• Title/Summary/Keyword: K4

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Some Properties of Complex Grassmann Manifolds

  • Kim, In-Su
    • Honam Mathematical Journal
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    • v.5 no.1
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    • pp.45-69
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    • 1983
  • The hermitian structures on complex manifolds have been studied by several mathematicians ([1], [2], and [3]), and the Kähler structure on hermitian manifolds have been so much too ([6], [12], and [15]). There has been some gradual progress in studying the invariant forms on Grassmann manifolds ([17]). The purpose of this dissertation is to prove the Theorem 3.4 and the Theorem 4.7, with relation to the nature of complex Grassmann manifolds. In $\S$ 2. in order to prove the Theorem 4.7, which will be explicated further in $\S$ 4, the concepts of the hermitian structure, connection and curvature have been defined. and the characteristic nature about these were proved. (Proposition 2.3, 2.4, 2.9, 2.11, and 2.12) Two characteristics were proved in $\S$ 3. They are almost not proved before: particularly. we proved the Theorem 3.3 : $G_{k}(C^{n+k})=\frac{GL(n+k,C)}{GL(k,n,C)}=\frac{U(n+k)}{U(k){\times}U(n)}$ In $\S$ 4. we explained and proved the Theorem 4. 7 : i) Complex Grassmann manifolds are Kahlerian. ii) This Kähler form is $\pi$-fold of curvature form in hyperplane section bundle. Prior to this proof. some propositions and lemmas were proved at the same time. (Proposition 4.2, Lemma 4.3, Corollary 4.4 and Lemma 4.5).

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Synthesis and Antibacterial Activities of 3-[(4-Carboxy-3-hydroxyisothiazol-5-yl)thiomethyl] cephalosporin Derivatives (3-[(4-카르복시-3-히드록시이소티아졸-5-일)티오메틸] 세파로스포린 유도체들의 합성 및 항균력)

  • Lee, Young-Haeng;Park, Kyu-Jong;Kim, Ha-Jung;Choi, Won-Sik
    • YAKHAK HOEJI
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    • v.42 no.4
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    • pp.364-369
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    • 1998
  • New cephalosporin antibiotics. 7-[(1H-tetrazolyl)acetamidol]-3-[(4-carboxy-3-hydroxyisothiazol-5-yl)thiomethyl-3-cephem-4-carboxylic acid trisodium salt 2,7-[(5-ethylthio-3-hydroxyisothiazol-4-yl)carbox-amidol-3-[(4-carboxy-3-hydroxyisothiazo1-5-yl)thiomethyl)-3-cephem-4-carboxylic acid 3,7-[(2-aminothiazol-4-yl)acetamido]-3-[(4-carboxy-3-hydroxyisothiazol-5-yl]thiomethyl]-3-cephem-4-caboxylic acid 4,7-[(Z)-2-(2-aminothiazol-4-yl)-2-(alkoxyimino)acetamido)-3-[(4-carboxy-3-hydroxyisothiazol-5-yl)thiomethyl)-3-cephem-4-carboxylic acid 5-9 were synthesized. Antibacterial activities of these new cephalosporin derivatives and the relationship between their structures and activities were examined. Among them, 7-((Z)-2-(2-aminothiazol-4-yl)-2-(carboxymethoxyimino)acetamido)-3-[(4-carboxy-3-hydroxyisothiazol-5-yl)thiomethyl)-3-cephem-4-carboxylic acid 8 and 7-[(Z)-2-(2-aminothiazol-4-yl)-2-(l-carboxy-1-methylethoxyimino)acetamido]-3-[(4-carboxy-3-hydroxyisothiazol-5-yl)thiomethyl)-3-cephem-4-carboxylic acid 9 exhibited good antibacterial activities compared with those of cefotaxime and ceftriaxone.

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Synthesis of 8-Alkoxy-4,5-dihydro-[1,2,4]triazole[4,3-a]quinoline-1-ones and Evaluation of their Anticonvulsant Properties

  • Sun, Xian-Yu;Jin, Yun-Zhe;Li, Fu-Nan;Li, Gao;Chai, Kyu-Yun;Quan, Zhe-Shan
    • Archives of Pharmacal Research
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    • v.29 no.12
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    • pp.1080-1085
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    • 2006
  • A series of 8-alkoxy-4,5-dihydro-[1,2,4]triazole[4,3-a]quinoline-1-one derivatives were synthesized using 7-hydroxy-3,4-dihydro-2(1H)-quinolone as the starting material. Their anticonvulsant activities were evaluated by the maximal electroshock test (MES) and the subcutaneous pentylenetetrazole test (sc-PTZ), and their neurotoxicities were measured by the rotarod neurotoxicity test (Tox). The tests demonstrated that 8-hexyloxy-4,5-dihydro-[1.2.4]triazole[4.3-a]quinoline-1-one (4e) and 8-heptyloxy-4,5-dihydro-[1,2,4]triazole[4, 3-a]quinoline-1-one (4f) were the most potent anticonvulsants, with 4e having $ED_{50}$ values of 17.17 mg/kg and 24.55 mg/kg and protective index ($PI=TD_{50}/ED_{50}$) values of 41.9 and 29.3 in the MES and sc-PTZ tests, respectively, and 4f having $ED_{50}$ values of 19.7 mg/kg and 21.2 mg/kg and PI values of 36.5 and 33.9 in the MES and sc-PTZ tests, respectively. The PI values of 4e and 4f were many fold better than that of the marketed drugs phenytoin, carbamazepine, phenobarbital and valproate, which have PI values in the range of 1.6-8.1 in the MES test and <0.22-5.2 in the sc-PTZ test. Structure-activity relationships were also discussed.

Determination of 4-Methylimidazole and 2-Acetyl-4(5)-tetrahydroxybutylimidazole in Caramel Color and Processed Foods by LC-MS/MS

  • Kim, Tae Rang;Kim, Su Un;Shin, Young;Kim, Ji Young;Lee, Sang Me;Kim, Jung Hun
    • Preventive Nutrition and Food Science
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    • v.18 no.4
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    • pp.263-268
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    • 2013
  • In this study, the quick HPLC-MS/MS method for the simultaneous separation of 2-acetyl-4(5)-tetrahydroxybuthylimidazole (THI) and 4-(5)-methylimidazole (4-MI) in alkaline medium was used for caramel color and processed foods in Korea. After a simple sample pretreatment, 51 4-MI-labeled samples were positive for 4-MI and 2 also contained THI. The concentration of 4-MI was 260.5~24, $499.3{\mu}g/kg$ in caramel color, less than $LOD{\sim}1,712.5{\mu}g/kg$ in sauce, 1,242.3, $5,972.2{\mu}g/kg$ in balsamic vinegar, $2,118.3{\sim}5,802.4{\mu}g/kg$ in complex seasoning, $82.7{\sim}5,110.6{\mu}g/kg$ in curry, and $29.9{\sim}464.4{\mu}g/kg$ in soft drinks. The recovery rate of 4-MI was 97.1~111.0% in sauce and 81.9~110.0% in powder and that of THI was 83.6{\sim}106.4% in sauce and 61.2{\sim}99.4% in powder. Our results concluded a safe amount of 4-MI and THI compared to the limit of Korea additive code but the processed foods do not have a limit of caramel color and 4-MI in Korea. Therefore, research and monitoring of 4-MI and THI is needed for processed foods in Korea.

Development and efficiency evaluation of 30kW scale syngas cogeneration system (30kW 급 합성가스 열병합 시스템 개발 및 효율 성능평가)

  • Park, Il-Gun;Kim, Sang-Tae;Noh, Gwi-Sung
    • Journal of the Korean Applied Science and Technology
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    • v.36 no.4
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    • pp.1427-1433
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    • 2019
  • In this paper, Gas engine was tested for the energy of synthesis gas. As excess air ratio increase 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6 in 1800 rpm and synthesis gas, thermal efficiency generally decrease and power generation was 34 kWm at λ 1.4. And excess air ratio increase 1, 1.1, 1.2, 1.3, 1.4 in power generation 34 kWm, thermal efficiency generally increase 34.2%, 36.9%, 37.2%, 37.4%, 38.1%. Total efficiency through power generation consumes 38.7 kg/h of fuel at 30 kWe load and recovers 57.3% of waste heat by recovering 57.3 kW of waste heat through 32.1% power generation efficiency and heat recovery from cooling water and exhaust gas. The total efficiency was 85.8%.

A Design of 4×4 Block Parallel Interpolation Motion Compensation Architecture for 4K UHD H.264/AVC Decoder (4K UHD급 H.264/AVC 복호화기를 위한 4×4 블록 병렬 보간 움직임보상기 아키텍처 설계)

  • Lee, Kyung-Ho;Kong, Jin-Hyeung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.5
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    • pp.102-111
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    • 2013
  • In this paper, we proposed a $4{\times}4$ block parallel architecture of interpolation for high-performance H.264/AVC Motion Compensation in 4K UHD($3840{\times}2160$) video real time processing. To improve throughput, we design $4{\times}4$ block parallel interpolation. For supplying the $9{\times}9$ reference data for interpolation, we design 2D cache buffer which consists of the $9{\times}9$ memory arrays. We minimize redundant storage of the reference pixel by applying the Search Area Stripe Reuse scheme(SASR), and implement high-speed plane interpolator with 3-stage pipeline(Horizontal Vertical 1/2 interpolation, Diagonal 1/2 interpolation, 1/4 interpolation). The proposed architecture was simulated in 0.13um standard cell library. The maximum operation frequency is 150MHz. The gate count is 161Kgates. The proposed H.264/AVC Motion Compensation can support 4K UHD at 72 frames per second by running at 150MHz.

A Design of Memory-efficient 2k/8k FFT/IFFT Processor using R4SDF/R4SDC Hybrid Structure (R4SDF/R4SDC Hybrid 구조를 이용한 메모리 효율적인 2k/8k FFT/IFFT 프로세서 설계)

  • 신경욱
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.2
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    • pp.430-439
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    • 2004
  • This paper describes a design of 8192/2048-point FFT/IFFT processor (CFFT8k2k), which performs multi-carrier modulation/demodulation in OFDM-based DVB-T receiver. Since a large size FFT requires a large buffer memory, two design techniques are considered to achieve memory-efficient implementation of 8192-point FFT/IFFT. A hybrid structure, which is composed of radix-4 single-path delay feedback (R4SDF) and radix-4 single-path delay commutator (R4SDC), reduces its memory by 20% compared to R4SDC structure. In addition, a memory reduction of about 24% is achieved by a novel two-step convergent block floating-point scaling. As a result, it requires only 57% of memory used in conventional design, reducing chip area and power consumption. The CFFT8k2k core is designed in Verilog-HDL, and has about 102,000 Bates, RAM of 292k bits, and ROM of 39k bits. Using gate-level netlist with SDF which is synthesized using a $0.25-{\um}m$ CMOS library, timing simulation show that it can safely operate with 50-MHz clock at 2.5-V supply, resulting that a 8192-point FFT/IFFT can be computed every 164-${\mu}\textrm{s}$. The functionality of the core is fully verified by FPGA implementation, and the average SQNR of 60-㏈ is achieved.

Synthesis of Higenamine, A Cardiotonic Principle of Aconite Root

  • Chang, Ki-Churl;Choi, Sook-Yun;Lim, Jung-Kyoo;Park, Chan-Woong
    • Archives of Pharmacal Research
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    • v.7 no.2
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    • pp.133-136
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    • 1984
  • Higenamine (I), cardiotonic principle of Aconite root, was synthesized from 4-methoxy-phenylacetic acid (II) and .betha.-(3, 4-dimethoxyphenyl)-ethylamine (IV). Condensation of IV with 4-mehoxyphenylacetyl chloride (III) was followed by cyclodehydration yielding 1-(4'-methoxybenzyl)-6, 7- dimethoxy-3, 4-dihydroisoquinoline (VI). Reduction of VI to 1, 2, 3, 4-tetrahydroisoquinoline (VII) and subsequent demethylation provided desired product higenamine, 1-(4'-hydroxybenzyl)-6, 7- dihydroxy-1, 2, 3, 4, -tetrahydroisoquinoline.

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High glucose and palmitate increases bone morphogenic protein 4 expression in human endothelial cells

  • Hong, Oak-Kee;Yoo, Soon-Jib;Son, Jang-Won;Kim, Mee-Kyoung;Baek, Ki-Hyun;Song, Ki-Ho;Cha, Bong-Yun;Jo, Hanjoong;Kwon, Hyuk-Sang
    • The Korean Journal of Physiology and Pharmacology
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    • v.20 no.2
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    • pp.169-175
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    • 2016
  • Here, we investigated whether hyperglycemia and/or free fatty acids (palmitate, PAL) affect the expression level of bone morphogenic protein 4 (BMP4), a proatherogenic marker, in endothelial cells and the potential role of BMP4 in diabetic vascular complications. To measure BMP4 expression, human umbilical vein endothelial cells (HUVECs) were exposed to high glucose concentrations and/or PAL for 24 or 72 h, and the effects of these treatments on the expression levels of adhesion molecules and reactive oxygen species (ROS) were examined. BMP4 loss-of-function status was achieved via transfection of a BMP4-specific siRNA. High glucose levels increased BMP4 expression in HUVECs in a dose-dependent manner. PAL potentiated such expression. The levels of adhesion molecules and ROS production increased upon treatment with high glucose and/or PAL, but this eff ect was negated when BMP4 was knocked down via siRNA. Signaling of BMP4, a pro-inflammatory and pro-atherogenic cytokine marker, was increased by hyperglycemia and PAL. BMP4 induced the expression of inflammatory adhesion molecules and ROS production. Our work suggests that BMP4 plays a role in atherogenesis induced by high glucose levels and/or PAL.

Expression and DNA Methylation Change of Oct-4 in Cloned Bovine Blastocysts (체세포복제 소 배반포의 Oct-4 발현과 DNA 메틸화 변화)

  • Cha, Byung-Hyun;Choi, Jung-Sang;Hwang, Seong-Soo;Chung, Hak-Jae;Im, Gi-Sun;Yang, Byong-Chul;Kim, Myong-Jik;Cho, Jae-Hyeon;Seong, Hwan-Hoo;Ko, Yeoung-Gyu
    • Journal of Embryo Transfer
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    • v.23 no.3
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    • pp.133-139
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    • 2008
  • DNA methylation is one of the reasons for poor survival of clone animals. The OCT-4 gene is essential for maintaining pluripotency of embryonic stem (ES) cells and early embryos. We previously reported that the 5'-promoter region of Oct-4 gene was a target of DNA methylation and the methylation status was changed variously during embryonic development in bovine. The study conducted to examine the expression and methylation pattern of tissue-dependent differentially methylated region (T-DMR) of Oct-4 gene in bovine somatic cell nuclear transfer (SCNT) and in vitro fertilization (IVF) blastocysts. The Oct-4 gene expression was evaluated by RT-PCR and fluorescence immunocytochemistry. The methylation pattern of T-DMR was analyzed using restriction mapping and bisulfite sequencing methods. The Oct-4 transcripts were highly expressed in IVF, while they were not expressed in SCNT. The Oct-4 protein was not detected or expressed at very low level in SCNT, the intensity of Oct-4 protein, however, was strong in IVF. On the other hand, the T-DMR of Oct-4 gene was hypermethylated in SCNT compared to that of IVF. These results suggested that expression and the failure of demethylation of Oct-4 gene was closely associated with incomplete development of SCNT embryos.