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OSCULATING VERSUS INTERSECTING CIRCLES IN SPACE-BASED MICROLENS PARALLAX DEGENERACIES

  • Gould, Andrew
    • Journal of The Korean Astronomical Society
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    • v.52 no.4
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    • pp.121-131
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    • 2019
  • I investigate the origin of arc degeneracies in satellite microlens parallax ${\pi}_E$ measurements with only late time data, e.g., t > $t_0+t_E$ as seen from the satellite. I show that these are due to partial overlap of a series of osculating, exactly circular, degeneracies in the ${\pi}_E$ plane, each from a single measurement. In events with somewhat earlier data, these long arcs break up into two arclets, or (with even earlier data) two points, because these earlier measurements give rise to intersecting rather than osculating circles. The two arclets (or points) then constitute one pair of degeneracies in the well-known four-fold degeneracy of space-based microlens parallax. Using this framework of intersecting circles, I show that next-generation microlens satellite experiments could yield good ${\pi}_E$ determinations with only about five measurements per event, i.e., about 30 observations per day to monitor 1500 events per year. This could plausibly be done with a small (hence cheap, in the spirit of Gould & Yee 2012) satellite telescope, e.g., 20 cm.

Soluble Expression and Purification of Human Tissue-type Plasminogen Activator Protease Domain

  • Lee, Hak-Joo;Im, Ha-Na
    • Bulletin of the Korean Chemical Society
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    • v.31 no.9
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    • pp.2607-2612
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    • 2010
  • Human tissue-type plasminogen activator (tPA) is a valuable thrombolytic agent used to successfully treat acute myocardial infarction, thromboembolic stroke, peripheral arterial occlusion, and venous thromboembolism. Recombinant tPA is accumulated as an inactive form in inclusion bodies of E. coli and is refolded in vitro, which is accompanied by extensive aggregation. In the present study, a tPA protease domain was expressed in an active soluble form in the cytosol of E. coli Rosetta-gami cells, which allowed disulfide bond formation and supplied the tRNA molecules required for six rarely used codons in E. coli. This strategy increased the amount of soluble protease domain protein and avoided the cumbersome refolding process. The purified protease domain not only degraded tPA substrate peptides but also formed a covalently bound complex with plasminogen activator inhibitor-1, as does full-length tPA. Soluble expression and purification of tPA domains may aid in functional analyses of this multi-domain protein, which has been implicated in many physiological and pathological processes.

ESTIMATES FOR SCHRÖDINGER MAXIMAL OPERATORSALONG CURVE WITH COMPLEX TIME

  • Niu, Yaoming;Xue, Ying
    • Journal of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.89-111
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    • 2020
  • In the present paper, we give some characterization of the L2 maximal estimate for the operator Pta,γf(Γ(x, t)) along curve with complex time, which is defined by $$P^t_{a,{\gamma}}f({\Gamma}(x,t))={\displaystyle\smashmargin{2}{\int\nolimits_{\mathbb{R}}}}\;e^{i{\Gamma}(x,t){\xi}}e^{it{\mid}{\xi}{\mid}^a}e^{-t^{\gamma}{\mid}{\xi}{\mid}^a}{\hat{f}}({\xi})d{\xi}$$, where t, γ > 0 and a ≥ 2, curve Γ is a function such that Γ : ℝ×[0, 1] → ℝ, and satisfies Hölder's condition of order σ and bilipschitz conditions. The authors extend the results of the Schrödinger type with complex time of Bailey [1] and Cho, Lee and Vargas [3] to Schrödinger operators along the curves.

L'usage du clip publicitaire dans l'apprentissage de la langue française (광고 영상을 활용한 프랑스어 교육 방안)

  • KIM, Eunne Kyung
    • Cross-Cultural Studies
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    • v.37
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    • pp.211-231
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    • 2014
  • Comment faciliter l'apprentissage du français pour rendre notre enseignement plus efficace? Beaucoup de recherches ont ${\acute{e}}t{\acute{e}}$ $men{\acute{e}}es$ sur cette question; en $r{\grave{e}}gle$ $g{\acute{e}}n{\acute{e}}rale$ l'enseignement de la langue d'une part et l'expression ${\acute{e}}crite$ et la $r{\acute{e}}flexion$ d'autre part ${\acute{e}}taient$ $men{\acute{e}}es$ $ind{\acute{e}}pendamment$. Notre intention dans ce $pr{\acute{e}}sent$ travail a ${\acute{e}}t{\acute{e}}$ d'introduire et $d^{\prime}e xp{\acute{e}}rimenter$ pendant $l^{\prime}ann{\acute{e}}e$ scolaire des cours associant le $d{\acute{e}}bat$ $d^{\prime}id{\acute{e}}e$ et la $r{\acute{e}}flexion$ $th{\acute{e}}matique$ avec l'apprentissage linguistique(grammaire, vocabulaire${\dots}$), afin de susciter $l^{\prime}i nt{\acute{e}}r{\hat{e}}t$ des apprenants, leur $curiosit{\acute{e}}$ et leur $vivacit{\acute{e}}$, au $del{\grave{a}}$ des $d{\acute{e}}fis$ $pos{\acute{e}}s$ par la langue française. Nous avons en particulier $utilis{\acute{e}}$ une $publicit{\acute{e}}$ comme support d'apprentissage des bases linguistiques et comme moteur $d^{\prime}{\acute{e}}veil$ ${\grave{a}}$ la civilisation française pour mobiliser leur attention et stimuler leur $activit{\acute{e}}$ cognitive par $l^{\prime}interdisciplinarit{\acute{e}}$. Nous avons donc $expos{\acute{e}}$ ici les exemples d'argumentation autour les deux $s{\acute{e}}quences$ publicitaires conduites avec les ${\acute{e}}tudiants$ et les arborescences $d{\acute{e}}gag{\acute{e}}es$ de ces analyses. Presque concomittamment ${\grave{a}}$ "voir" et "${\acute{e}}couter$", l'information est $trait{\acute{e}}e$ par $l^{\prime}activit{\acute{e}}$ "$d{\acute{e}}coder$". Nous approfondissons ensemble cette $interpr{\acute{e}}tation$ $s{\acute{e}}miotique$, et l'analyse de la façon dont la $publicit{\acute{e}}$ capte l'attention du spectateur nous $am{\grave{e}}ne$ ${\grave{a}}$ $d{\acute{e}}gager$ des faits de $soci{\acute{e}}t{\acute{e}}$ et ${\grave{a}}$ y $r{\acute{e}}fl{\acute{e}}chir$; comment, avec l'exemple de la $publicit{\acute{e}}$ jouant la musique $d{\acute{e}}licieuse$ de la gourmandise, nous entrevoyons la $r{\acute{e}}alit{\acute{e}}$ obscure de $l^{\prime}ob{\acute{e}}sit{\acute{e}}$ infantile. Ces approches interdisciplinaires ${\grave{a}}$ partir du multi-$m{\acute{e}}dia$ $r{\acute{e}}pondent$ ${\grave{a}}$ la $n{\acute{e}}cessit{\acute{e}}$ de distance critique que requiert la $soci{\acute{e}}t{\acute{e}}$ contemporaine. $L^{\prime}{\acute{e}}tude$ d'une $s{\acute{e}}quence$ publicitaire ne permet certes pas $d^{\prime}appr{\acute{e}}hender$ la $soci{\acute{e}}t{\acute{e}}$ française dans sa $globalit{\acute{e}}$, mais en $consid{\acute{e}}rant$ que notre travail consiste tout autant ${\grave{a}}$ stimuler la $facult{\acute{e}}$ critique $qu^{\prime}{\grave{a}}$ favoriser l'apprentissage linguistitique, notre $strat{\acute{e}}gie$ nous permet de $r{\acute{e}}aliser$ plusieurs objectifs autour d'un $m{\hat{e}}me$ axe d'enseignement.

SCALE TRANSFORMATIONS FOR PRESENT POSITION-INDEPENDENT CONDITIONAL EXPECTATIONS

  • Cho, Dong Hyun
    • Journal of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.709-723
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    • 2016
  • Let C[0, t] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}{\mathbb{R}}^n$ by $Zn(x)=(\int_{0}^{t_1}h(s)dx(s),{\cdots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $t_n$ < t is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. In this paper we will introduce a simple formula for a generalized conditional Wiener integral on C[0, t] with the conditioning function $Z_n$ and then evaluate the generalized analytic conditional Wiener and Feynman integrals of the cylinder function $F(x)=f(\int_{0}^{t}e(s)dx(s))$ for $x{\in}C[0,t]$, where $f{\in}L_p(\mathbb{R})(1{\leq}p{\leq}{\infty})$ and e is a unit element in $L_2[0,t]$. Finally we express the generalized analytic conditional Feynman integral of F as two kinds of limits of non-conditional generalized Wiener integrals of polygonal functions and of cylinder functions using a change of scale transformation for which a normal density is the kernel. The choice of a complete orthonormal subset of $L_2[0,t]$ used in the transformation is independent of e and the conditioning function $Z_n$ does not contain the present positions of the generalized Wiener paths.

Use of 16S-23S rRNA Intergenic Spacer Region for Rapid Detection of Vibrio fluvialis (16S-23S rRNA Intergenic Spacer Region을 이용한 Vibrio fluvialis의 검출)

  • 강현실;허문수;이제희
    • Korean Journal of Environmental Biology
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    • v.21 no.1
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    • pp.77-85
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    • 2003
  • We have examined the 16S-23S rRNA intergenic spacer regions (ISR) of Vibrio fluvialis. ISRs were PCR amplified, cloned into a plasmid vector and then sequenced. As results of ISR nucleotide sequence analysis, total of 6 clones were isolated depending on the size. The clones were different in both the number and the composition of the tRNA genes, and were designated ISR-A, ISR-E, ISR-El, ISR-lA, ISR-EKV, ISR-EKAV. ISR-A contains $tRNA^{Ala}$; ISR-lA, $tRNA^{Ile}$-$tRNA^{Ala}$; ISR-EKV, $tRNA^{GIu}$-$tRNA^{Lys}$-$tRNA^{Val}$;ISE-EKAV, $tRNA^{GIu}$-$tRNA^{Lys}$-$tRNA^{Ala}$-$tRNA^{Val}$; ISR -E and E1, $tRNA^{GIu}$ clusters. ISR-EKV was shown to be a minor type out of the six ISR types and showed a very limited homology between ISR-EKV from V, fluvialis and ISRa from other Vibrio species. Therefore ISR-EKV sequence was used to design species-specific primers to detect V, fiuvialis from other Vibrio species by PCR reaction. The specificity of the primers was examined using genomic DNA of other Vibrios as templates for PCR reaction. The result showed that PCR can be a useful method to detect V. fluvialis among Vibrio species in a single PCR reaction.

A NOTE ON WEYL'S THEOREM FOR *-PARANORMAL OPERATORS

  • Kim, An-Hyun
    • Communications of the Korean Mathematical Society
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    • v.27 no.3
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    • pp.565-570
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    • 2012
  • In this note we investigate Weyl's theorem for *-paranormal operators on a separable infinite dimensional Hilbert space. We prove that if T is a *-paranormal operator satisfying Property $(E)-(T-{\lambda}I)H_T(\{{\lambda}\})$ is closed for each ${\lambda}{\in}{\mathbb{C}}$, where $H_T(\{{\lambda}\})$ is a local spectral subspace of T, then Weyl's theorem holds for T.

ON THE IDEMPOTENTS OF CYCLIC CODES OVER 𝔽2t

  • Sunghyu, Han
    • Korean Journal of Mathematics
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    • v.30 no.4
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    • pp.653-663
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    • 2022
  • We study cyclic codes of length n over 𝔽2t. Cyclic codes can be viewed as ideals in 𝓡n = 𝔽2t [x]/(xn − 1). It is known that there is a unique generating idempotent for each ideal. Let e(x) ∈ 𝓡n. If t = 1 or t = 2, then there is a necessary and sufficient condition that e(x) is an idempotent. But there is no known similar result for t ≥ 3. In this paper we give an answer for this problem.

Effects (비타민 E 보충이 여자 운동선수들의 항산화능과 면역능력에 미치는 영향)

  • 김우경
    • Journal of Nutrition and Health
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    • v.32 no.7
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    • pp.781-786
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    • 1999
  • This study was designed to investigate the effects of vitamin E supplementation on radical scavenger activity and immune responses in female judo athletes(n=18). The age and sex matched sedentary students were used as controls(n=15). The initial plasma vitamin E concentration, lipid peroxide level and radical scavenger activity (RSA) were not different between two groups. The supplementation of $\alpha$-tocopheryl acetate(400IU/d) for 4 weeks significantly increased plasma vitamin E concentration of the subjects in both groups. In addition, the decrease in thiobarbituric acid reactive substance(TBARS)(p<0.05) and enhancement of RSA(p<0.05) were observed in both groups. Percentages of total T-cells in the athletic group was lower than that in the control group(p<0.05). However, the ratio of CD4 / CD8(helper T-cal $l^pressor T-cell) was higher in the sports group, due to more decrease in CD8 subset than in CD4 subset. The concentrations of IgG and IgM in the sports group were significantly lower than those in the control group(p<0.05). Therefore, severe training of the athletic group seems to be associated with the changes of supplementation. In conclusion, vitamin E supplementation (400IU/d, 4 weeks) of the female university students improved antioxidative activities of the blood, by decreasing lipid peroxide and enhancing radical scavenger activity. Percentages of T lymphocytes and IgG and IgM concentrations in the athletic group were lower than those in the control group. Meanwhile, vitamin E supplementation had no effects on immune status in both groups.ps.

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A Check List and Key to the Tetranychod Mites (Acari: Chelicerata) of Korea (한국산 잎응애 상과의 목록 및 검색표)

  • 이원구;이정상
    • Animal Systematics, Evolution and Diversity
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    • no.nspc3
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    • pp.45-58
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    • 1992
  • Tetranychoid mites found from Korea until now are 42 species belonging to 12 genera, 2 families as follows: 1 Bryobia japonica Ehara et Yamada, 2. B. praetiosa Koch, 3. B. rubrioculus(Scheuten), 4. Petrobia latens(Muller), 5. Aponychus corpuzae Rimando, 6. A firmianae(Ma et Yuan). 7. Panonychus citri(McGregor), 8. P. ulmi(Koch), 9. Eotetranychus carpini Oudemans, 10. E. hicoriae(McGregor), 11. E. populi(Koch), 12. E. rubiphilus (Reck), 13. E. sexmaculatus (Riley), 14. E. smithi Pritchard et Baker, 15. E. tiliarium (Hermann), 16. E. uchidai Ehara, 17. Schizotetranychus bambusae Reck, 18. S. celarius(Banks), 19. S. leguminosus Ehara, 20. Oligonychus aceris(Shimer), 21. O. clavatus(Ehara), 22. O. hondoensis(Ehara), 23. O. ilicis(McGregor), 24. O. karamatus(Ehara), 25. O. orthius Rimando, 26. O. peridtus Pritchard et Baker, 27. O. shinkajii Ehara, 28. O. pustulosus (Ehara), 29. O. ununguis(Jacobi), 30. O. sp. 31. Tetranychus kanzawai Kishida, 32. T. phaselus Ehara, 33. T. truncatus Ehara, 34. T. urticae Koch, 35. T. vienensis Zacher, 36. Aegyptobia nothus Pritchard et Baker, 37. Pentamerismus taxi (Haller), 38. P. oregonensis McGregor, 39. Brevipalpus californicus(Banks), 40. B. lewisi McGregor, 41. B. obovatus Donnadieu, 42. Tenuipalpus zhizhilashviliae Reck. On the above species, a taxanomic key was made and ecological data including distribution and host plant are presented in this paper.

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