has the worst-case background knowledge and that knowledge has been applied to different research directions such as data query, release, and mining. The difficulty of this research is how to ensure data availability while protecting privacy. Spatial multidimensional data are usually released by partitioning the domain into disjointed subsets, then generating a hierarchical index. The traditional data-dependent partition methods need to allocate a part of the privacy budgets for the partitioning process and split the budget among all the steps, which is inefficient. To address such issues, a novel two-step partition algorithm is proposed. First, we partition the original dataset into fixed grids, inject noise and synthesize a dataset according to the noisy count. Second, we perform IH-Tree (Improved H-Tree) partition on the synthetic dataset and use the resulting partition keys to split the original dataset. The algorithm can save the privacy budget allocated to the partitioning process and obtain a more accurate release. The algorithm has been tested on three real-world datasets and compares the accuracy with the state-of-the-art algorithms. The experimental results show that the relative errors of the range query are considerably reduced, especially on the large scale dataset.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권8호
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• pp.1989-2009
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• 2013

How to discover router vulnerabilities effectively and automatically is a critical problem to ensure network and information security. Previous research on router security is mostly about the technology of exploiting known flaws of routers. Fuzzing is a famous automated vulnerability finding technology; however, traditional Fuzzing tools are designed for testing network applications or other software. These tools are not or partly not suitable for testing routers. This paper designs a framework of discovering router protocol vulnerabilities, and proposes a mathematical model Two-stage Fuzzing Test Cases Generator(TFTCG) that improves previous methods to generate test cases. We have developed a tool called RPFuzzer based on TFTCG. RPFuzzer monitors routers by sending normal packets, keeping watch on CPU utilization and checking system logs, which can detect DoS, router reboot and so on. RPFuzzer' debugger based on modified Dynamips, which can record register values when an exception occurs. Finally, we experiment on the SNMP protocol, find 8 vulnerabilities, of which there are five unreleased vulnerabilities. The experiment has proved the effectiveness of RPFuzzer.

• Journal of Communications and Networks
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• 제17권5호
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• pp.506-516
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• 2015

Wireless sensor networks (WSNs) are generally comprised of densely deployed sensor nodes, which results in highly redundant sensor data transmissions and energy waste. Since the sensor nodes depend on batteries for energy, previous studies have focused on designing energy-efficient medium access control (MAC) protocols to extend the network lifetime. However, the energy-efficient protocols induce an extra end-to-end delay, and therefore recent increase in focus on WSNs has led to timely and reliable communication protocols for mission-critical applications. In this paper, we propose an energy efficient and delay guaranteeing node scheduling scheme inspired by biological systems, which have gained considerable attention as a computing and problem solving technique.With the identification of analogies between cellular signaling systems and WSN systems, we formulate a new mathematical model that considers the networking challenges of WSNs. The proposed bio-inspired algorithm determines the state of the sensor node, as required by each application and as determined by the local environmental conditions and the states of the adjacent nodes. A control analysis shows that the proposed bio-inspired scheme guarantees the system stability by controlling the parameters of each node. Simulation results also indicate that the proposed scheme provides significant energy savings, as well as reliable delay guarantees by controlling the states of the sensor nodes.

• Structural Engineering and Mechanics
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• 제43권5호
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• pp.561-582
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• 2012

Despite popularity of FEM in analysis of static and dynamic structural problems and the routine applicability of FE softwares, analytical methods based on simple mathematical relations is still largely sought by many researchers and practicing engineers around the world. Development of such analytical methods for analysis of free vibration of non-prismatic beams is also of primary concern. In this paper a new and simple method is proposed for determination of vibration frequencies of non-prismatic beams under variable axial forces. The governing differential equation is first obtained and, according to a harmonic vibration, is converted into a single variable equation in terms of location. Through repetitive integrations, integral equation for the weak form of governing equation is derived. The integration constants are determined using the boundary conditions applied to the problem. The mode shape functions are approximated by a power series. Substitution of the power series into the integral equation transforms it into a system of linear algebraic equations. Natural frequencies are determined using a non-trivial solution for system of equations. Presented method is formulated for beams having various end conditions and is extended for determination of the buckling load of non-prismatic beams. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained to those obtained using available finite element software.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2008년도 춘계학술대회 논문집
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• pp.466-469
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• 2008

As the industry develops, they are interested in the fault of electric machines and the effect on human beings by electromagnetic fields and waves which generate through much use of electric machines and appliances. In foreign country, they confirmed the standard about electromagnetic interference and compatibility(EMI/EMC) of electromagnetic fields and waves generating electricity transmission/distribution equipments and electric appliance. In Korea, such criteria are applied too. Before EMI/EMC standard is applied, it is important to prepare the plan to predict and reduce electromagnetic fields and waves which generate in the inner and the outer part of electric machinery. To solve such a problem, they calculated Maxwell's equations by finite element method(FEM) and finite difference method(FDM) in most papers. However, these methods have the disadvantage that mathematical expansions are complex and need much memory allocations for grid and mesh generations. In this paper, we introduce transmission line matrix(TLM) method that media of which trains consists are regarded as transmission lines for electromagnetic field calculation in Korean High Speed Train, calculate the electric and magnetic field, and analyze the results.

• International Journal of CAD/CAM
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• 제9권1호
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• pp.1-16
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• 2010

When Deterministic Design Optimization (DDO) methods are used, deterministic optimum designs are frequently pushed to the design constraint boundary, leaving little or no room for tolerances (or uncertainties) in design, manufacture, and operating processes. In the Reliability-Based Design Optimization (RBDO) model for robust system design, the mean values of uncertain system variables are usually used as design variables, and the cost is optimized subject to prescribed probabilistic constraints as defined by a nonlinear mathematical programming problem. Therefore, a RBDO solution that reduces the structural weight in uncritical regions does not only provide an improved design but also a higher level of confidence in the design. In this work, we seek to improve the quality of RBDO processes using efficient optimization techniques with object of improving the resulting objective function and satisfying the required constraints. Our recent RBDO developments show its efficiency and applicability in this context. So we present some recent structural engineering applications demonstrate the efficiency of these developed RBDO methods.