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ON A PERMUTABLITY PROBLEM FOR GROUPS

  • TAERI BIJAN
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.75-96
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    • 2006
  • Let m, n be positive integers. We denote by R(m,n) (respectively P(m,n)) the class of all groups G such that, for every n subsets $X_1,X_2\ldots,X_n$, of size m of G there exits a non-identity permutation $\sigma$ such that $X_1X_2{\cdots}X_n{\cap}X_{\sigma(1)}X_{/sigma(2)}{\cdots}X_{/sigma(n)}\neq\phi$ (respectively $X_1X_2{\cdots}X_n=X_{/sigma(1)}X_{\sigma(2)}{\cdots}X_{\sigma(n)}$). Let G be a non-abelian group. In this paper we prove that (i) $G{\in}P$(2,3) if and only if G isomorphic to $S_3$, where $S_n$ is the symmetric group on n letters. (ii) $G{\in}R$(2, 2) if and only if ${\mid}G{\mid}\geq8$. (iii) If G is finite, then $G{\in}R$(3, 2) if and only if ${\mid}G{\mid}\geq14$ or G is isomorphic to one of the following: SmallGroup(16, i), $i\in$ {3, 4, 6, 11, 12, 13}, SmallGroup(32, 49), SmallGroup(32, 50), where SmallGroup(m, n) is the nth group of order m in the GAP [13] library.

The Effects of Orostachys japonicus on HepG2 Cell Proliferation and Oncogene Expression (와송(瓦松)이 HepG2 cell의 세포분열 및 관련유전자 발현에 미치는 영향)

  • Moon, Young-Hun;Kim, Young-Chul;Lee, Jang-Hoon;Woo, Hong-Jung
    • The Journal of Internal Korean Medicine
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    • v.26 no.1
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    • pp.48-59
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    • 2005
  • Objectives : The aim of the study was to evaluate the effect of WS on HepG2 cell cycle and expression of related genes. Methods : The MTT assay, Cell counting analysis, $[^3H]-Thymidine$ Incorporation Assay, Flow cytometric analysis, Quantitative RT-PCR were studied. Results : WS inhibited HepG2 cell proliferation in low concentration$(1-10\;{\mu]g/ml)$ which did not cause direct cytotoxicity, with dose-dependant manner. WS in-hibited DNA synthesis as well. Flow cytometric analysis on the HepG2 cell showed G2/M phase arrest. Conclusion : These results suggest that WS inhibits HepG2 cell proliferation not by the gene regulation but by G2/M phase arrest in the cell cycle. Thus further studies on the effect of WS in G2/M phase regulation are thought to be needed.

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G0/G1 Switch 2 Induces Cell Survival and Metastasis through Integrin-Mediated Signal Transduction in Human Invasive Breast Cancer Cells

  • Cho, Eunah;Kwon, Yeo-Jung;Ye, Dong-Jin;Baek, Hyoung-Seok;Kwon, Tae-Uk;Choi, Hyung-Kyoon;Chun, Young-Jin
    • Biomolecules & Therapeutics
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    • v.27 no.6
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    • pp.591-602
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    • 2019
  • Human breast cancer cell line, MDA-MB-231, is highly invasive and aggressive, compared to less invasive cell line, MCF-7. To explore the genes that might influence the malignancy of MDA-MB-231, DNA microarray analysis was performed. The results showed that G0/G1 switch 2 (G0S2) was one of the most highly expressed genes among the genes upregulated in MDA-MB-231. Although G0S2 acts as a direct inhibitor of adipose triglyceride lipase, action of G0S2 in cancer progression is not yet understood. To investigate whether G0S2 affects invasiveness of MDA-MB-231 cells, G0S2 expression was inhibited using siRNA, which led to decreased cell proliferation, migration, and invasion of MDA-MB-231 cells. Consequently, G0S2 inhibition inactivated integrin-regulated FAK-Src signaling, which promoted Hippo signaling and inactivated ERK1/2 signaling. In addition, G0S2 downregulation decreased ${\beta}$-catenin expression, while E-cadherin expression was increased. It was demonstrated for the first time that G0S2 mediates the Hippo pathway and induces epithelial to mesenchymal transition (EMT). Taken together, our results suggest that G0S2 is a major factor contributing to cell survival and metastasis of MDA-MB-231 cells.

Development of Recirculating Wick Hydroponic Techniques for Safe Seed Tuber Multiplication of Potatoe (심지 양액재배법에 의한 상위급 씨감자의 안정적 대량생산)

  • Kang Bong Kyoon;Kim Chan Woo
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.49 no.6
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    • pp.447-451
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    • 2004
  • This study was conducted to establish the proper techniques of the recirculating wick hydroponics for safe seed tuber proliferation of potatoes (Solanum tuberosum L. CV. Dejima). To achieve these, several intact tubers (5, 10 and 20 g) and cut seed-pieces (two or four) were treated in wick hydroponic system beds. A polystyrene box (31cm in width, 20cm in height, 51cm in length, and $0.031m^3$ in volume) was placed on a styrofoam hox. Eight wicks $(width\;1.5cm\;{\times}\;length\;40cm) $ were put into each polystyrene hox and the boxes were filled with perlite + peatmoss (1 : 2, v/v) medium. Top fresh weight per plant increased with increasing the tuber size from 10 to 30g/tuber. As the tuber size increases from 10 to 30 g/tuher in case of uncut tuber, the marketable tuber (>5g) production per plant increased from 83.8 to 141.8 g/plant and the marketable tuber (>5g) production per plant of cut tuber was slightly higher than that of uncut treatment. Total tuber yield ranged from 4.16 to $6.56kg/m^2$ and the percentage of seed tubers was greater than $97\%$ for all treatments. These results indicate that seed tuber should be cut to produce large tuber $(\geq10g)$ in the recirculating wick hydroponic system.

The effect of Indole acetic acid on the accumulation of Cd2+ and growth of Cd2+ - treated Commelina communis L. (닭의장풀에 Cd2+ 처리시 Cd2+ 흡수와 생장에 미치는 indole acetic acid의 영향)

  • Lee, Jun Sang
    • Journal of Environmental Science International
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    • v.13 no.6
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    • pp.513-518
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    • 2004
  • 3-weeks old Commelina was transferred to and grown in Hoagland solution (Control, $100\muM$ $Cd^{2+}$, $100\muM$ $Cd^{2+}$+ $100\muM$ IAA, $100\muM$ $Cd^{2+}$+ $100\muM$ IAA + 2 mM sucrose) for 3 weeks and then the effects of indole acetic acid (IAA) on the accumulation of $Cd^{2+}$ and growth of $Cd^{2+}$-treated Commelina were investigated. In the treatment of $Cd^{2+}$, $Cd^{2+}$ was uptaked to 1.74, and 51.36 ${\mu}g/g$ frwt. at the first week, but for three weeks, 0.51 and 34,53 ${\mu}g/g$ frwt, in leaf and stem respectively. When IAA was treated along with $Cd^{2+}$, $Cd^{2+}$ was uptaked to 0.18 and 8.63 ${\mu}g/g$ fiwt, at the first week, and for the incubation of 3 weeks, 0,51 and 45.0 ${\mu}g/g$ fiwt. in leaf and stem. In case of $Cd^{2+}$+IAA+sucrose, $Cd^{2+}$ was uptaked to 1.45 and 18.33 ${\mu}g/g$ frwt. at the first week, but for 3 weeks, 0,51 and 25.45 ${\mu}g/g$ fiwt. in leaf and stem. Likewise $Cd^{2+}$ uptake, the growth was also affected by $Cd^{2+}$ and IAA. During the incubation of 3 weeks, $Cd^{2+}$ reduced the stem growth about 8% in all weeks, but the treatment of IAA recovered the inhibition of stem growth caused by $Cd^{2+}$ to the degree of the control Therefore, it could be concluded that IAA altered the pattern of $Cd^{2+}$ uptake and the growth which were supposed to change $Cd^{2+}$ toxicity.

Chemical Composition and Acaricidal Activities of Constituents Derived from Eugenia caryophyllata Leaf Oils

  • Sung, Bo-Kyung;Lee, Hoi-Seon
    • Food Science and Biotechnology
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    • v.14 no.1
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    • pp.73-76
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    • 2005
  • The acaricidal activities of 12 commercial constituents derived from Eugenia caryophyllata leaf oils against Dermatophagoides farinae, D. pteronyssinus and Tyrophagus putrescentiae adults were examined using an impregnated fabric disk application and compared with that of the commercial benzyl benzoate as synthetic acaricide. On the basis of $LD_{50}$ values, the most toxic compound was methyl eugenol ($4.13\;{\mu}g/cm^2$), followed by methyl isoeugenol ($4.19\;{\mu}g/cm^2$), isoeugenol ($4.29\;{\mu}g/cm^2$), eugenol ($4.94\;{\mu}g/cm^2$), and acetyl eugenol ($13.91\;{\mu}g/cm^2$) against D. farinae. In the case of D. pteronyssinus, isoeugenol ($2.93\;{\mu}g/cm^2$) was the most toxic, followed by methyl isoeugenol ($3.28\;{\mu}g/cm^2$), methyl eugenol ($3.87\;{\mu}g/cm^2$), eugenol ($3.92\;{\mu}g/cm^2$), and acetyl eugenol ($7.21\;{\mu}g/cm^2$). These results suggest that D. pteronyssinus may be controlled more effectively by the application of eugenol congeners than D. farinae. In comparison with synthetic acaricides, the acaricidal activities of eugenol, isoeugenol, methyl eugenol, and methyl isoeugenol were about 1.9-2.2 times more toxic than benzyl benzoate. Furthermore, the most toxic constituent against T. putrescentiae was exhibited on eugenol ($10.11\;{\mu}g/cm^2$), followed by methyl eugenol ($38.67\;{\mu}g/cm^2$) and acetyl eugenol ($70.09\;{\mu}g/cm^2$), but no activity was observed for isoeugenol and methyl isoeugenol. The results suggested that eugenol congeners may be useful as a new source for selective control of house dust mites and stored food mites.

Seasonal Change of Rice-mediated Methane Emission from a Rice Paddy under Different Water Management and Organic Amendments (물 관리와 유기물 시용이 다른 논에서 벼 식물체를 통한 메탄 배출의 계절변화)

  • Shin, Yong-Kwang;Lee, Yang-Soo;Ahn, Jong-Woong;Koh, Mun-Hwan;Eom, Ki-Cheol
    • Korean Journal of Soil Science and Fertilizer
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    • v.36 no.1
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    • pp.41-49
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    • 2003
  • Methane emission was measured in a rice paddy under different water management and organic amendments. Methane emission from planted chambers and unplanted chambers was monitored to evaluate the rice-mediated methane emission. In flooding methane emission from planted chambers with NPK, NPK(+P), was $0.174g\;CH_4\;m^{-2}\;d^{-1}$ while that from unplanted chambers with NPK, NPK(-P), was $0.046g\;CH_4\;m^{-2}\;d^{-1}$ Methane emission from planted chambers with rice straw compost amendment, RSC(+P), was $0.214g\;CH_4\;m^{-2}\;d^{-1}$, while that from unplanted chambers with rice straw compost amendment, RSC(-P), was $0.076g\;CH_4\;m^{-2}\;d^{-1}$. Methane emission from planted chambers with rice straw amendment in Fehruary, RS2(+P), was $0.328g\;CH_4\;m^{-2}\;d^{-1}$, while that from unplanted chambers with rice straw amendment in February, RS2(-P), was $0.1g\;CH_4\;m^{-2}\;d^{-1}$. Methane emission from planted chambers with rice straw amendment in May, RS5(+P), was $0.414g\;CH_4\;m^{-2}\;d^{-1}$, while that from unplanted chamhers with rice straw amendment in May, RS5(-P), was $0.187g\;CH_4\;m^{-2}\;d^{-1}$. In intermittent irrigation methane emission from NPK(+P) was $0.115g\;CH_4\;m^{-2}\;d^{-1}$, while that from NPK(-P) was $0.041g\;CH_4\;m^{-2}\;d^{-1}$. Methane emission from RSC(+P) was $0.137g\;CH_4\;m^{-2}\;d^{-1}$, while that from RSC(-P) was $0.06g\;CH_4\;m^{-2}\;d^{-1}$. Methane emission from RS2(+P) was $0.204g\;CH_4\;m^{-2}\;d^{-1}$, while that from RS2(-P) was $0.09g\;CH_4\;m^{-2}\;d^{-1}$. Methane emission from RS5(+P) was $0.273g\;CH_4\;m^{-2}\;d^{-1}$, while that from RS5(-P) was $0.13g\;CH_4\;m^{-2}\;d^{-1}$. Methane transport via rice plant under flooding for NPK plot, RSC plot, RS2 plot and RS5 plot was 73.6%, 64.5%, 69.5% and 54.8%, respectively, and mean was 65.6%. Methane transport via rice plants under intermittent irrigation for NPK plot, RSC plot, RS2 plot and RS5 plot was 64.3%, 59.2%, 55.9% and 52.4%, respectively, and mean was 58.0%.

Unipodal 2PAM NOMA without SIC: toward Super Ultra-Low Latency 6G

  • Chung, Kyuhyuk
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.1
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    • pp.69-81
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    • 2021
  • While the fifth generation (5G) and beyond 5G (B5G) mobile communication networks are being rolled over the globe, several world-wide companies have already started to prepare the sixth generation (6G). Such 6G mobile networks targets ultra-reliable low-latency communication (URLLC). In this paper, we challenge to reduce the inherent latency of existing non-orthogonal multiple access (NOMA) in 5G networks of massive connectivity. First, we propose the novel unipodal binary pulse amplitude modulation (2PAM) NOMA, especially without SIC, which greatly reduce the latency in existing NOMA. Then, the achievable data rates for the unipodal 2PAM NOMA are derived. It is shown that for unequal gain channels, the sum rate of the unipodal 2PAM NOMA is comparable to that of the standard 2PAM NOMA, whereas for equal gain channels, the sum rate of the unipodal 2PAM NOMA is superior to that of the standard 2PAM NOMA. In result, the unipodal 2PAM could be a promising modulation scheme for NOMA systems toward 6G.

Comparison of Growth Characteristics Between 5-year-old emblings Derived form Somatic Embryos and Seedlings in Liriodendron tulipifera (백합나무 5년생 체세포배 유래 클론배양묘 및 실생묘 간의 생장특성 비교)

  • Kim, Yong Wook;Moon, Heung Kyu
    • Journal of Korean Society of Forest Science
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    • v.101 no.4
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    • pp.613-618
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    • 2012
  • The 5-year-old seedlings and emblings which regenerated from somatic embryos were compared to the height, DBH, foliar characteristics, content of chlorophyll (chlorophyll a, b and total chlorophyll), carotenoid and leaf microstructure in Liriodendron tulipifera. In comparison of height and DBH (diameter at breast height), no significant differences were found in height (seedling, 3.8 m; embling, 3.87 m) and DBH (seedling, 12.09 cm; embling, 12.53 cm). The emblings and seedlings were similar in values of length (seedling, 108.11 mm, embling, 113.59 mm), width (seedling, 149.1 mm; embling, 167.71 mm), surface area (seedling, $119.92mm^2$; embling, $164.43mm^2$), fresh weight (seedling, 2.1 g; embling, 2.62 g) of leaf, and length (seedling, 81.49 mm; embling, 98.41 mm) and thickness (seedling, 1.66 mm; embling, 1.98 mm) of petiole. In case of chlorophyll content in the leaves, the chlorophyll a (seedlings, $11.2{\mu}g/g$; emblings, $13.2{\mu}g/g$), b (seedlings, $4.8{\mu}g/g$; emblings, $5.4{\mu}g/g$) and total content were higher in emblings ($930.2{\mu}g/g$) than seedlings ($800.1{\mu}g/g$), however, content of carotenoid (seedlings, $260.3{\mu}g/g$; embling, $265.2{\mu}g/g$) showed similar in both plants. Leaves of emblings had a similar pattern of histological structure (palisade or sponge parenchyma) to that of seedlings leaves. Therefore, the results showed that there were no remarkable growth differences when compared with 5-year-emblings and seedlings of yellow poplar.

NEIGHBORHOOD CONDITION AND FRACTIONAL f-FACTORS IN GRAPHS

  • Liu, Hongxia;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1157-1163
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    • 2009
  • Let G be a graph with vertex set V(G) and let f be a nonnegative integer-valued function defined on V(G). A spanning subgraph F of G is called a fractional f-factor if $d^h_G$(x)=f(x) for all x $\in$ for all x $\in$ V (G), where $d^h_G$ (x) = ${\Sigma}_{e{\in}E_x}$ h(e) is the fractional degree of x $\in$ V(F) with $E_x$ = {e : e = xy $\in$ E|G|}. In this paper it is proved that if ${\delta}(G){\geq}{\frac{b^2(k-1)}{a}},\;n>\frac{(a+b)(k(a+b)-2)}{a}$ and $|N_G(x_1){\cup}N_G(x_2){\cup}{\cdots}{\cup}N_G(x_k)|{\geq}\frac{bn}{a+b}$ for any independent subset ${x_1,x_2,...,x_k}$ of V(G), then G has a fractional f-factor. Where k $\geq$ 2 be a positive integer not larger than the independence number of G, a and b are integers such that 1 $\leq$ a $\leq$ f(x) $\leq$ b for every x $\in$ V(G). Furthermore, we show that the result is best possible in some sense.

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