• Journal of the Korean Mathematical Society
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• v.52 no.1
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• pp.209-224
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• 2015

Computing square, cube and n-th roots in general, in finite fields, are important computational problems with significant applications to cryptography. One interesting approach to computational problems is by using polynomial representations. Agou, Del$\acute{e}$eglise and Nicolas proved results concerning the lower bounds for the length of polynomials representing square roots modulo a prime p. We generalize the results by considering n-th roots over finite fields for arbitrary n > 2.

• Bulletin of the Korean Mathematical Society
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• v.42 no.3
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• pp.571-577
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• 2005

In this paper we prove that if T is a k-th root of a p­hyponormal operator when T is compact or T$^{n}$ is normal for some integer n > k, then T is (generalized) scalar, and that if T is a k-th root of a semi-hyponormal operator and have the property $\sigma$(T) is contained in an angle < 2$\pi$/k with vertex in the origin, then T is subscalar.

• Communications of the Korean Mathematical Society
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• v.32 no.1
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• pp.1-6
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• 2017

In this paper, the fundamental theorem of Galois Theory is used to generalize cyclotomic polynomials and construct irreducible polynomials associated with the n-th primitive roots of unity.

• Communications of the Korean Mathematical Society
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• v.18 no.4
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• pp.755-765
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• 2003

Krylov-Bogoliubov-Mitropolskii method has been extended to obtain asymptotic solution of n-th order nonlinear differential system characterized by certain non-oscillatory processes. The damping force is considered in such a manner that one of the characteristic roots of the linear system becomes small and others are in integral multiple. The method is illustrated by an example. The solutions for different initial conditions show a good agreement with those obtained by numerical method.

• Korean Journal of Soil Science and Fertilizer
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• v.22 no.3
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• pp.221-227
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• 1989

This study was conducted to understand the influence of soil compaction on root growth and nutrient uptake characteristics of the soybean roots grown in two soils with different texture. Tap root elongation was measured on young seedling grown in cores compacted to different bulk densities of 1.2, 1.4 and $1.6/cm^3$ with different soil water retention in laboratory. The soil used were Samgag sandy loam and Baegsan loam soils. The wet and dry weight, total length, average radius and total surface area of roots were measured on soybean plants grown in 1/5000 a Wagner pots compacted to different bulk density of 1.2 and $1.4g/cm^3$. The nutrient uptake of soybean shoot was measured and evaluated with the unit surface area of roots at the 7th, 17th and 27th days after germination. The results were as follows: 1. The tap root elongation rate was faster in the loam soil with low bulk density than in the sandy loam soil with high bulk density. The elongation rates were remarkedly decreased when soil water was lower than the retention of 4 bars in loam soil and that of 1 bars in sandy loam soil. 2. Tap root elongation rate sharply decreased as increased soil strength higher than $2kgf/cm^2$ measured by ELE penetrometer showing curvillinear regression. However, it was low regardless of soil strength when soil water retention was 10 bars in sandy loam soil. 3. From the pot experiment, the total length of roots were longer in loam soil than in sandy loam soil and was longer in the soils with lower bulk density. The average radius of fine roots grown in sandy loam soil was larger than that grown in loam soil. The total surface area of roots was greater in the loam soil with low bulk density than in the sandy loam soil with high bulk density as the total length of roots. 4. The amounts of nutrient uptake by soybean shoots were greater in loam soil primarily due to more production of dry matter than in sandy loam soil. The nitrogen influx rates through the unit surface area were 597 to $753nmoles/day-cm^2$ in loam soil and 222 to $365nmoles/day\;cm^2$ in sandy loam soilshowing higher value in higher bulk density. The potasium influx rates were 99 to $175nmoles/day-cm^2$, and those of phosphate were 26 to $46nmoles/day\;cm^2$. Those of Ca and Mg were 175 to 246 and 163 to $205nmoles/day\;cm^2$. The difference in nutrient influx rates between bulk densities of these elements were lower than that of nitrogen.

• Journal of the Korean Society of Costume
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• v.66 no.3
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• pp.51-74
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• 2016

The purpose of this research is to analyze the relationship between the inspirations and designs of Dries Van Noten's Men's collections from 1992 S/S to 2014 F/W. The specific questions of this research are as follows: what are the important design features of the Dries Van Noten's Mixed collections from 1985 S/S to 1991 F/W? What are 'the roots of inspiration' of Dries Van Noten's Men's collections from 1992 S/S to 2014 F/W, and what are the aesthetic criterions of Noten's works? How can the roots of inspiration be categorized and what are its features? How did these roots of inspiration influence the Noten's designs? The paper is a reference of how ideas turn to practical works, and what the relationship between inspiration and design. Researchers utilized a qualitative research method providing a systematic review of the previous studies by analyzing the content. To conclude, roots of inspiration of Dries Van Noten's Men's collections can be classified into nine categories: 'Interpretation', 'Ethnic', 'Multiple Contents', 'Subculture', 'Region', 'Artist', 'Fashion Item', 'Sports', and 'New Trend'. Through the roots of inspiration, sensibility of Belgium, England, Italy, French chic, inquiry of ethnic, artist, sports, the neuter gender image, 1950's, 1960's & 1970's trend & style of street fashion, elegance for men, romanticism, zoot, rock 'n' roll, teddy boy, mods, punk, new romantic and 19th century's Anglo-Saxon style are extracted and applied to the designs through cross impact. The identity of Dries Van Noten's Men's collections are cross culture contents and harmony of the old generation and new generation.

• Korean Journal of Organic Agriculture
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• v.24 no.1
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• pp.123-130
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• 2016

The mortality was tested to organic control materials to the E. maslovskii adults by the dipping method in laboratory. As the result, in 2014, the extracts of Neem I was not shown control effect by 10.2% control efficacy to E. maslovskii adults in laboratory. The extract of Sophora flavescens roots was shown 84.7% mortality. And other 5 materials were shown 100% insecticidal activity to the adults in laboratory. I n 2015, Plant extract+pyrolignous acid Matrine 0.45% and Plant extract Matrine 0.5+paraffin oil 8% were shown 100% and 94.6% control efficacy, respectively. In the Japanese apricot orchards, the fruit damage rate was low on spray at 21th April in Daap, Gwangyang city, and 8th May Hwangjeon, Suncheon city in Jeonnam province in 2014. The fruit damage rate differed from spray timing and materials, but it was considered that the control of E. maslovskii should be in late April to early May. Otherwise, in 2015, the fruit damage was significantly low in late April spray in Daap, but no significant was in between one spray at 21th, 27th April and 2 spray that days. Meanwhile, the control effect was better 2 times spray of the days in Hwangjeon, Suncheon city in Jeonnam province. Therefore, in organic Japanese apricot, the use of insecticidal materials recommended to control over twice spay in from meddle to late April.

• Journal of Practical Agriculture & Fisheries Research
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• v.11 no.1
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• pp.95-101
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• 2009

This study was carried out to investigate the optimum condition of germination temperature and cutting condition in Thymus quinquecstaus. A germination rate was superior at light condition and 20℃ in temperature(rooting rates : 89%) Rooting rates by cutting times were the highest in 20th May(rooting rates : 94%) The best Cutting media for rooting rates and member of roots observed peatmoss (50%)+perlite(50%) among the Cutting media. The rooting rates by concentration of growth hormone were the highest(96%) at IBA 100·mg/l among the treatment.

• Communications for Statistical Applications and Methods
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• v.14 no.3
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• pp.483-495
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• 2007

In a general fractional factorial design, the n-levels of a factor are coded by the $n^{th}$ roots of the unity. Pistone and Rogantin (2007) gave a full generalization to mixed-level designs of the theory of the polynomial indicator function using this device. This article discusses the optimal blocking scheme for nonregular designs. According to hierarchical principle, the minimum aberration (MA) has been used as an important criterion for selecting blocked regular fractional factorial designs. MA criterion is mainly based on the defining contrast groups, which only exist for regular designs but not for nonregular designs. Recently, Cheng et al. (2004) adapted the generalized (G)-MA criterion discussed by Tang and Deng (1999) in studying $2^p$ optimal blocking scheme for nonregular factorial designs. The approach is based on the method of replacement by assigning $2^p$ blocks the distinct level combinations in the column with different blocks. However, when blocking level is not a power of two, we have no clue yet in any sense. As an example, suppose we experiment during 3 days for 12-run Plackett-Burman design. How can we arrange the 12-runs into the three blocks? To solve the problem, we apply G-MA criterion to nonregular mixed-level blocked scheme via the mixed-level indicator function and give an answer for the question.

• Journal of Physiology & Pathology in Korean Medicine
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• v.33 no.6
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• pp.363-369
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• 2019

This paper aims to assess the effect of herbal extract mixture, Ahn Tonic, on hair growth and examine the stability of this percutaneous hair growth ointment. The hair on the back of the mice C57b1/6N was removed, and 1% of the TXN(testosterone) was then applied for a week to prevent the hair growth. The experimental group was then treated with Ahn Tonic, 0.2 mL per day. The degree of newly grown hair was observed with a vernier caliper. We also measured the proportion of the newly growing hair section to the entire shaved section in the 4th week and 8th week by distinguishing the section turning black from the shaved area. To observe the effect of the test chemical product on hair follicles and hair roots, the biopsy was executed between week 4 and week 8. Gene expressions, which operate as a factor for growing hair in the skin tissues extracted from each experimental animals, were also observed through a real-time PCR gene amplification method. The results showed that the Ahn tonic group had statistically significant hair restoring effect compared to the control group in terms of microscopy, biopsy, and gene expressions. Ahn Tonic is considered to have an impact on the hair growth.