• 호남수학학술지
• /
• 제31권3호
• /
• pp.421-428
• /
• 2009

Given operators X and Y acting on a Hilbert space $\mathcal{H}$, an interpolating operator is a bounded operator A such that AX = Y. In this paper, we showed the following : Let $\mathcal{L}$ be a subspace lattice acting on a Hilbert space $\mathcal{H}$ and let $X_i$ and $Y_i$ be operators in B($\mathcal{H}$) for i = 1, 2, ${\cdots}$. Let $P_i$ be the projection onto $\overline{rangeX_i}$ for all i = 1, 2, ${\cdots}$. If $P_kE$ = $EP_k$ for some k in $\mathbb{N}$ and all E in $\mathcal{L}$, then the following are equivalent: (1) $sup\;\{{\frac{{\parallel}E^{\perp}({\sum}^n_{i=1}Y_if_i){\parallel}}{{\parallel}E^{\perp}({\sum}^n_{i=1}Y_if_i){\parallel}}:f{\in}H,n{\in}{\mathbb{N}},E{\in}\mathcal{L}}\}$ < ${\infty}$ range $\overline{rangeY_k}\;=\;\overline{rangeX_k}\;=\;\mathcal{H}$, and < $X_kf,\;X_kg$ >=< $Y_kf,\;Y_kg$ > for some k in $\mathbb{N}$ and for all f and g in $\mathcal{H}$. (2) There exists an operator A in Alg$\mathcal{L}$ such that $AX_i$ = $Y_i$ for i = 1, 2, ${\cdots}$ and AA$^*$ = I = A$^*$A.

• 호남수학학술지
• /
• 제30권2호
• /
• pp.329-334
• /
• 2008

Given operators X and Y acting on a Hilbert space $\mathcal{H}$, an interpolating operator is a bounded operator A such that AX = Y. In this article, the following is proved: Let $\mathcal{L}$ be a subspace lattice on $\mathcal{H}$ and let X and Y be operators acting on a Hilbert space H. Let P be the projection onto the $\overline{rangeX}$. If PE = EP for each E ${\in}$ $\mathcal{L}$, then the following are equivalent: (1) sup ${{\frac{{\parallel}E^{\perp}Yf{\parallel}}{{\parallel}E^{\perp}Xf{\parallel}}}:f{\in}\mathcal{H},\;E{\in}\mathcal{L}}$ < ${\infty},\;\overline{rangeY}\;{\subset}\;\overline{rangeX}$, and there is a bounded operator T acting on $\mathcal{H}$ such that < Xf, Tg >=< Yf, Xg >, < Tf, Tg >=< Yf, Yg > for all f and gin $\mathcal{H}$ and $T^*h$ = 0 for h ${\in}\;{\overline{rangeX}}^{\perp}$. (2) There is a normal operator A in AlgL such that AX = Y and Ag = 0 for all g in range ${\overline{rangeX}}^{\perp}$.

• 한국정밀공학회지
• /
• 제21권12호
• /
• pp.13-20
• /
• 2004

Manufacturing process for the microfluidic device can include such sequential steps as master fabrication, electroforming, and injection molding. The laser ablation using masks has been applied to the fabrication of channels in microfluidic devices. In this study, manufacturing of polymer master and mold insert for micro injection molding was investigated. Ablation of PET (polyethylene terephthalate) by the excimer laser radiation could be used successfully to make three dimensional master fur nickel mold insert. The mechanism fur ablative decomposition of PET with KrF excimer laser $({\lambda}: 248 nm, pulse duration: 5 ns)$ was explained by photochemical process, while ablation mechanism of PMMA (polymethyl methacrylate) is dominated by photothermal process, the .eaction between PC (polycarbonate) and KrF excimer laser beam generate too much su.face debris. Thus, PET was adopted in polymer master for nickel mold insert. Nickel electroforming using laser ablated PET master was preferable for replication method. Finally, it was shown that excimer laser ablation can substitute for X-ray lithography of LIGA process in microstructuring.

• 한국정보과학회 언어공학연구회:학술대회논문집(한글 및 한국어 정보처리)
• /
• 한국정보과학회언어공학연구회 2020년도 제32회 한글 및 한국어 정보처리 학술대회
• /
• pp.462-467
• /
• 2020

대역사전의 구축은 저자원 언어쌍 간의 기계번역의 품질을 높이는데 있어 중요하다. 대역사전 구축을 위해 기존에 제시된 방법론 중 단어 임베딩을 기반으로 하는 방법론 대부분이 영어-프랑스어와 같이 형태적 및 구문적으로 유사한 언어쌍 사이에서는 높은 성능을 보이지만, 영어-중국어와 같이 유사하지 않은 언어쌍에 대해서는 그렇지 못하다는 사실이 널리 알려져 있다. 본 논문에서는 단어 임베딩을 기반으로 부트스트래핑을 통해 대역사전을 구축하는 방법론을 제안한다. 제안하는 방법론은 소량의 seed 사전으로부터 시작해 반복적인 과정을 통해 대역사전을 자동으로 구축하게 된다. 이후, 본 논문의 방법론을 이용해 한국어-영어 언어쌍에 대한 실험을 진행하고, 기존에 대역사전 구축 용도로 많이 활용되고 있는 도구인 Moses에 사용된 방법론과 F1-Score 성능을 비교한다. 실험 결과, F1-Score가 약 42%p 증가함을 확인할 수 있었으며, 초기에 입력해준 seed 사전 대비 7배 크기의 대역사전을 구축하였다.

• 한국방사선학회논문지
• /
• 제17권3호
• /
• pp.297-303
• /
• 2023

소아 전산화단층촬영(Computed Tomography, CT) 검사 시 어린 환자들의 협조가 어려워 검사 실패나 재검사가 빈번히 발생할 수 있다. 딥러닝 이미지 재구성(Deep Learning Image Reconstruction, DLIR) 방법은 방사선 감수성이 높은 소아 환자들의 CT 검사에서 재검사율을 낮추면서 진단적 가치가 높은 영상을 획득할 수 있다. 본 연구에서는 DLIR을 적용하여 소아 흉부 CT 검사에서 호흡이나 움직임으로 인한 노이즈를 줄이고 임상적으로 유용한 영상을 얻기 위한 가능성을 조사하였다. 경상남도 소재의 P병원에서 7세 미만의 소아 43명의 흉부 CT 검사 데이터를 후향적으로 분석하였으며, 필터링 역 투영 재구성법(Filtered Back Projection, FBP), 반복적 재구성법(Adaptive Statistical Iterative Reconstruction, ASIR-50), 딥러닝 알고리즘인 True Fidelity-Middle(TF-M)의 영상을 비교하였다. 조영 증강된 흉부 영상 중 오른쪽 상행 대동맥(Ascending Aorta, AA)과 등 근육(Back Muscle, BM)에 동일한 ROI를 그리고 각 영상에서 HU값을 이용하여 노이즈(Standard deviation, SD)를 측정하였다. 통계분석은 SPSS(ver. 22.0)를 사용하여 세 측정치의 평균값을 일원 배치 분산분석(One-way ANOVA)으로 분석하였다. 연구의 결과로 AA의 SD값은 FBP=25.65±3.75, ASIR-50=19.08±3.93, TF-M=17.05±4.45 로 나타났으며(F=66.72, p=0.00), BM의 SD값은 FBP=26.64±3.81, ASIR-50=19.19±3.37, TF-M=19.87±4.25 로 나타났다(F=49.54, p=0.00). 사후검정의 결과는 세 그룹간 유의한 차이가 있었다. DLIR 재구성 방법은 기존의 재구성 방법과 비교하여 유의하게 낮은 노이즈 값을 보였다. 따라서 딥러닝 알고리즘인 TrueFidelity-Middle(TF-M)의 적용은 소아 흉부 CT 검사 시 호흡이나 움직임에 의한 영상 화질의 저하를 줄일 수 있어 임상적으로 매우 유용하게 활용될 것으로 기대된다.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제11권1호
• /
• pp.29-36
• /
• 2004

Given vectors x and ｙ in a Hilbert space, an interpolating operator is a bounded operator T such that Tx=y. In this paper the following is proved: Let $\cal{L}$ be a subspace lattice on a Hilbert space $\cal{H}$. Let x and ｙ be vectors in $\cal{H}$ and let $P_x$, be the projection onto sp(x). If $P_xE=EP_x$ for each $ E \in \cal{L}$ then the following are equivalent. (1) There exists an operator A in Alg(equation omitted) such that Ax=y, Af = 0 for all f in ($sp(x)^\perp$) and $A=-A^\ast$. (2) (equation omitted)

• Journal of electromagnetic engineering and science
• /
• 제10권3호
• /
• pp.166-170
• /
• 2010

To numerically calculate electromagnetic scattering from the electrical-large three-dimensional(3D) objects, the high-frequency approaches have been usually applied, but the accuracy and feasibility of these geometrical and physical optics(GO-PO) approaches, to some extent, are remained to be improved. In this paper, a new framework is developed for calculation of the near-field scattering field of an electrical-large 3D target by using a multilevel fast multipole algorithm(MLFMA) and generation of radar images by using a fast back-projection(FBP) algorithm. The MPI(Message Passing Interface) parallel computing is carried out to multiply the calculation efficiency greatly. Finally, a simple example of perfectly electrical conducting(PEC) patch and a canonical case of Fighting Falcon F-16 are presented.

• 대한기계학회논문집A
• /
• 제23권6호
• /
• pp.1039-1047
• /
• 1999

It is necessary to evaluate the fatigue behavior of rail steel under the multi-axial stress state to assure the railway vehicle's safety. For this purpose, the stress analysis to investigate the crack initiation criteria, static failure and fatigue behavior under mixed-mode are performed. The stress analysis results show that the initiation of the transverse fissure depends on the maximum shear stress below the surface. For the mixed mode, the fatigue crack growth behavior which is represented by the projection crack length and comparative S.I.F, ${\Delta}K_v$, shows the more conservative results. Also, its rate is lower than that of the case of the mode I, and this difference decreases with increasing the stress ratio, R.

• 응용통계연구
• /
• 제22권1호
• /
• pp.205-220
• /
• 2009

For modeling skewed semicircular data, we derive new family of the exponential distributions. We extend it to the l-axial exponential distribution by a transformation for modeling any arc of arbitrary length. It is straightforward to generate samples from the f-axial exponential distribution. Asymptotic result reveals two things. The first is that linear exponential distribution can be used to approximate the l-axial exponential distribution. The second is that the l-axial exponential distribution has the asymptotic memoryless property though it doesn't have strict memoryless property. Some trigonometric moments are also derived in closed forms. Maximum likelihood estimation is adopted to estimate model parameters. Some hypotheses tests and confidence intervals are also developed. The Kolmogorov-Smirnov test is adopted for goodness of fit test of the l-axial exponential distribution. We finally obtain a bivariate version of two kinds of the l-axial exponential distributions.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
• /
• pp.247-250
• /
• 2001

In this paper, we propose an growing and pruning algorithm to design the adaptive structure of modular wavelet neural network(MWNN) with F-projection and geometric growing criterion. Geometric growing criterion consists of estimated error criterion considering local error and angle criterion which attempts to assign wavelet function that is nearly orthogonal to all other existing wavelet functions. These criteria provide a methodology that a network designer can constructs wavelet neural network according to one's intention. The proposed growing algorithm grows the module and the size of modules. Also, the pruning algorithm eliminates unnecessary node of module or module from constructed MWNN to overcome the problem due to localized characteristic of wavelet neural network which is used to modules of MWNN. We apply the proposed constructing algorithm of the adaptive structure of MWNN to approximation problems of 1-D function and 2-D function, and evaluate the effectiveness of the proposed algorithm.