• Title/Summary/Keyword: C/D domain

Search Result 427, Processing Time 0.03 seconds

CIRCULAR DISTORTION AND THE DOUBLE DISK PROPERTY OF CURVES

  • Kim, Ki-Won
    • Journal of the Korean Mathematical Society
    • /
    • v.34 no.1
    • /
    • pp.43-55
    • /
    • 1997
  • Suppose that D is a domain in the extended complex plane $\overline{C} = C \cup {\infty}$. For each $z_0 \in C$ and $C < r < \infty$, we let $B(z_0, r) = {z \in C : $\mid$z - z_0$\mid$ < r}$ and $S(z_0, r) = \partial B(z_0, r)$. For non-empty sets A, $B \subset \overling{C}$, diam (A) is the diameter of A and d(A, B) is the distance of A and B.

  • PDF

An Enhancement of Channel Separability for Stereophonic Signals by Common Mode Rejection Method (동상분 제거에 의한 입체음향의 채널 분리도 개선)

  • Kwon, Ho-Yeol
    • Journal of Industrial Technology
    • /
    • v.18
    • /
    • pp.439-442
    • /
    • 1998
  • In this paper, we firstly suggested C&D (Common mode and Differential mode) model for the representation of a stereophonic signal. Then a measure of stereophonic channel separability is defined as the ratio of differential mode energy to total energy in frequency domain. After that, a new channel separability enhancement scheme is proposed by the control of common mode rejection. Finally, some experimental results are presented in order to verify our scheme.

  • PDF

ON STABILITY OF A TRANSFMISSION PROBLEM

  • Kang, Hyeon-Bae;Seo, Jin-Keun
    • Journal of the Korean Mathematical Society
    • /
    • v.34 no.3
    • /
    • pp.695-706
    • /
    • 1997
  • We investigate the bahivor of the gradient of solutions to the refraction equation $div(( 1+ (k - 1)_\chi D)\nabla u) = 0$ under perturbation of domain D. If $u_h$ are solutions to the refraction equation corresponding to subdomains D and $D_h$ of a domain $\Omega$ in 2 dimensional plane with the same Neumann data on $\partial\Omega$, respectively, we prove that $\left\$\mid$ \nabla(u - u_h) \right\$\mid$_{L^2(\Omega)} \leq C\sqrt{dist(D, D_h)}$ where $dist(D, D_h)$ is the Hausdorff distance between D and $D_h$. We also show that this is the best possible result.

  • PDF

지하유류저장시설 주변의 단열암반 내 지하수유동체계 해석

  • Jo Seong-Il;Kim Cheon-Su;Bae Dae-Seok;Kim Gyeong-Su;Park Gyeong-U;Song Mu-Yeong
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
    • /
    • 2005.04a
    • /
    • pp.292-295
    • /
    • 2005
  • 본 연구는 지하유류저장공동 굴착 시 비교적 정밀하게 해석된 단열체계 및 수리인자를 토대로 투수성구조영역과 수리암반영역으로 세분화하여 연구지역의 불규칙하고 복잡한 지하수유동체계를 해석해 보고자 하였다. FZ-2 구조대와 인접한 수리암반영역 Domain-A와 B는 Domain-C와 D에 비해 수평수벽공의 초기압이 최대 약 $15kg/cm^2$정도 높으며, 상 하부의 수리적 연결성이 양호하여 지하공동굴착 시 상 하부의 수위차가 크지 않고 지하수 함양량은 약 $35{\sim}50mm/year$의 범위를 보인다. 또한 공동굴착 시 투수성 단열과의 교차에 의한 수위강하에 민감한 반응을 보이며 상 하부의 수위강하양상이 유사한 특성을 나타낸다. 반면, FZ-1 구조대와 인접한 Domain-C와 D는 지하공동 부근의 수리전도도가 각각 $7{\times}10^{-10},\;2{\times}10^{-9}m/sec$로 Domain-A와 B에 비해 최대 약 6배정도 낮고, 상 하부의 수리적 연결성이 양호하지 않기 때문에 공동굴착 전 이중수위측정시설 설치 시 계측된 상 하부의 수위차는 최대 약 120 m로 매우 크다. 그리고 상부의 지하수는 하부의 낮은 수리전도도로 인하여 수직방향보다 수평방향으로의 유동이 우세하며 공동굴착 시 수위변화는 크지 않고 함양량은 $10{\sim}15mm/year$의 범위를 나타낸다.

  • PDF

TIGHT MATRIX-GENERATED GABOR FRAMES IN $L^2(\mathbb{R}^d)$ WITH DESIRED TIME-FREQUENCY LOCALIZATION

  • Christensen, Ole;Kim, Rae-Young
    • Journal of applied mathematics & informatics
    • /
    • v.26 no.5_6
    • /
    • pp.1247-1256
    • /
    • 2008
  • Based on two real and invertible $d{\times}d$ matrices Band C such that the norm $||C^T\;B||$ is sufficiently small, we provide a construction of tight Gabor frames $\{E_{Bm}T_{Cn}g\}_{m,n{\in}{\mathbb{Z}^d}$ with explicitly given and compactly supported generators. The generators can be chosen with arbitrary polynomial decay in the frequency domain.

  • PDF

EMBEDDING OF WEIGHTED $L^p$ SPACES AND THE $\bar{\partial}$-PROBLEM

  • Cho, Hong-Rae
    • East Asian mathematical journal
    • /
    • v.19 no.1
    • /
    • pp.73-80
    • /
    • 2003
  • Let D be a bounded domain in $\mathbb{C}^n$ with $C^2$ boundary. In this paper, we prove the following inequality $${\parallel}u{\parallel}_{p_2,{\alpha}_2}{\lesssim}{\parallel}u{\parallel}_{p_1,{\alpha}_1}+{\parallel}\bar{\partial}u{\parallel}_{p_1,{\alpha}_1+p_1}/2$$, where $1{\leq}p_1{\leq}p_2<\infty,\;{\alpha}_j>0,(n+{\alpha}_1)/p_1=(n+{\alpha}_1)/p_1=(n+{\alpha}_2)/p_2$, and $1/p_2{\geq}1/p_1-1/2n$.

  • PDF

La doping into $Pb(Zr,\;Ti)O_{3}$ capacitors on domain structures

  • Yang, Bee-Lyong
    • Journal of the Korean Crystal Growth and Crystal Technology
    • /
    • v.12 no.3
    • /
    • pp.157-160
    • /
    • 2002
  • The ferroelectric domain variation and electrical performance of $Pb(Zr,Ti)O_{3}$ (PZT) based capacitors through La additions were systematically studied. La substitution up to 10 % was performed to lower the coercive and saturation voltages of epitaxial ferroelectric capacitors grown on Si using a (Ti_{0.9}Al_{0.1})N/Pt$ conducting barrier composite. Ferroelectric capacitors substituted with 10 % La show significantly lower coercive voltage compared to capacitors with 0 % and 3 % La. This is attributed to a systematic microstructure change into $180^{\circ}C$ domain and decrease in the tetragonality (i.e., c/a ratio) of the ferroelectric phase. These capacitors show promise as storage elements in low power memory architectures.

SURFACE ROUGHNESS EFFECTS ON THE COERCIVITY OF THIN FILM HEADS

  • Kim, Hyunkyu;Horvath, M. Pardavi
    • Journal of the Korean Magnetics Society
    • /
    • v.5 no.5
    • /
    • pp.663-666
    • /
    • 1995
  • The domain wall motion coercivity, $H_{c}$, of magnetic materials arises from the dependence of the wall energy on localized changes in material parameters (magnetization, anisotropy, exchange energy densities). However, in an otherwise perfectly homogeneous material, the domain wall energy might change due to the change in the volume of the wall versus the wall position. Thus, any surface roughness contributes to the coercivity. Assuming different two-dimensional surface profiles, characterized by average wavelengths ${\lambda}_{x}$ and ${\lambda}_{y}$, and relative thickness variations dh/h, the coercivity due to the surface roughness has been calculated. Compared to the one dimensional case, the 2D coercivity is reduced. Depending on the ratio of ${\lambda}$ to the domain wall width, $H_{c}$ has a maximum around 2, and increasing with dh/h. With the decreasing thickness of the thin film and GMR heads, it might be the domain factor in determining the coercivity.

  • PDF

Eigenvalue analysis of IEEE SSR Benchmark System and Its Time-Domain Validation (IEEE SSR 벤치마크 시스템 고유치 해석과 시간영역 검증)

  • Kim, D.J.;Moon, Y.H.;Song, C.K.
    • Proceedings of the KIEE Conference
    • /
    • 2007.07a
    • /
    • pp.446-448
    • /
    • 2007
  • This paper presents the high frequency (HF) eigenvalue results against IEEE SSR First Benchmark Mode and validation using the simultaneous time-domain simulation program, PSCAD/EMTDC. Two results show a little difference but not much. Particularly, HF eigenvalue analysis results tends to give more conservative results compared to those of the exact time-domain simulation.

  • PDF

A New Protein Factor in the Product Formation of Non-Reducing Fungal Polyketide Synthase with a C-Terminus Reductive Domain

  • Balakrishnan, Bijinu;Chandran, Ramya;Park, Si-Hyung;Kwon, Hyung-Jin
    • Journal of Microbiology and Biotechnology
    • /
    • v.25 no.10
    • /
    • pp.1648-1652
    • /
    • 2015
  • Azaphilone polyketides are synthesized by iterative non-reducing fungal polyketide synthases (NR-fPKSs) with a C-terminus reductive domain (-R). Several azaphilone biosynthetic gene clusters contain a putative serine hydrolase gene; the Monascus azaphilone pigment (MAzP) gene cluster harbors mppD. The MAzP productivity was significantly reduced by a knockout of mppD, and the MAzP NR-fPKS-R gene (MpPKS5) generated its product in yeast only when co-expressed with mppD. Site-directed mutations of mppD for conserved Ser/Asp/His residues abolished the product formation from the MpPKS5/mppD co-expression. MppD and its homologs are thus proposed as a new protein factor involved in the product formation of NR-fPKS-R.