• Title/Summary/Keyword: central series

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A NEW PROOF OF THE EXTENDED SAALSCHÜTZ'S SUMMATION THEOREM FOR THE SERIES 4F3 AND ITS APPLICATIONS

  • Choi, Junesang;Rathie, Arjun K.;Chopra, Purnima
    • Honam Mathematical Journal
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    • v.35 no.3
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    • pp.407-415
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    • 2013
  • Very recently, Rakha and Rathie obtained an extension of the classical Saalsch$\ddot{u}$tz's summation theorem. Here, in this paper, we first give an elementary proof of the extended Saalsch$\ddot{u}$tz's summation theorem. By employing it, we next present certain extenstions of Ramanujan's result and another result involving hypergeometric series. The results presented in this paper are simple, interesting and (potentially) useful.

Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]

  • CHOI, JUNESANG;WANG, XIAOXIA;RATHIE, ARJUN K.
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.439-447
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    • 2015
  • Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series $F^{(3)}$(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric series. In this sequel, we also present three more interesting reduction formulas for the function $F^{(3)}$(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.

Can central venous access device care bundles and regular feedback reduce central line-associated complications in pediatric patients?

  • Chaiyakulsil, Chanapai;Pharadornuwat, Onsuthi
    • Clinical and Experimental Pediatrics
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    • v.64 no.3
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    • pp.123-129
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    • 2021
  • Background: The use of indwelling central venous access devices (CVADs) in children can result in complications such as infection, occlusion, and dislodgement. Purpose: To evaluate whether reinforcing CVAD care bundles by using a regular direct feedback system could reduce such complications in children. Methods: The intervention in this retrospective interrupted time-series study was initiated in January 2019. The study was divided into the preintervention (October-December 2018), 3-month postintervention (January-March 2019), and 6-month postintervention (April-June 2019) phases. Risk difference and Poisson regression analyses were used to illustrate the effectiveness of the intervention. Results: The hospital-wide central line-related bloodstream infection rate decreased from 10.0/1,000 catheter-days to 4.5/1,000 catheter-days at 3-month postintervention (P=0.39) and to 1.4/1,000 catheter-days at 6-month postintervention (P=0.047). The central line occlusion rate significantly decreased from 30% to 12.8% (P=0.04) and 8.3% (P=0.002) at 3 and 6 months, respectively. Approximately 7% of CVADs became dislodged during the preintervention phase versus 8.5% (P=0.364) and 3.3% (P=0.378) at 3 and 6 months, respectively. Conclusion: Reinforcing CVAD care bundles with direct feedback could significantly decrease CVAD-associated complications in terms of infection at 6-month postintervention, and occlusion at 3- and 6-month postintervention. Thus, reinforcement and regular direct feedback might improve care quality in children with CVADs.

The Overview of Layered structures in Mafic - Ultramafic Macheon Intrusion (고철질-초고철질 마천관입암의 층상구조 개관)

  • Song, Yong-Sun;Kim, Dong-Yeon;Park, Kye-Hun
    • The Journal of the Petrological Society of Korea
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    • v.16 no.3
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    • pp.162-179
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    • 2007
  • Macheon Layered Intrusion (MLI) which intruded into Precambrian gneiss complex of the northern Jirisan area, southeastern part of Youngnam (or Sobaeksan) Massif, is a layered mafic-ultramafic complex of Triassic age (ca. 223 Ma). The MLI is divided into Layered Series and Laminated Series. Layered Series is subdivided into Central Zone (Lower Zone) consisting of olivine gabbros and Peripheral Zone (Middle or Upper Zone) consisting of hornblende gabbros based on the type of cumulus texture and the main mafic phase. The Central Zone of Layered Series comprises thinly laminated olivine gabbros and uniform or thickly laminated coarse olivine gabbros which consist of mela-gabbro, troctolite, leuco-troctolite, and anorthositic rocks. Laminated Series is also subdivided into quartz-bearing biotite-pyroxene gabbros and homblende diorite and both have variable amount of interstitial quartz and microcline. Laminated series display moderately to slightly developed igneous lamination which is defined by the planar alignment of lath-shape plagioclases. Chilled margin of quartz-bearing biotite-pyroxene gabbro with surrounding Precambrian gneisses insists shallower intrusion of more felsic cognate magma evolved in the deep a little later. Rocks of Layered Series have orthocumulus to adcumulus olivine, adcumulus to intercumulus plagioclase, and intercumulus to heteradcumulus pyroxene and hornblende. Magmatic modally grading, folding, and cross-lamination are not rarely occurred in thinly layered rocks. These textural characteristics define main mechanisms of the formation of layered and laminated structure in mafic-ultramafic rocks of Macheon Layered Intrusion are gravity settling and in-situ crystallization associated with slumping and density current.

Charge-Transfer Complex Formation between Stilbenes and 7,7,8,8-Tetracyanoquinodimethane

  • Jin, Jung-Il;Kim, Joon-Seop;Kim, Jeong-Deuk
    • Bulletin of the Korean Chemical Society
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    • v.9 no.3
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    • pp.167-171
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    • 1988
  • Formation of intermolecular charge-transfer complexes between 7,7,8,8-tetracyanoquinodimethane (TCNQ) and two different series of stilbene derivatives has been studied spectroscopically at $25^{\circ}$C in 1,2-dichloroethane. The compounds of Series I include stilbene and derivatives which have fused phenyl rings on one end of the central ethylene structure and a phenyl ring on the other end. The other Series, II, is comprised of stilbenes which have various para substituents on one of the two phenyl rings. The equilibrium constant, $K_c^{AD}$ and the molar extinction coefficient, ${\varepsilon}_{\lambda}^{AD}$, were determined using the Scott equation. The values of the charge-transfer transition frequency, ${\vu}_AD$ and $K_c{AD}$ correlated well respectively with the ionization potentials of the fused rings of Series Ⅰ or of the compounds of Series II and with the values of ${\sigma}_p$, the Hammett constants of the Series II substituents. trans-4-N,N-Dimethylaminostilbene and trans-4-nitrostilbene were found to be able to participate in electron transfer reaction with TCNQ forming the corresponding anion radical, TCNQ$^-$:

Moving Path Tracing of Image Central Position with Autocorrelation Function

  • Kim, Young-Bin;Ryu, Kwang-Ryol;Sclabassi, Robert J.
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.05a
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    • pp.302-305
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    • 2008
  • For an complete image composition to be stitched on several mosaic images, tracing displacement of direction and distance between successive images are important parameters. The input image is modeled by using a general second order two-dimensional Taylor-series and then converting it to a $3{\times}3$ correlation block and storing the data. A moving factor and coordinate is calculated by comparing the continuous correlation blocks. The experimentation result has a success rate of 85% for moving path tracing as continuous images are moved to 10% of image central position.

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Increment of HTS Magnet's Central Magnetic Field Made of Pancake Windings by Using Separate Sources (여러개의 전원을 이용한 팬케이크 권선으로 구성된 고온초전도 마그넷의 중심자장 증가)

  • Lee, Kwang-Youn;Cha, Guee-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.9
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    • pp.1577-1583
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    • 2007
  • The development of a magnet for very high magnetic field is usually envisioned with the use of an HTS insert coil. Pancake windings have been commonly used for the insert coil. All pancake windings have been connected in series and excited by a single power source. In that case, it is inevitable to operate some of the pancake windings well below their critical current densities. To increase the central magnetic field of the magnet, this paper proposed a new excitation method of the pancake windings by exciting the pancakes windings independently using multiple power sources. Results of the calculation show proposed method increases the central magnetic field of the magnet which consisted of 8 pancake windings by 17% comparing with excitation by using a single power source.

A novel cis/trans-diaminocyclohexane platinum coordination complexes possessing in vitro and in vivo antitumor activity

  • Jung, Jee-Chang;Chang, Sung-Goo;Lee, Kyung-Tae;Park, Young-Soo;Lee, Joo-Han;Lee, Kyou-Heung;Kim, Sang-Lin
    • Proceedings of the Korean Society of Applied Pharmacology
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    • 1997.04a
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    • pp.101-101
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    • 1997
  • As part of a drug discovery program to develope more effective platinum-based anticancer drugs, a series of platinum complexes trans -diaminocyclohexane platinum bi sdiphenylphosphino -ethane (KHPC-002) cis-diaminocyclohexane platinum bisdiphenylphosphino-ethane (KHPC-006) has been evaluated in vitro against 4 human carcinoma cell lines with those of cisplatin using a tetrazolium-based colorimetric assay (MTT assay). The cell lines were two human bladder carcinoma cell lines, HT-1197 and HT-1376, human colon carcinoma cell line, HCT-116, and prostate cancer cell line DU-145.

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A novel cis/trans-diaminocyclohexane platinum coordination complexes possessing in vitro and in vivo antitumor activity

  • Jung, Jee-Chang;Chang, Sung-Goo;Lee, Kyung-Tae;Park, Young-Soo;Lee, Joo-Han;Lee, Kyou-Heung;Kim, Sang-Lin
    • Proceedings of the Korean Society of Applied Pharmacology
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    • 1997.04a
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    • pp.111-111
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    • 1997
  • As part of a drug discovery program to develope more effective platinum-based anticancer drugs, a series of platinum complexes trans-diaminocyclohexane platinum bi sdiphenylphosphino - ethane ( KHPC- 002) cis-diaminocyclohexane platinum bi sdiphenylphosphino - ethane ( KHPC- 006) has been evaluated in vitro against 4 human carcinoma cell lines with those of cisplatin using a tetrazolium-based colorimetric assay (MTT assay). The cell lines were two human bladder carcinoma cell lines, HT-1197 and HT-1376, human colon carcinoma cell line, HCT-116, and prostate cancer cell line DU-145. in vitro cytotoxic potential of each platinum complex was expressed as the cytotoxicity index (Cl, %).

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