• Title/Summary/Keyword: 개념적 수학

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A Study on Basic Modeling Method for MTF Analysis of Observation Satellites (관측위성의 MTF 해석을 위한 기본 모델링 기법 연구)

  • Kim, Do-Myung;Kim, Deok-Ryeol;Kim, Nak-Wan;Suk, Jin-Young;Kim, Hee-Seob;Kim, Gyu-Sun;Hyun, Young-Mok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.5
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    • pp.472-482
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    • 2008
  • A modulation transfer function(MTF) tree is established to estimate the overall MTF of an observation satellite and to analyze the image performance. Basic MTF models relevant to each MTF tree component are represented as mathematical relationship between optics-structural dynamics, thermal deformation, attitude and dynamic characteristics of a satellite and the effects due to the space environment. The Basic MTF models consist of diffraction limited MTF with central obscuration, aberration, defocus, line-of-sight(LOS) jitter, linear motion, detector integration, and so forth. Performance estimation is demonstrated for a virtual earth-observation satellite in order to validate the constructed modeling method. The proposed models enable the system engineers to calculate the overall system MTF and to determine the crucial design parameters that affect the image performance in the conceptual design phase of an observation satellite.

Sensitivity Analysis of Hydrodynamic Derivatives on Characteristics of Manoeuvring Motion of Manta-type Unmanned Undersea Test Vehicle (Manta형 무인잠수정의 조종운동 특성에 미치는 유체력미계수의 민감도 해석에 관한 연구)

  • Bae, Jun-Young;Sohn, Kyoung-Ho
    • Journal of Navigation and Port Research
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    • v.32 no.8
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    • pp.603-609
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    • 2008
  • Manta-type Unmanned Undersea Test Vehicle(MUUTV) is based on the same design concept as Unmanned Undersea Vehicle called Manta Test Vehicle(MTV), which was originally built and operated by the Naval Undersea Warfare Center(Lisiewicz et al., 2000, Sirmalis et al. 2001). The authors carried out the sensitivity analysis of the response of manoeuvring motion of MUUTV to changes in hydrodynamic derivatives, In order to calculate the sensitivity indices of hydrodynamic derivatives on MUUTV, the method by Sen(2000) was adopted Basically the dynamic mathematical model with six degrees of freedom by Feldman(1979) is used but a little revised, refered to Sohn et al.(2006) and some experiment in circulating water channel. Through the present research, some hydrodynamic derivatives of significance are found out, and also the numerical simulation using simplified mathematical model based on result of sensitivity analysis is ascertained to be enough for prediction of manoeuvring characteristics of MUUTV.

A Study on the Highly Parallel Multiple-Valued Logic Circuit Design with DTG Properties (DTG의 性質을 갖는 高速竝列多値論理回路의 設計에 관한 硏究)

  • Na, Gi-Su;Shin, Boo-Sik;Choi, Jai-Sok;Park, Chun-Myoung;Kim, Heung-Soo
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.6
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    • pp.27-36
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    • 1999
  • This paper proposes algorithms that design the highly parallel multiple-valued logic circuit of DTG(Directed Tree Graph) to be represented by tree structure relationship between input and output of nodes. The conventional Nakajima's algorithms have some problems so that this paper introduce the concept of mathematical analysis based on tree structure to design optimized locally computable circuit. Using the proposed circuit design algorithms in this paper it is possible to design circuit in that DTG have any node number - not to design by Nakajima's algorithms. Also, making a comparison between the circuit design using Nakajim's algorithms and this paper's, we testify that proposed algorithms in this paper optimizes circuit design all case of DTG. Some examples are shown to demonstrate the usefulness of the circuit design algorithm.

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Optimal Design of Local Induction Heating Coils Based on the Sampling-Based Sensitivity (샘플링 기반 민감도를 이용한 국부 유도 가열용 코일의 최적 설계)

  • Choi, Nak-Sun;Kim, Dong-Wook;Kim, Dong-Hun
    • Journal of the Korean Magnetics Society
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    • v.23 no.3
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    • pp.110-116
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    • 2013
  • This paper proposes a sampling-based sensitivity method for dealing with electromagnetic coupled design problems effectively. The black-box modeling technique is basically applied to obtain an optimum regardless of how strong the electromagnetic, thermal and structural analyses are coupled with each other. To achieve this, Kriging surrogate models are produced in a hyper-cubic local window with the center of a current design point. Then design sensitivity values are extracted from the differentiation of basis functions which consist of the models. The proposed method falls under a hybrid optimization method which takes advantages of the sampling-based and the sensitivity-based methods. Owing to the aforementioned feature, the method can be applied even to electromagnetic problems of which the material properties are strongly coupled with thermal or structural outputs. To examine the accuracy and validity of the proposed method, a strongly nonlinear mathematical example and a coil design problem for local induction heating are tested.

Analysis of Effective Stress Parameter on Partially Saturated Soil via Hydro-Mechanical Behaviors (부분포화토의 침투와 흙의 거동에 따른 유효응력 계수 분석)

  • Kim, Jae-Hong;Kim, You-Seong
    • Journal of the Korean Geotechnical Society
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    • v.27 no.12
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    • pp.117-126
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    • 2011
  • Based on thermodynamics, the mathematical framework governing the hydro-mechanical behavior of partially saturated soil is derived by using balance equations, and the numerical analysis through implementation of various effective stress definitions is performed. Effective stress on partially saturated soil describes the soil strength which is presented by the relationship between water content and soil suction. For the estimation of hydro-mechanical behavior on partially saturated soil, effective stress parameter ${\chi}$ defined from various literatures is especially analyzed to understand the conditions of constitutive equations regarding residual saturation and displacement of soil. As a result, effective stress parameter ${\chi}$ has an influence on the variation of matric suction in soil with an external load and seepage. However it was found that the effect of each parameter ${\chi}$ varies with residual degree of saturation, and that of each parameter ${\chi}$ decreased with decrease in displacement of soil caused by an external load.

Analysis on the Korean Highway in 2011 and 2017 Using Algorithms of Accessibility indices (접근성 지표의 알고리즘을 이용한 2011년과 2017년의 우리나라 고속도로 분석)

  • Lee, Gwangyeon;Park, Kisoeb
    • Journal of the Korea Society for Simulation
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    • v.27 no.4
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    • pp.9-18
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    • 2018
  • This paper proposes new algorithms of accessibility indices to analyze the connectivity of the Korean highway network. First of all, we find a transportation network that presents Korea's highway network in graphs in 2011 and 2017. And we analyze and compare the nation's highway network in 2011 and 2017 using concepts such as associated number, the relative distance, the accessibility, the degree of connectivity, the index of dispersion, the diameter of graph theory. To do this, an algorithm is presented which can easily obtain various accessibility indices from a given transportation network. Using the simulation results of this study, we can find city that is the center of traffic in the highway transportation network. In addition, cities that are included in the network but are relatively underdeveloped can be found and used as basic data for enhancing the connectivity of the nationwide traffic in the future. Moreover, the proposed algorithms of accessibility indices, which are modeled on highway transport networks, can help identify the accessibility space structure of each city and provide criteria for efficient and reasonable selection of alternatives in various regional planning processes, including transportation.

Methodology on e-Navigation-Assisted Ocean Monitoring and Big Data Analysis (이내비게이션을 활용한 해양환경관측 및 빅데이터 분석방안)

  • LEE, GUAN-HONG;PARK, JAE-HUN;HA, HO KYUNG;KIM, DO WAN;LEE, WOOJOO;KIM, HONGTAE;SHIN, HYUN-JUNG
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.23 no.4
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    • pp.204-217
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    • 2018
  • This study proposes a cost-effective method to monitor coastal environments using e-Navigation-implemented domestic and international ferries, and to analyze big data of records such as wind, temperature, salinity, waves, and currents that are gathered through e-Navigation system. First, we present the concept and architecture of e-Navigation operation system based on the General Information Center on Maritime Safety and Security. Then, the marine observation system that can be applied to ferries operating in our nation's territory is discussed. Analytical methods, such as spatio-temporal mixed effects model, ensemble method, and meshfree method, in handling real-time big data obtained by the e-Navigation observing system are then explained in detail. This study will support the implementation of the Korean e-Navigation project that focuses on the safety of small vessels such as coasters and fishing vessels.

A Study on primitive polynomial in stream cipher (스트림암호에서 원시다항식에 대한 고찰)

  • Yang, Jeong-mo
    • Convergence Security Journal
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    • v.18 no.4
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    • pp.27-33
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    • 2018
  • Stream cipher is an one-time-pad type encryption algorithm that encrypt plaintext using simple operation such as XOR with random stream of bits (or characters) as symmetric key and its security depends on the randomness of used stream. Therefore we can design more secure stream cipher algorithm by using mathematical analysis of the stream such as period, linear complexity, non-linearity, correlation-immunity, etc. The key stream in stream cipher is generated in linear feedback shift register(LFSR) having characteristic polynomial. The primitive polynomial is the characteristic polynomial which has the best security property. It is used widely not only in stream cipher but also in SEED, a block cipher using 8-degree primitive polynomial, and in Chor-Rivest(CR) cipher, a public-key cryptosystem using 24-degree primitive polynomial. In this paper we present the concept and various properties of primitive polynomials in Galois field and prove the theorem finding the number of irreducible polynomials and primitive polynomials over $F_p$ when p is larger than 2. This kind of research can be the foundation of finding primitive polynomials of higher security and developing new cipher algorithms using them.

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Changes and Issues Regarding the Elementary Science Curriculum: Focusing on Physics (초등 과학 교육과정의 변화와 쟁점 - 물리 영역을 중심으로 -)

  • Byun, Taejin
    • Journal of Korean Elementary Science Education
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    • v.41 no.2
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    • pp.217-235
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    • 2022
  • This study aimed to analyze the changes in the physics curriculum of elementary schools over the past years and to discuss the issues faced by the science curriculum for elementary education prior to the next curriculum revision. We analyzed changes in the elements of the contents from the 7th curriculum to the 2015 revised curriculum and reviewed studies conducted after the revision in 2015. Additionally, three professors majoring in physics education discussed the results of the curriculum analysis. The result indicates that content of the physics curriculum for elementary education was generally reduced after the 7th curriculum. Specifically, difficult concepts were omitted or designated to a higher school level. Concerns related to the science curriculum pertain to the content adequacy and difficulty of the current curriculum, its relationship with mathematics, connection between the Nuri curriculum and the integrated curriculum for the 1st and 2nd grades, and the achievement standard predicate problem.

A Study on Drift Phenomenon of Trained ML (학습된 머신러닝의 표류 현상에 관한 고찰)

  • Shin, ByeongChun;Cha, YoonSeok;Kim, Chaeyun;Cha, ByungRae
    • Smart Media Journal
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    • v.11 no.7
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    • pp.61-69
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    • 2022
  • In the learned machine learning, the performance of machine learning degrades at the same time as drift occurs in terms of learning models and learning data over time. As a solution to this problem, I would like to propose the concept and evaluation method of ML drift to determine the re-learning period of machine learning. An XAI test and an XAI test of an apple image were performed according to strawberry and clarity. In the case of strawberries, the change in the XAI analysis of ML models according to the clarity value was insignificant, and in the case of XAI of apple image, apples normally classified objects and heat map areas, but in the case of apple flowers and buds, the results were insignificant compared to strawberries and apples. This is expected to be caused by the lack of learning images of apple flowers and buds, and more apple flowers and buds will be studied and tested in the future.