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QUOTIENTS OF THETA SERIES AS RATIONAL FUNCTIONS OF j(sub)1,8

  • Hong, Kuk-Jin;Koo, Ja-Kyung
    • 대한수학회지
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    • 제38권3호
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    • pp.595-611
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    • 2001
  • Let Q(n,1) be the set of even unimodular positive definite integral quadratic forms in n-variables. Then n is divisible by 8. For A[X] in Q(n,1), the theta series $\theta$(sub)A(z) = ∑(sub)X∈Z(sup)n e(sup)$\pi$izA[X] (Z∈h (※Equations, See Full-text) the complex upper half plane) is a modular form of weight n/2 for the congruence group Γ$_1$(8) = {$\delta$∈SL$_2$(Z)│$\delta$≡()mod 8} (※Equation, See Full-text). If n$\geq$24 and A[X], B{X} are tow quadratic forms in Q(n,1), the quotient $\theta$(sub)A(z)/$\theta$(sub)B(z) is a modular function for Γ$_1$(8). Since we identify the field of modular functions for Γ$_1$(8) with the function field K(X$_1$(8)) of the modular curve X$_1$(8) = Γ$_1$(8)\h(sup)* (h(sup)* the extended plane of h) with genus 0, we can express it as a rational function of j(sub) 1,8 over C which is a field generator of K(X$_1$(8)) and defined by j(sub)1,8(z) = $\theta$$_3$(2z)/$\theta$$_3$(4z). Here, $\theta$$_3$ is the classical Jacobi theta series.

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Effect of Stage of Maturity and Cultivars on the Digestibility of Whole Maize Plant and its Morphological Fractions

  • Firdous, R.;Gilani, A.H.
    • Asian-Australasian Journal of Animal Sciences
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    • 제12권8호
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    • pp.1228-1233
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    • 1999
  • A study was conducted on four maize cultivars to determine the dry matter and fibre digestibility as influenced by advancing plant age. Samples of maize cultivars Akbar, Neelum, UM-81 and IZ-31 were harvested at weekly intervals/ growth stages. The samples of morphological fractions such as leaf and stem were also collected at various growth stages. Whole mixed fodder and different fractions of maize plant were analysed for their chemical composition and in vitro digestibility. The results showed that in vitro dry matter digestibility (IVDMD) of whole maize plant, leaf and stem decreased significantly with advancing stage of maturity. Digestibility of NDF, ADF, hemicellulose and cellulose decreased significantly in all plant parts with advancing plant age/growth stages. Maximum values for the digestibility of dry matter and various cell wall constituents were observed in leaf, followed by whole plant and stem fractions. Cultivars were observed to have significant effect of IVDMD and digestibility of NDF, ADF and cellulose in all plant fractions. The results indicated that digestibility of maize fodder was affected by stage of maturity and cultivars. However, maturity had a greater effect on digestibility in all plant fractions than did cultivars. Dry matter contents were found to be significantly and negatively correlated with IVDMD of whole plant and its leaf and stem fractions. Based on correlations, regression equations were computed to predict IVDMD.

Antinociceptive, antidiarrhoeal and cytotoxic activity of Aegiceras corniculatum

  • Ahmed, F;Mamun, AH AI;Shahid, IZ;Rahman, AA;Sadhu, SK
    • Advances in Traditional Medicine
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    • 제7권2호
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    • pp.191-196
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    • 2007
  • The ethanol extract of leaves of the mangrove Aegiceras corniculatum Blanco (Myrsinaceae) was screened for its antinociceptive, antidiarrhoeal and cytotoxic activities. The extract produced significant writhing inhibition in acetic acid-induced writhing in mice at the oral dose of 250 and 500 mg/kg body weight (P < 0.001), which was comparable to the standard drug diclofenac sodium at the dose of 25 mg/kg of body weight. When tested for its antidiarrhoeal effects on castor oil induced diarrhoea in mice, it increased mean latent period and decreased the frequency of defecation significantly at the oral dose of 500 mg/kg body weight (P<0.05; P<0.01) comparable to the standard drug loperamide at the dose of 50 mg/kg of body weight. Moreover, when tested for toxicity using brine shrimp, the extract showed potent activity against the brine shrimp Artemia salina ($LC_{50}$ 10 mg/ml). The overall results tend to suggest the antinociceptive, antidiarrhoeal and cytotoxic activities of the extract.

Pharmacological studies on roots of Achyranthes aspera Linn

  • Shahid IZ;Moniruzzaman M;Das AK;Choudhuri MSK;Ahmed Firoj
    • Advances in Traditional Medicine
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    • 제6권3호
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    • pp.202-207
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    • 2006
  • The crude methanol extract of the roots of Achyranthes aspera Linn. was investigated for its possible antinociceptive, diuretic and neuropharmacological activities in animal models. At the dose of 250 and 500 mg/kg body weight, the extract showed a significant antinociceptive effect in acetic acid induced-writhing in mice comparable to that produced by diclofenac sodium, used as standard drug. The crude extract produced significant diuretic effect at the dose of 500 mg/kg of body weight comparable to that produced by furosemide, used as standard drug. The extract also potentiated significantly the pentobarbital induced sleeping time in mice; decreased the open field score in open field test, decreased the number of hole crossed from one chamber in the hole cross test and decreased the head dip responses. The obtained results provide a support for the use of this plant in traditional medicine and its further investigation.

Free radical scavenging activity of some Mangroves available in Bangladesh

  • Ahmed, Firoj;Shahid, IZ;Razzak, MA;Rahman, M Mostafizur;Hoque, Tahmina;Rahman, MT;Sadhu, SK
    • Advances in Traditional Medicine
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    • 제6권1호
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    • pp.58-64
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    • 2006
  • The crude alcoholic extracts of various parts of five different Bangladeshi mangrove plants (Amoora cucullata, Caesalpinia bonducella, Cerbera odollam, Derris uliginosa and Sonneratia caseolaris) were screened in-vitro for anti-oxidant activity using the 1,1-diphenyl-2-picryldydrazyl-hydrate (DPPH) free radical scavenging assay. Of all of them, the ethanolic extracts of the leaves of Derris uliginosa and Sonneratia caseolaris showed potential antioxidant activity ($IC_{50}$: 94.406 and 26.30 mg/ml respectively) whereas the ethanolic extracts of aerial parts of Derris uliginosa, barks of Cerbera odollam and leaves and stems of Caesalpinia bonducella showed moderate activity ($IC_{50}$: 125.89, 211.35 and 301.99 mg/ml respectively). Mild anti-oxidant activity was observed with the methanolic extract of leaves of Amoora cucullata and ethanolic extracts of fruits of Cerbera odollam.

Novel Maritime Wireless Communication based on Mobile Technology for the Safety of Navigation: LTE-Maritime focusing on the Cell Planning and its Verification

  • Shim, Woo-Seong;Kim, Bu-Young;Park, Chan-Yong;Lee, Byeong-Hyeok
    • 한국항해항만학회지
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    • 제45권5호
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    • pp.231-237
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    • 2021
  • Enhancing the performance of maritime wireless communication has been highlighted by the issue of cell planning in the sea area because of lack of an appropriate Propagation Loss Model (PLM). To resolve the cell planning issue in vast sea areas, it was essential to develop the (PLM) matching the intended sea area. However, there were considerable gaps between the prediction of legacy PLMs and field measurement in propagation loss and there was a need to develop the adjusted PLM (A-PLM). Therefore, cell planning was performed on this adjusted model, including modification of the base station's location, altitude, and antenna azimuth to meet the quality objectives. Furthermore, in order to verify the availability of the cell planning, Communication Service Quality Monitoring System (CS-QMS) was developed in the LTE-Maritime project to collect LTE signal quality information from the onboard equipment at regular intervals and to ensure that the service quality was high enough to satisfy the goals in each designated grid. As a result of verification, the success rate of RSRP was 95.7% for the intensive management zone (IMZ) and 96.4% for the interested zone (IZ), respectively.

The Effects of Liquid Butadiene Rubber and Resins as Processing Aids on the Physical Properties of SSBR/Silica Compounds

  • Iz, Muhammet;Kim, Donghyuk;Hwang, Kiwon;Kim, Woong;Ryu, Gyeongchan;Song, Sanghoon;Kim, Wonho
    • Elastomers and Composites
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    • 제55권4호
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    • pp.289-299
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    • 2020
  • Highly aromatic (HA) oils are common processing aids used in tire tread compounds. However, they often bleed and evaporate from the vulcanizates during tire use. Thus, the mechanical and dynamical properties of the tire decrease. To overcome this problem, we investigated nonfunctionalized liquid butadiene rubber (LBR-305, Kuraray) and center-functionalized liquid butadiene rubber (C-LqBR), polymerized by anionic polymerization. In addition to the liquid butadiene rubbers, p-tert-octylphenol (P-Resin) and C5 hydrocarbon (H-Resin) tackifier resins, which can induce entanglement of rubber compounds, were researched as a processing aid to solve the bleeding problem. Liquid butadiene rubbers have significantly reduced extraction loss by crosslinking with the main rubber chain. They have also increased the abrasion resistance and showed similar or better mechanical and dynamical properties against HA oils. However, resin compounds did not show differences in extraction loss compared to HA oil compounds; instead, they showed increased wet traction.

Development of SQUEAN (SED Camera for Quasars in Early Universe)

  • Kim, Sanghyuk;Pak, Soojong;Lee, Hye-In;Park, Woojin;Hyun, Minhee;Im, Myunshin;Choi, Changsu;Shin, Sang-Kyo;Bok, Min-Gab
    • 천문학회보
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    • 제40권1호
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    • pp.51.4-52
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    • 2015
  • From 2010 to 2014, CQUEAN (Camera for QUasars in EArly uNiverse) has been operated for the observation at the 82 inch Otto Struve Telescope of the McDonald Observatory, US. This camera is optimized at wavelength range of 0.7 - 1.1 um with seven (g', r', I', z', Y, Iz and Is) broad-band filters for the survey of high redshift (z > 5) quasars in the early universe. We are upgrading this system to identify more details of SED (Spectral Energy Distribution) of quasar candidates and other astronomical sources. The SQUEAN is comprised of a focal reducer, a CCD camera, a new filter wheel, new auto guiding system and new control software. The new filter wheel consists of interchangeable cartridges for various wavelength and size of filters. 50 nm medium bandwidth filters from 600 - 1050 nm, seven SDSS (Sloan Digital Sky Survey) filters and Johnson-Cousin BVRI filters are installed for now. We also have a plan to use narrow band interference filters to classify high redshift quasars or to obtain SEDs of interesting astronomical sources in details more efficiently. We also developed KAP82 (Kyung Hee University Auto guiding Package for 82 inch telescope) for auto guiding software. CQUEAN and SQUEAN have been developed by CEOU (Center for the Exploration of the Origin of the Universe).

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Ileal Amino Acid Digestibility of Broken Rice Fed to Postweaned Piglets with or without Multicarbohydrase and Phytase Supplementation

  • Dadalt, J.C.;Gallardo, C.;Polycarpo, G.V.;Budino, F.E.L.;Rogiewicz, A.;Berto, D.A.;Trindade Neto, M.A.
    • Asian-Australasian Journal of Animal Sciences
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    • 제29권10호
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    • pp.1483-1489
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    • 2016
  • Most of amino acid (AA) digestibility values for feed ingredients are obtained using pigs cannulated in the distal ileum. The ileal-cannulated pig model uses pigs older than six weeks due to difficulties related to implanting the T-cannula in distal ileum of younger pigs and complications during the post-surgical recovery. However, to properly formulate the diet of weaned pigs, the nutritive value of feed ingredients should be determined with younger pigs. Thus, 25 weaned pigs were used to determine the apparent total tract digestibility (ATTD) of nutrients, energy, and apparent ileal digestibility (AID) and standardized ileal digestibility (SID) ileal AA digestibility of broken rice (BR), with or without multicarbohydrase (MC) and phytase (Phy) supplementation. Piglets were weaned at 23 d of age and individually housed in digestibility cages until 45 d of age. The trial consisted of 7 d of adaptation to the experimental diets and 3 d of excreta (feces and urine) collection. Ileal digesta was collected at slaughter (about 6 weeks of age). A completely randomized experimental design was used to determine the effects of MC and Phy. Reference diets (RD, 5% casein) was replaced by 30% of BR with or without MC, Phy, or MC+Phy. The RD was used to quantify endogenous AA losses. BR with Phy supplied had increased the ATTD of dry matter (p<0.05) and SID of histidine (p = 0.05), arginine, leucine, lysine, valine, alanine, and proline (p<0.05). BR with MC had been increased digestible energy and protein and SID for histidine (p<0.05). There was no interaction between Phy and MC on the BR nutrient digestibilities. Standardized amino acid digestibilities of BR, without enzymes, were lower than those values reported in the literature. The MC and Phy improved the digestibility of some nutrients and energy of BR in post-weaned piglet diets.

Yorkshire종 돼지에서 PCR-RFLP을 이용한 Estrogen Receptor의 유전적 다형과 산자수간의 관련성 (Association of Genetic Polymorphisms of Estrogen Receptor with Litter Size using PCR-RFLP in Yorkshire Swine)

  • 김지은;송원철;최봉도;고용;박성수;홍기창
    • Journal of Animal Science and Technology
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    • 제45권4호
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    • pp.523-528
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    • 2003
  • 본 연구는 PvuII PCR-RFLP를 이용하여 Yorkshire종 돼지에서 Estrogen Receptor의 유전적 다형과 산자수간의 관련성을 분석하기 위하여 수행되었다. 무창 돈사에서 사육중인 242두의 종빈돈으로부터 혈액을 채취하여 PvuII PCR- RFLP로 ER 유전자형을 결정하였다. ER 유전자 좌위에서 유전자 빈도는 각각 0.39(A)와 0.61(B)였다. ER 유전자형별 산자수에 대한 효과는 최소제곱평균을 설명하는 고정모형을 설정하여 추정하였다. 분석결과 복당 총산자수와 실산자수에서 특정 ER 대립유전자(B)에서 산자수 증진효과가 관찰되었다. 따라서 돼지 ER 좌위의 유전적 변이는 번식돈의 산자수 증대와 관련된 marker-assisted selection(MAS)에 응용될 수 있을 것으로 사료된다.