• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제8권1호
• /
• pp.61-69
• /
• 2001

The purpose of this paper is to introduce the Nielsen root number for the complement N(f:X-A,c) which shares such properties with the Nielsen root number N(f;c) as lower bound and homotopy invariance.

• 한국멀티미디어학회논문지
• /
• 제22권9호
• /
• pp.1029-1035
• /
• 2019

In this paper, a tentative Kth order Goldschmidt floating point number Nth root algorithm for K order convergence rate in one iteration is proposed by applying Taylor series to the Goldschmidt square root algorithm. Using the proposed algorithm, Nth root and Nth inverse root can be computed from iterative multiplications without division. It also predicts the error of the algorithm iteration. It iterates until the predicted error becomes smaller than the specified value. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a floating point number Nth root unit.

• Journal of Ginseng Research
• /
• 제7권2호
• /
• pp.133-147
• /
• 1983

This study was carried out to obtain the basic information for the development of new ginseng varieties. The two variants (violet-stem variant and yellow-berry variant) of Korean ginseng (Panax ginseng C.A. Meyer) and American ginseng (Panax quinquefolium L.) of one to four-year were used for this study. All of the characteristics, such as leaf length, leaf width, petiol length, number of leaves per plant, number of leaflets per plants, stem diameter, stem length, number of stems per plant, root length, primary root length, root diameter, root weight were determined and correlations among them were estimated. The results obtained were summarized as follows. 1. Leaf length, petiol length, number of leaves per plant, and number of leaflets per plant of Panax ginseng, violet-stem variant and yellow-berry variant, were larger than those of Panax quinquefolium at all of the plant ages, while leaf width was wider in Panax quinquefolium. 2. The length of stem of Panax quinquefolium was shorter than that of Panax ginseng, and the frequency of multi-stem plants at 4-year-old ginseng was larger in violet-stem variant than in Panax quinquefolium and yellow-berry variant. 3. In the characteristics of ginseng root, the primary root length of Panax ginseng, violet-stem variant and yellow-berry variant, were less than that of Panax quinquefolium, while root weight, root diameter, and umber of secondary root related to yield were larger in Panax ginseng. 4. The root weight per plant related to the yield had positive and highly significant correlations with stem diameter, leaf length, leaf length, leaf width, number of compound leaves and leaflets in Panax ginseng and Panax quinguefolium. 5. The root weight related to the wield of ginseng had been influenced to stem diameter, leaf length, and leaf width directly, and number of compound leaves and leaflets indirectly. 6. The number, total area and activity of stomate per mm2 of Panax quinquefolium were more, larger and stronger than those of Panax ginseng.

• 대한임베디드공학회논문지
• /
• 제13권1호
• /
• pp.45-51
• /
• 2018

In this paper, a tentative Kth order Newton-Raphson's floating point number Nth root algorithm for K order convergence rate in one iteration is proposed by applying Taylor series to the Newton-Raphson root algorithm. Using the proposed algorithm, $F^{-1/N}$ and $F^{-(N-1)/N}$ can be computed from iterative multiplications without division. It also predicts the error of the algorithm iteration and iterates only until the predicted error becomes smaller than the specified value. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a floating point number Nth root unit.

• 대한수학회논문집
• /
• 제11권1호
• /
• pp.245-252
• /
• 1996

The relative Nielsen number N(f;X,A) was introduced in 1986. It gives us a better, and ideally sharp, lower bound for the minimum number MF[f;X,A] of fixed points in the homotopy class of the map $f;(X,A) \to (X,A)$. Similarly, we also can think about the Nielsen map $f:(X,A) \to (X,A)$. Similarly, we also can be think about the Nielsen root theory. In this paper, we introduce a relative root Nielsen number N(f;X,A,c) of $f:(X,A) \to (Y,B)$ and show some basic properties.

• 한국통신학회논문지
• /
• 제37A권12호
• /
• pp.1031-1037
• /
• 2012

Tonelli-Shanks 알고리즘을 변형한 새로운 알고리즘을 통해 효율적으로 제곱근 및 세제곱근을 찾을 수 있는 방법을 연구하였다. 이 논문에서 소개하는 제곱근을 찾는 알고리즘은 Number Field Sieve에 응용할 수 있다. 큰 합성수를 인수분해하는데 가장 효율적인 알고리즘으로 알려진 Number Field Sieve (NFS)는 법 N에 대하여 공통근을 갖는 두 다항식 선택한 후에, sieving, linear algebra, square root 단계를 차례대로 거친다. NFS의 마지막 단계에서는 수체(Number Field)상에서 제곱근을 구하는 과정이 필요한데 이를 유한체(Finite Field)상으로 내려서 계산한 후 CRT(Chinese Remainder Theorem)을 이용하여 수체 상에서의 제곱근으로 복원하는 과정에서 제안된 알고리즘이 사용될 수 있다.

• Journal of Ginseng Research
• /
• 제8권2호
• /
• pp.82-90
• /
• 1984

The Present study was undertaken to obtain the basic information on the development of multistem varieties of ginseng. The root weight per plant of multi-stem ginseng was hi燥or than that of single stem ginseng, and it was found that the greater variance due to the growing area was clear in the frequency of multistem plant. The broad heritability estimate for the number of steams was lower with the increase of the age of ginseng. The number of stems per plant was positively correlated with the number of branch roots, number of dormancy buds, and root weight. However, the root diameter was negatively correlated with the number of stems is per plant. Based on path analysis, the number of branch roots and dormancy buds showed the maximum indirect positive effects on the number of stems.

• 대한수학회논문집
• /
• 제15권2호
• /
• pp.357-370
• /
• 2000

In [6], Cheng-Ye You gave a condition equivalent to the Nielsen number product formula for fiber maps. And Jerzy Jezierski also gave a similar condition for coincidences of fiber maps. The main purpose of this paper is to find the condition for which holds the product formula for Nielsen root numbers N(f;a) = N(f;a) N(fb;a).

• Journal of Ginseng Research
• /
• 제31권3호
• /
• pp.142-146
• /
• 2007

본 시험은 경흔적수 측정법으로 수삼의 연근을 판별하기 위하여, 4, 5, 6년근의 경흔적수 발생실태를 조사하였다. 경흔적수를 이용한 연근판별법은 3년근 경흔적부터 식별가능하여 경흔적수에 2를 더하면 년근판별이 가능하였다. 년근별 경흔적수가 4년생에서 2개 발생율이 89.5%, 5년생에서 3개 발생율이 79.7% 6년생에서 4개 발생율이 46.3%로, 4, 5년근의 판별은 가능하였으나, 6년근 판별은 정확도가 낮아 보조자료로 활용함이 타당하였다. 경흔적을 이용한 연근 판별의 제한요인으로 뇌두파손과 다경발생임을 확인하였고, 뇌두파손율과 다경발생율은 년근이 증가함에 따라 증가되었다.

• Journal of Plant Biology
• /
• 제28권2호
• /
• pp.127-140
• /
• 1985

본 연구에서는 한국산 자작나무과 식물 5속 6종의 뿌리와 줄기의 이기목부를 비교해부학적으로 연구하였다. 뿌리와 줄기의 이기목부에 있어서 해부학적 특징은 도관 및 섬유의 직경은 줄기에 비해 뿌리에서 더 넓은 반면 단위면적당 도관 및 섬유의 분포수는 뿌리에서 더 적었으며, 도관요소의 길이는 줄기에서 더 긴 반면 섬유의 길이는 뿌리에서 더 길었다. 천공판상의 횡대수는 뿌리보다 줄기에서 더 많았고, 단위면적당 방사조직의 수는 뿌리에서 더 많았다.