• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.627-641
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• 2012

We found a few students had an error in the function and equation units, because most of mathematicians omitted the multiplication signs. In the mathematical history, the multiplication and parentheses signs had various changes. Based on the Histogenetic Principle, high level students know that the letter in the functions and equations represents a number and the related principles, so they have no big problems. But since the low level students stay in the early days in the mathematical history, they have some problems in the modern function and equation. Therefore, while we study the function and equation units with the low level students, we present that we have to be cautious when we omit the multiplication and parentheses signs.

• Journal of KIISE:Computer Systems and Theory
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• v.27 no.5
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• pp.475-484
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• 2000

Recently, processor arrays to enhance the banRecently, processor arrays to enhance the bandwidth of buses and to reduce the complexity of hardwares, using optical buses instead of electronic buses, have been proposed in manyliteratures. In this paper, we first propose a constant-time algorithm for parentheses matching problemon a linear array with slotted optical buses (LASOB).Then, given an algebraic expression of length n, we also propose a cost optimal parallel algorithmthat constructs computational tree form in the steps of constant time on LASOB with n processorsby using parentheses matching algorithm. A cost optimal parallel algorithm for this problem that runsin constant time has not yet been known on any parallel computation models.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.289-307
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• 2018

Although mixed calculation of natural numbers is important in that it completes arithmetic calculation of natural numbers in elementary school, few studies have been conducted regarding its instruction methods. Given this, this study analyzed Korean mathematics textbooks (from the fifth textbooks to the 2009 revised textbooks) along with Japanese and Singaporean textbooks in terms of the parentheses and the order of operations regarding mixed calculation of natural numbers. The results of this study showed that there were differences in introducing the parentheses and representing them in an explicit way per textbooks. In the Korean textbooks, the order of operations was presented mostly with the real-life contexts but it was not always in a diagrammatic representation. In contrast, in the Singaporean textbooks, the order of operations was presented without the real-life contexts and the use of calculators was emphasized. In the Japanese textbooks, the order of operations was presented with the real-life contexts and a hierarchy of operations was emphasized. Based on these results, this study suggested several implications of textbook development and instructional methods regarding mixed calculations of natural numbers.

• Journal of the Korean School Mathematics Society
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• v.19 no.1
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• pp.1-19
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• 2016

This study investigated the mathematical notation used today in terms of skip ping the parenthesis. At first we have studied the elementary and secondary curriculum content related to omitted rules. As a result, it is difficult to find explicit evidence to answer that question 'What is the calculation of the $48{\div}2(9+3)$?'. In order to inquire the notation fundamentally, we checked the characteristics on prefix, infix and postfix, and looked into the advantages and disadvantages on infix. At the same time we illuminated the development of mathematical notation from the point of view of skipping the parenthesis. From this investigation, we could check that this interpretation was smooth in the point of view that skipping the parentheses are the image of the function. Through this we proposed some teaching methods including 'teaching mathematical notation based on historic genetic principle', 'reproduction of efforts to overcome the disadvantages of infix and understand the context to choose infix', 'finding the omitted parentheses to identify the fundamental formula' and 'specifying the viewpoint that skipping the multiplication notation can be considered as an image of the function'.

• Korean Journal of Environmental Biology
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• v.35 no.3
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• pp.273-288
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• 2017

An investigation focusing on the unrecorded and taxonomically undescribed indigenous has been done since 2006. Samples were collected from various sites in the coastal and offshore waters of Korea as well as around Jeju Island. Since 2008, 16 unrecorded species belonging to the family Gymnodiniaceae have been found. The species were as follows: Amphidinium thermaeum (2015), Cochlodinium convolutum (2015), C. strangulatum (2015), Gymnodinium abbreviatum (valid name: G. gracile), G. arenicola (2015), G. gracile (2015), G. dorsalisulcum (2015), G. microreticulatum (2014), G. micrum (2016) (valid name: Karlodinium micrum), G. pyrenoidosum (2016), G. simplex (2015), G. veneficum (2016) (valid name: Karlodinium veneficum), Gyrodinium aureum (2015), G. fusiforme (2015), G. dominans (2014), and Nusuttodinium latum (2016) (valid name: Amphidinium latum). (The numbers in parentheses refer to the year that the species was found). These species were newly recorded in Korean waters in this study.

• Proceedings of the Korean Society for Language and Information Conference
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• 2007.11a
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• pp.358-364
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• 2007

Syntax parsers can benefit from speakers' intuition about constituent structures indicated in the input string in the form of parentheses. Focusing on languages like Korean, whose orthographic convention requires more than one word to be written without spaces, we describe an algorithm for passing the bracketing information across the tagger to the probabilistic CFG parser, together with one for heightening (or penalizing, as the case may be) probabilities of putative constituents as they are suggested by the parser. It is shown that two or three constituents marked in the input suffice to guide the parser to the correct parse as the most likely one, even with sentences that are considered long.

• The Bulletin of The Korean Astronomical Society
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• v.40 no.2
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• pp.31.1-31.1
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• 2015

For probing magnetic fields in the universe, rotation measure (RM) have been often used. RM allows us to obtain the information of integrated (or averaged) magnetic fields along a line of sight (LOS). On the other hand, the new technique so-called Faraday tomography will be used in practical in the near future thanks to the wide-band polarimetry by Square kilometre Array and/or its precursors. The technique allows us to obtain so-called Faraday dispersion function (FDF). FDF is the distribution function of magnetic fields and polarized sources along a LOS. Because of this fact, it is expected that the studies of magnetic fields associated with various astronomical objects will progress dramatically. Since FDF also includes information of cosmic-rays and thermal electrons, the investigation of FDF may advance the studies of dynamics of external galaxies and/or the star formation activities. We have studied the potentials of Faraday tomography such as a tool to probe the intergalactic magnetic field associated with filaments of galaxies in the large scale structure. We have also studied the realistic FDFs of galaxies for understanding global magnetic field, cosmic-ray and thermal electrons of external galaxies. In the talk, we briefly introduce the Faraday tomography technique and report the results related to the Faraday tomography.

• Bulletin of the Korean Chemical Society
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• v.28 no.3
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• pp.386-390
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• 2007

By use of a simple two-point extrapolation scheme estimating the correlation energies of the molecules along with the basis sets specifically targeted for extrapolation, we have shown that the MP2 basis set limit binding energies of large hydrogen-bonded complexes can be accurately predicted with relatively small amount of computational cost. The basis sets employed for computation and extrapolation consist of the smallest correlation consistent basis set cc-pVDZ and another basis set made of the cc-pVDZ set plus highest angular momentum polarization functions from the cc-pVTZ set, both of which were then augmented by diffuse functions centered on the heavy atoms except hydrogen in the complex. The correlation energy extrapolation formula takes the (X+1)-3 form with X corresponding to 2.0 for the cc-pVDZ set and 2.3 for the other basis set. The estimated MP2 basis set limit binding energies for water hexamer, hydrogen fluoride pentamer, alaninewater, phenol-water, and guanine-cytosine base pair complexes of nucleic acid by this method are 45.2(45.9), 36.1(37.5), 10.9(10.7), 7.1(6.9), and 27.6(27.7) kcal/mol, respectively, with the values in parentheses representing the reference basis set limit values. A comparison with the DFT results by B3LYP method clearly manifests the effectiveness and accuracy of this method in the study of large hydrogen-bonded complexes.

• Current Photovoltaic Research
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• v.1 no.1
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• pp.52-58
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• 2013

Two different window-structured $CuInGaSe_2$(CIGS) solar cells, i.e., CIGS/thin-CdS/ZnO:B(sample A) and CIGS/very thin-CdS/Zn(S/O)/ZnO:B(sample B), were prepared, and the diffusivity of Zn, Cd, S, and B atoms, respectively, in the CIGS, ZnO or Zn(S/O) layer was estimated by a theoretical fit to experimental secondary ion mass spectrometer data. Diffusivities of Zn, Cd, S, and B atoms in CIGS were $2.0{\times}10^{-13}(1.5{\times}10^{-13})$, $4.6{\times}10^{-13}(4.4{\times}10^{-13})$, $1.6{\times}10^{-13}(1.8{\times}10^{-13})$, and $1.2{\times}10^{-12}cm^2/s$ at 423K, respectively, where the values in parentheses were obtained from sample B and the others from sample A. The diffusivity of the B atom in a Zn(S/O) of sample B was $2.1{\times}10^{-14}cm^2/sec$. Moreover, the diffusivities of Cd and S atoms diffusing back into ZnO(sample A) or Zn(S/O)(sample A) layers were extremely low at 423K, and the estimated diffusion coefficients were $2.2{\times}10^{-15}cm^2/s$ for Cd and $3.0{\times}10^{-15}cm^2/s$ for S.

• Management & Information Systems Review
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• v.7
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• pp.427-450
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• 2001

This research suggests the estimation methodology of Logistics. This paper elucidates the main problems associated with estimation in the regression model. We review the methods for estimating the parameters in the model and introduce a modified procedure in which all models are fitted and combined to construct a combination of estimates. The resulting estimators are found to be as efficient as the maximum likelihood (ML) estimators in various cases. Our method requires more computations but has an advantage for large data sets. Also, it enables to detect particular features in the data structure. Examples of real data are used to illustrate the properties of the estimators. The backgrounds of estimation of logistic regression model is the increasing logistic environment importance today. In the first phase, we conduct an exploratory study to discuss 9 independent variables. In the second phase, we try to find the fittest logistic regression model. In the third phase, we calculate the logistic estimation using logistic regression model. The parameters of logistic regression model were estimated using ordinary least squares regression. The standard assumptions of OLS estimation were tested. The calculated value of the F-statistics for the logistic regression model is significant at the 5% level. The logistic regression model also explains a significant amount of variance in the dependent variable. The parameter estimates of the logistic regression model with t-statistics in parentheses are presented in Table. The object of this paper is to find the best logistic regression model to estimate the comparative accurate logistics.