• Title/Summary/Keyword: LU5

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LU-FACTORIZATION OF THE SQUARE-TYPE MATRIX OF THE STIRLING MATRIX

  • Ji-Hwan Jung
    • East Asian mathematical journal
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    • v.39 no.5
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    • pp.523-528
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    • 2023
  • Let Sn = [S(i, j)]1≤i,j≤n and S*n = [S(i + j, j)]1≤i,j≤n where S(i, j) is the Stirling number of the second kind. Choi and Jo [On the determinants of the square-type Stirling matrix and Bell matrix, Int. J. Math. Math. Sci. 2021] obtained the diagonal entries of matrix U in the LU-factorization of S*n for calculating the determinant of S*n, where L = Sn. In this paper, we compute the all entries of U in the LU-factorization of matrix S*n. This implies the identities related to Stirling numbers of both kinds.

The Changes of NO, nNOS, Norepinephrine by Acupucture at LU7, HT5, PC6 Acupoints in Rats (수삼음경의 락혈 침자가 백서의 혈위 조직내 nNOS. NO와 조직 및 혈장 Norepinephrine의 변화에 미치는 영향)

  • Shin, Wook;Lee, Yumi;Lee, Kyoungin;Choi, Donghee;Kim, Mirae;Na, Changsu;Kim, Sunmin;Pyo, Byoungsik;Youn, Daehwan
    • Korean Journal of Acupuncture
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    • v.33 no.2
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    • pp.75-83
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    • 2016
  • Objectives : A previous study demonstrated that the connecting points of three yang meridians attenuated changes of nNOS, and Norepinephrine(NE) in rats. The current study investigated the changes in nNOS, NO and NE upon the needle insertion at varying depths at the connecting point of three yin meridians of the hand. Methods : Needles were inserted into rats, on both left and right sides of the connecting point, including the LU7, HT5 and PC6 acupoints which are three yin meridians of the hand. After insertion, needles were retained for five minutes. Each acupuncture groups were treated acupuncture at each acupoint and at the depths of superficial, middle and deep layer. After the retention, blood was drawn via cardiac puncture, and tissues of each point near meridian vessel was extracted to examine the changes in the expression of nNOS, NO and NE. Results : Compared with the superficial layer group, nNOS production significantly decreased in the middle and deep layer at LU7 acupoint group and in the deep layer at HT5, PC6 acupoint group. The tissue NE decreased in the deep layer on PC6 acupoint and the plasma NE increased at the middle layer at LU7 acupoint group but decreased at the deep layer on at LU7 acupoint group. Conclusions : Acupuncture at connecting points of three yin meridians of the hand can regulate the activities of nNOS, and NE.

Photoluminescence Property of Lu2Si2O7:Ce3+ Powder for Scintillator

  • Kim, Kyung-Nam;Cao, Guozhong
    • Korean Journal of Materials Research
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    • v.26 no.4
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    • pp.212-215
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    • 2016
  • In this paper, cerium doped lutetium pyrosilicate (LPS) powders with cerium content (0.05 and 0.07 mol%) were prepared by sol-gel process. The formation of lutetium pyrosilicate (LPS) phase was confirmed by XRD analysis for the powders heated at $1,200^{\circ}C$; in these powders, a single phase of $Lu_2Si_2O_7$ (LPS) was observed. Cerium doped lutetium pyrosilicate (LPS) powder was agglomerated and constituted of small spherical particles with diameters of about 300 nm. The photoluminescence spectra of the $Lu_2Si_2O_7:Ce^{3+}$ powders showed the characteristic of excitation and there was an emission spectrum for $Ce^{3+}$ in the host of $Lu_2Si_2O_7$. The emission spectrum shows a broad band in the range of 350-525 nm; the broad wavelength on the right side of the spectra should be ascribed to the same 5d-4f transitions of $Ce^{3+}$, as in the case of cerium doped $Lu_2Si_2O_7$ single crystals.

Robust and Efficient LU-SGS Scheme on Unstructured Meshes: Part Ⅱ - Efficient Implementation (비정렬 격자계에서 강건하고 효율적인 LU-SGS 기법 개발: Part Ⅱ- 효율적인 적용)

  • Kim Joo Sung;Kwon Oh Joon
    • Journal of computational fluids engineering
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    • v.9 no.3
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    • pp.39-48
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    • 2004
  • In the present study, an efficient implementation technique of the van Leer's implicit operator is suggested in accordance with the Roe's explicit operator. By using an efficient treatment of the off-diagonal terms, which occupy most of the memory requirement for the linear system of equations, it is shown that the improved scheme only requires less than 30% of memory and is approximately 10-20% faster than the baseline scheme.

Studies on Electrocardiogram of the Normal Korean Native Goat II. Waveforms and Amplitudes of the Unipolar Precordial Chest Leads (정상적인 한국 흑염소의 심전도에 관한 연구 II. 담부단극유도의 파형과 전위)

  • 최인혁;김기주;윤여백;서석열;김남수
    • Journal of Veterinary Clinics
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    • v.14 no.2
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    • pp.338-348
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    • 1997
  • The electrocardiographic (ECG) parameters on unipolar precordial chest leads in the normal Korean native goat of 343 heads as to CV$_{6}$LU, CV$_{6}$LL CV$_{6}$RU, CV$_{6}$RL and V10 have been measured with a 3-channel Elertrocardiograph and computed, analysed. All wave types as positive, negatives biphasic and flatting in the P and T waves appeared in all leads but any special wave type was not shown more than 60%. Average amplitudes with the highest frequent rate in P wave were 81.4$\pm$32.0 $\mu $V (52.3%), 59.6$\pm $ 27.5 $\mu $V (50.5 %) of Positive type in leads CV$_{6}$LU and CV$_{6}$LL, and -5fl.5$\pm $22.6 $\mu $V (44.0%) of negative type in leads VIO, and 51.3% and 44% of flatting type in leads CV$_{6}$RU and CV$_{6}$RL, but flatting type of clinic form appeared frequent rate between 53% and 77% in all leads. In T wave, average amplitudes with the highest frequent rate were 265.0$\pm $97.1 $\mu $V (54.0%) and 212.2$\pm $90.7 $\mu $V (57.0%) of positive type in leads CV$_{6}$LL and CV$_{6}$RL, and -252.8$\pm $90.7 $\mu $V (56.6%) of negative in lead V10, but amplitudes of T waves that positive and negative type appeared similarity frequent ra蛇 ware 208.7$\pm $99.7 $\mu $V (42.1%), -159.0$\pm $81.6 (43.8%) in lead CV$_{6}$LU and 153.2$\pm $139.0 $\mu $V (47.3%), -130.0$\pm $81.4 (43.2%) in lead CV$_{6}$RU, Amplitudes of QRS complex wave forms showed the highest frequent rate were 218.2$\pm $96.4 $\mu $V (47.8%), 308.3$\pm $135.2 $\mu $V (46.8 %), 232.8$\pm $126.5 $\mu $V (58.5%) and 225.3$\pm $89.6 $\mu $V (54.9%) of R type in the leeds CV$_{6}$LU, CV$_{6}$LL, CV$_{6}$RU and CV$_{6}$RL, and were -92.5$\pm $79.1 $\mu $V,479.0 $\pm $116.6 $\mu $V (33.2%) and 212.1 $\pm $86.7 $\mu $V (32.8%) of QR and 05 type in the lead V10. These results in the V10, CV$_{6}$RU, CV$_{6}$RL, CV$_{6}$LU, CV$_{6}$LL. may be not starve to purpose of unipolar precordial chest leads.

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Push-out bond strengths of fiber-reinforced composite posts with various resin cements according to the root level

  • Chang, Hoon-Sang;Noh, Young-Sin;Lee, Yoon;Min, Kyung-San;Bae, Ji-Myung
    • The Journal of Advanced Prosthodontics
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    • v.5 no.3
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    • pp.278-286
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    • 2013
  • PURPOSE. The aim of this study was to determine whether the push-out bond strengths between the radicular dentin and fiber reinforced-composite (FRC) posts with various resin cements decreased or not, according to the coronal, middle or apical level of the root. MATERIALS AND METHODS. FRC posts were cemented with one of five resin cement groups (RelyX Unicem: Uni, Contax with activator & LuxaCore-Dual: LuA, Contax & LuxaCore-Dual: Lu, Panavia F 2.0: PA, Super-Bond C&B: SB) into extracted human mandibular premolars. The roots were sliced into discs at the coronal, middle and apical levels. Push-out bond strength tests were performed with a universal testing machine at a crosshead speed of 0.5 mm/min, and the failure aspect was analyzed. RESULTS. There were no significant differences (P>.05) in the bond strengths of the different resin cements at the coronal level, but there were significant differences in the bond strengths at the middle and apical levels (P<.05). Only the Uni and LuA cements did not show any significant decrease in their bond strengths at all the root levels (P>.05); all other groups had a significant decrease in bond strength at the middle or apical level (P<.05). The failure aspect was dominantly cohesive at the coronal level of all resin cements (P<.05), whereas it was dominantly adhesive at the apical level. CONCLUSION. All resin cement groups showed decreases in bond strengths at the middle or apical level except LuA and Uni.

Magnetic Properties and Structures of Rare earth-Aluminum Compounds $RAI_{2}$ (희토류원소-알루미늄 화합물 $RAI_{2}$의 자기적성질 및 구조)

  • Moo-hee Lee;Seung-wook Um;Tae-kyung Park
    • Journal of the Korean Magnetics Society
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    • v.5 no.3
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    • pp.185-190
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    • 1995
  • Rare earth-aluminum intermetallic compounds $RAI_{2}$ (R ; Lu, Ce, Gd) are prepared by the arc-melt method and the magnetic properties and electronic structures are investigated by magnetic susceptiptibiliy measurements using SQUID magnetometer. The magnetic suceptibiliyof $LuAl_{2}$ is weakly temperature dependent and shows a Pauli susceptibility of $10.1{\times}10^{-5}$ emu/mol, which means 3.2 states/eV/formula unit. On the other hand, the susceptibility data of $CeAl_{2}$ and $GdAl_{2}$ show a Curie-Weiss behavior for paramagnets. The magnetization data at low temperatures confirm that $CeAl_{2}$ undergoes an antiferromagnetic phase transition near 4 K whereas $GdAl_{2}$ a ferromagnetic transition at 170 K. The distinctive magnetic behaviors of $RAI_{2}$ originate from the different 4f band filling.

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Localized Composition of LU-SGS Code on Latest Microprocessors (최신 마이크로프로세서상에서 LU-SGS 코드의 국소화 작성)

  • Choi Jeong-Yeol
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.45-50
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    • 2001
  • An approach of composing a performance optimized computational code is suggested for latest microprocessors. The approach named as localization is a concept of minimizing the access to system's main memory and maximizing the utilization of second level cache that is common to all the latest computer system. The localized compositions of LU-SGS scheme for fluid dynamics were made in three different levels and tested on three different microprocessor architectures most widely used in these days. The test results of localization concept showed a remarkable performance, that is the showing gain up to 4.5 times faster solution than the baseline algorithm $450\%$ for producing an exactly the same solution.

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A Hybrid Coordinate Partitioning Method in Mechanical Systems Containing Singular Configurations

  • Yoo, Wan-Suk;Lee, Soon-Young;Kim, Oe-Jo
    • Journal of the Korean Society for Railway
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    • v.5 no.3
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    • pp.174-180
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    • 2002
  • In multibody dynamics, DAE(Differential Algebraic Equations) that combine differential equations of motion and kinematic constraint equations should be solved. To solve these equations, either coordinate partitioning method or constraint stabilization method is commonly used. The most typical coordinate partitioning methods are LU decomposition, QR decomposition, and SVD(singular value decomposition). The objective of this research is to suggest a hybrid coordinate partitioning method in the dynamic analysis of multibody systems containing singular configurations. Two coordinate partitioning methods, i.e. LU decomposition and QR decomposition for constrained multibody systems, are combined for a new hybrid coordinate partitioning method. The proposed hybrid method reduces the simulation time while keeping accuracy of the solution.