• Title/Summary/Keyword: L-matrix

Search Result 1,232, Processing Time 0.032 seconds

A GENERATION OF A DETERMINANTAL FAMILY OF ITERATION FUNCTIONS AND ITS CHARACTERIZATIONS

  • Ham, YoonMee;Lee, Sang-Gu;Ridenhour, Jerry
    • Korean Journal of Mathematics
    • /
    • v.16 no.4
    • /
    • pp.481-494
    • /
    • 2008
  • Iteration functions $K_m(z)$ and $U_m(z)$, $m{\geq}2$are defined recursively using the determinant of a matrix. We show that the fixed-iterations of $K_m(z)$ and $U_m(z)$ converge to a simple zero with order of convergence m and give closed form expansions of $K_m(z)$ and $U_m(z)$: To show the convergence, we derive a recursion formula for $L_m$ and then apply the idea of Ford or Pomentale. We also find a Toeplitz matrix whose determinant is $L_m(z)/(f^{\prime})^m$, and then we adapt the well-known results of Gerlach and Kalantari et.al. to give closed form expansions.

  • PDF

Enhancement of Thermomechanical Properties of Poly(D, L-lactic-co-glycolic acid) and Graphene Oxide Composite Films for Scaffolds

  • Yoon, Ok-Ja;Sohn, Il-Yung;Kim, Duck-Jin;Lee, Nae-Eung
    • Proceedings of the Korean Vacuum Society Conference
    • /
    • 2012.02a
    • /
    • pp.548-548
    • /
    • 2012
  • Thermomechanical and surface chemical properties of composite films of poly(D, L-lactic-co-glycolic acid) (PLGA) were significantly improved by the addition of graphene oxide (GO) nanosheets as nanoscale fillers to the PLGA polymer matrix. Enhanced thermomechanical properties of the PLGA/GO (2 wt.%) composite film, including an increase in the crystallization temperature and reduction in the weight loss, were observed. The tensile modulus of a composite film with increased GO fraction was presumably enhanced due to strong chemical bonding between the GO nanosheets and PLGA matrix. Enhanced hydrophilicity of the composite film due to embedded GO nanosheets also improved the biocompatibility of the composite film. Improved thermomechanical properties and biocompatibility of the PLGA composite films embedded with GO nanosheets may be applicable to biomedical applications such as scaffolds.

  • PDF

A Study on the Friction Characteristics of Automotive Composites Brake Pads Using Taguchi Method (다구치 방법을 이용한 복합재료 자동차용 마찰재의 마찰특성에 관한 연구)

  • 이정주;김윤해
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 2000.11a
    • /
    • pp.141-146
    • /
    • 2000
  • It has many variables and factors to design the friction materials for automotive brake pads. In this study, the friction and wear characteristics of automotive blake pads have been studied using 1:l full size dynamo meter. Using conventional manners, it takes a great of time and efforts to know that it affects the each raw materials for friction characteristics. For the purpose of examining the effect of each major raw materials, we used the more convenient Taguchi L9 ($3^4$) orthogonal matrix and 1/5 scale dynamo machine for evaluation of the friction characteristics of composite brake pads.

  • PDF

Comparison of Immobilization Matrix for Ethanol Fermentation by Zymomonas mobilis and Saccharomyces cerevisiae

  • Ryu, Sang-Ryeol;Lee, Ke-Ho
    • Journal of Microbiology and Biotechnology
    • /
    • v.7 no.6
    • /
    • pp.438-440
    • /
    • 1997
  • A continuous fermentation system employing immobilized cells of Zymomonas mobilis and Saccharomyces cerevisiae was studied for the mass production of ethanol. Ethanol production by cells immobilized with Ca-alginate was better than those by cells immobilized with K-carrageenan. Maximum ethanol production employing a continuous system by cells immobilized with Ca-alginate was 77.5 $g.l^{-1}h^{-1}$ at a dilution rate of 1.85 $h^{-1}$ with 82% conversion rate for Z. mobilis while that was 40.2 $g.l^{-1}h^{-1}$ at a dilution rate of 0.92 $h^{-1}$ with 85% conversion rate for S. cerevisiae. These results suggest that Ca-alginate is a better cell immobilization matrix than K-carrageenan and that immobilized cells of Z. mobilis are more efficient than S. cerevisiae for ethanol production.

  • PDF

Prediction of propagated wave profiles based on point measurement

  • Lee, Sang-Beom;Choi, Young-Myoung;Do, Jitae;Kwon, Sun-Hong
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.6 no.1
    • /
    • pp.175-185
    • /
    • 2014
  • This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time. Wave information based on the linear wave theory can be expressed by Fredholm integral equation of the first kinds. The discretized matrix equation is usually an ill-conditioned system. Tikhonov regularization was applied to the ill-conditioned system to overcome instability of the system. The regularization parameter is calculated by using the L-curve method. The numerical results are compared with the experimental results. The analysis of the numerical computation shows that the Tikhonov regularization method is useful.

Peanut sprout ethanol extract inhibits the adipocyte proliferation, differentiation, and matrix metalloproteinases activities in mouse fibroblast 3T3-L1 preadipocytes

  • Kim, Woo Kyoung;Kang, Nam E;Kim, Myung Hwan;Ha, Ae Wha
    • Nutrition Research and Practice
    • /
    • v.7 no.3
    • /
    • pp.160-165
    • /
    • 2013
  • 3T3-L1 preadipocyte were differentiated to adipocytes, and then treated with 0, 10, 20, and $40{\mu}g/mL$ of peanut sprout ethanol extract (PSEE). The main component of PSEE is resveratrol which contained 5.55 mg/mL of resveratrol. The MTT assay, Oil-Red O staining, glycerol-3-phosphate dehydrogenase (GPDH) activity, and the triglyceride concentration were determined in 3T3-L1 cells. MMP-2 and MMP-9 activities as well as mRNA expressions of C/EBP ${\beta}$ and C/EBP ${\alpha}$ were also investigated. As the concentration of PSEE in adipocytes increased, the cell proliferation was decreased in a dose-dependent manner from 4 days of incubation (P < 0.05). The GDPH activity (P < 0.05) and the triglyceride concentration (P < 0.05) were decreased as the PSEE treatment concentration increased. The mRNA expression of C/EBP${\beta}$ in 3T3-L1 cells was significantly low in groups of PSEE-treated, compared with control group (P < 0.05). The MMP-9 (P < 0.05) and MMP-2 (P < 0.05) activities were decreased in a dose-dependent manner as the PSEE concentration increased from $20{\mu}g/mL$. In conclusion, it was found that PSEE has an effect on restricting proliferation and differentiation of adipocytes.

Strengthening of C/C Composites through Ceramer Matrix

  • Dhakate, S.R.;Mathur, R.B.;Dhami, T.L.
    • Carbon letters
    • /
    • v.5 no.4
    • /
    • pp.159-163
    • /
    • 2004
  • The polymer-ceramic hybrid, known as 'ceramer', was synthesized by a sol-gel process by incorporating different amount of alkoxide as source of silicon in resorcinol-formaldehyde in presence of basic catalyst to get different percentage of silicon in ultimate carbonized composites. FTIR of the ceramer confirms that it is a network of Si-O-Si, Si-O-$CH_2$ and Si-OH type groups linked with benzene ring. Different amount of silicon in the ceramer exhibits varying temperature of thermal stability and lower coefficient of thermal expansion as compared to pure resorcinol-formaldehyde resin. The lower value of CTE in ceramer is due to existence of silica and resorcinol -formaldehyde in co-continuous phase. Unidirectional composites prepared with ceramer matrix and high-strength carbon fibers show lower value of flexural strength at polymer stage as compared to those prepared with resorcinol-formaldehyde resin. However, after heat treatment to $1450^{\circ}C$, the ceramer matrix composites show large improvement in the mechanical properties, i.e. with 7% silicon in the ceramer, the flexural strength is enhanced by 100% and flexural modulus value by 40% as compared to that of pure resorcinol-formaldehyde resin matrix composites.

  • PDF

Analysis and Modeling of Wireless Power Transfer Systems using Magnetically Coupled Resonator Scheme with Relay Coils (릴레이 코일을 포함한 자기 공명 방식 무선 전력 전송 시스템의 분석 및 모델링)

  • Park, Hee-Su;Kwon, Min-Sung;Kim, Min-Ji;Park, Hyeon-Min;Ku, Hyun-Chul
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.28 no.1
    • /
    • pp.69-78
    • /
    • 2014
  • In this paper, characteristics of wireless power transfer (WPT) systems using magnetically coupled resonance scheme with relay coils are investigated and modeled. Especially, asymmetric frequency splitting characteristics in over-coupled region of WPT with relays are measured and accurately modeled. Transmitter, receiver, and relay coils are modeled with R, L, C equivalent circuits. Using these circuit models and mutual inductances between coils, a WPT system is described with a linear matrix equation. For under-coupled region, a matrix is simplified considering only mutual inductances between adjacent coils. An analytical transfer characteristic of WPT system vs. distance is extracted using an inverse matrix that is acquired by Gauss elimination method for the simplified matrix. For over-coupled region, a matrix considering mutual inductances between non-adjacent coils is used to predict a frequency splitting characteristics accurately. A 6.3MHz WPT system with relay coils is implemented and measured. An accuracy of the model is investigated by comparing the output of the model with the measured results.

Improving on Matrix Factorization for Recommendation Systems by Using a Character-Level Convolutional Neural Network (문자 수준 컨볼루션 뉴럴 네트워크를 이용한 추천시스템에서의 행렬 분해법 개선)

  • Son, Donghee;Shim, Kyuseok
    • KIISE Transactions on Computing Practices
    • /
    • v.24 no.2
    • /
    • pp.93-98
    • /
    • 2018
  • Recommendation systems are used to provide items of interests for users to maximize a company's profit. Matrix factorization is frequently used by recommendation systems, based on an incomplete user-item rating matrix. However, as the number of items and users increase, it becomes difficult to make accurate recommendations due to the sparsity of data. To overcome this drawback, the use of text data related to items was recently suggested for matrix factorization algorithms. Furthermore, a word-level convolutional neural network was shown to be effective in the process of extracting the word-level features from the text data among these kinds of matrix factorization algorithms. However, it involves a large number of parameters to learn in the word-level convolutional neural network. Thus, we propose a matrix factorization algorithm which utilizes a character-level convolutional neural network with which to extract the character-level features from the text data. We also conducted a performance study with real-life datasets to show the effectiveness of the proposed matrix factorization algorithm.