• 대한수학회지
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• 제50권2호
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• pp.331-360
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• 2013

Let ${\sigma}_s(N)$ denote the sum of the sth powers of the positive divisors of a positive integer N and let $\tilde{\sigma}_s(N)={\sum}_{d|N}(-1)^{d-1}d^s$ with $d$, N, and s positive integers. Hahn [12] proved that $$16\sum_{k. In this paper, we give a generalization of Hahn's result. Furthermore, we find the formula ${\sum}_{k=1}^{N-1}\tilde{\sigma}_1(2^{n-m}k)\tilde{\sigma}_3(2^nN-2^nk)$ for $m(0{\leq}m{\leq}n)$.

• 한국재료학회지
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• 제2권5호
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• pp.330-336
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• 1992

질화규소 소재로 S${i_3}{N_4}$-8%${Y_2}{O_3}$, S${i_3}{N_4}$-6% ${Y_2}{O_3}$-2% $A{l_2}{O_3}$, S${i_3}{N_4}$-4% ${Y_2}{O_3}$-3% $A{l_2}{O_3}$, 그리고 S${i_3}{N_4}$-1% MgO-1% Si$O_2$의 4가지 조성을 선정하여 주상모양의 ${\beta}$-S${i_3}{N_4}$결정상을 성장시켰으며, XRD, SEM, 입도분석과 기계적 특성을 조사하였다. S${i_3}{N_4}$-8% ${Y_2}{O_3}$에서는 파괴인성값을 9.8MPa$m^{1/2}$까지 얻었으며 200$0^{\circ}C$에서 열처리한 후에도 파괴강도(>900MPa)의 감소없이 파괴인성이 8.0MPa$m^{1/2}$이상인 S${i_3}{N_4}$-6% ${Y_2}{O_3}$-2% ${l_2}{O_3}$, 와 S${i_3}{N_4}$-4% ${Y_2}{O_3}$-3% $A{A_2}{O_3}$를 얻었다. 질화규소의 파괴인성이 ${\beta}$-S${i_3}{N_4}$-결정상 크기의 증가에 따라 직선적으로 증가하는 관계를 갖는 파괴인성에 대한 미세구조의 영향을 고찰하였다.

• 한국콘텐츠학회논문지
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• 제6권5호
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• pp.29-34
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• 2006

본 연구에서는, Banach 공간의 값을 갖는 확률요소들의 합 $S_n=\sum_{i=1}^nV-i$ 수렴하는 경우에, Tail 합 $T_n=S-S_{n-1}=\sum_{i=n}^{\infty}V-i$에 대한 대수의 법칙을 고찰하여 $S_n$이 하나의 확률변수 S로 수렴하는 속도를 연구한다. 좀 더 구체적으로 말하자면, 확률변수들의 Tail 합과 확률요소들의 Tail 합에 대한 극한 성질의 유사성을 연구하여, Banach 공간에서 독립인 확률요소들의 Tail 합에 대한 약 대수의 법칙과 하나의 수렴법칙이 동등함을 기술하는 기존의 정리를 다른 대체적인 방법으로 증명한다.

• 치과방사선
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• 제27권2호
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• pp.105-116
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• 1997

The purpose of this study is to evaluate the cephalometric reproducibility in digitized cephalometric radiography by comparing the measurement errors between the remeasured and retaken conventional and digitized lateral cephalometric radiography. The mean of the differences and error percentage of each cephalometric measurement were obtained using 96 lateral cephalometric radiography from 48 patients between the age of 11 and 13. The results were as follows; 1. The repeated measurement group of conventional radiography showed least amount of mean differences while those of the retaken measurement group of digitized image showed largest amount of mean differences in every measurement. 2. The measurements which showed statistically significant difference between the conventional radiography and digitized image were S-Go, Ar-Go, S-Ar-Go and S-sN-sNT in repeated measurement group. 3. The measurements which showed statistically significant difference between the repeated and retaken measurement groups were N-S-Ar, MP-Ll and S-sN-sPog in conventional radiography and S-N, Go-Me and N-A in digitized Image. 4. Large amount of error percentage was shown at A-N-B and N-A in retaken measurement group of conventional radiography and N-S-Ba and A-N-B in retaken measurement group of digitized image. 5. The amount of error percentage at Ar-Go and N-S- Ar in retaken measurement group of conventional radiography and S-N, N-A, S-N-B and N-S-Ba in retaken measurement group of digitized image was more than double than those from remeasured groups.

• 한국의상디자인학회지
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• 제9권1호
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• pp.123-140
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• 2007

Fashion magazine advertising is the most excellent source of information in predicting the fashion trend. It plays a pivotal role in setting a direction for the fashion trend in the upcoming season. The purpose of this study was to review by photos of the $pr{\hat{e}}t-{\acute{a}}-porter$ collection shown in LONDON, NEW YORK, MILAN, and PARIS during 2002-2006 A/W and 2003-2005 S/S seasons, being focused on such fashion items published as coat, dress, one-piece, two-pieces(jacket+skirt/pants, blouse+skirt/pants). In the results of this study, designers presented coat(n=144) chiefly, blouse+pants(n=29) were presented few during 2002-2003 A/W seasons. During 2003-2004 A/W seasons one-piece(n=156) was looking bullish, blouse+pants(n=34) were declining. Dress(n=149) was presented mostly, blouse+pants(n=17) was presented few during 2004-2005 A/W seasons. During 2005-2006 A/W seasons coat(n=180) was revived, blouse+pants(n=26) were presented lowly. Therefore designers presented coat(n=605, 28.4%) extremely much during 2002-2006 A/W seasons. Designers presented one-piece(n=109) much, jacket+pants(n=22) were presented few in 2003 S/S. In 2004 S/S seasons one-piece(n=167) was presented vastly different than jacket+pants(n=42). Also one-piece(n=152) was presented mostly, blouse+pants(n=48) was presented few in 2005 S/S seasons. During 2003-2005 S/S seasons one-piece(n=428, 28.2%) was presented most. And designers in these four world fashion centers didn't prefer blouse+pants in A/W seasons and jacket+pants in S/S seasons. Based on the above findings, it could be confirmed that the fashion items trend was almost similar among the four collections of $pr{\hat{e}}t-{\acute{a}}-porter$. The results of this study suggest that the fashion collections are the most reliable information sources for fashion product planning. Lastly, it is hoped that this study will provide for some useful basic data for domestic fashion businesses in producing fashion items.

• 한국광학회지
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• 제27권6호
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• pp.223-228
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• 2016

액정과 같은 단축 이방성 분자들의 정렬 정도에 따라 달라지는 복굴절으로부터 상대 복굴절 ${\Delta}n_{rel}$를 구하고 ${\Delta}n_{rel}$과 방향질서변수(orientational order parameter) S의 관계를 탐색하였다. 무질서한 분포를 하고 있는 경우를 포함하여 액정의 정렬정도를 달리 표현할 수 있는 분포함수를 도입하고 이 분포함수를 사용하여 질서변수 S가 0부터 1까지 변하도록 액정분자들의 정렬정도를 달리하며 ${\Delta}n_{rel}$과 S를 수치계산 하였다. 이 계산 결과로부터 s와 ${\Delta}n_{rel}$는 $S=(1+a){\Delta}n_{rel}-a{\Delta}n^2_{rel}$와 같이 준선형적인 관계를 만족하며 a는 $n_o{\frac{{\Delta}n}{4}}$으로 근사할 수 있음을 확인하였다. 또한 복굴절으로부터 Vuks의 방법에 따라 구한 분자분극의 이방성과 Neugebauer의 방법에 따라 구한 분자분극의 이방성이 각각 질서변수 S와 또 다른 준선형 관계식들을 따름을 보였다.

• Toxicological Research
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• 제14권2호
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• pp.177-181
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• 1998

Dithiocarbamate and mixed disulfide containing allyl functions were designed and synthesized as putative chemopreventive agents, i.e. N,N-diallyldithiocarbamate (DATC) and S-(N,N-diallyldithiocarbamoyl)-N-acetylcysteine (AC-DATC). DATC and AC-DATC were administered and the activities of cytosolic glutathione S-transferase (GST), glutathione reductase (GR) and microsomal N-nitrosodiethylamine (NDEA) deethylase were assayed in order to test the effects of these organosulfur com-pounds on the detoxification and metabolic activation system of NDEA. The amounts of hepatic glutathione (GSH and GSSG) was also determined. The administration of DATC to rats led to an increase in the activity of GR and to an inhibition of CYP2E1-mediated NDEA deethylation. AC-DATC induced the activity of GR and GST, increased the hepatic GSH content and inhibited the rate of NDEA deethylation. The level of GSSG was decreased as a consequence of the increased activity of GR. These effects may contribute to possible antimutagenic and anticarcinogenic action of the dithiocarbamates investigated.

• 한국광학회지
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• 제28권1호
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• pp.33-38
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• 2017

액정과 같은 단축 이방성 분자들의 상대 복굴절 ${\Delta}n_{rel}$과 질서변수 S가 만족하는 준선형 관계식인 $S=(1+a){\Delta}n_{rel}-a{\Delta}n^2_{rel}$이 보편적인 관계식임을 확인하였다. 액정분자들이 정다면체 대칭분포를 할 경우 굴절률은 등방적이며 $\frac{1}{n^2_{av}}=\frac{1}{3}\(\frac{1}{n^2_e}+\frac{2}{n^2_o}\)$와 같이 구해짐을 확인하였다. 정다면체 대칭성을 가지는 액정의 기본 분포에 분포함수 가중치를 가하여 액정의 정렬정도를 바꾸며 ${\Delta}n_{rel}$과 S를 수치계산 하였다. 또한 액정이 z축 주위 회전대칭성을 가지는 깔때기 모양으로 분포하고 있을 때 깔때기의 중심각을 변화시키며 ${\Delta}n_{rel}$과 S를 수치계산 하였다. 이로부터 S와 ${\Delta}n_{rel}$의 준선형 관계식이 액정의 분포형태와는 무관한 보편적인 관계식임을 보였다.

• Bulletin of the Korean Chemical Society
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• 제22권4호
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• pp.421-423
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• 2001

• 대한수학회지
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• 제34권2호
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• pp.321-336
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• 1997

Let S be the Ricci curvature of an n-dimensional compact minimal totally real submanifold M of a quaternion projective space $HP^n (c)$ of quaternion sectional curvature c. We proved that if $S \leq \frac{16}{3(n -2)}c$, then either $S \equiv \frac{4}{n - 1}c$ (i.e. M is totally geodesic or $S \equiv \frac{16}{3(n - 2)}c$. All compact minimal totally real submanifolds of $HP^n (c)$ satisfy in $S \equiv \frac{16}{3(n - 2)}c$ are determined.