• Title/Summary/Keyword: P-Y curves

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THE COMPUTATION METHOD OF THE MILNOR NUMBER OF HYPERSURFACE SINGULARITIES DEFINED BY AN IRREDUCIBLE WEIERSTRASS POLYNOMIAL $z^n$+a(x,y)z+b(x,y)=0 in $C^3$ AND ITS APPLICATION

  • Kang, Chung-Hyuk
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.169-173
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    • 1989
  • Let V={(x,y,z):f=z$^{n}$ -npz+(n-1)q=0 for n .geq. 3} be a compled analytic subvariety of a polydisc in $C^{3}$ where p=p(x,y) and q=q(x,y) are holomorphic near (x,y)=(0,0) and f is an irreducible Weierstrass polynomial in z of multiplicity n. Suppose that V has an isolated singular point at the origin. Recall that the z-discriminant of f is D(f)=c(p$^{n}$ -q$^{n-1}$) for some number c. Suppose that D(f) is square-free. then we prove that by Theorem 2.1 .mu.(p$^{n}$ -q$^{n-1}$)=.mu.(f)-(n-1)+n(n-2)I(p,q)+1 where .mu.(f), .mu. p$^{n}$ -q$^{n-1}$are the corresponding Milnor numbers of f, p$^{n}$ -q$^{n-1}$, respectively and I(p,q) is the intersection number of p and q at the origin. By one of applications suppose that W$_{t}$ ={(x,y,z):g$_{t}$ =z$^{n}$ -np$_{t}$ $^{n-1}$z+(n-1)q$_{t}$ $^{n-1}$=0} is a smooth family of complex analytic varieties near t=0 each of which has an isolated singularity at the origin, satisfying that the z-discriminant of g$_{t}$ , that is, D(g$_{t}$ ) is square-free. If .mu.(g$_{t}$ ) are constant near t=0, then we prove that the family of plane curves, D(g$_{t}$ ) are equisingular and also D(f$_{t}$ ) are equisingular near t=0 where f$_{t}$ =z$^{n}$ -np$_{t}$ z+(n-1)q$_{t}$ =0.}$ =0.

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Comparison of Antibacterial Activities of Green Tea Extracts and Preservatives to the Pathogenic Bacteria (녹차추출물과 보존료의 식중독세균에 대한 항균활성 비교)

  • 박찬성;차문석
    • The Korean Journal of Food And Nutrition
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    • v.13 no.1
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    • pp.36-44
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    • 2000
  • Survival of pathogenic bacteris(S. aureus, L. monocytogenes, E. coli and S. typhimurium) in tryptic soy broth containing green tea water extract(GTW), green tea ethanol extract(GTE), potassium sorbate (PS) and sodium benzoate(SB) stored at various pH was evaluated. Tryptic soy broth(TSB) containing 0∼2%(w/v) of green tea extracts and preservatives adjusted to pH 5.5, 6.0, 6.5 and 7.0 was inoculated approximately 105 CFU/ml of pathogenic bacteria and incubated at 35$^{\circ}C$ for 24∼48 hours. Survival of bacteria was determined by viable cell counts of bacterial culture at each pH. Minimum inhibitory concentration(MIC) and minimum bactericidal concentration(MBC) of green tea extracts and preservatives against pathogenic bacteria were derived from survival curves of each bacteria. Antibacterial activities of green tea extracts increased with increasing pH but those of preservatives decreased with increrasing pH. S. aureus was the most sensitive strain to GTW and GTE but the most resistant to PS and SB. The MICs of green tea extracts to S. aureus were 0.52∼0.98% at pH 5.5∼6.0 and non inhibitory at pH 7.0. S. typhimurium was the most resistant to green tea extracts while the most sensitive to SB. The MICs of green tea extracts to S. typhimurium were 0.46∼1.62% at pH 5.5∼6.0 and 2% of PS was bactericidal at pH 5.5. 1.0∼2.0% of GTE were bactericidal to all strains tested except L. m9oncytogenes at pH 7.0. GTE was most efficient at inactivating pathogenic bacteria, generally followed by GTW, PS and SB.

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Non-linear analysis of pile groups subjected to lateral loads using 'p-y' curve

  • Chore, H.S.;Ingle, R.K.;Sawant, V.A.
    • Interaction and multiscale mechanics
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    • v.5 no.1
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    • pp.57-73
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    • 2012
  • The paper presents the analysis of two groups of piles subjected to lateral loads incorporating the non-linear behaviour of soil. The finite element method is adopted for carrying out the parametric study of the pile groups. The pile is idealized as a one dimensional beam element, the pile cap as two dimensional plate elements and the soil as non-linear elastic springs using the p-y curves developed by Georgiadis et al. (1992). Two groups of piles, embedded in a cohesive soil, involving two and three piles in series and parallel arrangement thereof are considered. The response of the pile groups is found to be significantly affected by the parameters such as the spacing between the piles, the number of piles in a group and the orientation of the lateral load. The non-linear response of the system is, further, compared with the one by Chore et al. (2012) obtained by the analysis of a system to the present one, except that the soil is assumed to be linear elastic. From the comparison, it is observed that the non-linearity of soil is found to increase the top displacement of the pile group in the range of 66.4%-145.6%, while decreasing the fixed moments in the range of 2% to 20% and the positive moments in the range of 54% to 57%.

Evaluation of P-M Interaction Curve for Circular Concrete-Filled Tube (CFT) Column (원형 콘크리트 충전 강관(CFT) 기둥의 P-M 상관 곡선 평가)

  • Moon, Jiho;Park, Keum-Sung;Lee, Hak-Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.2
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    • pp.355-365
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    • 2014
  • Concrete-filled tubes (CFTs) have been used in civil engineering practices as a column of buildings and a bridge pier. CFTs have several advantages over the conventional reinforced concrete columns, such as rapid construction, enhanced buckling resistance, and inherited confinement effect. However, CFT component have not been widely used in civil engineering practice, since the design provisions among codes significantly vary each other. It leads to conservative design of CFT component. In this study, the design provisions of AISC and EC4 for CFT component were examined, based on the extensive test results conducted by previous researchers and finite element analysis results obtained in this study. Especially, the focus was made on the validation of P-M interaction curves proposed by AISC and EC4. From the results, it was found that the current design codes considerably underestimated the strength of CFT component under general combined axial load and bending. Finally, the modified P-M interaction curve was proposed and successfully verified.

Promoter Methylation of CDKN2A, $RAR{\beta}$, and RASSF1A in Non-Small Cell Lung Carcinoma: Quantitative Evaluation Using Pyrosequencing

  • Lee, Jung Uee;Sul, Hae Joung;Son, Ji Woong
    • Tuberculosis and Respiratory Diseases
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    • v.73 no.1
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    • pp.11-21
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    • 2012
  • Background: While qualitative analysis of methylation has been reviewed, the quantitative analysis of methylation has rarely been studied. We evaluated the methylation status of CDKN2A, $RAR{\beta}$, and RASSF1A promoter regions in non-small cell lung carcinomas (NSCLCs) by using pyrosequencing. Then, we evaluated the association between methylation at the promoter regions of these tumor suppressor genes and the clinicopathological parameters of the NSCLCs. Methods: We collected tumor tissues from a total of 53 patients with NSCLCs and analyzed the methylation level of the CDKN2A, $RAR{\beta}$, and RASSF1A promoter regions by using pyrosequencing. In addition, we investigated the correlation between the hypermethylation of CDKN2A and the loss of $p16^{INK4A}$ immunoexpression. Results: Hypermethylation of CDKN2A, $RAR{\beta}$, and RASSF1A promoter regions were 16 (30.2%), 22 (41.5%), and 21 tumors (39.6%), respectively. The incidence of hypermethylation at the CDKN2A promoter in the tumors was higher in undifferentiated large cell carcinomas than in other subtypes (p=0.002). Hyperrmethylation of CDKN2A was significantly associated with $p16^{INK4A}$ immunoexpression loss (p=0.045). With regard to the clinicopathological characteristics of NSCLC, certain histopathological subtypes were found to be strongly associated with the loss of $p16^{INK4A}$ immunoexpression (p=0.016). Squamous cell carcinoma and undifferentiated large cell carcinoma showed $p16^{INK4A}$ immunoexpression loss more frequently. The Kaplan-Meier survival curves analysis showed that methylation level and patient survival were barely related to one another. Conclusion: We quantitatively analyzed the promoter methylation status by using pyrosequencing. We showed a significant correlation between CDKN2A hypermethylation and $p16^{INK4A}$ immunoexpression loss.

Electrical Properties of V-I Curve of p-ZnO:Al/n-ZnO:Al Junction Fabricate by RF Magnetron Sputtering

  • Jin, Hu-Jie;So, Soon-Jin;Song, Min-Jong;Park, Choon-Bae
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2007.11a
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    • pp.408-409
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    • 2007
  • Al-doped p-type ZnO films were fabricated on n-Si (100) and homo-buffer layers in pure oxygen at $450^{\circ}C$ by RF magnetron sputtering. Target was ZnO ceramic mixed with 2wt% $Al_2O_3$. XRD spectra show that the Al-doped ZnO thin films have ZnO crystal structure and homo-buffer layers are beneficial to Al-doped ZnO films to grow along c-axis. Hall Effect experiments with Van der Pauw configuration show that p-type carrier concentrations are ranged from $1.66{\times}10^{16}\;to\;4.04{\times}10^{18}cm^{-3}$, mobilities from 0.194 to $2.3cm^2V^{-1}s^{-1}$ and resistivities from 7.97 to $18.4{\Omega}cm$. P-type sample has density of $5.40cm^{-3}$ which is smaller than theoretically calculated value of $5.67cm^{-3}$. XPS spectra show that O1s has O-O and Zn-O structures and A12p has only Al-O structure. P-ZnO:Al/n-ZnO:Al junctions were fabricated by magnetron sputtering. V-I curves show that the p-n junctions have rectifying characteristics.

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A Study on p-y Curves with Pressuremeter Tests in Jeju Basalt Rock (공내재하시험을 이용한 제주 현무암의 p-y 곡선 연구)

  • Yang, Ki-Ho;Huh, Jong-Chul;Park, Jeong-Jun
    • Journal of the Korean Geosynthetics Society
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    • v.14 no.4
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    • pp.129-137
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    • 2015
  • Recently, offshore wind farms are increasingly expected, because there are huge resource and large site in offshore. Jeju island has optimum condition for constructing a wind energy farm. Unlike the mainland, Jeju island has stratified structure distribution between rock layers sediments due to volcanic activation. In these case, it can be occur engineering problems in whole structures as well as the safety of foundation as the thickness and distribution of sediment under top rock layer can not support sufficiently the structure. One of the most obvious applications of the pressuremeter test is the solution of the problem of laterally loaded piles. A hyperbolic non-linear p-y criterion for rock is developed in this study that can be used in LPILE program, to predict the deflection, moment, and shear reponses of a shaft under the applied lateral loads. Finally, a comparison between the predicted and measured response at two different sites is shown to give an idea of the accuracy of the IFP method.

Evaluation of Dynamic p-y Curves of Group Piles Using Centrifuge Model Tests (원심모형실험을 이용한 무리말뚝의 동적 p-y 곡선 산정)

  • Nguyen, Bao Ngoc;Tran, Nghiem Xuan;Kim, Sung-Ryul
    • Journal of the Korean Geotechnical Society
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    • v.34 no.5
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    • pp.53-63
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    • 2018
  • Dynamic soil-pile interaction is the main concern in the design of group piles under earthquake loadings. The lateral resistance of the pile group under dynamic loading becomes different from that of a single pile due to the group pile effect. However, this aspect has not yet been properly studied for the pile group under seismic loading condition. Thus, in this study the group pile effect was evaluated by performing a series of dynamic centrifuge tests on $3{\times}3$ group pile in dry loose sand. The multiplier coefficients for ultimate lateral resistance and subgrade reaction modulus were suggested to obtain the p-y curve of the group pile. The suggested coefficients were verified by performing the nonlinear dynamic analyses, which adopted Beam on Nonlinear Winkler Foundation model. The predicted behavior of the pile group showed the reasonable agreement compared with the results of the centrifuge tests under sinusoidal wave and artificial wave.

A Study on the p-y Curves by Small-Scale Model Tests (모형실험을 통한 말뚝의 p-y 곡선에 관한 연구)

  • Kim, Tae-Sik;Jeong, Sang-Seom;Kim, Young-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.1C
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    • pp.41-51
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    • 2008
  • The load distribution and deformation of single piles which is embedded in Jumunjin sand and Kimhae clay are investigated, based on small scale model tests. Special attention is given to the consideration of flexural rigidity in laterally loaded piles. To consider the flexural rigidity of the pile, tests are performed with the aluminium piles of three different length under different relative densities and undrained shear strength. The test results indicate that the initial slope from the results of tests is proportional to the depth and pile-soil rigidity in both soils. But the increasing rate of the initial slope in the clay is less than in the sand. In addition, the soil resistance is more related to the depth and soil condition than the pile rigidity. Base on the test results, an empirical formula is proposed, which is good agreement with previously published small scale model test and field lateral load test.

Prediction of Thermal Diffusivities of Meat Products Containing Fish Meat (혼합육 가공품의 열확산도 추정에 관한 연구)

  • LEE Keon-Young;PARK Sang-Min;AN Hee-Woo;CHO Hyun-Duk;HAN Bong-Ho
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.26 no.1
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    • pp.26-30
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    • 1993
  • To suggest a thermal diffusivity predicting equation for mixed meat products, heat penetration curves of pork products containing filefish meat were plotted in the temperature range of $80.44{\sim}121.03^{\circ}C$, and thermal diffusivities were calculated from the heat penetration curves. The ground pork was mixed with minced filefish meat and some additives such as lard, isolated soy protein, $1.5\%$ of table salt and $2\%$ of polyphosphate to control the composition and texture of products, and then stuffed into a model can. The heat penetration curves were plotted using a thermocouple fixed at the slowest heating point of the can. At constant heating temperature, the thermal diffusivities of the products increased linearly with increasing moisture content. The values of the products with constant moisture content also increased linearly with increasing heating temperature. The thermal diffusivities of the products with moisture content of $51.47{\sim}80.20\%$ could be predicted by following equation: $${\alpha}_p=(3.045+0.59{\cdot}X_w){\cdot}{\alpha}_w+0.0098{\cdot}10^{-6}{\cdot}X_w-0.4287{\cdot}10^{-6},(m^2{\cdot}s^{-1})$$ Maximal differences of the thermal diffusivities predicted with this equation were in the range of ${\pm}0.8\%$ compared with the practical values. This equation and another predicting equation obtained from the previous study for the pork product without fish meat could be simplified as following one equation, and the maximal differences of the thermal diffusivities predicted with this equation for both products with and without fish meat were in the range of less than ${\pm}2.5\%$ $${\alpha}_p=(2.290+0.54{\cdot}X_w){\cdot}{\alpha}_w+0.0024{\cdot}10^{-6}{\cdot}X_w-0.3535{\cdot}10^{-6},(m^2{\cdot}s^{-1})$$

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