• East Asian mathematical journal
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• 제35권3호
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• pp.285-288
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• 2019

Let $F_n$, $n{\in}{\mathbb{N}}$ be the n - th Fibonacci number, and let (p, q) be one of ordered pairs ($F_{n+2}$, $F_n$) or ($F_{n+1}$, $F_n$). Then we show that the multiplicative inverse of q mod p as well as that of p mod q are again Fibonacci numbers. For proof of our claim we make use of well-known Cassini, Catlan and dOcagne identities. As an application, we determine the number $N_{p,q}$ of nonzero term of a polynomial ${\Delta}_{p,q}(t)=\frac{(t^{pq}-1)(t-1)}{(t^p-1)(t^q-1)}$ through the Carlitz's formula.

• 한국농공학회지
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• 제44권6호
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• pp.106-114
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• 2002

In this study, the results of a series of consolidation test for undisturbed Ariake clay in Japan were analyzed by three methods, e-log p (e: void ratio, p: consolidation pressure), log e-log p and n-log p (n: porosity). Moreover, the characteristics of each analysis method were studied. For undisturbed Ariake clay, the log o-Log p and the n-log p relationships can be found as two groups of straight lines of different gradients, but both the elastic consolidation and plastic consolidation regions of e-log p relationship are expressed as a curve. In this paper, the porosity of consolidation yield n$\_$y/, consolidation yield stress p$\_$y/, and the gradient of the plastic consolidation region C$\_$p/ were represented by the log e-log p method, and n$\_$c/, P$\_$cn/ and C$\_$cn/ were represented by the n-log p method. The meaning and the relationships of each value were studied, and the interrelationships among compression indices i.e. C$\_$cn/, C$\_$p/ and C$\_$c/ are obtained from each analysis method as a function of initial porosity n$\_$0/.

• 대한수학회보
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• 제37권4호
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• pp.659-668
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• 2000

Let's $S_n(p,\alpha)(p,n\in\ N={1,2,3,\cdots},0\leq\ \alpha<1)$ denote tje c;ass pf fimctopms $f(z)=z^p+a_{p+z}z^{p+n}+\cdots$ which are $\rho$-valently starlike of order $\alpha$ in the unit disk.Some criteria for a function f(z) to be in the class $S_n(\rho,\alpha)$ are given.

• 대한수학회지
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• 제36권3호
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• pp.633-648
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• 1999

In this paper, for any two bipartite ordered sets P and Q, we define the convolution P * Q of P and Q. For dim(P)=s and dim(Q)=t, we prove that s+t-(U+V)-2 dim(P*Q) s+t-(U+V)+2, where U+V is the max-mn integer of the certain realizers. In particular, we also prove that dim(P)=n+k- {{{{ { n+k} over {3 } }}}} for 2 k n<2k and dim(Pn ,k)=n for n 2k, where Pn,k=Sn*Sk is the convolution of two standard ordered sets Sn and Sk.

• 융합신호처리학회논문지
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• 제11권1호
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• pp.47-52
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• 2010

암호화 시스템에서 대부분의 선형시스템은 쉽게 해석될 수 있기 때문에 비선형성은 매우 중요하다. 비선형 함수인 bent함수와 유사한 특성을 갖고 C.Bracken, Z.Zha 등에 의하여 제안된 APN(Almost Perfect Nonlinear) 함수를 이용하여 두 종류의 새로운 부호계열 발생 알고리즘을 제안하였다. 이를 이용하여 GF(2)상에서 발생된 부호계열의 자기상관함수 $R_{ii}(\tau)$, ${\tau}\;{\neq}\;0$와 상호상관함수 $R_{ik}(\tau)$의 값은 {-1, $-1-2^{n/2}$, $-1+2^{n/2}$}을 가진다. 이 개념을 확장한 GF(p), $p\;{\geq}\;3$상에서 발생된 비 이원부호계열의 자기상관함수 $R_{p,ii}(\tau}$, ${\tau}\;{\neq}\;0$와 상호상관함수 $R_{p,ik}(\tau)$의 값은 {$-1+p^{n-1}$, $-1-p^{(n-1)/2}+p^{n-1}$, $-1+p^{(n-1)/2}+p^{n-1}$} 로 역시 3종류 값을 가짐을 보였다. 이 분석결과로부터 발생된 부호계열의 상관함수가 Gold 부호계열과 유사한 특성을 가짐을 확인하였다.

• East Asian mathematical journal
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• 제5권1호
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• pp.1-23
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• 1989

Let $S_p*({\alpha},{\beta},{\mu})$ denote the class of functions $f(z)=z^p-{\sum}{\limit}^{\infty}_{n=1}a_{p+n}\;z^{p+n}(a_{p+n}{\geq}o,\;p{\in}N)$ analytic and p-valent in the unit disc $U=\{z:{\mid}z{\mid}<1\}$ and satisfy the condition $${\mid}\frac{\frac{zf'(z)}{f(z)}-p}{\mu\frac{zf'(z)}{f(z)}+p-(1+\mu)\alpha}\mid<\beta,\;z{\in}U$$, where $o{\leq}{\alpha} and $o\leq\mu\leq1$. Further f(z) is said to belong to the class $C_p*({\alpha},{\beta},{\mu})\;if\;zf'(z)/p{\in}S_p*(\alpha,\beta,\mu)$. In this paper we obtain for these classes sharp results concerning coefficient estimates, disortion theorems, closure theorems, Hadamard products and some distortion theorems for the fractional calculus.

• Journal of Plant Biotechnology
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• 제2권2호
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• pp.101-108
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• 2000

The liverwort Pellia borealis is a diploid, monoecious, allopolypliod species (n=18) that as it was postulated, originated after hybridization and duplication of chromosome sets of two cryptic species: Pellia epiphylta-species N (n=9) and Pellia epiphylla-species 5 (n=9). Our recent results have supported the allopolyploid origin of P.borealis. We have shown that the nuclear genome of P.borealis consists of two nuclear genomes: one derived from P.epiphylla-species N and the other from P.epiphylla-species 5. In this paper we show the origin of chloroplast and mitochondrial genomes in an allopolyploid species P.borealis. To our knowledge there is no information concerning the way of mitochondria and chloroplast inheritance in Brophyta. Using an allopolyploid species of p. borealis as a model species we have decided to look into chloroplast and mitochondrial genomes of P.borealis, P.epiphylla-species N and P.epiphylla-species S for nucleotide sequences that would allow us to differentiate between both cryptic species and to identify the origin of organelle genomes in the alloploid species. We have amplified and sequenced a chloroplast $tRNA^{Leu}$ gene (anticodon UAA) containing an intron that has shown to be highly variable in a nucleotide sequence and used for plant population genetics. Unfortunately these sequences were identical in all three liverwort species tested. The analysis of the nucleotide sequence of chloroplast, an intron containing $tRNA^{Gly}$ (anticodon UCC) genes, gave expected results: the intron nucleotide sequence was identical in the case of both P.borealis and P.epiphyllaspecies N, while the sequence obtained from P.epiphyllasperies S was different in several nucleotide positions. These results were confirmed by the nucleotide sequence of another chloroplast molecular marker the chloroplast, an intron-contaning $tRNA^{Lys}$ gene (anticodon UUU). We have also sequenced mitochondrial, an intron-containing $tRNA^{Ser}$ gene (anticodon GCU) in all three liverwort species. In this case we found that, as in the case of the chloroplast genome, P.borealis mitochondrial genome was inherited from P.epiphylla-species N. On the basis of our results we claim that both organelle genomes of P.borealis derived from P.epiphylla-species N.

• Asian-Australasian Journal of Animal Sciences
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• 제13권5호
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• pp.659-665
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• 2000

A nitrogen (N) balance trial was conducted to examine the effect of N deprivation on subsequent N retention, blood urea nitrogen (BUN) and IGF-I levels and the ratio of IGF binding protein (IGFBP)-3 to IGFBP-l and -2. Pigs in treatment (T) 1 were given diet A (2.39% N) and those in T2 and T3 were given diet B (1.31% N) and excreta were collected (period 1 (P1)). Pigs in T1 continued to receive diet A while diets for T2 and T3 were changed to diets A and C (2.74% N), respectively. The excreta were collected for two more periods (P2 and P3). During P1, pigs in T2 and T3 retained 50% less N (p<0.001) than those in T1. However, pigs provided T2 (p<0.01) and T3 (p<0.05) retained more N than those assigned to T1 during P2. Pigs in T3 tended to retain more (p=0.10) N than those receiving T2 for the same period. The BUN values were lower (p<0.05) for pigs assigned to T2 and T3 than T1 during P1 and P2. Both IGF-I and IGFBP ratios of pigs assigned to T1 were higher (p<0.05) than those given T2 and T3 during P1 but no differences were found during P2 and P3.

• 한국결정학회지
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• 제5권2호
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• pp.78-84
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• 1994

N-[1-(benzotriazol-1-yl)butyl]-P-nitroaniline ( BBN, C6H7N502) 의 분자 및 결정구조를 반-선 회절 법Abstract으로 연구하였다. 이 결정은 단사정계이고 공간군은 P21/n이다. 단위세포 길이는 a=17.542(2)A, b= 10.755(3)A, c=8.891(1)A 이며 a=b=r=90˚,b=104.58(1)˚,Z=4 이다.구조해석에 사용한 X-선은 CuKa선(λ:1.5418A )을 사용하였다. 분자구조는 직접법으로 풀었으며 최소자승법으로 정밀화하였 다. 최종 신뢰도 R값은 255개 파라메터, F≥4o(F)인 2248개의 회절반점에 대하여 R= 0.0411 이었다. 분자간 결합은 1개의 수소결합인 N(11)-Hll(Nll)‥‥N(3)로 결합되어 있으며, N(11)‥‥N(3)=3.136(2).1, N(11)-Hl 1 (Nl 1) ‥‥N(3) =164.1(15)˚이다.

• 생명과학회지
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• 제19권1호
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• pp.1-8
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• 2009

본 연구에서는 monofunctional alkylating agent인 N-methyl-N'-nitro-N-nitrosoguanidine (MNNG) 에 의한 인체 백혈병 U937 세포의 증식억제에 관한 기전 확인하였다. MNNG에 의한 U937 세포의 증식억제는 세포주기 G2/M arrest 및 apoptosis 유방과 연관이 있었으며, MNNG 는 G2/M기 조절에 관여하는 주요 cyclin 및 Cdk들의 발현 수준에는 큰 영향이 없었으나 cyclin B1 및 Cdk2-associated kinase의 활성을 매우 저하시켰다. MNNG 처리로 Cdk inhibit p2l(WAF1/CIP1)이 전사 및 번역 수준에서 발연이 증가되었으며, p21 promoter 의 활성도 증가되었다. p21 promoter deletion constructs을 이용한 연구에서 MNNG의 responsive element 부위는 전사 개시 부위 113-61 부근임을 확인하였다. 이 결과들은 MNNG에 의한 cyclin/Cdk 복합체의 kinase 활성 저하가 p53 비의존적인 p21의 활성 증가에 기인한 것임을 보여주는 것이며, 이는 MNNG의 암세포에서의 항암기전을 이해하는 귀중한 자료로서 제공될 것으로 기대된다.