• Journal of the Chungcheong Mathematical Society
• /
• v.28 no.4
• /
• pp.575-582
• /
• 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 Medicinal Crop Science
• /
• v.20 no.6
• /
• pp.493-499
• /
• 2012

We have established adventitious root culture systems of Codonopsis lanceolata, Codonopsis pilosula and Codonopsis ussuriensis. Root segments of C. lanceolata were the best explants for induction of adventitious roots and the number of adventitious root for explant was highest on solid medium with $0.5mg/{\ell}$ NAA and produced $18.8{\pm}1.9$ roots per explant. Root segments of C. pilosula were the best explants for induction of adventitious roots and the number of adventitious root for explant was highest on solid medium with $1.0mg/{\ell}$ NAA and produced $8.5{\pm}1.8$ roots per explant. Leaf segments of C. ussuriensis were the best explants for induction of adventitious roots and the number of adventitious root for explant was highest on solid medium with $0.5mg/{\ell}$ NAA and produced $7.8{\pm}0.4$ roots per explant. In liquid culture, the best production of adventitious root (fresh weight) was obtained in 1/2 MS medium with $1.0mg/{\ell}$ NAA. This study demonstrated for the first time to produce adventitious roots in C. pilosula and C. ussuriensis.

• Korean Journal of Mathematics
• /
• v.30 no.2
• /
• pp.187-198
• /
• 2022

In this paper, we introduce a new concept in number theory called ζ-factors associated with a positive integer n. Applications of ζ-factors are in the arrangement of the defining polynomials in cyclic n-roots algebraic system and are thoroughly investigated. More precisely, ζ-factors arise in the proofs of vanishing theorems in regard to associated prime factors of the system. Exact computations through concrete examples of positive dimensions for n = 16, 18 support the results.

• The Pure and Applied Mathematics
• /
• v.13 no.1 s.31
• /
• pp.11-18
• /
• 2006

Let f : (X, A) ${\rightarrow}$ (Y, B) be a map of pairs of compact polyhedra. A surplus Nielsen root number $SN(f;X\;{\backslash}\;A,\;c)$ is defined which is lower bound for the number of roots on X \ A for all maps in the homotopy class of f. It is shown that for many pairs this lower bound is the best possible one, as $SN(f;X\;{\backslash}\;A,\;c)$ can be realized without by-passing condition.

• Plant Biotechnology Reports
• /
• v.5 no.3
• /
• pp.255-263
• /
• 2011

Codonopsis lanceolata (Campanulaceae) has been used in traditional medicines, as its roots contain several kinds of triterpenoid saponin with high medicinal values. In this work, we induced transgenic hairy roots of C. lanceolata and analyzed triterpenoid saponins from the hairy roots and hairy root-derived transgenic plants. Hairy roots were obtained from leaf explants by the transformation of Agrobacterium rhizogenes R1000. Transgenic hairy root lines were confirmed by the transcriptional activities of rolA, B, C, and D genes by RT-PCR. Transgenic root lines actively proliferated on hormone-free medium but not in nontransformed roots. Hairy roots contained richer triterpenoids (lancemaside A, foetidissimoside A, and aster saponin Hb) than nontransformed roots. Transgenic plants were regenerated from the hairy roots via somatic embryogenesis. They showed phenotypic alterations such as shortened shoots and an increased number of axillary buds and adventitious roots. The transgenic plants also contained higher triterpenoid levels than wild-type plants. These results suggest that hairy roots and transgenic plants of C. lanceolata could be used as medicinal materials for the production of triterpene saponins.

• KOREAN JOURNAL OF CROP SCIENCE
• /
• v.28 no.4
• /
• pp.458-461
• /
• 1983

The field experiment was carried out in order to find out the factors affecting lodging of Korean soybean varieties. Among the variety groups which were grown under the same cultural conditions, 25 Korean local varieties were selected by 5 lodging degree, and investigated their root characteristics in relation to lodging. The results obtained were as follows; There were no significant relationships between root dry weight, number of primary roots, number of adventitious roots and lodging. There also were no clear relationships between shoot/root weight ratio and lodging. However, it was recognized that the shoot weight/number of thick roots was highly related to soybean lodging. The susceptible varieties to lodging showed less shoot/thick root ratio.

• Journal of Ginseng Research
• /
• v.8 no.2
• /
• 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.

• Communications of the Korean Mathematical Society
• /
• v.12 no.3
• /
• pp.701-707
• /
• 1997

In [8], we introduce the relative root Nielsen number N(f;X, A, c) for maps of pairs of spaces $f : (X, A) \to (Y, B)$. From it, we obtain some immediate consequences of the definition and illustrate it by some examples. We consider the question whether there exists a map $g : (X, A) \to (Y, B)$ homotopic to a given map $f : (X, A) \to (Y, B)$ which has precisely N(f;X, A, c) roots, that is, the minimum theorem for N(f;X, A, c).

• Journal of the Korean Statistical Society
• /
• v.28 no.1
• /
• pp.45-55
• /
• 1999

Knowing the number of unit roots is important in the analysis of k-dimensional multivariate autoregressive process. In this paper we suggest simple multiple unit roots test statistics based on least squares estimator for the multivariate AR(1) process in which some eigenvalues are one and the rest are less than one in magnitude. The empirical distributions are tabulated for suggested test statistics. We have small Monte-Calro studies to compare the powers of the test statistics suggested by Johansen(1988) and in this paper.

• Proceedings of the Ginseng society Conference
• /
• 2002.10a
• /
• pp.456-466
• /
• 2002

Wild ginseng production is increasing due to forest recovery for last 30 years. Total number of Symmani (traditional mountain ginseng digger) was 558 in 2001. Provincial distribution of Symmani in 2001 was highest in Kangwon $(32\%),$ next in Choongbook $(21\%)$ and least in Jeonnam $(0.7\%)$ and Kyoungnam $(0.9\%).$ Age distribution of Symmani was $33\%\;for\;fourties,\;32\%$ for fifties and $20\%$ for sixties. There were 8 persons in eighties. Symmanies are still keeping traditional ritual for mountain god serving clothes of colored ribbons and foods. Increased production induced open market system from underground dealing of mountain ginseng. Korea Mountain Ginseng Association established mountain ginseng assessment committee with professional Symmanies in 2001. From September to November in 2001, 987 roots were requested for quality assessment to the committee and 476 roots $(48\%)$ were passed and graded and others were rejected. Highest frequency of rejection was foreign origin. Pass rate was highest $(74\%)$ in Choongnam suggesting best place for quality. Number of collected roots in each province was positively correlated (p=0.05) with number of Symmanies. There are 3 quality groups of mountain ginseng, Heaven (pure natural), Earth (from seeding of wild ginseng) and Man (from seeding or seedling of wild ginseng with slight environmental modification). The relationship between price and age was polynomial in high quality root, Heaven, Earth and seed long head of Man group, and linear in low quality group, seedling long head of Man. The best one in 2001 was 26 g, 124 years old and sold with 109 million won. Quality criteria are age, shape, weight, color and healthy outlook. Fine roots are criteria for health status of roots and taproot is criteria for efficacy and called as medicine barrel. The implication is that ginsenosides have rarely been experienced for efficacy. The quality criteria of cultivated ginseng were originated from those of mountain ginseng. It is unique for mountain ginseng that only fresh one can be on market. Since quality criteria of mountain ginseng must be based on the efficacy experience it is well expected that present criteria might almost be established at the age of Shinnong Materia Medica.