• 대한수학회지
• /
• 제52권1호
• /
• pp.209-224
• /
• 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.

• 대한수학회보
• /
• 제42권3호
• /
• pp.571-577
• /
• 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.

• 대한수학회논문집
• /
• 제32권1호
• /
• pp.1-6
• /
• 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.

• 대한수학회논문집
• /
• 제18권4호
• /
• pp.755-765
• /
• 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.

• 한국토양비료학회지
• /
• 제22권3호
• /
• pp.221-227
• /
• 1989

토성(土性)이 다른 두 토양(土壤)의 압밀상태(壓密狀態)가 대두(大豆)의 근생장특성(根生長特性)과 양분(養分)의 흡수기능처리(吸收機能差異)를 알아보기 위하여 용적밀도(容積密度)와 수분상태(水分狀態)를 달리한 Core에서의 유근신장(幼根伸長)과 용적밀도(容積密度)를 달리하여 pot재배(栽培)하였을 때 근(根)의 총(總)길이와 표면적(表面積), 근반경(根半徑) 및 양분(養分)의 흡수속도(吸收速度)를 조사(調査)한 결과(結果) 다음과 같다. 1. 대두(大豆)의 유근신장(幼根伸長)은 용적밀도(容積密度)가 낮을수록 빨랐으며 양토(壤土)에서는 토양수분(土壤水分) 상태(狀態)가 - 4bar 이하(以下)에서, 사양토(砂壤土)에서는 - 1bar 이하(以下)에서 급격(急激)히 감소(減少)하였다. 2. 유근(幼根)의 신장(伸長)은 ELE경도계(硬度計) 토양강도(土壤强度) 2.0 이상(以上)에서 급격(急激)히 감소(減少)하였으며, 근신장속도(根伸長速度)와 토양강도간(土壤强度間)에는 2차식(次式)으로 표시(表示)되었다. 그러나 사양토(砂壤土)에서 -10bar이하(以下)의 토양수분상태(土壤水分狀態)에서는 경도(硬度)에 관계(關係)없이 근신장속도(根伸長速度)가 낮았다. 3. pot재배시험(栽培試驗) 결과(結果), 뿌리의 총(總)길이는 용적밀도(容積密度)가 $1.2g/cm^3$인 양토(壤土)에서 가장 길었으며, $1.4g/cm^3$인 사양토(砂壤土)에서 가장 짧았다. 세근(細根)의 평균직경(平均直徑)은 사양토(砂壤土)에서 생육(生育)한 것이 양토(壤土)에서 생육(生育)한 것보다 굵었다. 뿌리의 총표면적(總表面積)은 용적밀도(容積密度)가 낮을수록 넓었으며, 양토(壤土)에서 사양토(砂壤土)보다 넓었다. 4. 양분(養分)의 흡수량(吸收量)은 건물생산(乾物生産)이 많은 양토(壤土)에서 많았다. 단위(單位)뿌리표면적당(表面積當) 흡수속도(吸收速度)는 질소(窒素)가 양토(壤土)에서 $597{\sim}753n\;mole/day{\cdot}cm^2$, 사양토(砂壤土)에서 $222{\sim}365n\;mole/day{\cdot}cm^2$이었으며, 용적밀도(容積密度)가 높은 토양(土壤)에서 높은 값을 보였다. K는 $99{\sim}175n\;mole/day{\cdot}cm^2$ P는 $26{\sim}46n\;mole/day{\cdot}cm^2$이었고, Ca와 Mg는 각각(各各) $175{\sim}230n\;mole/day{\cdot}cm^2$, $163{\sim}205n\;mole/day{\cdot}cm^2$의 범위(範圍)를 보였으며 토양간(土壤間)의 차이(差異)는 질소(窒素)보다 적은 경향(傾向)이었다.

• 복식
• /
• 제66권3호
• /
• pp.51-74
• /
• 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.

• 한국유기농업학회지
• /
• 제24권1호
• /
• pp.123-130
• /
• 2016

실내에서 복숭아씨살이좀벌 성충 침적법으로 유기농업자재에 의한 살충효과를 조사한 결과, 2014년에 'Extract of Sophora flavescens roots'가 84.7%의 살충률을 보였으며, 'Extracts of Neem II' 등 5개 자재는 100%의 살충률을 보였고, 2015년에 'Plant extract Matrine 0.5%+paraffin oil 8%'와 'Plant extract+pyrolignous acid Matrine 0.45%'가 각각 100, 94.6%의 보정살충율을 보였는데, 광양 다압 지역에서의 방제효과가 2014년과 2015년 4년 4월 21일에 살포시 방제효과가 좋아 실내와 포장에서 처리가 일치하는 경향을 보였고, Plant extract Matrine 0.5%+paraffin oil 8%'도 2015년에 실내와 포장에서의 살충효과가 유사한 양상을 보였다. 한편, 유기농업자재 살포시기에 따른 방제효과는 대체로 광양 다압 농가에서는 4월 하순 살포가, 순천 황전 농가에서는 4월 하순~5월 상순에 살포하는 것이 방제효과가 좋았는데, 광양 다압에서 2015년에 4월 21일과 27일 각각 1회씩 살포한 것과 2회 살포한 시험수에서 방제효과 차이는 없었으나 순전 황전 지역의 농가에서는 2회 살포한 시험수에서 방제 효과가 더 좋았다. 따라서, 유기재배 매실에서 살충효과가 있는 유기농업자재의 사용은 4월 중하순에 2회 이상 방제가 필요하고, 피해 양상이나 주변의 여건에 맞추어 방제전략을 수립하여야 할 것으로 생각된다.

• 현장농수산연구지
• /
• 제11권1호
• /
• pp.95-101
• /
• 2009

약용 및 관상식물로 개발가치가 있는 백리향의 종자발아 및 삽목조건 구명을 위한 몇 가지 실험결과는 아래와 같다. 종자발아는 20℃ 광 조건에서 89%의 발아율로 가장 좋았다. 적정 삽목시기는 5월20일이 94%의 발근율로 가장 양호했고, 삽목용토는 단용보다는 peatmoss(50%) + perlite(50%) 혼용처리에서 좋았으며 삽목전 삽수의 IBA 처리농도는 100mg/L 침지처리에서 96% 발근율을 나타내었다.

• Communications for Statistical Applications and Methods
• /
• 제14권3호
• /
• pp.483-495
• /
• 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.

• 동의생리병리학회지
• /
• 제33권6호
• /
• pp.363-369
• /
• 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.