• Title/Summary/Keyword: '소수'

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Solvent-assisted sealing of poly(methylmethacrylate) microchannel under mild conditions (용매를 이용한 Poly(methylmethacrylate)의 저온 저압 본딩 및 마이크로 채널 표면의 선택적 소수성 코팅기법 개발)

  • Lee, Jae-Seon;Lee, Nae-Yun
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2017.05a
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    • pp.110-110
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    • 2017
  • 마이크로 플루이딕 디바이스는 화학, 생물학 실험 및 생체 의학 진단을 위한 플랫폼으로 지난 20년간 그 사용 및 연구가 증가되어 왔다. 마이크로 플루이딕 디바이스를 제작하는 데 있어 가장 일반적으로 사용되는 재료는 실리콘이지만 비용이 많이 들고 불투명하므로 광학 검출이 필요한 곳에 적용이 제한된다. 이러한 측면에서 열가소성 플라스틱은 상업화의 중요한 요소인 대량 생산에 있어 큰 잠재력을 가지고 있으며 저렴하고, 가공이 쉽고, 유연하고, 광학적으로 투명하고, 화학적으로 불활성이며, 생체적합성을 가진다. 본 연구에서는 열가소성 플라스틱의 일종인 PMMA Poly(methylmethacrylate)를 효율적으로 접합하기 위해 비교적 낮은 온도와 낮은 압력에서 에탄올을 활용한 접착방식을 개발하였다. 먼저, PMMA 기판의 전체 표면을 $80^{\circ}C$에서 20 분 동안 에탄올로 처리한 후, $60^{\circ}C$에서 20 분간 열 압착하는 방식으로 영구적인 결합이 이루어졌다. 결합 강도 및 채널의 sealing 정도를 확인하기 위해, 인장 강도, 누수 및 파열 테스트를 수행하였다. 결합강도는 약 12.4 MPa로 타 연구와 비교할 때 매우 높았으며 마이크로 채널의 전체 내부 체적보다 거의 450 배 높은 강한 액체 흐름을 견딜 정도로 견고한 결합이 유지되었다. 열가소성 플라스틱의 본딩에 사용되는 유기 용매는 광학 특성을 희생시키지 않으면서 결합 속도를 높일 수 있지만, 결합 공정 중에 용매로 인해 마이크로 채널이 막히는 현상이 발생될 수 있다. 따라서, 견고한 본딩을 유지하면서 채널 막힘을 방지하기 위해 마이크로 채널을 소수성으로 선택적으로 처리하여 내벽의 표면 특성을 튜닝해 주는 기법을 추가로 적용하였다. 본 연구에서 사용한 방법은 아민-PDMS (polydimethylsiloxane) 링커를 적용하여 기판 표면의 극성을 변경시켜 주었다. 아민-PDMS 링커는 PC (polycarbonate), PET (polyethylene terephthalate), PVC (polyvinyl chloride) 및 PI (polyimide)와 같은 다양한 열가소성 플라스틱의 표면 소수성을 현저히 증가시키며 화학적, 열적 안정성이 뛰어나다. 아민-PDMS 링커는 PMMA의 카보닐 그룹과 반응할 수 있는 아민 사이드 그룹을 포함하는 PDMS 백본으로 구성되며 처리된 대상표면을 소수성으로 만든다. 아민-PDMS 링커 처리 이후 채널은 소수성으로 변화되었으며 이는 접촉각(contact angle)의 증가로 확인되었다. 코팅된 채널을 에탄올로 30분간 80도에서 처리하여도 소수성은 그대로 유지되어 마이크로 채널의 선택적인 소수성 코팅이 성공적으로 수행되었다.

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Decrement Models with an Application to Variable Annuities under Fractional Age Distributions (탈퇴원인별 상이한 소수연령 분포에서 다중탈퇴율 계산과 변액연금에 응용)

  • Lee, Hang-Suck
    • Communications for Statistical Applications and Methods
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    • v.16 no.1
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    • pp.85-102
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    • 2009
  • This paper derives conversion formulas from yearly-based absolute rates of decrements to monthly-based rates of decrement due to cause J under fractional age distributions. Next, it suggests conversion formulas from monthly-based absolute rates of decrements to monthly-based rates of decrement due to cause j under fractional age distributions. In addition, it applies the conversion formulas including a dynamic lapse rate model to variable annuities. Some numerical examples are discussed.

A Construction of 'Decimal Fraction' Unit of Elementary Mathematics Textbook and Analysis of Students' State of Understanding Based on Measurement Activity (초등수학에서 측정활동에 기반한 소수의 학습.지도 방안 및 학생의 이해 실태 분석)

  • Kim, Eun Jung;Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.37-62
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    • 2014
  • In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

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5th Graders' Logical Development through Learning Division with Decimals (5학년 아동의 소수 나눗셈 원리 이해에 관한 연구)

  • Lee, Jong-Euk
    • School Mathematics
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    • v.9 no.1
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    • pp.99-117
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    • 2007
  • In this paper it is discussed how children develop their logical reasoning beyond difficulties in the process of making sense of division with decimals in the classroom setting. When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter levels, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school should be clarified. This study focuses on the teaching and learning of division with decimals in a 5th grade classroom, because it is well known to be difficult for children to understand the meaning of division with decimals. It is suggested that children begin to conceive division as the relationship between the equivalent expressions at the hypothetical-deductive level detached from the concrete one, and that children's explanation based on a reversibility of reciprocity are effective in overcoming the difficulties related to division with decimals. It enables children to conceive multiplication and division as a system of operations.

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The Primality Test (소수 판별법)

  • Lee, Sang-Un;Choi, Myeong-Bok
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.8
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    • pp.103-108
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    • 2011
  • Generally, Miller-Rabin method has been the most popular primality test. This method arbitrary selects m at k-times from m=[2, n-1] range and (m,n)=1. Miller-Rabin method performs $k{\times}r$ times and reports prime as $m^d\;{\equiv}\;1(mod\;n)$ or $m^{2^rd}\;{\equiv}\;-1(mod n)$ such that n-1=$2^sd$, $0\;{\leq}\;r\;{\leq}\;s-1$. This paper suggests more simple primality test than Miller-Rabin method. This test method computes c=$p^{\frac{n-1}{2}}(mod\;n)$ for k times and reports prime as c=-1. The proposed primality test method reduces $k{\times}r$ times of Miller-Rabin method to k times.

피라미드 크기가 PDMS Mold 구조에 미치는 영향

  • Pyo, Dae-Seung;Gong, Dae-Yeong;Jeon, Seong-Chan;O, Jeong-Hwa;Hong, Pyo-Hwan;Kim, Bong-Hwan;Lee, Jong-Hyeon;Jo, Chan-Seop
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.294-294
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    • 2013
  • 소수성을 띄는 표면은 자연으로부터 시작된 연구이다. 연잎, 소금쟁이 다리, 매미 날개 등 많은 자연의 표면은 150o보다 높은 접촉각을 지니기 때문에 물에 대한 반발이 심해져 약간의 기울임에도 쉽게 물방울이 굴러 떨어지고 이때 먼지를 제거할 수 있다. 자연현상을 이용해 물질 표면의 소수성 제어에 대한 다양한 연구가 진행 중이다. 친수성과 소수성은 일반적으로 표면에서 물방울의 contact angle 측정으로 확인 할 수 있다. Contact angle이 $90^{\circ}$ 작을 경우 친수성, $90^{\circ}$보다 클 경우 소수성이라고 한다. 이러한 기술을 이용해서 solar cell, 자동차 유리, 건물외벽, 등 다양한 분야에서 사용하고 있으며, 소수성 구조를 만드는 방법으로는 laser ablation, wet etching, 리소그라피 공정이 있는데, laser ablation의 경우 가격이 비싸다는 단점을 가지고 있으며, 반면 가격이 저렴한 wet etching의 경우 제어가 힘들다는 단점을 지니고 있다. 리소그라피 공정은 비싼 비용과 시간을 소비해야 하는 단점을 지니고 있다. 본 연구에서는 이러한 단점들을 개선하기 위해 공정 시간의 감소와, 저 비용으로 제작이 가능한 RIE (Recative Ion Etching)로 피라미드 구조를 만들었다. 형성된 구조물에 투명하고 균일하며, 낮은 계면에너지를 갖고 있는 PDMS (polydimethelsiloxine)로 mold을 수행하였다. RIE를 이용한 표면 구조는 Gas, Flow rate, Pressure, Power, Time 등을 조절하여 단결정 실리콘 기판 위에 피라미드의 크기를 조절하였다. 피라미드의 크기가 커짐에 따라 물과 PDMS가 닿는 면적이 줄어들면서 높은 소수성을 가지게 되는데, 높은 소수성 구조를 가지는 피라미드 형상을 찾기 위한 실험을 진행하였다. RIE 조건은 Flow rate: 30 sccm, Temperature: $10^{\circ}C$ Pressure: 100 mTorr, Power: 200 W, Process Time: 5~50 min으로 조절하며 공정을 수행하였고 RIE공정 후 SAMs (Self-Assembly Monolayers)을 진행하였으며, 마지막으로 PDMS를 이용하여 mold공정을 진행하였다. 그리고 SEM (Scanning Electron Microscope)장비를 이용하여 Etching된 단면을 관찰하였으며, 접촉각을 측정하였다. Process Time을 50 min로 공정하였을 때, 측정된 접촉각은 $134^{\circ}$였다.

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A Study on the Unified Method of Coordinate Registration in Cadastral Map Information (지적도면정보 좌표등록의 통일화 방안 연구)

  • Hong, Sung-Eon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.11
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    • pp.7855-7862
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    • 2015
  • Cadastral map information is created by registering parcel information such as location, lot number, land category and boundary through the cadastral survey. However, with regard to boundary point coordinate, computerized cadastral information data was registered to either two decimal places (unit in centimeter) or three decimal places (unit in millimeter) so that a confusion in cadastral administration and cadastral survey has been caused. Therefore, the purpose of this study is to look for a method of matching two different coordinate systems through the consideration of registration of cadastral information data and area calculation. In conclusion, the result of the investigation not only shows that areal change and the creation of minute polygons resulted from land alteration could be solved by changing boundary point coordinate from two decimal places to three decimal places, but also suggests that the related laws and regulations to register boundary point coordinate to three decimal places should be institutionally corrected and applied.

Fixed-point Processing Optimization of MPEG Psychoacoustic Model-II Algorithm for ASIC Implementation (MPEG 심리음향 모델-ll 알고리듬의 ASIC 구현을 위한 고정 소수점 연산 최적화)

  • Lee Keun-Sup;Park Young-Cheol;Youn Dae Hee
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.11C
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    • pp.1491-1497
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    • 2004
  • The psychoacoustic model in MPEG audio layer-III (MP3) encoder is optimized for the fixed-point processing. The optimization process consists of determining the data word length of arithmetic unit and the algorithm for transcendental functions that are often used in the psychoacoustic model. In order to determine the data word length, we defined a statistical model expressing the relation between the fixed-point operation errors of the psychoacoustic model and the probability of alteration of the allocated bits doe to these errors. Based on the simulations using this model, we chose a 24-bit data path and constructed a 24-bit fixed-point MP3 encoder. Sound quality tests using the constructed fixed-point encoder showed a mean degradation of -0.2 on ITU-R 5-point audio impairment scale.

An Analysis of the PCK of Teachers and Their Educational Practice about Division of Decimals (소수 나눗셈에 대한 교사의 PCK와 실제 수업의 분석)

  • Kim, Bang-Jin;Ryu, Sung-Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.533-557
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    • 2011
  • The purpose of this study was to understand PCK to improve professionalism of teachers and derive implications about proper teachings methods. For achieving these research purposes, different PCK and teaching methods in class of three teachers(A, B, C) were compared and analyzed targeting division of decimals for 6th grade. For this study, criteria of PCK analysis of teachers was set, PCK questionnaires were produced and distributed, teachers had interviews, PCK of teachers were analyzed, division of decimals class for 6th grade was observed and analyzed, and PCK of teachers and their classes were compared. The implications deriving from comparative analyzing PCK and classes are as follows. First of all, there was a close relation between PCK and classes, leading to a need for efforts of increasing PCK of teachers in every field in order to realize effective classes. Secondly, self study and in-service training are needed to enhance PCK of teachers. Thirdly, more of expertises and materials have to be provided on the instruction manual for teachers.

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A Case Study about Influence of Primary Mathematic Concepts on the Composition of Mathematic Concepts in 3rd Grade Prodigies of Elementary Schools -Focusing on Addition of Decimals- (수학의 1차적 개념이 초등학교 3학년 영재아의 수학적 개념구성 과정에 미치는 영향에 대한 사례연구 -소수의 덧셈을 중심으로-)

  • Kim, Hwa-Soo
    • The Journal of the Korea Contents Association
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    • v.17 no.9
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    • pp.437-448
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    • 2017
  • This study was conducted as a qualitative case study for examining what transformed primary concepts and transformed schemas were formed for the addition of decimals and how they were formed, and how the relational understanding of the addition of decimals was in three 3rd grade elementary school children who had studied the primary concepts of division, fraction and decimal. That is, this study investigated how the subjects approached problems of decimal addition using transformed primary concepts and transformed schemas formed by themselves, and how the subjects formed concepts and transformed schemas in problem solving. According to the results of this study, transformed primary concepts and transformed schemas formed through the learning of the primary concepts of division, fraction, and decimal functioned as important factors for the relational understanding of decimal addition.