• 제목/요약/키워드: $T_D$-space

검색결과 516건 처리시간 0.027초

A PRIORI L2 ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • 대한수학회지
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    • 제51권1호
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    • pp.67-86
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    • 2014
  • Based on an expanded mixed finite element method, we consider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on ${\Omega}{\subset}R^d$, $1{\leq}d{\leq}3$. We construct the semidiscrete approximations of ${\nabla}u$ and $a(u){\nabla}u+b(u){\nabla}u_t$ as well as u and prove the existence of the semidiscrete approximations. And also we prove the optimal convergence of ${\nabla}u$ and $a(u){\nabla}u+b(u){\nabla}u_t$ as well as u in $L^2$ normed space.

Cosmic Evolution of Disk Galaxies seen through Bars

  • Kim, Taehyun;Sheth, Kartik;Athanassoula, Lia;Bosma, Albert
    • 천문학회보
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    • 제42권1호
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    • pp.31.3-31.3
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    • 2017
  • The presence of a bar in disk galaxies indicates that galaxies reached their dynamical maturity, and secular evolution has started to play key roles in the evolution of disk galaxies. Numerical simulations predicted that as a barred galaxy evolves, the bar becomes longer by capturing its immediate neighbor disk stars. We test the hypothesis by exploring bar lengths and measuring the light deficit around the bar at various redshift. Supplementing already classified barred galaxies in later type disk galaxies ($$T{\geq_-}2$$, Sheth et al. 2008), we classify barred galaxies among earlier type disk galaxies (T<2) up to z~0.8 using F814W images from the Cosmic Evolution Survey (COSMOS). We estimate the length of bars analytically for ~400 galaxies, and find that there is a slight decrease in bar length with redshift. We also find that longer bars show more prominent light deficit around the bar and this trend is stronger for nearby galaxies. Our results are consistent with the predictions from numerical simulations, and imply that the bar induced secular evolution is already in place since z~0.8. 

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APPROXIMATION OF COMMON FIXED POINTS OF NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Kim, Jong-Kyu;Dashputre, Samir;Diwan, S.D.
    • East Asian mathematical journal
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    • 제25권2호
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    • pp.179-196
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    • 2009
  • Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let $T_i:K{\rightarrow}E$ be an asymptotically nonexpansive mappings with sequence ${\{k_n^{(i)}\}\subset[1,{\infty})$ such that $\sum_{n-1}^{\infty}(k_n^{(i)}-1)$ < ${\infty},\;k_{n}^{(i)}{\rightarrow}1$, as $n{\rightarrow}\infty$ and F(T)=$\bigcap_{i=3}^3F(T_i){\neq}{\phi}$ (the set of all common xed points of $T_i$, i = 1, 2, 3). Let {$a_n$},{$b_n$} and {$c_n$} are three real sequences in [0, 1] such that $\in{\leq}\;a_n,\;b_n,\;c_n\;{\leq}\;1-\in$ for $n{\in}N$ and some ${\in}{\geq}0$. Starting with arbitrary $x_1{\in}K$, define sequence {$x_n$} by setting {$$x_{n+1}=P((1-a_n)x_n+a_nT_1(PT_1)^{n-1}y_n)$$ $$y_n=P((1-b_n)x_n+a_nT_2(PT_2)^{n-1}z_n)$$ $$z_n=P((1-c_n)x_n+c_nT_3(PT_3)^{n-1}x_n)$$. Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) $E^*$ has Kedec -Klee property, where $E^*$ is dual of E. Then sequence {$x_n$} converges weakly to some p${\in}$F(T).

Indoor Spatial Awareness Project and Indoor Spatial Data Model

  • Li, Ki-Joune
    • Spatial Information Research
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    • 제16권4호
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    • pp.441-453
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    • 2008
  • LBS, GIS 및 유비쿼터스 컴퓨팅의 기술의 빠른 발전과 함께, 우리가 다루는 공간은 더 이상실외공간에 한정되지 않고, 실내공간으로 확장되고 있다. 그런데 실내공간은 실외공간과 다른 특징을 가지고 있으므로 실내의 공간의 통합되고 연속적인 서비스를 제공하기 위하여서는 새로운 이론, 데이터모델 및 시스템을 개발하여야 한다. 이러한 이유로 실내공간인지를 위한 기초이론을 개발하고, 핵심기술 및 시스템을 구축하고, 서비스를 제공하기 위한 프로젝트가 시작되었다. 본 논문에서는 실내공간인지(ISA) 프로젝트의 목표와 연구주제들을 소개한다. 그리고 실내공간데이터베이스 관리시스템의 기초적 데이터타입과 연산자를 위한 프리즘데이터 모델을 소개한다. 또한 T. Kolbe가 제안한 실내공간 모델도 함께 소개한다. 이 모델은 다양한 공간을 통합하는데 기초가 될 것이다.

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Screening of Immune-Active Lactic Acid Bacteria

  • Hwang, E-Nam;Kang, Sang-Mo;Kim, Mi-Jung;Lee, Ju-Woon
    • 한국축산식품학회지
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    • 제35권4호
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    • pp.541-550
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    • 2015
  • The purpose of this study was to investigate the effect of lactic acid bacteria (LAB) cell wall extract on the proliferation and cytokine production of immune cells to select suitable probiotics for space food. Ten strains of LAB (Lactobacillus bulgaricus, L. paracasei, L. casei, L. acidophilus, L. plantarum, L. delbruekii, Lactococcus lactis, Streptococcus thermophilus, Bifidobacterium breve, and Pedicoccus pentosaceus) were sub-cultured and further cultured for 3 d to reach 7-10 Log colony-forming units (CFU)/mL prior to cell wall extractions. All LAB cell wall extracts failed to inhibit the proliferation of BALB/c mouse splenocytes or mesenteric lymphocytes. Most LAB cell wall extracts except those of L. plantarum and L. delbrueckii induced the proliferation of both immune cells at tested concentrations. In addition, the production of TH1 cytokine (IFN-γ) rather than that of TH2 cytokine (IL-4) was enhanced by LAB cell wall extracts. Of ten LAB extracts, four (from L. acidophilus, L. bulgaricus, L. casei, and S. thermophiles) promoted both cell proliferating and TH1 cytokine production. These results suggested that these LAB could be used as probiotics to maintain immunity and homeostasis for astronauts in extreme space environment and for general people in normal life.

FREE-FLOATING PLANETS, THE EINSTEIN DESERT, AND 'OUMUAMUA

  • Gould, Andrew;Jung, Youn Kil;Hwang, Kyu-Ha;Dong, Subo;Albrow, Michael D.;Chung, Sun-Ju;Han, Cheongho;Ryu, Yoon-Hyun;Shin, In-Gu;Shvartzvald, Yossi;Yang, Hongjing;Yee, Jennifer C.;Zang, Weicheng;Cha, Sang-Mok;Kim, Dong-Jin;Kim, Seung-Lee;Lee, Chung-Uk;Lee, Dong-Joo;Lee, Yongseok;Park, Byeong-Gon;Pogge, Richard W.
    • 천문학회지
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    • 제55권5호
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    • pp.173-194
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    • 2022
  • We complete the survey for finite-source/point-lens (FSPL) giant-source events in 2016-2019 KMTNet microlensing data. The 30 FSPL events show a clear gap in Einstein radius, 9 𝜇as < 𝜃E < 26 𝜇as, which is consistent with the gap in Einstein timescales near tE ~ 0.5 days found by Mróz et al. (2017) in an independent sample of point-source/point-lens (PSPL) events. We demonstrate that the two surveys are consistent. We estimate that the 4 events below this gap are due to a power-law distribution of free-floating planet candidates (FFPs) dNFFP/d log M = (0.4 ± 0.2) (M/38 M)-p/star, with 0.9 ≲ p ≲ 1.2. There are substantially more FFPs than known bound planets, implying that the bound planet power-law index 𝛾 = 0.6 is likely shaped by the ejection process at least as much as by formation. The mass density per decade of FFPs in the Solar neighborhood is of the same order as that of 'Oumuamua-like objects. In particular, if we assume that 'Oumuamua is part of the same process that ejected the FFPs to very wide or unbound orbits, the power-law index is p = 0.89 ± 0.06. If the Solar System's endowment of Neptune-mass objects in Neptune-like orbits is typical, which is consistent with the results of Poleski et al. (2021), then these could account for a substantial fraction of the FFPs in the Neptune-mass range.

국립국악 교육기관 3D 전자문화지도 작성에 관한 사전연구 (A Preliminary Study on the 3D Electronic Cultural Atlas of the National Education Center for Korean Traditional Music)

  • 유정수
    • 한국정보교육학회:학술대회논문집
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    • 한국정보교육학회 2010년도 하계학술대회
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    • pp.221-226
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    • 2010
  • 문화란 지역과 역사를 기반으로 하여 살아가는 일종의 유기체와 같다. 따라서 시간과 공간의 정보, 그 어느 한 쪽이라도 등한시한다면 생동하는 문화의 총체 상을 파악할 수가 없다. 이러한 사실을 염두에 두고 본 논문에서는 국립국악교육기관에 대한 3D전자문화지도를 구축하는데 필요한 기초 연구를 기술한다.

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DERIVATIONS ON CR MANIFOLDS

  • Ryu, Jeong-Seog;Yi, Seung-Hun
    • 대한수학회논문집
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    • 제19권1호
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    • pp.135-141
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    • 2004
  • We studied the relation between the tangential Cauchy-Riemann operator ${\={\partial}}_b$ CR-manifolds and the derivation $d^{{\pi}^{0,\;1}}$ associated to the natural projection map ${\pi}^{0.1}\;:\;TM\;{\bigotimes}\;{\mathbb{C}}\;=\;T^{1,0}\;{\bigoplus}\;T^{0,\;1}\;{\rightarrow}\;T^{0,\;1}$. We found that these two differential operators agree only on the space of functions ${\Omega}^0(M),\;unless\;T^{1,\;0}$ is involutive as well. We showed that the difference is a derivation, which vanishes on ${\Omega}^0(M)$, and it is induced by the Nijenhuis tensor associated to ${\pi}^{0.1}$.

프리스트레스트 Double T-Beam의 비틀림 거동 (Torsional Behaviors of Prestressed Double T-Beam)

  • 성원진;이용학
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 추계 학술발표회 제17권2호
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    • pp.315-318
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    • 2005
  • Vlasov's hypothesis provides a way to solve the torsional problem with warping torsion of double T-beam section. Not only the warping torsion of the gross section of double T-beam but the torsional resistances of PS tendons and reinforcements have to be considered together in the analysis in which the latter is the restoring roles provided by the upward and downward force components in a geometrical symmetric configuration. It means that the torsional resistances of PS tendons and reinforcements, usually ignored, store the strain energies due to up-downward geometrical changes. Space frame element with 7-degrees of freedom are used for the finite element approximation of the real behaviors. Bimoments and angles of twist obtained from the proposed method show good agreements with those of 3-D. finite element analysis and analytical analysis

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HARMONIC BERGMAN SPACES OF THE HALF-SPACE AND THEIR SOME OPERATORS

  • Kang, Si-Ho;Kim, Ja-Young
    • 대한수학회보
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    • 제38권4호
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    • pp.773-786
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    • 2001
  • On the setting of the half-space of the Euclidean n-space, we consider harmonic Bergman spaces and we also study properties of the reproducing kernel. Using covering lemma, we find some equivalent quantities. We prove that if lim$ lim\limits_{i\rightarrow\infty}\frac{\mu(K_r(zi))}{V(K_r(Z_i))}$ then the inclusion function $I : b^p\rightarrow L^p(H_n, d\mu)$ is a compact operator. Moreover, we show that if f is a nonnegative continuous function in $L^\infty and lim\limits_{Z\rightarrow\infty}f(z) = 0, then T_f$ is compact if and only if f $\in$ $C_{o}$ (H$_{n}$ ).

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