• Title/Summary/Keyword: Sin

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EVALUATIONS OF THE IMPROPER INTEGRALS ${\int}_0^{\infty}$[sin$^{2m}({\alpha}x)]/(x^{2n})dx$ AND ${\int}_0^{\infty}$[sin$^{2m+1}({\alpha}x)]/(x^{2n+1})dx$

  • Qi, Feng;Luo, Qiu-Ming;Guo, Bai-Ni
    • The Pure and Applied Mathematics
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    • v.11 no.3
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    • pp.189-196
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    • 2004
  • In this article, using the L'Hospital rule, mathematical induction, the trigonometric power formulae and integration by parts, some integral formulae for the improper integrals ${\int}_0^{\infty}$[sin$^{2m}({\alpha}x)]/(x^{2n})dx$ AND ${\int}_0^{\infty}$[sin$^{2m+1}({\alpha}x)]/(x^{2n+1})dx$ are established, where m $\geq$ n are all positive integers and $\alpha$$\neq$ 0.

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Protection of Peroxynitrite-Induced DNA Damage by Dietary Antioxidants

  • Moon Hye-Kyung;Yang Eun-Sun;Park Jeen-Woo
    • Archives of Pharmacal Research
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    • v.29 no.3
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    • pp.213-217
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    • 2006
  • The present study was undertaken to test the hypothesis that dietary antioxidants protect DNA damage induced by peroxynitrite, a potent physiological inorganic toxin. The present study showed that dietary antioxidants such as (-)-epigallocatechin gallate, quercerin, rutin, resveratrol, and ursolic acid inhibit single strand breaks in supercoiled plasmid DNA induced by 3-morpholinosydnomine N-ethylcarbamide (SIN-1), a generator of peroxynitrite through the reaction between nitric oxide and superoxide anion. The formation of 8-hydroxy-2'-deoxyguanosine (8-OH-dG) in calf thymus DNA by SIN-1 was also inhibited by dietary antioxidants. When U937 cells were incubated with 1 mM SIN-1 bolus, a significant increase of 8-OH-dG level was observed. However, oxidative DNA damage was significantly lower in the cells pre-treated with dietary antioxidants when cells were exposed to SIN-1.

VOLUMES OF GEODESIC BALLS IN HEISENBERG GROUPS ℍ5

  • Kim, Hyeyeon
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.3
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    • pp.349-363
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    • 2019
  • Let ${\mathbb{H}}^5$ be the 5-dimensional Heisenberg group equipped with a left-invariant metric. In this paper we calculate the volumes of geodesic balls in ${\mathbb{H}}^5$. Let $B_e(R)$ be the geodesic ball with center e (the identity of ${\mathbb{H}}^5$) and radius R in ${\mathbb{H}}^5$. Then, the volume of $B_e(R)$ is given by $${\hfill{12}}Vol(B_e(R))\\{={\frac{4{\pi}^2}{6!}}{\left(p_1(R)+p_4(R){\sin}\;R+p_5(R){\cos}\;R+p_6(R){\displaystyle\smashmargin{2}{\int\nolimits_0}^R}{\frac{{\sin}\;t}{t}}dt\right.}\\{\left.{\hfill{65}}{+q_4(R){\sin}(2R)+q_5(R){\cos}(2R)+q_6(R){\displaystyle\smashmargin{2}{\int\nolimits_0}^{2R}}{\frac{{\sin}\;t}{t}}dt}\right)}$$ where $p_n$ and $q_n$ are polynomials with degree n.

Original Antigenic Sin Response to RNA Viruses and Antiviral Immunity

  • Mee Sook Park;Jin Il Kim;Sehee Park;Ilseob Lee;Man-Seong Park
    • IMMUNE NETWORK
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    • v.16 no.5
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    • pp.261-270
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    • 2016
  • The human immune system has evolved to fight against foreign pathogens. It plays a central role in the body's defense mechanism. However, the immune memory geared to fight off a previously recognized pathogen, tends to remember an original form of the pathogen when a variant form subsequently invades. This has been termed 'original antigenic sin'. This adverse immunological effect can alter vaccine effectiveness and sometimes cause enhanced pathogenicity or additional inflammatory responses, according to the type of pathogen and the circumstances of infection. Here we aim to give a simplified conceptual understanding of virus infection and original antigenic sin by comparing and contrasting the two examples of recurring infections such as influenza and dengue viruses in humans.

A Study on the Basic Planning of the Nam-Hae Sin-Sa Architecture (남해신사 기본계획에 따른 신당건축 고찰)

  • Kim, Sang Tae;Jang, Hun Duc
    • Korean Journal of Heritage: History & Science
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    • v.42 no.2
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    • pp.62-85
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    • 2009
  • The Nam-Hae Sin-sa, the South Sea shrine in Yeong-Am, Korea was a national institution for public peace and bliss, was excavated in 2000, and the shrine and the 3-way-gate were reconstructed in 2001. Hae Sin-sa, the Sea shrine is a place for religious service separated into the Nam-Hae Sin-sa, the Dong-Hae Myo, and the Seo-Hae Dan. The Dong-Hae Myo was reconstructed, but restored shrine and 3-way-gate of the Nam-Hae Sin-sa is not perfect in comparison with excavation plan in 2000, therefore new reconstruction was researched through the related literature, the analysis of historical maps and excavation results, the interview with the concerned people and the case study. This research defines the analysis of the Plan of the Nam-Hae Sin-sa Reconstruction as follows. 1. The Nam-Hae Sin-sa was the institution for religious service operated by national direct management, represents the shrine for public peace and bliss on the Mountain, the Sea, and the River. Especially the Nam-Hae Sin-sa had an important position on the pivot of international trade with China and Japan, and had a role of main shrine with another one in the Mt. Ji-ri San. 2. The name of the Sea shrine was called as Nam-Hae Sin-sa(the South Sea shrine), Dong-Hae Myo(the East Sea shrine), Seo-Hae Dan(the West Sea shrine). But the name of the South Sea shrine had changed in the early period of Chosun as Nam-Hae Sin-sa to the later Chosun as Nam-Hae Dang through the research of related literature and historical map. Such as the Seo-Hae Dan, it was constructed for the Dan, the flat raised-floor without buildings, and changed to the type of Sa-Dang with addition of buildings. 3. The historical map of Hae Sin-sa informs the types of the roof, the Mat-bae roof was used in the Dong-Hae Myo, but the Pal-jak roof was showed in the Seo-Hae Dan and the Nam-Hae Sin-sa. 4. According to the analysis of Yong-Ch'uck the unit length, Nam-Hae Sin-sa was reconstructed in the period of Koryo on large scale, but it was restored in the Chosun on middle scale. And the Unit of Yong Ch'uck was changed into Yeong-jo Ch'uck in the period of Chosun. 5. As the results, The Plan of the Nam-Hae Sin-sa Reconstruction designed the new shrine into the 3 Kan front and the 2 Kan side with 3:2 scale. An-ch'o-gong with Yong-du and Yong Mi the ornaments represents head and tail of dragon, the Un-gong and the ornament of Pa-ryun-dae-gong in the building, and the Ch'ung-ryang of the Yong-du show the image of the institution for religious service for the god of the sea who look like dragon. The inner gate building and the main entrance were designed as same plan and scale as Hyang-gyo, the Korean Traditional School and Shrine of Confucianism, on the basis of results of excavation. Raise the 3-tall gate of the main entrance with harmony of the scale and the shape, because the side of gate building has the Mat-bae roof. 6. This research shows that Plan of the Nam-Hae Sin-sa Reconstruction is composed into shrine space and reservation space from the main entrance to inner gate and shrine like Jung-ak Dan in the Mt. Gye-ryong San, and it also informs the well in the west side of Sin-sa is an important factor of the plan of shrine architecture.