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ON SOME TWISTED COHOMOLOGY OF THE RING OF INTEGERS

  • Lee, Seok-Min
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.1
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    • pp.77-102
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    • 2017
  • As an analogy of $Poincar{\acute{e}}$ series in the space of modular forms, T. Ono associated a module $M_c/P_c$ for ${\gamma}=[c]{\in}H^1(G,R^{\times})$ where finite group G is acting on a ring R. $M_c/P_c$ is regarded as the 0-dimensional twisted Tate cohomology ${\hat{H}}^0(G,R^+)_{\gamma}$. In the case that G is the Galois group of a Galois extension K of a number field k and R is the ring of integers of K, the vanishing properties of $M_c/P_c$ are related to the ramification of K/k. We generalize this to arbitrary n-dimensional twisted cohomology of the ring of integers and obtain the extended version of theorems. Moreover, some explicit examples on quadratic and biquadratic number fields are given.

STATIONARY GLOBAL DYNAMICS OF LOCAL MARKETS WITH QUADRATIC SUPPLIES

  • Kim, Yong-In
    • The Pure and Applied Mathematics
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    • v.16 no.4
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    • pp.427-441
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    • 2009
  • The method of Lattice Dynamical System is used to establish a global model on an infinite chain of many local markets interacting each other through a diffusion of prices between them. This global model extends the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution. We assume that each local market has linear decreasing demands and quadratic supplies with naive predictors, and investigate the stationary behaviors of global price dynamics and show that their dynamics are conjugate to those of $H{\acute{e}}non$ maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.

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TRAVELING WAVE GLOBAL PRICE DYNAMICS OF LOCAL MARKETS WITH LOGISTIC SUPPLIES

  • Kim, Yong-In
    • The Pure and Applied Mathematics
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    • v.17 no.1
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    • pp.93-106
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    • 2010
  • We employ the methods of Lattice Dynamical System to establish a global model extending the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution over an infinite chain of many local markets with interaction of each other through a diffusion of prices between them. For brevity of the model, we assume linear decreasing demands and logistic supplies with naive predictors, and investigate the traveling wave behaviors of global price dynamics and show that their dynamics are conjugate to those of H$\acute{e}$non maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.

Report on the chromosome numbers of four Carex taxa in Korea (Cyperaceae)

  • CHUNG, Kyong-Sook;IM, Hyoung-Tak
    • Korean Journal of Plant Taxonomy
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    • v.49 no.3
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    • pp.269-273
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    • 2019
  • We report the meiotic chromosome numbers of four Carex taxa from Korean populations. Three are the first reports made on taxa from Korean populations: Carex appendiculata (Trautv. & C. A. Mey.) $K{\ddot{u}}k$. ($n=27_{II}$), C. fernaldiana H. $L{\acute{e}}v$. & Vaniot ($n=33_{II}$), and C. metallica H.$L{\acute{e}}v$. ($n=15_{II}$). Reports on the other species expand the range of variation in the chromosome number within a taxon, C. miyabei Franch. (n = $43_{II}$, $44_{II}$, $45_{II}$). Carex L. (Cyperaceae) consists of more than 2,000 species worldwide and is the most species-rich genus in Korea. The species diversity in the genus has been hypothesized to be associated with the chromosome variation, but chromosome information pertaining to Korean Carex taxa is not well known. This report updates the chromosome number inventory on Korean Carex to 24 out of 180 taxa.

Transcriptional Analysis of 10 Selected Genes in a Model of Penicillin G Induced Persistence of Chlamydophila psittaci in HeLa Cells

  • Hu, Yanqun;Chen, Lili;Wang, Chuan;Xie, Yafeng;Chen, Zhixi;Liu, Liangzhuan;Su, Zehong;Wu, Yimou
    • Journal of Microbiology and Biotechnology
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    • v.25 no.8
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    • pp.1246-1256
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    • 2015
  • Chlamydophila psittaci is an important intracellular pathogen. Persistent infection is an important state of the host-parasite interaction in this chlamydial infection, which plays a significant role in spreading the organism within animal populations and in causing chronic chlamydiosis and serious sequelae. In this study, a C. psittaci persistent infection cell model was induced by penicillin G, and real-time quantitative PCR was used to study the transcriptional levels of 10 C. psittaci genes (dnaA, dnaK, ftsW, ftsY, grpE, rpsD, incC, omcB, CPSIT_0846, and CPSIT_0042) in acute and penicillin-G-induced persistent infection cultures. Compared with the acute cultures, the penicillin-G-treated cultures showed a reduced chlamydial inclusion size and a significantly decreased number of elementary body particles. Additionally, some enlarged aberrant reticulate body particles were present in the penicillin-G-treated cultures but not the acute ones. The expression levels of genes encoding products for cell division (FtsW, FtsY) and outer membrane protein E encoding gene (CPSIT_0042) were downregulated (p < 0.05) from 6 h post-infection onward in the persistent infection cultures. Also from 6 h post-infection, the expression levels of DnaA, DnaK, IncC, RpsD, GrpE, and CPSIT_0846 were upregulated (p < 0.05); however, the expression level of OmcB in the persistent infection was< almost the same as that in the acute infection (p > 0.05). These results provide new insight regarding molecular activities that accompany persistence of C. psittaci, which may play important roles in the pathogenesis of C. psittaci infection.

A Study of the Academic Perspective of Chang Seok Sun (장석순(張錫純)의 학술사상에 관한 연구)

  • Woo, Ho;Park, Hyun-kuk
    • The Journal of Dong Guk Oriental Medicine
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    • v.7 no.1
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    • pp.1-32
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    • 1998
  • I found following idea, as a result of researching his Science idea, mainly, by translation of the "$Zh\bar{a}ng$ xi $ch\acute{u}n$ $Xu\acute{e}$ $Sh\acute{u}$ ssu $hsi\acute{a}ng$ "(張錫純 學術硏究). $Zh\bar{a}ng$ xi $ch\acute{u}n$ regarded $ch\tilde{u}ng$ $ch\bar{u}ng$ $ts'\bar{a}n$ $hs\bar{l}$' (衷中參西) as the core idea of The Chinese-Western medical combination. He didn't segregate philosophy of the West from One of the Orient. He persued to harmonize each other and thought that the Western medicint theory is included in the Chinese one in many parts. besides, He recognized that it is bad to reject each other, for the medical science's purpose is to save a life, and united The Chinese-Western medicine theory, by $ch\acute{u}ng$ $ch\tilde{u}ng$ $ch\bar{u}ng$ $ts'\bar{a}n$ $hs\bar{l}$'(衷中參西) idea which refers to consult the Western medicine on the basis of the Chinese one. Medical basic theory of $Zh\bar{a}ng$ xi $ch\acute{u}n$ brought up new views of the theory : Dae-gi(大氣), gi-Hwa(氣化) theory, Nongangubgan byung juing chi(論肝及肝病證治), Eum her chijung ja bi(陰虛治重滋脾). Lim Sangeung yong(臨床應用) of Hyul Her gub(血虛及)-Hwal Hyul Hwa $\breve{u}$ bub(活血化瘀法), on the basis of classics, such as, "$N\breve{e}i$ Ching"(內經), "Chin Kue $\breve{i}$ $y\bar{a}o$ $l\ddot{u}{\bar{e}}h$, "Shen $n\acute{u}ng$ $p\breve{e}n$ $t\acute{s}{\check{a}}o$ ching"(新農本草經) etc. I'll sum up $Zh\bar{a}ng$ xi $ch\acute{u}n's$ clinical idea now He unified Sang Han(像寒)-On Byung(溫病) with Yuk Kyung Byung Jung(六經辨證) and It was noticiable to utilize a kinds of Baek Ho Tang(白虎湯). He gave a detailed description about a method of grasp the symptoms of the cause of the internal medicine diseases and pathology and, he left abundant views of theory about using remedy and experience of clinic.

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Cytotaxonomic study of Korean Euphorbia L. (Euphorbiaceae) (한국산 대극속(Euphorbia L., Euphorbiaceae)의 세포분류학적 연구)

  • Chung, Gyu Young;Oh, Byoung-Un;Park, Ki-Ryong;Kim, Joo-Hwan;Kim, Mi Suk;Nam, Gi-Heum;Jang, Chang-Gee
    • Korean Journal of Plant Taxonomy
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    • v.33 no.3
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    • pp.279-293
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    • 2003
  • Somatic chromosomes about 13 taxa of Korean Euphorbia L. was investigated to estimate its taxonomic significance. Somatic chromosome numbers of treated taxa were 2n= 12, 20, 22, 28, 40, 42, 56, therefore basic chromosome numbers of those were x=6, 7, 10, 11. The chromosome numbers of E. pallasii Turcz. (2n=20), E. hylonoma Hand.-Mazz (2n=20.), E. fauriei H. L$\acute{e}$v. & Vaniot ex H. L$\acute{e}$v (2n=28) and E. jolkini Boiss. (2n=28) were determined for the first time in this study. The chromosome numbers of four taxa were same as previous ones; E. sieboldiana Moor. & Decne. (2n=20), E. ebracteolata Hayata (2n=20), E. humifusa Willd. ex Schlecht. (2n=22). But those of six taxa were different; E. esula L (2n= 16, 20, 60, 64 vs 2n=20), E. helioscopia L. (2n=12, 42 vs 2n=42), E. lucorum Rupr. (2n=28, 40 vs 2n=56), E. pekinensis Rupr. in Maxim. (2n=24 vs 2n=28, 56), E. maculata L. (2n=28, 42 vs 2n=12), E. supina Raf. (n=7 vs 2n=40). E. ebracteolata, E. pallasii and E. hylonoma were distingushcd from the other taxa by the chromosome numbers, size and satellites, E. maculata, E. humifusa, E. supina had the different basic and somatic chromosome numbers in spite of the similar morphological. anatomical and palynological chracters. The chromosomal character of Korean Euphorbia was supported the Ma and Hu's systems, and as above results, it was found to be a good character in delimiting above sections and estimating relationships for some species.

DIRECT PROOF OF EKELAND'S PRINCIPLE IN LOCALLY CONVEX HAUSDORFF TOPOLOGICAL VECTOR SPACES

  • Park, Jong An
    • Korean Journal of Mathematics
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    • v.13 no.1
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    • pp.83-90
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    • 2005
  • A.H.Hamel proved the Ekeland's principle in a locally convex Hausdorff topological vector spaces by constructing the norm and applying the Ekeland's principle in Banach spaces. In this paper we show that the Ekeland's principle in a locally convex Hausdorff topological vector spaces can be proved directly by applying the famous general principle of H.Br$\acute{e}$zis and F.E.Browder.

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Acute and Chronic Toxicity of heavy Metals to Daphnia magna (물벼룩(Daphnia magna)에 대한 중금속의 급성 및 만성 독성)

  • Jeong, Jae-Won;Cha, Mi-Seon;Jo, Sun-Ja;Lee, Sang-Jun
    • Journal of Environmental Science International
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    • v.10 no.4
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    • pp.293-298
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    • 2001
  • The toxicity values heavy metals were evaluated by immobilization and chronic reproduction impairment tests, using Daphnia magna. Acute tests were evaluated by the inhibition of their mobilization after 24hrs without food addition. The tests of reproductive impairment were investigated for 21 days by food addition and exchange or water. The effect of each concentration was assessed by Probit analysis and t-test. The results obtained from this study were as follows : 1) The change of pH and DO was not significant in the acute tests, while, in the reproductive tests, pH was increased by 0.3~1.4 and DO also increased. 2) The $E_iC_{50}$ values of immobilization to Daphnia magna in artificial fresh water were $0.030mg/{\ell}(Cu),\;0.054mg/{\ell}(Cd),\;0.12mg/{\ell};(Cr),\;0.74mg/{\ell}(Pb),\;3.4mg/ {\ell}(As)$ and the $NOE_iC$ values were $0.010mg/{\ell}(Cu),\;0.018mg/{\ell}(Cd),\;0.010mg/{\ell}(Cr),\;0.10mg/{\ell}(Pb),\;and\;$1.8mg/{\ell}(As)$. 3) The $E_rC_{50}$ values of reproductive impairment to Daphnia magna were $13.8\mu\textrm{g}/{\ell}(Cu),\;2.9\mu\textrm{g}/{\ell}(Cd),\;15.5\mu\textrm{g}/{\ell}(Cr),\;61.7\mu\textrm{g}/{\ell}(Pb),\;759\mu\textrm{g}/{\ell}(As)$, and $NOE_rC$ values were $0.95\mu\textrm{g}/{\ell}(Cu),\;$0.54\mu\textrm{g}/{\ell}(Cd),\;1.2\mu\textrm{g}/{\ell}(Cd),\;$7.4\mu\textrm{g}/{\ell}(Pb),\;110mu\textrm{g}/{\ell}(As)$. The results of tests using OECD artificial culture water were more sensitive than natural water for culturing. The presented data show that an artificial culture water is suitable in the experiment of bioassay for assessing the toxicity of marterials.

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A New Report of Odontosia sieversii (Lepidoptera: Notodontidae) from Korea

  • Choi, Sei-Woong;Kim, Sung-Soo
    • Animal Systematics, Evolution and Diversity
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    • v.29 no.4
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    • pp.316-319
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    • 2013
  • In Korea, 104 species of Notodontidae have been recorded. The genus Odontosia H$\ddot{u}$bner is characterized by the elongate and serrate margin of its forewing and the prominent harpe of valva and many spinular cornuti on the vesica of the male genitalia and the robust ductus bursae and large, ovate and sclerotized corpus bursae of the female genitalia. Only one species of Odontosia, O. patricia Stichel, 1918, has been reported from Korea. In this paper, Odontosia sieversii ($M\acute{e}n\acute{e}tri\grave{e}s$, 1856) is newly added to the Korean fauna based on three male specimens collected at Mt. Bangtaesan, Gangwon-do, Korea. Diagnosis for the species and photographs of adult and genitalia of the genus Odontosia are provided.