• 대한수학회논문집
• /
• 제38권3호
• /
• pp.755-772
• /
• 2023

Our aim is to establish certain image formulas of the (p, q)-extended modified Bessel function of the second kind M_ν,p,q(z) by employing the Marichev-Saigo-Maeda fractional calculus (integral and differential) operators including their composition formulas and using certain integral transforms involving (p, q)-extended modified Bessel function of the second kind M_ν,p,q(z). Corresponding assertions for the Saigo's, Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, q)-extended modified Bessel function of the second kind M_ν,p,q(z) and Fox-Wright function _rΨ_s(z).

• 한국조경학회지
• /
• 제20권1호
• /
• pp.80-94
• /
• 1992

To inspect the changing of the forest soil and plants community structrure by air plooutand & acid rain during from September to November in 1990, the smapling sites were selected in the Piwon, Namsan and Kwangnung forest. In sites, plots were set up in Q. aliena forest at Piwon, Quercus mongolica and Pinus densiflora forest at Namsan and Q. mongolica and Pinus densiflora forest at Kwangnung. To obtain the individual number of trees, number of species, importance values and species diversity, using the Curtis & McIntosh methods. The results are following that; 1) In Pinus densiflora community, it was almost dominated by Q. spp. in the canopy layer and P. densiflora and Carpinus laxiflora through the subtree to shrub layer at Kwangnung. It wassaid that C. laxiflora is the climax species in moddle temperature zone. On the contrary, in Namsan forest, there is no appearance thesamplings of P. densiflora & C. laxiflora, but Styrax japonica and Stephanandra incisa that are acid-tolerance species are dominant ones. On the other hand, in Q. spp. community, Q. spp. and C. laxiflora are dominant ones. On the other hand, in Q. spp. community, Q. spp. and C. laxiflora are dominant species through all layer, and in addition C. cordata somewhat appear at Kwangnung. But at Namsan and Piwon forest, Q. mongolica & Q. aliena that were dominant species in canopy layer disappeared in the subtreeand shrub layer, and C. laxiflora and Corunus cordata absolutely disappeared. It were similarly dominated by Robinia pseudo-acacia, Styrax japonica, Sorbus alnifolia, Acer pseudo-sieboldianum, Rhododendrn mucronulatum and so on at Namsn and Piwon forest. In the light of these facts, it found out that disclimax was similar between Namsan and Piwon forest. 2) Species diversity and maximum species diversity were decreased in Kwangnumg, Namsan, Piwon in order. It was xpected that vegetational community was affected by environmental pollutant. 3) As the vegetational community structure analyses, using DCA technique among the ordination, ecological successional series are stopped to Q. spp. from P. densiflora at Namsan and Piwon, but that of Kwangnung is on the way that P. densiflora, Q. alena, C. laxiflora. It was obvi ously different from Namsan and Piwon. 4) In Q. spp. & P. densiflora community, the number of woody plants inNamsan & Piwon is much less than that of Kwangnung through all Layer. Especially, Piwon shown very severe difference. Through all community, the number of individuals of Piwon and Namsan are less than that of Kwangnung. Specially, that of the shrub layer is obvious. 5) In the growth rate of trees, it found out that all sites showed the growth decline phenomena. Especially, since in 1975, there have been the micro disclimax phenomena in Q. community of Kwangnung. 6) In the Q. community, soil acidity of Namsan & Piwon measured 4.57, 4.40 respectively. It was very strong acidity and far lower than that of Kwangnung. Also the content amount of Mg++ in Namsan & Piwon forest were still lower than Kwangnung.

• 대한기계학회논문집A
• /
• 제35권3호
• /
• pp.251-257
• /
• 2011

본 연구는 차세대 원자로의 후보 재료인 수정 9Cr-1Mo 강에 대한 크리프 균열 성장률 법칙, da/dt=B$(C^*)^q$의 파라메터 B와 q에 대한 통계적 성질에 대하여 취급하였다. 본 해석에 이용된 크리프 균열 성장 데이터는 $600^{\circ}C$의 일정 온도에서 5000N의 동일 하중하의 1/2 CT 시험편에 대하여 크리프 균열 성장 실험을 수행하였다. 크리프 균열 성장 거동은 크리프 균열 성장률 da/dt 와 파괴역학 파라메터 $C^*$와의 실험적 관계식으로부터 통계적으로 해석하였다. 각각의 시험편에 대한 파라메터 B와 q는 최소자승법에 의하여 결정하였다. B와 q에 대한 확률분포함수를 정규분포, 대수정규분포 그리고 와이블분포에 대하여 조사하였다. 본 연구에 의하면, B와 q의 확률분포함수는 대수정규분포와 와이블분포에 비교적 잘 따름을 알았다. 또한 이들 사이에는 강한 양의 선형적인 상관이 있음을 알았다.

• 한국육종학회지
• /
• 제41권3호
• /
• pp.236-243
• /
• 2009

벼멸구 저항성 유전자의 mapping, 벼멸구 저항성 관련 QTL 분석, 주요 농업형질과 벼멸구 저항성과의 관계 분석 등에 관한 연구를 수행 하여 얻은 결과는 다음과 같다. 벼멸구 저항성을 가진 통일형 벼인 '삼강'과 자포니카형 벼인 '낙동'을 교배하여 양성된 $F_1$의 약을 배양하여 육성된 120 DH 계통을 유전자 지도 작성을 위한 mapping 재료로 이용 하였다. Maker 검정에서 양친에 다양성을 나타낸 SSR 73, STS 89개 등 총 162개의 marker를 이용하여 전체 길이가 1,884 cM이고 평균 marker간 거리가 11.6 cM인 연관지도를 작성하였다. 유전자지도 작성에 이용된 120 DH 계통에 대한 벼멸구 저항성 정도를 조사하여 저항성 관련 QTL을 분석한 바, 3번, 6번, 7번, 8번 그리고 12번 염색체에서 1개씩 총 5개의 QTL을 확인하고 이들을 qBPR3, qBPR6, qBPR7, qBPR8, qBPR12로 명명하였다. 간장, 수장, 수수 및 출수일수에 대한 QTL을 분석하여, 총8개의 QTL이 7개의 염색체에 위치하는 것으로 확인되었다. 벼멸구 저항성과 주요 농업형질관련 QTL과의 연관관계를 분석한 바, 3번 염색체 상의 벼멸구 저항성 QTL(qBPR3)이 간장 및 수수 관련 QTL(qCL3, qNP6)과 연관되어 있었으며, 7번 염색체 상의 qBPR7은 분상질립 관련 QTL qPGC7.1과 qPWBP7.2과 그리고 8번 염색체상의 벼멸구 저항성 QTL 역시 간장관련 QTL(qCL8)과 연관되어 있는 것으로 나타났다.

• Kyungpook Mathematical Journal
• /
• 제47권3호
• /
• pp.357-361
• /
• 2007

A right R-module P is $c$-separative provided that $$P{\oplus}P{{c}\atop{\simeq_-}}P{\oplus}Q{\Longrightarrow}P{\simeq_-}Q$$ for any right R-module Q. We get, in this paper, two sufficient conditions under which a right module is $c$-separative. A ring R is a hereditary ring provided that every ideal of R is projective. As an application, we prove that every projective right R-module over a hereditary ring is $c$-separative.

• 대한수학회보
• /
• 제46권5호
• /
• pp.941-947
• /
• 2009

Let q be a power of 16. Every polynomial $P\in\mathbb{F}_q$[t] is a strict sum $P=A^2+A+B^3+C^3+D^3+E^3$. The values of A,B,C,D,E are effectively obtained from the coefficients of P. The proof uses the new result that every polynomial $Q\in\mathbb{F}_q$[t], satisfying the necessary condition that the constant term Q(0) has zero trace, has a strict and effective representation as: $Q=F^2+F+tG^2$. This improves for such q's and such Q's a result of Gallardo, Rahavandrainy, and Vaserstein that requires three polynomials F,G,H for the strict representation $Q=F^2$+F+GH. Observe that the latter representation may be considered as an analogue in characteristic 2 of the strict representation of a polynomial Q by three squares in odd characteristic.

• 대한수학회보
• /
• 제26권2호
• /
• pp.169-173
• /
• 1989

Let V={(x,y,z):f=z$^{n}$ -npz+(n-1)q=0 for n .geq. 3} be a compled analytic subvariety of a polydisc in $C^{3}$ where p=p(x,y) and q=q(x,y) are holomorphic near (x,y)=(0,0) and f is an irreducible Weierstrass polynomial in z of multiplicity n. Suppose that V has an isolated singular point at the origin. Recall that the z-discriminant of f is D(f)=c(p$^{n}$ -q$^{n-1}$) for some number c. Suppose that D(f) is square-free. then we prove that by Theorem 2.1 .mu.(p$^{n}$ -q$^{n-1}$)=.mu.(f)-(n-1)+n(n-2)I(p,q)+1 where .mu.(f), .mu. p$^{n}$ -q$^{n-1}$are the corresponding Milnor numbers of f, p$^{n}$ -q$^{n-1}$, respectively and I(p,q) is the intersection number of p and q at the origin. By one of applications suppose that W$_{t}$ ={(x,y,z):g$_{t}$ =z$^{n}$ -np$_{t}$ $^{n-1}$z+(n-1)q$_{t}$ $^{n-1}$=0} is a smooth family of complex analytic varieties near t=0 each of which has an isolated singularity at the origin, satisfying that the z-discriminant of g$_{t}$ , that is, D(g$_{t}$ ) is square-free. If .mu.(g$_{t}$ ) are constant near t=0, then we prove that the family of plane curves, D(g$_{t}$ ) are equisingular and also D(f$_{t}$ ) are equisingular near t=0 where f$_{t}$ =z$^{n}$ -np$_{t}$ z+(n-1)q$_{t}$ =0.}$ =0.

• Annals of Rehabilitation Medicine
• /
• 제42권6호
• /
• pp.884-887
• /
• 2018

We report a female proband carrying a de novo 5q34-q35.2 deletion breakpoint, and review the unique skeletal phenotype and possible genotype related to this mutation. The patient presented with a persistent head tilt and limited head rotation. Non-contrast-enhanced three-dimensional computed tomography of the cervical spine revealed several malformations including a bone cleft in the right pars interarticularis, a bone defect in both C5 lamina and the transverse foramen at C2-C3, agenesis of the right articular process of C5, bony fusion of C4-C5, and subluxation of the craniocervical joints. Several deformities of the cervical spine seen in this patient have not been associated with the 5q deletion. A review of 5q-related mutations suggests that abnormalities associated with MSX2 gene might cause cervical spine abnormalities.

• The Korean Journal of Ecology
• /
• 제16권3호
• /
• pp.353-364
• /
• 1993

To elucidate ecophysiological factors affecting nutural distribution of evergreen broad-leabed trees in Danohad National Marine Park, water potential, relative water content and photosynthetic activities of 4 species, Cammellia japonica, Machilus thunbergii, Castanopsis cuspidata var.sieboldii and Quercus acuta, were potential began to decrease from 07:00h to its minimum value at 13:00h for C. cuspidata var. sieboldii (-14.3bar) and Q. acuta (-19.4bar) at 16:00 h for M. thunbergii(-17.0bar) and at 19:00 h for C. japonica (-14.5bar), and these showed similar trends to relative water content. Photosynthetic activities of 4 species began to increase from 7:00 h and reached maximum values before their minimum values of water potential occureed. Optimum temperature renges of photosynthetic activities was $18~20^{\circ}C$ for C. japonica - M. thunbergii and $14~16^{\circ}C$ for C. cuspidata var. sieboldii Quercus acuta.Q.acuta had the highest light saturation point of $0.4mM/m^2/s$ and C. japonica the lowest of $0.15mM/m^2/s$. Water potential of 4 species subjected to water stress, began to decrease after 1st day of drought and after 21th day of drought, those of C. japonica, M. thunbergii, C. cuspidata var. sieboldii and Q. acuta decreased to species began to decrease after 7th day of drought and after 21th day, those of M. thunbergii, C. cuspidata var. sieboldii and Q. acuta were dropped to about 50% and C. japonica 83.5%. Photosynthetic activity of 4 specie began to decline in the order of C. cuspidata var. sieboldii, Q.acuta, C. japonica and M. thunbergii after 10th day of drought. These results suggest that the segregated disributions of C. japonica - M. thunbergii on vally positions and C. cuspidata var. sieboldii - Q. acuta on slopes were associated with different responses of water status and photosyntheties to their environment.

• 한국환경생태학회지
• /
• 제32권5호
• /
• pp.513-531
• /
• 2018

본 연구는 충남도립공원(덕산도립공원, 칠갑산도립공원, 대둔산도립공원)에 분포하고 있는 산림 식생을 비교 분석하기 위해 2006년부터 2016년까지 실시되었다. 본 연구 조사지의 식생을 식물사회학적 방법으로 분석한 결과, 덕산도립공원은 신갈나무군락, 소나무군락, 굴참나무군락 및 느티나무군락으로 구분되었고, 칠갑산도립공원은 굴참나무군락, 신갈나무군락, 소나무군락 및 서어나무군락으로 구분되었으며, 대둔산도립공원은 신갈나무군락, 굴참나무군락 졸참나무군락, 개서어나무군락, 서어나무군락, 소나무군락 및 상수리나무군락으로 구분되었다. 각 도립공원의 중요치는 덕산도립공원에서 신갈나무가 가장 높았으며(72.35), 다음으로 소나무(70.25), 굴참나무(53.11), 때죽나무(11.44), 산벚나무(11.17), 물푸레나무(10.41) 등의 순으로 나타났으며, 칠갑산도립공원에서는 굴참나무가(73.34) 가장 높았고 다음으로 소나무(58.71), 신갈나무(57.02), 서어나무(18.84), 졸참나무(13.48), 산벚나무(13.31) 등의 순으로 나타났다. 대둔산도립공원은 신갈나무가(57.03) 가장 높았고 다음으로 굴참나무(31.98), 졸참나무(31.53), 소나무(16.80), 개서어나무(16.50), 서어나무(16.07), 쪽동백나무(15.76), 당단풍나무(10.09) 등의 순으로 나타났다. 중요치가 높은 주요 분류군에 대한 흉고직경급을 분석한 결과 덕산도립공원에서는 신갈나무, 굴참나무가 정규분포형의 밀도를 나타내고 있어 당분간은 이들 수종의 우점 상태가 계속될 것으로 보인다. 칠갑산도립공원에서는 굴참나무, 신갈나무, 소나무가 정규분포형의 밀도를 나타내고 있어 당분간은 이들 수종의 우점 상태가 계속될 것으로 보이나 서어나무와, 졸참나무의 어린 개체 밀도가 높아 앞으로 이들의 세력이 확장될 것으로 판단된다. 대둔산도립공원은 신갈나무와 굴참나무는 어린개체의 밀도가 높은 역 J자형을 하고 있어 우점 상태가 계속될 것으로 보이며, 개서어나무와 소나무는 어린 개체와 큰 개체의 밀도가 낮고, 중간 개체의 밀도가 높아 정규분포형의 밀도를 나타내고 있는 것으로 보아 당분간은 이들 수종에 의한 우점 상태가 계속될 것으로 판단된다. 서어나무와 졸참나무는 중간이상의 개체와 비교해 볼 때 어린 개체의 밀도가 높아 앞으로 이들의 우점도가 증가할 것으로 예상된다.