• Title/Summary/Keyword: R/C

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GENERALIZED (C, r)-HANKEL OPERATOR AND (R, r)-HANKEL OPERATOR ON GENERAL HILBERT SPACES

  • Jyoti Bhola;Bhawna Gupta
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.821-835
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    • 2023
  • Hankel operators and their variants have abundant applications in numerous fields. For a non-zero complex number r, the r-Hankel operators on a Hilbert space 𝓗 define a class of one such variant. This article introduces and explores some properties of two other variants of Hankel operators namely kth-order (C, r)-Hankel operators and kth-order (R, r)-Hankel operators (k ≥ 2) which are closely related to r-Hankel operators in such a way that a kth-order (C, r)-Hankel matrix is formed from rk-Hankel matrix on deleting every consecutive (k - 1) columns after the first column and a kth-order (R, rk)-Hankel matrix is formed from r-Hankel matrix if after the first column, every consecutive (k - 1) columns are deleted. For |r| ≠ 1, the characterizations for the boundedness of these operators are also completely investigated. Finally, an appropriate approach is also presented to extend these matrices to two-way infinite matrices.

Development of a 14.1 inch Full Color AMOLED Display with Top Emission Structure

  • Jung, J.H.;Goh, J.C.;Choi, B.R.;Chai, C.C.;Kim, H.;Lee, S.P.;Sung, U.C.;Ko, C.S.;Kim, N.D.;Chung, K.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.793-796
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    • 2005
  • A structure and a design of device were developed to fabricate large-scale active matrix organic light-emitting diode (AMOLED) display with good color purity and high aperture ratio. With these technologies, we developed a full color 14.1 inch WXGA AMOLED display. For the integration of OLED on an active matrix a-Si TFT backplane, an efficient top emission OLED is essential since the TFT circuitry covers a large position of the pixel aperture. These technologies will enable up the OLED applications to larger size displays such as desktop monitors and TVs.

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External Condensation Heat Transfer Coefficients of R22 Alternative Refrigerants and R134a According to the Saturated Vapor Temperature Change on an Enhanced Tube (열전달 촉진관에서 R22 대체냉매 및 R134a의 포화증기 온도변화에 따른 외부 응축 열전달계수에 관한 연구)

  • Yoo Gil-Sang;Hwang Ji-Hwan;Park Ki-Jung;Jung Dongsoo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.11
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    • pp.981-989
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    • 2005
  • In this study, external condensation heat transfer coefficients (HTCs) are measured on a low fin tube and Turbo-C tubes at the saturated vapor temperature of $30^{\circ}C$, $39^{\circ}C$, and $50^{\circ}C$ for R22, R410A, R407C and R134a with the wall subcooled at $3{\~}8^{\circ}C$. The HTCs of all refrigerants decreased as increasing the saturation temperature from $30^{\circ}C$ to $50^{\circ}C$. This trend is due to better thermodynamic properties of the liquid phase at low temperature Beatty and Katz's prediction yielded a $20.0\%$ deviation for the low fin tube data. The heat transfer enhancement factors for the 26 fpi low fin tube and Turbo-C tubes are 4.0${\~}$5.5 and 3.0${\~}$8.1 respectively for the refrigerants tested. Finally the performance of Turbo-C tube is better than that of the low fin tube.

An Effects of Lateral Reinforcement of High-Strength R/C Columns Subjected to Reversed Cyclic and High-Axail Force (고축력과 반복횡력을 받는 고강도 R/C기둥의 횡보강근 효과)

  • 신성우;안종문
    • Journal of the Korea Concrete Institute
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    • v.11 no.5
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    • pp.3-10
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    • 1999
  • Earthquake resistant R/C frame structures are generally designed to prevent the columns from plastic hinging. R/C columns under higher axial load or strong earthquake showed a brittle behavior due to the deterioration of strength and stiffness degradation. An experimental study was conducted to examine the behavior and to find the relationship between amounts of lateral reinforcements and compressive strength of ten R/C column specimens subjected to reversed cyclic lateral load and higher axial load. Test results are follows : An increase in the amount of lateral reinforcement results in a significant improvement in both ductility and energy dissipation capacities of columns. R/C columns with sub-tie provide the improved ductility capacity than those with closely spaced lateral reinforcement only. While the load resisting capacity of the high strength R/C columns is higher than the normal strength concrete columns under both an identical ratio of lateral reinforcement, however the ductility capacity of high strength R/C columns is decreased considerably. Therefore, the amounts of lateral reinforcement must be designed carefully to secure the sufficient ductility and economic design of HSC columns under higher axial load.

Synthesis and Characterization of Air Stable σ-Bonded ortho-carborane Manganese Metal Complexes $1-[Mn(CO)_5]-2-R-1,2-closo-(σ-C_2B_{10}H_{10}$ and Their Conversion to the Stable ortho-carborane Substituted Fischer-type Carbene Compexes 1-[(CO

  • 김세진;김유혁;고재정;강상욱
    • Bulletin of the Korean Chemical Society
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    • v.16 no.7
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    • pp.634-641
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    • 1995
  • The metal-carbon σ-bond cluster complexes 1-Mn(CO)5-2-R-1,2-C2B10H10 (R=CH3 Ia, C6H5 Ib) have been prepared in good yields from readily available carboranyl lithium complexes, 1-Li+-2-R-1,2-C2B10H10- (R=CH3, C6H5), by direct reaction with (CO)5MnBr. These manganese metal complexes are rapidly converted to the corresponding manganese metal carbene complexes, 1-[(CO)4Mn=C(OCH3)(CH3)]-2-R-1,2-C2B10H10 (R=CH3 IIIa, C6H5 IIIb), via alkylation with methyllithium followed by O-methylation with CF3SO3CH3. The crystal structure of IIIb was determined by X-ray diffraction. Thus, complex IIIb crystallizes in the orthorhombic space group P212121 with cell parameters a=15.5537(5), b=19.0697(5), c=7.4286(3) Å, V=2203.4(1) Å3, and Z=4. Of the reflections measured a total of 3805 unique reflections with F2>3σ(F2) was used during subsequent structure refinement. Refinement converged to R1=0.053 and R2=0.091. Structural studies showed that the manganese atom had a slightly distorted pseudo-octahedral configuration about the metal center with the carbene and ortho-carborane occupying the equatorial plane cis-orientation to each other.

Space Group $R\={3}c$ = $R\={3}2/c$(167) and the Crystal Structure of Tris(1,2,3,4-tetraphenylbuta-1,3-dienyl)cyclotriphosphazene (Space Group $R\={3}c$(167)과 Tris(1,2,3,4-tetraphenylbuta-1,3-dienyl)cyclotriphosphazene의 結晶構造)

  • Kim, Young-Sang;Ko, Jae-Jung;Kang, Sang-Ook;Lee, Young-Joo;Kang, Eu-Gene;Han, Won-Sik;Park, Young-Soo;Suh, Il-Hwan
    • Korean Journal of Crystallography
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    • v.15 no.1
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    • pp.9-17
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    • 2004
  • There are 25 space groups in the trigonal system. Eighteen out of them have a lattice letter P displaying only hexagonal axes, wherease the remaining seven rhombohedral space groups R3(146), $R\={3}$(148), R32(155), R3m(160), R3c(161), $R\={3}m$(166) and $R\={3}c$(167) are described with two corrdinate systems, first with hexagonal axes having three lattice points (0, 0, 0), (2/3, 1/3, 1/3), (1/3, 2/3, 2/3) and second with primitive rhombohedral axes. In this paper, the space group $R\={3}c$ is discussed and the crystal structure of a compound, tris(1,2,3,4-tetraphenylbuta-1,3-dienyl)cyclotriphosphazene, $C_{84}H_{60}N_3P_3$, belonging to the space group $R\={3}c$ is elucidated with both hexagonal and rhombohedral cells.

CIRCULAR DISTORTION AND THE DOUBLE DISK PROPERTY OF CURVES

  • Kim, Ki-Won
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.43-55
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    • 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.

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A Note on c-Separative Modules

  • Chen, Huanyin
    • Kyungpook Mathematical Journal
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    • v.47 no.3
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    • pp.357-361
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    • 2007
  • A right R-module P is $c$-separative provided that $$P{\oplus}P{{c}\atop{\simeq_-}}P{\oplus}Q{\Longrightarrow}P{\simeq_-}Q$$ for any right R-module Q. We get, in this paper, two sufficient conditions under which a right module is $c$-separative. A ring R is a hereditary ring provided that every ideal of R is projective. As an application, we prove that every projective right R-module over a hereditary ring is $c$-separative.

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Heat transfer characteristics of R - 407C condensing inside smooth horizontal tubes (냉매 R-407c의 수평평골 응축관내 열전달특성에 관한 연구)

  • 오후규;문정욱;노건상
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.2
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    • pp.144-156
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    • 1997
  • Experimental results for forced convection heat transfer of pure refrigerant and nonrefrigerant mixtures during condensing inside horizontal smooth tubes, double pipe heat exchanger of 7.5 mm ID and 4 000 mm long inside tube, are presented. Pure refrigerant R - 22 and R - 407 c, the mixture of R - 32 + R - 125 + R - 134a (23/25/52, wt %) are used as the test fluids. The ranges of parameters are $114.3{\sim}267.1 kg/(m^2 {\cdot} s)$ of mass velocity, <0$\sim$1.0 of quality. The vapor pressure, vapor temperature and tube wall temperature were measured. Using these data, the local and average heat transfer coefficients for the condensation are obtained. At the same given experimental conditions, the condensation heat transfer coefficients for NARMs R - 407c were lower than those for the pure refrigerant of R - 22. Local heat transfer characteristics for R - 407c were different from pure refrigerant R - 22. The condensaheat transfer coefficients for R - 407c and R - 22 increased with mass velocity. Based on the data a prediction method was presented for the calculation of dimensionless average heat transfer coefficient.

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Upregulation of MicroRNA 181c Expression in Gastric Cancer Tissues and Plasma

  • Cui, Mei-Hua;Hou, Xiao-Lin;Lei, Xiao-Yan;Mu, Fang-Hong;Yang, Gui-Bin;Yue, Lin;Fu, Yi;Yi, Guo-Xing
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.5
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    • pp.3063-3066
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    • 2013
  • Objective: To test the microRNA-181c (miR-181c) expression in tissues and plasma of gastric cancer (GC) cases, analyze any correlations, and explore the possibility of miR-181c as a potential molecular marker for GC diagnosis. Materials and Methods: Relative miR-181c expression levels in cancers and plasma from 30 GC patients was tested using reverse transcription-real-time fluorescent quantitation PCR and compared to that in samples from 30 gastric ulcer and 30 chronic gastritis patients. Results: The miR-181c expression level in the GC tissues was significantly higher than that in the gastric ulcer and chronic gastritis tissues (P = 0.000), as was the miR-181c expression level in the GC plasma (P = 0.000). We determined that miR-181c expression in GC plasma was positively correlated to its expression in the GC tissues (P = 0.000). Conclusions: The expression of miR-181c is upregulated in GC tissues and plasma, and the miR-181c expression level in GC plasma is positively correlated to that in the corresponding cancer tissues. Plasma miR-181c is possibly a new serological marker for GC diagnosis.