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VALUE DISTRIBUTION OF SOME q-DIFFERENCE POLYNOMIALS

  • Xu, Na;Zhong, Chun-Ping
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.29-38
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    • 2016
  • For a transcendental entire function f(z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial $f(qz)-a(f(z))^n$ and $f(q_1z)f(q_2z){\cdots}f(q_mz)-a(f(z))^n$. The property of entire solution of a certain q-difference equation is also considered.

SOME REMARKS ON CENTERED-LINDELÖF SPACES

  • Song, Yan-Kui
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.277-280
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    • 2009
  • In this paper, we prove the following two statements: (1) There exists a Hausdorff locally $Lindel{\ddot{o}}f$ centered-$Lindel{\ddot{o}}f$ space that is not star-$Lindel{\ddot{o}}f$. (2) There exists a $T_1$ locally compact centered-$Lindel{\ddot{o}}f$ space that is not star-$Lindel{\ddot{o}}f$. The two statements give a partial answer to Bonanzinga and Matveev [2, Question 1].

ALMOST PERIODIC POINTS FOR MAPS OF THE CIRCLE

  • Cho, Sung Hoon;Min, Kyung Jin
    • Korean Journal of Mathematics
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    • v.8 no.1
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    • pp.27-32
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    • 2000
  • In this paper, we show that for any continuous map $f$ of the circle $S^1$ to itself, (1) $x{\in}{\Omega}(f){\backslash}\overline{R(f)}$, then $x$ is not a turning point of $f$ and (2) if $P(f)$ is non-empty, then $R(f)$ is closed if and only if $AP(f)$ is closed.

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UNIQUENESS THEOREM FOR A MEROMORPHIC FUNCTION AND ITS EXACT DIFFERENCE

  • Chen, Shengjiang;Xu, Aizhu
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1307-1317
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    • 2020
  • Let f be a nonconstant meromorphic function of hyper order strictly less than 1, and let c be a nonzero finite complex number such that f(z + c) ≢ f(z). We prove that if ∆cf = f(z + c) - f(z) and f share 0, ∞ CM and 1 IM, then ∆cf = f. Our result generalizes and greatly improves the related results.

Enhanced Seed Development in the Progeny from the Interspecific Backcross (Fagopyrum esculentum ${\times}$ F. homotropicum) ${\times}$ F. esculentum

  • Shin, Dong-Hoon;Kamal, A H M;Yun, Young-Ho;Bae, Jeong-Sook;Lee, Yun-Sang;Lee, Moon-Soon;Chung, Keun-Yook;Woo, Sun-Hee
    • Korean Journal of Plant Resources
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    • v.22 no.3
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    • pp.209-214
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    • 2009
  • To facilitate the introgression of F. esculentum into the traits of F. homotropicum, several accessions of the hybrids between these two species were pollinated with F. esculentum as the recurrent parent. The embryo in vitro rescue was performed to increase the recovery of backcross progenies. The $F_{2}$ generation was more amenable than $F_{1}$ hybrids to produce backcross progenies. The $F_{1}$ hybrids were backcrossed twice with common buckwheat (pin-type F. esculentum) (recurrent backcrossing). Also, alternate backcrosses with common buckwheat and F. homotropicum (congruity backcrossing) were carried out. Pollen tube growth of BC$F_{1}$ ${\times}$ F. esculentum (thrum) and F. homotropicum ${\times}$ BC$F_{1}$ was the disturbed penetration exceeded for all initial interspecific hybrids, and its requirement was proportionally lower when the common buckwheat was used as the recurrent parent and as the last parent of congruity hybrids. Effects of both common buckwheat and F. homotropicum on seed success rate for hybridization were observed. Growth of hybrid embryos before rescue, regeneration of mature hybrids all increased recurrent and congruity backcrosses and inter-crosses between $F_{1}$ plants and selected fertile plants of the second congruity backcrosses.

Studies on Efficacy of Crude Drug by Processing(III): Effect of Paeoniae Radix alba on CNS and Isolated Ileum (생약의 수치(修治)에 따른 약효연구(제3 보) : 백작약(白芍藥)이 중추신경계 및 적출장관에 미치는 영향)

  • Hong, Nam-Doo;Rho, Young-Soo;Cho, Young-Whan;Ju, Soo-Man
    • Journal of Pharmaceutical Investigation
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    • v.16 no.3
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    • pp.124-131
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    • 1986
  • Pharmacological activities of Paeoniae Radix alba were studied with water extract (F-I), parched preparation (F-II) and 25% ethanol-treated preparation (F-III) of it. The results were summerized as follows; 1) Analgesic actions were recognized with F-I, F-II and F-III. 2) Sedative actions were recognized with F-I and F-III. 3) Prolonged effect of sleeping time were recognized significantly with F-I and F-III. 4) Antipyretic actions were recognized with F-1, F-II and F-III in rabbits. 5) F-I, F-II and F-III showed the antagonic action against contraction of isolated-ileum induced by acetylcholine, barium chloride and histamine in mice and guinea-pigs.

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Studies on the Selection Response of Generation for Egg Production in Single Comb Leghorn (백색 레그혼종 순종계통의 산란능력에 있어서 세대별 선발반응에 관한 연구)

  • 이학교;최철환;박무균;이수헌;박태진
    • Korean Journal of Poultry Science
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    • v.19 no.4
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    • pp.187-195
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    • 1992
  • This study carried out to investigate selection response of pure line population of layer chicken. Data for two layer pure line of Single Comb White Leghorn were collected from 1986 to 1991. Primary selection criteria were egg number to 270 days of age (EN270), egg weight(BW270), body weight (BW270) at 270 days of age and the days of the 1st egg(SM). The results obtained in this study are summarized as follows ; 1. Mean phenotypic values of two strains were decreased by 1.94 day(K), 1.320ay(F) for SM and increased by 0.09g(K), -0.05g(F) for EW 270 and 0.56(K), -0.78(F) for EN270. 2. The ratio of a realized selection differential to expected selection differentials for SM (sexual maturity), EW 270, and BW 270 were not significantly decreased during 5 generations. 3. Heritability were estimated from sib analysis. The means of estimates were 0.28(F), 0.39(K) for BW270, and 0.25(F), 0.29(K) for EN270 and 0.51(F), 0.48(K) for EW270. 4. The genetic gains were estimated by method of selection index in retrospect on the basis of selection differentials. EN270 and EW270 were found to increase by 2.01(F), 2.25(K) and 0.54 (F), 0.65(K) per generation.

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Molecular Analysis of Promoter and Intergenic Region Attenuator of the Vibrio vulnificus prx1ahpF Operon

  • Lee, Hyun Sung;Lim, Jong Gyu;Han, Kook;Lee, Younghoon;Choi, Sang Ho
    • Journal of Microbiology and Biotechnology
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    • v.25 no.8
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    • pp.1380-1389
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    • 2015
  • Prx1, an AhpF-dependent 2-Cys peroxiredoxin (Prx), was previously identified in Vibrio vulnificus, a facultative aerobic pathogen. In the present study, transcription of the V. vulnificus prx1ahpF genes, which are adjacently located on the chromosome, was evaluated by analyzing the promoter and intergenic region of the two genes. Northern blot analyses revealed that transcription of prx1ahpF results in two transcripts, the prx1 and prx1ahpF transcripts. Primer extension analysis and a point mutational analysis of the promoter region showed that the two transcripts are generated from a single promoter. In addition, the 3' end of the prx1 transcript at the prx1ahpF intergenic region was determined by a 3'RACE assay. These results suggested that the prx1ahpF genes are transcribed as an operon, and the prx1 transcript was produced by transcriptional termination in the intergenic region. RNA secondary structure prediction of the prx1ahpF intergenic region singled out a stem-loop structure without poly(U) tract, and a deletion analysis of the intergenic region showed that the atypical stem-loop structure acts as the transcriptional attenuator to result in the prx1 and prx1ahpF transcripts. The combined results demonstrate that the differential expression of prx1 and ahpF is accomplished by the cis-acting transcriptional attenuator located between the two genes and thereby leads to the production of a high level of Prx1 and a low level of AhpF.