• Journal of Integrative Natural Science
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• v.7 no.4
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• pp.273-277
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• 2014

In this article, we consider a singular and a degenerate elliptic operators in a divergence form. The singularities exist on a part of boundary, and comparable to the logarithmic distance function or its inverse. If we assume that the operator can be treated in a pointwise sense than distribution sense, with this operator we obtain a priori Harnack continuity near the boundary. In the proof we transform the singular elliptic operator to uniformly bounded elliptic operator with unbounded first order terms. We study this type of estimations considering a De Giorgi conjecture. In his conjecture, he proposed a certain ellipticity condition to guarantee a continuity of a solution.

• East Asian mathematical journal
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• v.32 no.1
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• pp.43-46
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• 2016

The Clausen function $Cl_2$(x) arises in several applications. A large number of indefinite integrals of logarithmic or trigonometric functions can be expressed in closed form in terms of $Cl_2$(x). Very recently, Choi and Srivatava [3] and Choi [1] investigated certain integral formulas associated with $Cl_2$(x). In this sequel, we present an interesting new definite integral formula for the Clausen function $Cl_2$(x) by using a known relationship between the Clausen function $Cl_2$(x) and the generalized Zeta function ${\zeta}$(s, a). Also an interesting integral representation for the Catalan constant G is considered as one of two special cases of our main result.

• Kyungpook Mathematical Journal
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• v.64 no.1
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• pp.95-111
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• 2024

The filled function method is useful in solving unconstrained global optimization problems. However, depending on the type of function, and parameters used, there are limitations that cause difficultiies in implemenations. Exponential and logarithmic functions lead to the overflow effect, requiring iterative adjustment of the parameters. This paper proposes a polynomial-filled function that has a general form, is non-exponential, nonlogarithmic, non-parameteric, and continuously differentiable. With this newly proposed filled function, the aforementioned shortcomings of the filled function method can be overcome. To confirm the superiority of the proposed filled function algorithm, we apply it to a set of unconstrained global optimization problems. The data derived by numerical implementation shows that the proposed filled function can be used as an alternative algorithm when solving unconstrained global optimization problems.

• Korean Journal of Microbiology
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• v.30 no.4
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• pp.291-298
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• 1992

Srrepromycec. corlirolar produces at least 4 catalase activity bands with different electrophoretic mobilities on polyacrylamide gel which vary during development. Spores and mycelia at stationary phase produced all the activity bands(Cat1. 760 kr); Cat3-I, 170 kD: Cat3-2, 140 kD: Cat3-3. 130 kD; Cat4, 70 kD) except for Cat2 (300 kD). Mycelia at mid-logarithmic phase produced only Cat2 and Cat3-2 bands, and mycelia at late-logarithmic phase produced bands except Catl and Cat\ulcorner. Catalase-deficient mutants were screened in S. coelicalur by H201 bubbling test following NTG mutagenesis. Wc tested sevcral non-bubbling or slow-bubbling mutants for their catalase activities. The overall activities in cell extracts decreased more than 5 fold. Activity bands in native gel selectively decreased in intensity or disappeared. In all the non-bubbling mutants testcd, Cat3-2 band decreased significantly or disappeared. suggesting that Cat3-2 is the major catalase. The selective disappearance of bands in mutants suggest that each band is governed by different genes. We purified catalase activity from -:ell extracts obtained at late-logarithmic phase. Following chromatographies on Sepharose CL-4B. DEAE Sepharose CL-6B. Phcnyl Sepharose CL-4B. and hydroxylapatite columns. only the Cat3-2 activity was obtained. The native form of Cat3-2 has molecular weight of approximately 140 kD, judged by gel electrophoresis. Thc electrophoretic mobility on SDS-polyactylamide gel suggests that this enzyme contains 2 identical subunits of 67 kD.

• Steel and Composite Structures
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• v.21 no.1
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• pp.93-107
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• 2016

Seismic fragility analysis is a probabilistic decision-making framework which is widely implemented for evaluating vulnerability of a building under earthquake loading. It requires ingredient named probabilistic model and commonly developed using statistics requiring collecting data in large quantities. Preparation of such a data-base is often costly and time-consuming. Therefore, in this paper, by developing generic seismic drift demand model for regular-multi-story steel moment resisting frames is tried to present a novel application of the probabilistic decision-making analysis to practical purposes. To this end, a demand model which is a linear function of intensity measure in logarithmic space is developed to predict overall maximum inter-story drift. Next, the model is coupled with a set of regression-based equations which are capable of directly estimating unknown statistical characteristics of the model parameters.To explicitly address uncertainties arise from randomness and lack of knowledge, the Bayesian regression inference is employed, when these relations are developed. The developed demand model is then employed in a Seismic Fragility Analysis (SFA) for two designed building. The accuracy of the results is also assessed by comparison with the results directly obtained from Incremental Dynamic analysis.

• Journal of Nutrition and Health
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• v.29 no.9
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• pp.971-980
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• 1996

The soluble transferrin receptor(TfR) in human serum has been shown recently to be a truncated form of intact membrane bound receptor containing most of the extracellular domain. We purfied the transferin-free TfR from human serum by immounoaffinity chromatography which produced the single protein identity in high resolution gel chormatography. The monoclonal antibodies(MAb) against purifed serum TfR were produced by fusion of spleen cells o fimmunized Balb/c mice and SP2 cells. Ten hybrids producing MAb specific for serum TfR were identifed and determine their iostypes. A immunoraddiometric assay (IRMA) for serum TfR was established using two monoclonal IgG1 antibodies as the coating and indicator antibodies on the bosis of their suitability in sandwich IRMA of serum TfR. The mean serum TfR levels in the 15 normal male, 15 normal female, and 19 iron-deficient subjects were 5.4$\pm$0.98, 4.6$\pm$0/76, and 18.0$\pm$12.8mg/1, respectively, and the difference in mean values between normal and iron deficient subjects was significant(p=0.0005). There existed the inverse logarithmic relationship(r=-0.9336, p<0.0001) between the serum TfR and ferritin levels.

• Korean Journal of Air-Conditioning and Refrigeration Engineering
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• v.19 no.6
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• pp.457-463
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• 2007

Various correlations of saturated vapor density in a truncated power series form are tested and compared in this study. Saturated vapor density correlation can be expressed relating logarithmic reduced density to the reduced temperature. Five types of correlation has been investigated using saturated vapor density data for 22 pure substance refrigerants from ASHRAE (American Society of Heating, Reftigerating and Air-Conditioning Engineers, Inc.) property tables and NIST (National Institute of Standards and Technology) Chemistry Webbook. Correlations are fitted to the data points by least squares method. Data points are equally weighted. The best type of correlation among the five types is suggested. The results obtained indicate that the best correlations with 3, 4, and 5 terms yield average AAD's (Average Absolute Deviation) of 0.27%, 0.04%, and 0.02%, respectively, while widely used conventional correlations with 3, 4, and 5 terms yield those of 1.19%, 0.61%, and 0.17%. The suggested type of correlation could reduce the number of terms while improving performance.

• 한국지구물리탐사학회:학술대회논문집
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• 2006.06a
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• pp.195-200
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• 2006

Laboratory creep experiments show that compaction of unconsolidated shale is an irrecoverable process caused by viscous time-dependent deformation. Using Perzyna's viscoplasticity framework combined with the modified Cam-clay theory, we found the constitutive equation expressed in the form of strain rate as a power law function of the ratio between the sizes of dynamic and static yield surfaces. We derived the volumetric creep strain at a constant hydrostatic pressure level as a logarithmic function of time, which is in good agreement with experimental results. The determined material constants indicate that the yield stress of the shale increases by 6% as strain rate rises by an order of magnitude. This demonstrates that the laboratory-based prediction of yield stress (and porosity) may result in a significant error in estimating the properties in situ.

• Microbiology and Biotechnology Letters
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• v.22 no.2
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• pp.143-151
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• 1994

In the course of the study on strain inprovement by protoplast fusion, Lactobacillus acidophilus 88 protoplasts production and regeneration conditions were investigated. This strain produced a bacteriocin that revealed strong inhibitory activity against various indicator strains, especially L. helveticus CNRZ 1096. Protoplasts of L. acidophilus 88 strains were very efficiently obtained by treatment with 125 $\mu $g/ml lysozyme in a protoplast forming buffer containing 20 mM N-2 hydroxy-ethtl-piperazine-N'-2-ethane-sulfonic acid(HEPES, pH 7.0) and 1M sucrose at 37$\circ $C for 30 min. Hovever, treatment with mutanolysin was not effective for the production of L. acidophilus 88 protoplasts under the same conditions. High protoplast yield was obtained form the cells at the middle to late logarithmic growth phase in the de Man, Rogosa and Sharpe(MRS) medium. Regeneration was efficiently accomplished with the MRS medium containing 10% sucrose.

• Microbiology and Biotechnology Letters
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• v.26 no.1
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• pp.61-67
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• 1998

Recombinant human epidermal growth factor (rhEGF) was produced by E. coli BL2l (DE3) harboring a plasmid pYHB101. The production of rhEGF was 44.5 mg/L when the E. coli BL2l (pYHB101) was cultured at 27$^{\circ}C$ for 48 hr in the modified MBL medium containing 10 $\mu\textrm{g}$/L glucose with 10 $\mu\textrm{m}$ IPTG/lactose induction at 2 hr after inoculation. It was shown that lactose is able to induce the rhEGF expression of E. coli BL2l (pYHB101) with the same efficiency as IPTG. In the batch culture system, when induced with 10 $\mu\textrm{m}$ lactose, E. coli BL2l (pYHB101) produced maximum 45 mg/L of the rhEGF at 28 hr culture in the modified MBL medium containing 10 g/L glucose. In the semi-fed batch culture system, the volumetric yield was 160 mg/L when the culture was added with 0.5% (w/v) lactose and 0.25% (w/v) yeast extract in the late logarithmic phase and 94.3% of rhEGF was secreted as soluble form. However, when the culture was added with them in the early logarithmic phase, the volumetric yield was 120 mg/L and 20.9% of rhEGF was found in cytoplasmic insoluble aggregates. It was found that the addition time of lactose was important for production of soluble rhEGF from E. coli BL21 (pYHB101).