• The Transactions of The Korean Institute of Electrical Engineers
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• v.67 no.2
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• pp.277-284
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• 2018

In this paper, a new numerical method of finding the roots of a nonlinear system is proposed, which extends the conventional fixed point iterative method by relaxing the constraints on it. The proposed method determines the real valued roots and expands the convergence region by relaxing the constraints on the conventional fixed point iterative method, which transforms the diverging root searching iterations into the converging iterations by employing the metric induced by the geometrical characteristics of a polynomial. A metric is set to measure the distance between a point of a real-valued function and its corresponding image point of its inverse function. The proposed scheme provides the convenience in finding not only the real roots of polynomials but also the roots of the nonlinear systems in the various application areas of science and engineering.

• Korean Journal of Mathematics
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• v.9 no.1
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• pp.67-73
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• 2001

For some equation related with exponential function, we seek roots and find the properties of the roots. By using the relation of the roots and attractors, we find a region in the basin of attraction of the attractor at infinity for Newton's method for solving given equation.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.4
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• pp.575-582
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• 2015

The Newton-Raphson method is used to compute the q-th roots of a p-adic number for a prime number q. The sufficient conditions for the convergence of this method are obtained. The speed of its convergence and the number of iterations to obtain a number of corrected digits in the approximation are calculated.

• Korean Journal of Pharmacognosy
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• v.48 no.1
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• pp.51-55
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• 2017

Aralia continentalis Kitagawa (Araliaceae), known as "Dokwhal" in Korea, has been widely used in traditional Korean medicine for analgesia, neuralgia, sweating, and rheumatism. The biological activity was estimated with methanol extracts of from cultivated roots and adventitious roots of A. continentalis. DPPH and ABTS activities showed the highest activity in methanol extract of adventitious roots at 175.6 and $279.7{\mu}g/mL$ ($RC_{50}$), respectively. Antioxidant activity of methanol extract of the adventitious roots was higher than other samples. In the antibacterial activity assay (paper disc method), the methanol extract of adventitious roots showed activity against S. aureus, S. epidermidis, B. subtilis, and S. enterica. This study demonstrated that adventitious roots of A. continentalis, which was produced for the first time in the roots of A. continentalis, can be used as a natural antioxidant and antibacterial agents.

• International Journal of Control, Automation, and Systems
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• v.1 no.1
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• pp.127-133
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• 2003

This paper proposes a new numerical method to check the stability of a general class of time delay systems. The proposed method checks whether there are characteristic roots whose real values are nonnegative through two steps. Firstly, rectangular bounds of characteristic roots whose real values are nonnegative are computed. Secondly, the existence of roots inside the bounds are checked using the numerical computation of argument principles. An adaptive discretization is proposed for the numerical computation of argument principles.

• Korean Journal of Medicinal Crop Science
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• v.22 no.1
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• pp.17-22
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• 2014

Ginsenosides of roots in Panax ginseng were analyzed by metabolic-targeting HPLC using the partial least squares discriminant analysis (PLS-DA) and compared depending on sowing methods between direct seeding and transplanting method. Score plots derived from PLS-DA could identify the sowing method between the direct seeding and transplanting method in P. ginseng roots. The ginsenoside compounds were assigned as Rg1, Re, Rf, Rg2, Rb1, Rc, Rb2, Rb3, and Rd. Contents of Re, Rf, Rg2, Rb1, Rc, Rb3, and Rd of main roots produced from the transplanting method were relatively higher than those of samples produced from direct seeding method. Also, contents of Rg1, Re, Rf, Rg2, Rb1, Rc, Rb2, Rb3, and Rd of lateral roots from the transplanted samples were relatively higher than those of samples produced from direct seeding method. Therefore, HPLC with PLS-DA analysis can be a straightforward tool for identification of ginsenosides in main or lateral roots of P. ginseng obtained from two different seeding methods between direct and transplanting methods.

• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.1
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• pp.179-189
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• 1991

Composite materials are generally treated as anisotropic or an orthotropic materials. Unlike isotropic materials, the orthotropic materials can divided three groups depending upon the relationship of the four material constants or depending upon the characteristic roots of orthotropic materials. In particular, the fundamental solutions of two dimensional BEM for composite materials (orthotropic or anisotropic material) generally have a singularity in the conventional method when the characteristic roots are equal. In consideration of this singularity in the conventional method when the characteristic roots are equal. In consideration of this singular problems, in this paper, the fundamental solutions of BEM are systematically analysed for orthotropic materials. And the stress and displacement fields for a crack in an orthotropic materials are singular when the characteristic roots of orthotropic materials are equal. Therefore, these fields for a crack in an orthotropic materials are analysed by the analogous method to isotropic materials when the characteristic roots are equal.

• Industrial Engineering and Management Systems
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• v.12 no.3
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• pp.281-287
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• 2013

In this paper, we introduce a roots method that uses the roots inside the unit circle of the associated characteristics equation to evaluate the steady-state system-length distribution at three epochs (pre-arrival, arbitrary, and post-departure) and sojourn-time distribution in GI/PH/1 queueing model. It is very important for an air base to inspect airplane oil because low-quality oil leads to drop or breakdown of an airplane. Since airplane oil inspection is composed of several inspection steps, it sometimes causes train congestion and delay of inventory replenishments. We analyzed interarrival time and inspection (service) time of oil supply from the actual data which is given from one of the ROKAF's (Republic of Korea Air Force) bases. We found that interarrival time of oil follows a normal distribution with a small deviation, and the service time follows phase-type distribution, which was first introduced by Neuts to deal with the shortfalls of exponential distributions. Finally, we applied the GI/PH/1 queueing model to the oil train congestion problem and analyzed the distributions of the number of customers (oil trains) in the queue and their mean sojourn-time using the roots method suggested by Chaudhry for the model GI/C-MSP/1.

• 한국생물공학회:학술대회논문집
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• 2001.11a
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• pp.151-162
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• 2001

Korea mountain ginseng known as oriental miracle drug is an important medicinal plant. The effect of mountain ginseng adventitious roots extract has been described. The valuable root of mountain ginseng contained several kinds of ginsenosides that have been confirmed to have many active functions for the human body. However, the study of mountain ginseng has a limit because the price of wild ginseng is very expensive and rare. The mountain ginseng adventitious roots were derived from mountain ginseng callus that were induced from mountain ginseng roots. Adventitious roots were separated from callus and grown in solid media(Murachige and stoog media). It was cultured in a 20L bioreactor. After culturing for 40days, adventitious roots were harvested. Afterwards the harvested mountain ginseng adventitious roots were dryed and extracted. We examined the effect on melanogenesis of mountain ginseng adventitious roots extrac. Here, we report the inhibitory effect of melanin biosynthesis on the adventitious roots extract of In vitro test. Also, we assessed the safety of adventitious roots extract. In vitro, cytotoxicity of adventitious roots extract was assessed in mouse fibroblast using two method: The neutral red uptake assay and the MTT assay. In vivo, the allergic and irritant were patch tested in 30 patients. Consequently, extract of mountain ginseng adventitious roots have inhibitory effect on melanin biosynnthesis in B-16 melanoma cell test, tyrosinase inhibitory test and DOPA auto-oxidation test. There were decreased 86%(0.5% concentration), 45%(1% concentration) and 61%(1% concentration), respectively

• KOREAN JOURNAL OF CROP SCIENCE
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• v.27 no.3
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• pp.193-197
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• 1982

1t is well known that the stem is filed with shoot units in the rice plant and each internode bears several crown roots. But it has not yet been ascertained that what controls the differential elongation of the crown roots in the same internode. Thereupon, author had been carried out this experiment to ascertain what controls the elongation of the crown roots in the same internode, especially on the conception of sink-source by leaf-cutting method. Generally, one shoot unit has two important sinks: one axillary bud (tiller) and several crown roots. When we removed the axillary bud, namely shoot unit has one sink: several crown roots, the crown roots formed near the midvein (source) were longer than the crown roots born near the axillary bud. And when the shoot unit has two sinks: one axillary bud and several crown roots, the other way, the crown roots formed at the prophyll unit of the tiller were longest, and the crown roots formed near the midvein were shortest and the crown roots born the near the tiller showed interim length. Juding from the present results, we can suppose that, when shoot unit has two sinks, axillary bud is superior sink than the crown roots. So that axillary bud grows faster than crown roots and tiller becomes a new source. Therefore the crown roots which formed at the new source and the crown roots born the near the new source are longer than others.