• Title/Summary/Keyword: m-sets

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ON THE INTEGRAL CLOSURES OF IDEALS

  • Ansari-Toroghy, H.;Dorostkar, F.
    • Honam Mathematical Journal
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    • v.29 no.4
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    • pp.653-666
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    • 2007
  • Let R be a commutative Noetherian ring (with a nonzero identity) and let M be an R-module. Further let I be an ideal of R. In this paper, by putting a suitable condition on $Ass_R$(M), we obtain some results concerning $I^{*(M)}$ and prove that the sequence of sets $Ass_R(R/(I^n)^{*(M)})$, $n\;\in\;N$, is increasing and ultimately constant. (Here $(I^n)^{*(M)}$ denotes the integral closure of $I^n$ relative to M.)

A REMARK ON CIRCULANT DECOMPOSITIONS OF COMPLETE MULTIPARTITE GRAPHS BY GREGARIOUS CYCLES

  • Cho, Jung Rae
    • East Asian mathematical journal
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    • v.33 no.1
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    • pp.67-74
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    • 2017
  • Let k, m and t be positive integers with $m{\geq}4$ and even. It is shown that $K_{km+1(2t)}$ has a decomposition into gregarious m-cycles. Also, it is shown that $K_{km(2t)}$ has a decomposition into gregarious m-cycles if ${\frac{(m-1)^2+3}{4m}}$ < k. In this article, we make a remark that the decompositions can be circulant in the sense that it is preserved by the cyclic permutation of the partite sets, and we will exhibit it by examples.

Development of a Multiplex Reverse Transcription-Polymerase Chain Reaction Assay for the Simultaneous Detection of Three Viruses in Leguminous Plants

  • Park, Chung Youl;Min, Hyun-Geun;Lee, Hong-Kyu;Maharjan, Rameswor;Yoon, Youngnam;Lee, Su-Heon
    • Research in Plant Disease
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    • v.24 no.4
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    • pp.348-352
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    • 2018
  • A multiplex reverse transcription-polymerase chain reaction (mRT-PCR) assay was developed for the detection of Clover yellow vein virus (ClYVV), Peanut mottle virus (PeMoV), and Tomato spotted wilt virus (TSWV), which were recently reported to infect soybean and azuki bean in Korea. Species-specific primer sets were designed for the detection of each virus, and their specificity and sensitivity were tested using mixed primer sets. From among the designed primer sets, two combinations were selected and further evaluated to estimate the detection limits of uniplex, duplex, and multiplex RT-PCR. The multiplex RT-PCR assay could be a useful tool for the field survey of plant viruses and the rapid detection of ClYVV, PeMoV, and TSWV in leguminous plants.

Performance of PN Code Based Time Hopping Sequences in M-ary Ultra Wide Band Multiple Access Systems Using Equicorrelated Signal Sets (동일 상관 신호군을 이용하는 M-ary UWB 다원 접속 시스템에서 PN 부호 기반 시간 도약 시퀀스의 성능)

  • 양석철;신요안
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.10A
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    • pp.816-829
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    • 2003
  • In this paper, we evaluate the performance of PN (Pseudo Noise) code based time hopping sequences for M-ary UWB (Ultra Wide Band) multiple access systems using the equicorrelated signal sets. In particular, we consider two different types of M-ary UWB systems in UWB indoor wireless multipath channels: The first type of the systems (System #1) has identical symbol transmission rate regardless of the number of symbols M since the length of signal pulse train is fixed while M increases, and the second type of the systems (System #2) has the same bit transmission rate regardless of M since the length of signal pulse train is extended according to the increase of M. We compare the proposed systems with those using the ideal random time hopping sequence in terms of the symbol error rate performance. Simulation results show that the PN code based time hopping sequence achieves quite good performance which is favorably comparable to that of the ideal random sequence. Moreover, as M increases, we observe that System #2 shows better robustness against multiple access interference than System # 1.

A Property of Borel Subsets of Wiener Space

  • Ryu, K.S.
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.45-48
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    • 1991
  • Wiener measure $m({\lambda}B)$ can behave arbitrarily badly as a function of ${\lambda}$ for Wiener measurable sets B. We show however that $m({\lambda}B)$ is Borel measurable with respect to ${\lambda}$ for any Borel subset B of $C_0$[0, 1].

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Analysis of Gene Expression in Human Dermal Fibroblasts Treated with Senescence-Modulating COX Inhibitors

  • Han, Jeong A.;Kim, Jong-Il
    • Genomics & Informatics
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    • v.15 no.2
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    • pp.56-64
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    • 2017
  • We have previously reported that NS-398, a cyclooxygenase-2 (COX-2)-selective inhibitor, inhibited replicative cellular senescence in human dermal fibroblasts and skin aging in hairless mice. In contrast, celecoxib, another COX-2-selective inhibitor, and aspirin, a non-selective COX inhibitor, accelerated the senescence and aging. To figure out causal factors for the senescence-modulating effect of the inhibitors, we here performed cDNA microarray experiment and subsequent Gene Set Enrichment Analysis. The data showed that several senescence-related gene sets were regulated by the inhibitor treatment. NS-398 up-regulated gene sets involved in the tumor necrosis factor ${\beta}$ receptor pathway and the fructose and mannose metabolism, whereas it down-regulated a gene set involved in protein secretion. Celecoxib up-regulated gene sets involved in G2M checkpoint and E2F targets. Aspirin up-regulated the gene set involved in protein secretion, and down-regulated gene sets involved in RNA transcription. These results suggest that COX inhibitors modulate cellular senescence by different mechanisms and will provide useful information to understand senescence-modulating mechanisms of COX inhibitors.

Application of Pac-Bio Sequencing, Trinity, and rnaSPAdes Assembly for Transcriptome Analysis in Medicinal Crop Astragalus membranaceus

  • Ji-Nam Kang;Si Myung Lee
    • Proceedings of the Korean Society of Crop Science Conference
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    • 2022.10a
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    • pp.254-254
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    • 2022
  • Astragalus membranaceus (A. membranaceus) has traditionally been used as a medicinal plant in East Asia for the treatment ofvarious diseases. A. membranaceus belongs to the legume family and is known to be rich in substances such as flavonoids and saponins. Recent pharmacological studies of A. membranaceus have shown that the plant has immunomodulatory, anti-oxidant, anti-cancer, and anti-inflammatory effects. However, knowledge of major biosynthetic pathways in A. membranaceu is still lacking. Recently developed sequencing techniques enable high-quality transcriptome analysis in plants, which is recognized as an important part in elucidating the regulatory mechanisms of many plant secondary metabolic pathways. However, it is difficult to predict the number of transcripts because plant transcripts contain a large number of isoforms due to alternative splicing events, which can vary depending on the assembly platform used. In this study, we constructed three unigene sets using Pac-Bio isoform sequencing, Trinity and rnaSPAdes assembly for detailed transcriptome analysis mA. membranaceus. Furthermore, all genes involved in the flavonoid biosynthetic pathway were searched from three unigene sets, and structural comparisons and expression profiles between these genes were analyzed. The isoflavone synthesis was active in most tissues. Flavonol synthesis was mainly active in leaves and flowers, and anthocyanin synthesis was specific in flowers. Gene structural analysis revealed structural differences in the flavonoid-related genes derived from the three unigene sets. This study suggests the need for the application of multiple unigene sets for the analysis of key biosynthetic pathways in plants.

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