• 제목/요약/키워드: D1/D2 domain

검색결과 625건 처리시간 0.029초

The intermediate solution of quasilinear elliptic boundary value problems

  • Ko, Bong-Soo
    • 대한수학회지
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    • 제31권3호
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    • pp.401-416
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    • 1994
  • We study the existence of an intermediate solution of nonlinear elliptic boundary value problems (BVP) of the form $$ (BVP) {\Delta u = f(x,u,\Delta u), in \Omega {Bu(x) = \phi(x), on \partial\Omega, $$ where $\Omega$ is a smooth bounded domain in $R^n, n \geq 1, and \partial\Omega \in C^{2,\alpha}, (0 < \alpha < 1), \Delta$ is the Laplacian operator, $\nabla u = (D_1u, D_2u, \cdots, D_nu)$ denotes the gradient of u and $$ Bu(x) = p(x)u(x) + q(x)\frac{d\nu}{du} (x), $$ where $\frac{d\nu}{du} denotes the outward normal derivative of u on $\partial\Omega$.

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GRADED INTEGRAL DOMAINS AND NAGATA RINGS, II

  • Chang, Gyu Whan
    • Korean Journal of Mathematics
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    • 제25권2호
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    • pp.215-227
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    • 2017
  • Let D be an integral domain with quotient field K, X be an indeterminate over D, K[X] be the polynomial ring over K, and $R=\{f{\in}K[X]{\mid}f(0){\in}D\}$; so R is a subring of K[X] containing D[X]. For $f=a_0+a_1X+{\cdots}+a_nX^n{\in}R$, let C(f) be the ideal of R generated by $a_0$, $a_1X$, ${\ldots}$, $a_nX^n$ and $N(H)=\{g{\in}R{\mid}C(g)_{\upsilon}=R\}$. In this paper, we study two rings $R_{N(H)}$ and $Kr(R,{\upsilon})=\{{\frac{f}{g}}{\mid}f,g{\in}R,\;g{\neq}0,{\text{ and }}C(f){\subseteq}C(g)_{\upsilon}\}$. We then use these two rings to give some examples which show that the results of [4] are the best generalizations of Nagata rings and Kronecker function rings to graded integral domains.

Shank3 PDZ 도메인의 동정, 정제 및 1차 NMR 구조분석 (Cloning, Purification, and Structural Characterization by 1D 1H-NMR of the PDZ domain of the Shank3 protein)

  • 성미숙
    • 생명과학회지
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    • 제17권3호통권83호
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    • pp.345-349
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    • 2007
  • PDZ 도메인을 통하여 여러 단백질과 상호작용하며 신경전달 기전에 관여하는 단백질로 Shank1, Shank2, Shank3, PDS-95, AF있다. 본 연구는 Shank3 PDZ 도메인의 구조를 밝히기 위한 첫 단계로서 Shank3 단백질의 PDZ 도메인을 동정하였고, E. coli에서 발현하여 생성된 단백질을 정제한 후 1차 NMR 구조분석을 시도하였다. 그 결과에 의하면 정제된 Shank3 PDZ 단백질은 순도가 높고 안정적인 접힘(folding)구조를 제시하고있다. 현재 완전한 NMR 구조분석을 위해 좀더 많은 양의 정제된 Shank3 PDZ 단백질을 얻고자 연구하고 있다.

SELF-SIMILAR SOLUTIONS FOR THE 2-D BURGERS SYSTEM IN INFINITE SUBSONIC CHANNELS

  • Song, Kyung-Woo
    • 대한수학회보
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    • 제47권1호
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    • pp.29-37
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    • 2010
  • We establish the existence of weak solutions in an infinite subsonic channel in the self-similar plane to the two-dimensional Burgers system. We consider a boundary value problem in a fixed domain such that a part of the domain is degenerate, and the system becomes a second order elliptic equation in the channel. The problem is motivated by the study of the weak shock reflection problem and 2-D Riemann problems. The two-dimensional Burgers system is obtained through an asymptotic reduction of the 2-D full Euler equations to study weak shock reflection by a ramp.

CRYSTAL STRUCTURE OF tRNA ($m^1$ G37) METHYLTRANSFERASE

  • Ahn, Hyung-Jun;Lee, Byung-Ill;Yoon, Hye-Jin;Yang, Jin-Kuk;Suh, Se-Won
    • 한국결정학회:학술대회논문집
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    • 한국결정학회 2003년도 춘계학술연구발표회
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    • pp.17-17
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    • 2003
  • tRNA (m¹ G37) methyltransferase (TrmD) catalyze s the trans for of a methyl group from S-adenosyl-L-methionine (AdoMet) to G/sup 37/ within a subset of bacterial tRNA species, which have a residue G at 36th position. The modified guanosine is adjacent to and 3' of the anticodon and is essential for the maintenance of the correct reading frame during translation. We have determined the first crystal structure of TrmD from Haemophilus influenzae, as a binary complex with either AdoMet or S-adenosyl-L-homocysteine (AdoHcy), as a ternary complex with AdoHcy/phosphate, and as an apo form. The structure indicates that TrmD functions as a dimer (Figure 1). It also suggests the binding mode of G/sup 36/G/sup 37/ in the active site of TrmD and catalytic mechanism. The N-terminal domain has a trefoil knot, in which AdoMet or AdoHcy is bound in a novel, bent conformation. The C-terminal domain shows a structural similarity to DNA binding domain of trp or tot repressor. We propose a plausible model for the TrmD₂-tRNA₂ complex, which provides insights into recognition of the general tRNA structure by TrmD (Figure 2).

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공간영역에서의 2차원 분모분리형 디지틀 필터의 최적설계 (Optimal Design of 2-D Separable Denominator Digital Filters in Spatial Domain)

  • 정남채;문용선;박종안
    • 한국통신학회논문지
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    • 제17권4호
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    • pp.387-397
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    • 1992
  • 저차원분해을 이용한 분모분란형 디지틀 필터(SDDF)의 공간영역설계는 특이치분해(SVD)에 의하여 주어진 2차원 임펄스 응답설계명세조건이 한쌍의 1차원 설계명세조건으로 분해될 때 실현될 수 있는데, 1차원 설계 알고리즘으로서 평형형근사와 등가변환을 사용하기 때문에 알고리즘이 수치적으로 안정하며 양자화 오차를 최소화할 수 있다. 본 논문에서는 이들 오차를 분석하고 감소시키기 위하여 임펄스 응답 설계명세조건으로부터 직접 최소 계산양자화 실현을 유도하고 또한 최소계산양자화 오차와 최소 Round off 오차 실현 사이의 등가변환 관계로부터 SDDF를 최적실현한다. 이러한 알고리즘은 시뮬레이션에 의하여 분석되어지는데 양자화오차 문제에 있어서 직접형이나 평형형 실현보다 우수한 특성을 갖는다.

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자가학습과 지식증류 방법을 활용한 LiDAR 3차원 물체 탐지에서의 준지도 도메인 적응 (Semi-Supervised Domain Adaptation on LiDAR 3D Object Detection with Self-Training and Knowledge Distillation)

  • 우정완;김재열;임성훈
    • 로봇학회논문지
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    • 제18권3호
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    • pp.346-351
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    • 2023
  • With the release of numerous open driving datasets, the demand for domain adaptation in perception tasks has increased, particularly when transferring knowledge from rich datasets to novel domains. However, it is difficult to solve the change 1) in the sensor domain caused by heterogeneous LiDAR sensors and 2) in the environmental domain caused by different environmental factors. We overcome domain differences in the semi-supervised setting with 3-stage model parameter training. First, we pre-train the model with the source dataset with object scaling based on statistics of the object size. Then we fine-tine the partially frozen model weights with copy-and-paste augmentation. The 3D points in the box labels are copied from one scene and pasted to the other scenes. Finally, we use the knowledge distillation method to update the student network with a moving average from the teacher network along with a self-training method with pseudo labels. Test-Time Augmentation with varying z values is employed to predict the final results. Our method achieved 3rd place in ECCV 2022 workshop on the 3D Perception for Autonomous Driving challenge.

NOTES ON CARLESON TYPE MEASURES ON BOUNDED SYMMETRIC DOMAIN

  • Choi, Ki-Seong
    • 대한수학회논문집
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    • 제22권1호
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    • pp.65-74
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    • 2007
  • Suppose that $\mu$ is a finite positive Borel measure on bounded symmetric domain $\Omega{\subset}\mathbb{C}^n\;and\;\nu$ is the Euclidean volume measure such that $\nu(\Omega)=1$. Suppose 1 < p < $\infty$ and r > 0. In this paper, we will show that the norms $sup\{\int_\Omega{\mid}k_z(w)\mid^2d\mu(w)\;:\;z\in\Omega\}$, $sup\{\int_\Omega{\mid}h(w)\mid^pd\mu(w)/\int_\Omega{\mid}h(w)^pd\nu(w)\;:\;h{\in}L_a^p(\Omega,d\nu),\;h\neq0\}$ and $$sup\{\frac{\mu(E(z,r))}{\nu(E(z,r))}\;:\;z\in\Omega\}$$ are are all equivalent. We will also show that the inclusion mapping $ip\;:\;L_a^p(\Omega,d\nu){\rightarrow}L^p(\Omega,d\mu)$ is compact if and only if lim $w\rightarrow\partial\Omega\frac{\mu(E(w,r))}{\nu(E(w,r))}=0$.

시간-주파수 스무딩이 적용된 소프트 마스크 필터를 이용한 단일 채널 음성 분리 (Single-Channel Speech Separation Using the Time-Frequency Smoothed Soft Mask Filter)

  • 이윤경;권오욱
    • 대한음성학회지:말소리
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    • 제67호
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    • pp.195-216
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    • 2008
  • This paper addresses the problem of single-channel speech separation to extract the speech signal uttered by the speaker of interest from a mixture of speech signals. We propose to apply time-frequency smoothing to the existing statistical single-channel speech separation algorithms: The soft mask and the minimum-mean-square-error (MMSE) algorithms. In the proposed method, we use the two smoothing later. One is the uniform mask filter whose filter length is uniform at the time-Sequency domain, and the other is the met-scale filter whose filter length is met-scaled at the time domain. In our speech separation experiments, the uniform mask filter improves speaker-to-interference ratio (SIR) by 2.1dB and 1dB for the soft mask algorithm and the MMSE algorithm, respectively, whereas the mel-scale filter achieves 1.1dB and 0.8dB for the same algorithms.

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광섬유 브라그 격자를 이용한 퓨리어 영역 광 결맞음 단층 촬영에서의 파수영역 선형화 (K-domain Linearization Using Fiber Bragg Grating Array Based on Fourier Domain Optical Coherence Tomography)

  • 이병창;엄태중;전민용
    • 한국광학회지
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    • 제22권2호
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    • pp.72-76
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    • 2011
  • 반도체 광 증폭기와 파브리-페롯 가변 필터를 이용한 파장 훑음 레이저 기반 광 결맞음 단층 촬영을 구성하고, 이로부터 선명한 이미징을 얻기 위한 파수 영역 선형화를 구현하였다. 파수 영역 선형화는 5 개의 서로다른 공진 파장을 가진 광섬유 격자로 이루어진 어레이를 이용하여 보간법으로 수행하였다. 샘플단의 1 mm 깊이에서 파수 영역 선형화를 수행한 후 점 분포 함수(point spread function)로부터 측정한 SNR(signal-to-noise ratio)은 12 dB 향상된 값을 얻어냈다. 또한 파수 영역 선형화 전과 후에 대해 슬라이드 글라스를 이용하여 OCT 이미징을 얻어낸 결과 파수 영역 선형화가 매우 잘 되었음을 확인할 수 있었다.