• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.509-520
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• 2003

Let p be a prime number, $Q_{p}$ the field of p-adic numbers, K a finite extension of $Q_{p}$, $\bar{K}}$ a fixed algebraic closure of K and $C_{p}$ the completion of K with respect to the p-adic valuation. Let E be a closed subfield of $C_{p}$, containing K. Given elements $t_1$...,$t_{r}$ $\in$ E for which the field K($t_1$...,$t_{r}$) is dense in E, we construct integral bases of E over K.

• Communications of the Korean Mathematical Society
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• v.21 no.1
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• pp.101-115
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• 2006

Localization of sequences with respect to Riesz bases for Hilbert spaces are comparable with perturbation of Riesz bases or frames. Grochenig first introduced the notion of localization. We introduce more general definition of localization and show that exponentially localized sequences and polynomially localized sequences with respect to Riesz bases are Bessel sequences. Furthermore, they are frames provided some additional conditions are satisfied.

• Journal of the Korean Institute of Intelligent Systems
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• v.9 no.4
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• pp.457-461
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• 1999

We will define a base of a fuzzy (quasi-)uniform space and investigate some properties. of bases. In particular for the family ${{\beta}i}_{i{\epsilon}} of fuzzy$ (quasi-)uniform bases on X there exists the coarsest fuzzy (quasi-) uniformity on X which is finer than fuzzy (quasi-)uniform ${\Phi}_{{\beta}i} generated by {\beta}_i for each i{\epsilon}{\Gamma}.$

• Journal of the Korean Mathematical Society
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• v.57 no.4
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• pp.973-986
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• 2020

In this paper, we compute the Hankel matrix representation of the Hankel operator on the Hardy space of a general bounded domain with respect to special orthonormal bases for the Hardy space and its orthogonal complement. Moreover we obtain the compact form of the Hankel matrix for the unit disc case with respect to these bases. One can see that the Hankel matrix generated by this computation turns out to be a generalization of the case of the unit disc from the single simply connected domain to multiply connected domains with much diversities of bases.

• Journal of the Korean Mathematical Society
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• v.49 no.4
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• pp.745-763
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• 2012

We use Kazhdan-Lusztig bases of representations of the symmetric group to express Pfaffians with entries $(a_i-a_j)h_{i+j}$. In the case where the parameters $a_i$ are specialized to successive powers of $q$, and the $h_i$ are complete functions, we obtain the $q$-discriminant.

• International Journal of Industrial Entomology and Biomaterials
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• v.3 no.1
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• pp.51-56
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• 2001

Field experiments were conducted to find out the effec- tive control measures with some bases alone and in combination with Dichlorvos and Dimethoate for the whitefly Aleuroclava sp. Singh in the mulberry garden. Four common bases marketed in India Soda, Sunlight, Nirma and Surf at 1% concentration and their synergists with 0.02% Dichlorvos and 0.03% Dimethoate applied to mulberry plants reduced the whitefly by 46-95% (adults) 50-90% (nymphs) upto 15 days of application. Amongst the bases 1% Soda is more effective but, the mixing of 0.02% Dichlorvos with 1% Surf found more effective than 0.02% Dichlorvos With 1% Soda solution. As Surf and Dichlorvos mixture is costly for the control of whitely, Soda was found better (in combination with Dichlorvos) as it is cheaper and easily available to the farmers.

• Corrosion Science and Technology
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• v.8 no.1
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• pp.1-10
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• 2009

The influence of Schiff bases on the corrosion inhibition of mild steel in 1 M $H_2SO_4$ have been investigated by weight loss, gasometry, impedance and polarization techniques. The results obtained reveal that these compounds act as good inhibitors. The inhibition efficiency of Schiff bases increased with concentration and synergistically increased on addition of chromate, sulphate and halide ions. Potentiodynamic polarization measurements clearly reveal that the investigated inhibitors are of mixed type but they are more cathodic in nature. The adsorption of these compounds on mild steel surface for both the acids were found to obey Langmuir adsorption isotherm. The surface morphology was studied by SEM and UV reflectance spectra.

• Proceedings of the Korea Inteligent Information System Society Conference
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• 1999.10a
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• pp.303-311
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• 1999

The amount of financial information in today's sophisticated large data bases is huge and makes comparisons between company performance difficult or at least very time consuming. The purpose of this paper is to investigate whether neural networks in the form of self-organizing maps can be used to manage the complexity in large data bases. This paper structures and analyzes accounting numbers in a large data base over several time periods. By using self-organizing maps, we overcome the problems associated with finding the appropriate underlying distribution and the functional form of the underlying data in the structuring task that is often encountered, for example, when using cluster analysis. The method chosen also offers a way of visualizing the results. The data base in this study consists of annual reports of more than 80 Korean companies with data from the year 1998.

• Journal of the Korean Chemical Society
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• v.59 no.6
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• pp.483-487
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• 2015

The different calculated quantum chemical descriptors by DFT method were used for prediction of some sulphanilamide Schiff bases inhibitor activity as a binding constant (log K). Multiple linear regression (MLR) and artificial neural network (ANN) were employed for developing the useful quantitative structure activity relationship (QSAR) model. The obtained results presented superiority of ANN model over the MLR one. The offering QSAR model is very easy to computation and Physico-Chemically interpretable. Sensitivity analysis was used to determine the relative importance of each descriptor in ANN model. The order of importance of each descriptor according to this analysis is: molecular volume, molecular weight and dipole moment, respectively. These descriptors appear good information related to different structure of sulphanilamide Schiff bases can participate in their inhibitor activity.

• Proceedings of the Korean Institute of Surface Engineering Conference
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• 2009.05a
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• pp.150-150
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• 2009

We prepared the Au-coated $TiO_2$ (Au/$TiO_2$) nanoparticles by deposition-precipitation (DP) method with and without bases (urea or NaOH) and investigated the effects of pH on the preparation of Au/$TiO_2$ nanoparticles for various kinds of bases. For the DP method without bases, the Au nanoparticles in the diameter of about 50 nm were generated in the solution by the reduction reaction with trisodium citrate and they did not deposit on the surface of $TiO_2$. For the DP method with bases, Au precursors deposited on the surface of $TiO_2$ and then reduced to the Au nanoparticles in the diameter of 4-5 nm on the surface of $TiO_2$ by the reaction with trisodium citrate.