• Title/Summary/Keyword: $I_c$-B

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ON A GENERALIZED TRIF'S MAPPING IN BANACH MODULES OVER A C*-ALGEBRA

  • Park, Chun-Gil;Rassias Themistocles M.
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.323-356
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    • 2006
  • Let X and Y be vector spaces. It is shown that a mapping $f\;:\;X{\rightarrow}Y$ satisfies the functional equation $$mn_{mn-2}C_{k-2}f(\frac {x_1+...+x_{mn}} {mn})$$ $(\ddagger)\;+mn_{mn-2}C_{k-1}\;\sum\limits_{i=1}^n\;f(\frac {x_{mi-m+1}+...+x_{mi}} {m}) =k\;{\sum\limits_{1{\leq}i_1<... if and only if the mapping $f : X{\rightarrow}Y$ is additive, and we prove the Cauchy-Rassias stability of the functional equation $(\ddagger)$ in Banach modules over a unital $C^*-algebra$. Let A and B be unital $C^*-algebra$ or Lie $JC^*-algebra$. As an application, we show that every almost homomorphism h : $A{\rightarrow}B$ of A into B is a homomorphism when $h(2^d{\mu}y) = h(2^d{\mu})h(y)\;or\;h(2^d{\mu}\;o\;y)=h(2^d{\mu})\;o\;h(y)$ for all unitaries ${\mu}{\in}A,\;all\;y{\in}A$, and d = 0,1,2,..., and that every almost linear almost multiplicative mapping $h:\;A{\rightarrow}B$ is a homomorphism when h(2x)=2h(x) for all $x{\in}A$. Moreover, we prove the Cauchy-Rassias stability of homomorphisms in $C^*-algebras$ or in Lie $JC^*-algebras$, and of Lie $JC^*-algebra$ derivations in Lie $JC^*-algebras$.

The Effects of Phenethyl Isothiocyanate on Nuclear Factor-κB Activation and Cyclooxygenase-2 and Inducible Nitric Oxide Synthase Expression Induced by Toll-like Receptor Agonists (Phenethyl Isothiocyanate가 Toll-like Receptor Agonists에 의해 유도된 Nuclear Factor-κB 활성과 Cyclooxygenase-2, Inducible Nitric Oxide Synthase 발현에 미치는 효과)

  • Kim, Soo-Jung;Park, Hye-Jeong;Shin, Hwa-Jeong;Kim, Ji-Soo;Ahn, Hee-Jin;Min, In-Soon;Youn, Hyung-Sun
    • Journal of Applied Biological Chemistry
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    • v.54 no.4
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    • pp.279-283
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    • 2011
  • Toll-like receptors (TLRs) play an important role in induction of innate immune responses. The activation of TLRs triggers inflammatory responses that are essential for host defense against invading pathogens. Phenethyl isothiocyanate (PEITC) extracted from cruciferous vegetables has an effect on anti-inflammatory therapy. Dysregulated activation of nuclear factor-${\kappa}$B (NF-${\kappa}$B), inducible nitric oxide synthase (iNOS), and cyclooxygenase-2 (COX-2) has been shown to play important roles in the development of certain inflammatory disease. To evaluate the therapeutic potential of PEITC, NF-${\kappa}$B activation and COX-2 and iNOS expression induced by lipopolysaccharide (LPS, TLR4 agonist), polyinosinic-polycytidylic acid (Poly[I:C], TLR3 agonist), 2 kDa macrophageactivating lipopeptide (MALP-2, TLR2 and TLR6 agonist) or oligodeoxynucleotide 1668 (ODN1668, TLR9 agonist) were examined. PEITC inhibits the activation of NF-${\kappa}$B induced by LPS or Poly[I:C] but not by MALP-2 or ODN1668. PEITC also suppressed the iNOS expression induced by LPS or Poly[I:C]. However, PEITC did not suppress COX-2 expression induced by LPS, Poly[I:C], MALP-2, or ODN1668. These results suggest that PEITC has the specific mechanism for antiinflammatory responses.

A study of the comparative effect of Kuibitang, Kamiondarmtang, and Kuibiondarmtang on serum levels in rats under the immobilization stress. (귀비탕(歸脾湯), 가미온담탕(加味溫膽湯) 및 귀비온담탕(歸脾溫膽湯)의 항(抗) Stress 효능(效能) 비교연구(比較硏究))

  • Kim Hyeong-Cheol;Jeong Dae-Gyu
    • Journal of Oriental Neuropsychiatry
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    • v.4 no.1
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    • pp.99-119
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    • 1993
  • In order to compare and examine the effect the effect of Kuibitang, Kamiondarmtang and Kuibiondarmtang against stress, I induced immobilization stress by binding rats for 200mins under a little anesthetized with ether. I classified as normal group, control group which administrated 0.9% NaCl solution, sample A group which administrated Kuibitang, sample B group which administrated Kamiondarmtang and sample C group which administrated Kuibiondarmtang. I got some conclusions by measuring amounts of norepinephrine, epinephrine, triiodothyronine($T_3$) and thyroxine($T_4$) in 1, 3 and 5 days, respectively. 1. Norepinephrine showed high meaningful decrease after 1. 3 and 5 days in sample A group. It showed little decrease in sample B group. It showed a little meaningful decrease after 1 day and high meaningful decrease after 3 and 5 days in sample C group. 2. Epinephrine showed high meaningful decrease after 3 and 5 days in sample A group. It showed little decrease in sample B group. It showed a little meaningful decrease after 3 days and high meaningful decrese after 5 days in sample C group. 3. Triiodothyronine($T_3$) inclined to approach normal value in sample A, B, C group in comparision wit control group but didn't have high meaning. 4. Thyroxine($T_4$) inclined to approach normal va1ue in sample A, B, C group in comparision with contrl group but didn't have high meaning. As I consider the effect of experiments, I think that Kuibitang and Kuibiondarmtang have some effects against stress and it is right to apply to the treatment of stress.

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Properties of $SiC-ZrB_2$ Electroconductive Ceramic Composites by Spark Plasma Sintering (SPS 소결에 의한 $SiC-ZrB_2$ 도전성 세라믹 복합체 특성)

  • Ju, Jin-Young;Lee, Hui-Seung;Jo, Sung-Man;Lee, Jung-Hoon;Kim, Cheol-Ho;Park, Jin-Hyoung;Shin, Yong-Deok
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.9
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    • pp.1757-1763
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    • 2009
  • The composites were fabricated by adding 0, 15, 20, 25[vol.%] Zirconium Diboride(hereafter, $ZrB_2$) powders as a second phase to Silicon Carbide(hereafter, SiC) matrix. The physical, mechanical and electrical properties of electroconductive SiC ceramic composites by Spark Plasma Sintering(hereafter, SPS) were examined. Reactions between ${\beta}-SiC$ and $ZrB_2$ were not observed in the XRD analysis. The relative density of mono SiC, SiC+15[vol.%]$ZrB_2$, SiC+20[vol.%]$ZrB_2$ and SiC+25[vol.%]$ZrB_2$ composites are 90.93[%], 74.62[%], 74.99[%] and 72.61[%], respectively. The XRD phase analysis of the electroconductive SiC ceramic composites reveals high of SiC and $ZrB_2$ and low of $ZrO_2$ phase. The lowest flexural strength, 108.79[MPa], shown in SiC+15[vol.%] $ZrB_2$ composite and the highest - 220.15[MPa] - in SiC+20[vol.%] $ZrB_2$composite at room temperature. The trend of the mechanical properties of the electroconductive SiC ceramic composites moves in accord with that of the relative density. The electrical resistivities of mono SiC, SiC+15[vol.%]$ZrB_2$, SiC+20[vol.%]$ZrB_2$ and SiC+25[vol.%]$ZrB_2$ composites are 4.57${\times}10^{-1}$, 2.13${\times}10^{-1}$, 1.53${\times}10^{-1}$ and 6.37${\times}10^{-2}$[${\Omega}$ cm] at room temperature, respectively. The electrical resistivity of mono SiC, SiC+15[vol.%]$ZrB_2$. SiC+20[vol.%]$ZrB_2$ and SiC+25[vol.%]$ZrB_2$ are Negative Temperature Coefficient Resistance(hereafter, NTCR) in temperature ranges from 25[$^{\circ}C$] to 100[$^{\circ}C$]. The declination of V-I characteristics of SiC+20[vol.%]$ZrB_2$ composite is 3.72${\times}10^{-1}$. It is convinced that SiC+20[vol.%]$ZrB_2$ composite by SPS can be applied for heater or electrode above 1000[$^{\circ}C$]

Effects of Preparation Conditions of $Y_1Ba_2Cu_3O_{7-y}$ Sintered with $Bi_2O_3$ on Superconductiog Properties ($Bi_2O_3$를 첨가하여 소결한 $Y_1Ba_2Cu_3O_{7-y}$ 초전도체의 제조 조건이 초전도 특성에 미치는 영향)

  • Kim, Shi-Yul;Park, Sung;Im, Ho-Bin
    • Electrical & Electronic Materials
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    • v.3 no.2
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    • pp.90-98
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    • 1990
  • Y-Bi-Ba-Cu-O계 초전도체를 보통의 ceramic방법과 screen printing과 소결법으로 원판형과 후막형으로 제작하였다. B $i_{2}$ $O_{3}$를 첨가하여 소결한 $Y_{1}$B $a_{2}$C $u_{3}$ $O_{7-y}$의 초전도 성질은 전기저항측정과 자석위에 부상 유무로 조사하였다. 또한 B $i_{2}$ $O_{3}$를 첨가함에 따라 소결된 시편의 미세구조에 어떠한 영향을 주었는지 알아보았다. 전기저항 측정시 Yttrium 대신에 Bi로 부분적으로 치환한 경우인 $Y_{0.85}$B $i_{0.15}$B $a_{2}$C $u_{3}$ $O_{7-y}$의 상온 저항치가 기본조성인 $Y_{1}$B $a_{2}$C $u_{3}$ $O_{7-y}$의 그것보다 향상된 미세구조로 인해 더 작은 값을 나타낸다. 반면 $Y_{1}$B $a_{2}$C $u_{3}$ $O_{7-y}$에다가 초과로 B $i_{2}$ $O_{3}$를 첨가한 경우 오히려 미세구조는 불량하고 상온저항치도 더 높다. 이러한 사실은 입계에 잔류하는 이차상은 전기적 성질에는 크게 영향을 주나 자기적 성질에는 거의 영향을 주지않는 것으로 보인다. 후막으로 Y-Bi-Ba-Cu-O를 제작시 기판에 의해 좌우되는데 단지 magnesia 기판에서 소결시 bulk시편과 유사한 성질을 나타냈다.질을 나타냈다.다.

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Effect of n-Butanol on the Mixed Micellization of DPC with CDEAB (DPC와 CDEAB의 혼합마이셀화에 미치는 n-부탄올의 효과)

  • Lee, Byung-Hwan
    • Journal of the Korean Chemical Society
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    • v.48 no.3
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    • pp.236-242
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    • 2004
  • The critical micelle concentration (CMC) and the counterion binding constant (B) in a mixed micellar state of the Dodecylpyridinium chloride (DPC) with the Cetyldimethylethylammonium bromide (CDEAB) at 25$^{\circ}C$ in aqueous solutions of n-butanol were determined as a function of ${\alpha}_1$ (the overall mole fraction of DPC) by the use of electric conductivity method. Various thermodynamic parameters (($X_i,\;{\gamma}_i,\;C_i,\;a^M_i,\;{\beta},\;and {\Delta}H_{mix})$were calculated by means of the equations derived from the nonideal mixed micellar model. The effect of n-butanol on the mixed micellization of the DPC/CDEAB mixtures has been also studied by analyzing the measured and calculated thermodynamic parameters (CMC, B 및 $;{\Delta}G_o\;^m$).

Galangin Suppresses Pro-Inflammatory Gene Expression in Polyinosinic-Polycytidylic Acid-Stimulated Microglial Cells

  • Choi, Min-Ji;Park, Jin-Sun;Park, Jung-Eun;Kim, Han Su;Kim, Hee-Sun
    • Biomolecules & Therapeutics
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    • v.25 no.6
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    • pp.641-647
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    • 2017
  • Galangin (3,5,7-trihydroxyflavone) is a polyphenolic compound abundant in honey and medicinal herbs, such as Alpinia officinarum. In this study, we investigated the anti-inflammatory effects of galangin under in vitro and in vivo neuroinflammatory conditions caused by polyinosinic-polycytidylic acid (poly(I:C)), a viral mimic dsRNA analog. Galangin suppressed the production of nitric oxide, reactive oxygen species, and pro-inflammatory cytokines in poly(I:C)-stimulated BV2 microglia. On the other hand, galangin enhanced anti-inflammatory interleukin (IL)-10 production. Galangin also suppressed the expression of pro-inflammatory markers in poly(I:C)-injected mouse brains. Further mechanistic studies showed that galangin inhibited poly(I:C)-induced nuclear factor (NF)-${\kappa}B$ activity and phosphorylation of Akt without affecting MAP kinases. Interestingly, galangin increased the expression and transcriptional activity of peroxisome proliferator-activated receptor (PPAR)-${\gamma}$, known to play an anti-inflammatory role. To investigate whether PPAR-${\gamma}$ is involved in the anti-inflammatory function of galangin, BV2 cells were pre-treated with PPAR-${\gamma}$ antagonist before treatment of galangin. We found that PPAR-${\gamma}$ antagonist significantly blocked galangin-mediated upregulation of IL-10 and attenuated the inhibition of tumor necrosis factor (TNF)-${\alpha}$ and IL-6 in poly(I:C)-stimulated microglia. In conclusion, our data suggest that PI3K/Akt, NF-${\kappa}B$, and PPAR-${\gamma}$ play a pivotal role in mediating the anti-inflammatory effects of galangin in poly(I:C)-stimulated microglia.

A study on the determination of the instantaneous center of rotation pathway and the movement of the mandible by using the B-spline method (B-splint법에 의한 순간 회전 중심로 결정과 하악운동에 관한 연구)

  • Kang, Dong-Wan;Kay, Kee-Sung
    • The Journal of Korean Academy of Prosthodontics
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    • v.27 no.1
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    • pp.55-81
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    • 1989
  • Recently the instantaneous center concept has been to understand the biomechanics by which a tissue derangement causes a mechanical derangement in human joint. Therefore, to understand the biomechanics of temporomandibular joint (T.M.J.) as a part of human joint, it is necessary to clarify the instantaneous center of rotation (I.C.R.) in the mandibular movement. Twenty male subjects without T.M.J. disorder and mandibular deviation during the mandibular movement were selected for this study. The habitual opening and closing paths were recorded on the paper of the sagittal metal plate by two pencil markers connected to the resin open clutch attached on the lower teeth, which was designed for this study. The coordinates of the 33-target points and the 109-anatomical landmarks were obtained using a Summagraphic digitizer connected to a 18AT computer. The original raw data of the opening and closing paths were smoothed by B-spline curve fitting technique and then the I.C.R. pathways were determined mathematically by the computer using algorithm for finding the I.C.R. of a planer rigid body model. Also the opening and closing movements of the mandible were simulated according to the determined I.C.R. The results obtained from this study were as follows. 1. At the early opening and the last closing, I.C.R's were almost distributed around the mastoid process outside the mandibular body without the presence in the region of the mandibular condyle. 2. The I.C.R. pathway showed variable patterns to each subject at the opening and closing movements. 3. The K constant with uniform pattern was obtained by the rotation angle times the radius, which was assumed to the index of the mandibular movement. 4. The opening and closing movements of the mandible were simulated by the I.C.R. pathways at the habitual opening and closing movements. 5. The mandibular condyle was rotated or translated accordng to the relative rotation angle and radius of the determinant factors of K contant.

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Development of Multistage Concentrating Solar Collector - I. Thermal performance of multistage cylindrical parabolique concentrating solar collector (다단이차원(多段二次元) 집광식(集光式) 태양열(太陽熱) 집열기(集熱器) 개발(開發)에 관(關)한 연구(硏究) - I. 다단이차원(多段二次元) 집광식(集光式) 태양열(太陽熱) 집열기(集熱器)의 열적(熱的) 성능분석(性能分析))

  • Song, Hyun-Kap
    • Solar Energy
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    • v.6 no.2
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    • pp.3-14
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    • 1986
  • It is desirable to collect the solar thermal energy at relatively high temperature in order to minimize the size of thermal storage system and to enlarge the scope of solar thermal energy utilization. In this study, to develop a solar collector that has both advantages of collecting solar thermal energy at high temperature and fixing conveniently the collector system for long term period, a cylindrical parabolique concentrating solar collector (M.C.P.C.S.C) was designed, which has several rows of parabolique reflectors and thin thickness such as the flat-plate solar collector, maintaining the optical form of concentrating solar collector. The thermal performance of the M.C.P.C.S.C. newly designed in this study was analysed theoretically and experimentally. The results are summarized as follows: 1) prediction equation for outlet temperature, $T_o$, of heat transfer fluid and for the thermal efficiency, ${\eta}$, of the collector were derived as; o $$T_o=[C+B1_n(\frac{I_c(t)}{pv^3})]T_i$$ o $${\eta}=\frac{A}{A_c}\dot{m}[(C-1)+B1_n(E{\cdot}di^6\frac{I_c(t)}{\dot{m}^3})]\frac{T_i}{I_c(t)}$$ 2) When the insolation on the tilted solar collector surface, $I_c$, was $900-950W/m^2$ and the heat transfer fluid was not circulated in tubular absorber, the maximum temperature on the absorber surface was $100-118^{\circ}C$, this result suggested that the heat transfer fluid could be heated up to $98-116^{\circ}C$. The maximum temperature on the absorber surface was decreased with the increase of the collector shape factor, $L_p/L_w$ 3) There was a good agreement between the experimental and theoretical value of solar collector efficiency, ${\eta}$, which was proportional to the collector shape factor, $L_p/L_w$ 4) It is desirable to continue the study on the relationship between the collector shape factor, $L_p/L_w$, and the thermal efficiency of solar collector.

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A CONSTRUCTION OF MAXIMAL COMMUTATIVE SUBALGEBRA OF MATRIX ALGEBRAS

  • Song, Young-Kwon
    • Journal of the Korean Mathematical Society
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    • v.40 no.2
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    • pp.241-250
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    • 2003
  • Let (B, m$_{B}$, k) be a maximal commutative $textsc{k}$-subalgebra of M$_{m}$(k). Then, for some element z $\in$ Soc(B), a k-algebra R = B[X,Y]/I, where I = (m$_{B}$X, m$_{B}$Y, X$^2$- z,Y$^2$- z, XY) will create an interesting maximal commutative $textsc{k}$-subalgebra of a matrix algebra which is neither a $C_1$-construction nor a $C_2$-construction. This construction will also be useful to embed a maximal commutative $textsc{k}$-subalgebra of matrix algebra to a maximal commutative $textsc{k}$-subalgebra of a larger size matrix algebra.gebra.a.