• Title/Summary/Keyword: E3A

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DECOMPOSITION FORMULAS AND INTEGRAL REPRESENTATIONS FOR THE KAMPÉ DE FÉRIET FUNCTION F0:3;32:0;0 [x, y]

  • Choi, Junesang;Turaev, Mamasali
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.679-689
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    • 2010
  • By developing and using certain operators like those initiated by Burchnall-Chaundy, the authors aim at investigating several decomposition formulas associated with the $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ function $F_{2:0;0}^{0:3;3}$ [x, y]. For this purpose, many operator identities involving inverse pairs of symbolic operators are constructed. By employing their decomposition formulas, they also present a new group of integral representations of Eulerian type for the $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ function $F_{2:0;0}^{0:3;3}$ [x, y], some of which include several hypergeometric functions such as $_2F_1$, $_3F_2$, an Appell function $F_3$, and the $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ functions $F_{2:0;0}^{0:3;3}$ and $F_{1:0;1}^{0:2;3}$.

A Variable Latency Newton-Raphson's Floating Point Number Reciprocal Square Root Computation (가변 시간 뉴톤-랍손 부동소수점 역수 제곱근 계산기)

  • Kim Sung-Gi;Cho Gyeong-Yeon
    • The KIPS Transactions:PartA
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    • v.12A no.5 s.95
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    • pp.413-420
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    • 2005
  • The Newton-Raphson iterative algorithm for finding a floating point reciprocal square mot calculates it by performing a fixed number of multiplications. In this paper, a variable latency Newton-Raphson's reciprocal square root algorithm is proposed that performs multiplications a variable number of times until the error becomes smaller than a given value. To find the rediprocal square root of a floating point number F, the algorithm repeats the following operations: '$X_{i+1}=\frac{{X_i}(3-e_r-{FX_i}^2)}{2}$, $i\in{0,1,2,{\ldots}n-1}$' with the initial value is '$X_0=\frac{1}{\sqrt{F}}{\pm}e_0$'. The bits to the right of p fractional bits in intermediate multiplication results are truncated and this truncation error is less than '$e_r=2^{-p}$'. The value of p is 28 for the single precision floating point, and 58 for the double precision floating point. Let '$X_i=\frac{1}{\sqrt{F}}{\pm}e_i$, there is '$X_{i+1}=\frac{1}{\sqrt{F}}-e_{i+1}$, where '$e_{i+1}{<}\frac{3{\sqrt{F}}{{e_i}^2}}{2}{\mp}\frac{{Fe_i}^3}{2}+2e_r$'. If '$|\frac{\sqrt{3-e_r-{FX_i}^2}}{2}-1|<2^{\frac{\sqrt{-p}{2}}}$' is true, '$e_{i+1}<8e_r$' is less than the smallest number which is representable by floating point number. So, $X_{i+1}$ is approximate to '$\frac{1}{\sqrt{F}}$. Since the number of multiplications performed by the proposed algorithm is dependent on the input values, the average number of multiplications Per an operation is derived from many reciprocal square root tables ($X_0=\frac{1}{\sqrt{F}}{\pm}e_0$) with varying sizes. The superiority of this algorithm is proved by comparing this average number with the fixed number of multiplications of the conventional algorithm. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a reciprocal square root unit. Also, it can be used to construct optimized approximate reciprocal square root tables. The results of this paper can be applied to many areas that utilize floating point numbers, such as digital signal processing, computer graphics, multimedia, scientific computing, etc.

Seasonal Occurrence and Attraction of Egg Parasitoid of Bugs, Ooencyrtus nezarae, to Aggregation Pheromone of Bean Bug, Riptortus clavatus (톱다리개미허리노린재의 집합페로몬에 의한 노린재류의 난기생봉 Ooencyrtus nezarae의 유인과 발생소장)

  • Huh Wan;Park Chung-Gyoo
    • Korean journal of applied entomology
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    • v.44 no.2
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    • pp.131-137
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    • 2005
  • Seasonal occurrence of the egg parasitoid of bugs, Ooencyrtus nezarae (Hymenoptera: Encyrtidae), was monitored at soybean fields and university campus using traps baited with aggregation pheromone of bean bug, Riptortus clavatus, in Jinju, Gyeongnam province, Korea. The female O. nezarae captured at university campus in 2003 and 2004 was 317.5 and 103.4 times as many as males, respectively, and it was 12.6 times at soybean field in 2004. The female began to occur from late August, showing its peak around September 20 at soybean field in 2004. At university campus in 2003 and 2004, the female began to occur from mid or late August, and showed its peak early or mid September. At the two monitoring sites the catches of female sharply declined after October The E2HZ3H only showed attractiveness to O. nezarae, among three components of the aggregation pheromone of bean bug, (E)-2-hexenyl (Z)-3-hexenoate (E2HZ3H), (E)-2-hexenyl (E)-2-hexenoate (E2HE2H), and myristyl isobutyrate (MI). A mixture in a ratio of 20:20:10 or 16.7:16.7:16.7 of E2HZ3H:E2HE2H:MI attracted significantly more females than the mixture of 7:36:7 ratio did. This higher attractiveness of the former two blends may be attributed to the higher amounts of E2HZ3H in the blends.

A Potential Cytotoxic Principle of Zingiber cassumunar

  • Han, Ah-Reum;Lee, Eun-Jin;Min, Hye-Young;Kim, Hyang-Rim;Lee, Sang-Kook;Seo, Eun-Kyoung
    • Natural Product Sciences
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    • v.9 no.2
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    • pp.109-111
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    • 2003
  • A bioassay-guided fractionation of the active chloroform extracts of the rhizomes of Zingiber cassumunar Roxb. led to the isolation of a potential cytotoxic principle, curcumin (1), along with two inactive compounds, (E)-4-(3',4'- dimethoxyphenyl)but-3-en-1-ol (2) and (E)-4- (3',4'-dimethoxyphenyl)but-3-en-1- yl acetate (3). Curcumin (1) showed a significant cytotoxicity against several human cancer cell lines $(Col2;\;2.30,\;A549;\;12.30,\;SNU638;\;IC_{50}\;18.80\;{\mu}g/ml)$.

A5E promotes Cell growth Arrest and Apoptosis in Non Small Cell Lung Cancer

  • Bak, Ye Sol;Ham, Sun Young;O, Baatartsogt;Jung, Seung Hyun;Choi, Kang Duk;Han, Tae Young;Han, Il Young;Yoon, Do-Young
    • Journal of Applied Biological Chemistry
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    • v.57 no.2
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    • pp.113-122
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    • 2014
  • A5E is complex of several medicinal herb ethanol extracts. The aim of this study is investigating the anticancer effect for non-small cell lung cancer. The antitumor effects of A5E on NCI-H460 were examined by regulation of cell proliferation, apoptosis, cell cycle arrest, mitochondrial membrane potential (${\Delta}{\Psi}_m$), and apoptosis-related protein. Cell proliferation was measured by MTS assay. Apoptosis induced by A5E was confirmed by Annexin V-fluorescein isothiocyanate (FITC)/Propidium Iodide (PI) staining, and cell cycle arrest was measured by PI staining. NF-${\kappa}B$ translocation was detected by immunofluorescence and MMP (${\Delta}{\Psi}_m$) was measured by JC-1 staining. The expression of extrinsic pathway molecules such as FasL and FADD were elevated, and procaspase-8 was processed by A5E. In addition, intrinsic pathway related molecules were altered. The Bcl-2 and Bcl-xl levels decreased, Bax increased, and cytochrome C was released. In addition, the mitochondrial membrane potential collapsed, and caspase-3 and poly-(ADP-ribose) polymerase were processed by A5E. Moreover, A5E affected the cellular survival pathway involving phosphatidylinositol 3-kinase (PI3K)/Akt and NF-${\kappa}B$. PI3K and Akt were downregulated, also NF-${\kappa}B$ expression was decreased, and nuclear translocalization was inhibited by A5E. These results suggested that A5E delays proliferation, inhibit cell cycle progression and induce apoptosis in human lung cancer cell. We conclude that A5E is a potential anticancer agent for human lung carcinoma.

Comparison of the kinematic analysis of grand battement Jeté á la seconde in center between skilled and unskilled ballet majors (발레 숙련도에 따른 센터에서 Grand Battement Jeté á la seconde 동작의 운동학적 비교 분석)

  • Youm, Chang-Hong;Park, Young-Hoon;Seo, Kook-Woong;Yang, Chung-Mo
    • Korean Journal of Applied Biomechanics
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    • v.14 no.2
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    • pp.153-166
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    • 2004
  • The purpose of this study was to investigate time of the phase, angle of the right ankle, knee, and hip joint, lateral angle of the trunk, mediolateral displacement of COM, and vertical displacement of COM between two groups while executing grand battement $jet{\acute{e}}$ $\acute{a}$ la seconde in a center exercise setting through 3D video analysis. The subjects participated in this study were skilled and unskilled 6 female ballet majors in Busan, respectively. The conclusions are as follows: 1. The time of the phase 2 was faster than P3. It shows a significant difference(p<.05) for P1 and P4 between skilled and unskilled groups 2. The angle of He right ankle joint has a significant difference(p<.05) at E4 between skilled and unskilled groups. The angle of the right knee joint has no significant difference at all events between skilled and unskilled groups. The angle of the right hip joint has a significant difference(p<.001) at E3 between skilled and unskilled groups. 3. The lateral angle of the trunk has a significant difference(p<.05) at E1 and at E5 between skilled and unskilled groups. The skilled group of the lateral angle of the trunk was lower than the unskilled group. However the skilled group's lateral angle of the trunk was bigger than the unskilled group at E3. It has significant difference(p<.001) at E3 between skilled and unskilled groups. 4. The mediolateral displacement of COM has no significant difference at all events between skilled and unskilled groups. The vertical displacement of COM has a significant difference(p<.01) at E3 between skilled and unskilled groups.

A novel approach in voltage transient technique for the measurement of electron mobility and mobility-lifetime product in CdZnTe detectors

  • Yucel, H.;Birgul, O.;Uyar, E.;Cubukcu, S.
    • Nuclear Engineering and Technology
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    • v.51 no.3
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    • pp.731-737
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    • 2019
  • In this study, a new measurement method based on voltage transients in CdZnTe detectors response to low energy photon irradiations is applied to measure the electron mobility (${\mu}_e$) and electron mobility-lifetime product $({\mu}{\tau})_e$ in a CdZnTe detector. In the proposed method, the pulse rise times are derived from low energy photon response to 59.5 keV($^{241}Am$), 88 keV($^{109}Cd$) and 122 keV($^{57}Co$) ${\gamma}-rays$ for the irradiation of the cathode surface at each detector for different bias voltages. The electron $({\mu}{\tau})_e$ product was then determined by measuring the variation in the photopeak amplitude as a function of bias voltage at a given photon energy using a pulse-height analyzer. The $({\mu}{\tau})_e$ values were found to be $(9.6{\pm}1.4){\times}10^{-3}cm^2V^{-1}$ for $1000mm^3$, $(8.4{\pm}1.6){\times}10^{-3}cm^2V^{-1}$ for $1687.5mm^3$ and $(7.6{\pm}1.1){\times}10^{-3}cm^2V^{-1}$ for $2250mm^3$ CdZnTe detectors. Those results were then compared with the literature $({\mu}{\tau})_e$ values for CdZnTe detectors. The present results indicate that, the electron mobility ${\mu}_e$ and electron $({\mu}{\tau})_e$ values in CdZnTe detectors can be measured easily by applying voltage transients response to low energy photons, utilizing a fast signal acquisition and data reduction and evaluation.

Ginsenoside Rg3 protects against iE-DAP-induced endothelial-to-mesenchymal transition by regulating the miR-139-5p-NF-κB axis

  • Lee, Aram;Yun, Eunsik;Chang, Woochul;Kim, Jongmin
    • Journal of Ginseng Research
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    • v.44 no.2
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    • pp.300-307
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    • 2020
  • Background: Emerging evidence suggests that endothelial-to-mesenchymal transition (EndMT) in endothelial dysfunction due to persistent inflammation is a key component and emerging concept in the pathogenesis of vascular diseases. Ginsenoside Rg3 (Rg3), an active compound from red ginseng, has been known to be important for vascular homeostasis. However, the effect of Rg3 on inflammation-induced EndMT has never been reported. Here, we hypothesize that Rg3 might reverse the inflammation-induced EndMT and serve as a novel therapeutic strategy for vascular diseases. Methods: EndMT was examined under an inflammatory condition mediated by the NOD1 agonist, γ-d-glutamyl-meso-diaminopimelic acid (iE-DAP), treatment in human umbilical vein endothelial cells. The expression of EndMT markers was determined by Western blot analysis, real-time polymerase chain reaction, and immunocytochemistry. The underlying mechanisms of Rg3-mediated EndMT regulation were investigated by modulating the microRNA expression. Results: The NOD1 agonist, iE-DAP, led to a fibroblast-like morphology change with a decrease in the expression of endothelial markers and an increase in the expression of the mesenchymal marker, namely EndMT. On the other hand, Rg3 markedly attenuated the iE-DAP-induced EndMT and preserved the endothelial phenotype. Mechanically, miR-139 was downregulated in cells with iE-DAP-induced EndMT and partly reversed in response to Rg3 via the regulation of NF-κB signaling, suggesting that the Rg3-miR-139-5p-NF-κB axis is a key mediator in iE-DAP-induced EndMT. Conclusion: These results suggest, for the first time, that Rg3 can be used to inhibit inflammation-induced EndMT and may be a novel therapeutic option against EndMT-associated vascular diseases.

Chemical Constituents from Acer mandshuricum and Their Effects on the Function of Osteoblastic MC3T3-E1 Cells

  • Ding, Yan;Liang, Chun;Nguyen, Huu Tung;Choi, Eun-Mi;Kim, Jeong-Ah;Kim, Young-Ho
    • Bulletin of the Korean Chemical Society
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    • v.31 no.4
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    • pp.929-933
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    • 2010
  • A new compound, 4-methoxyl 5-hydroxymethyl benzoic 3-O-$\beta$-D-glucopyranoside (1), has been isolated from the leaves and stems of Acer mandshuricum, along with nine known compounds (2-10). Their structures were determined by a variety of spectroscopic analyses. The effect of compounds 1-10 on the function of osteoblastic MC3T3-E1 cells was examined by determining alkaline phosphatase (ALP) activity, collagen synthesis, and mineralization. Compound 1 significantly increased the function of osteoblastic MC3T3-E1 cells; $5.0\;{\mu}M$ of 1 increased ALP activity, collagen synthesis, and mineralization of MC3T3-E1 cells to 114.7, 119.5, and 108.2% (P < 0.05) of the basal value, respectively. In addition, compounds 2-10 also potently increased the function of osteoblastic MC3T3-E1 cells.

VC-DIMENSION AND DISTANCE CHAINS IN 𝔽dq

  • ;Ruben Ascoli;Livia Betti;Justin Cheigh;Alex Iosevich;Ryan Jeong;Xuyan Liu;Brian McDonald;Wyatt Milgrim;Steven J. Miller;Francisco Romero Acosta;Santiago Velazquez Iannuzzelli
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.43-57
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    • 2024
  • Given a domain X and a collection H of functions h : X → {0, 1}, the Vapnik-Chervonenkis (VC) dimension of H measures its complexity in an appropriate sense. In particular, the fundamental theorem of statistical learning says that a hypothesis class with finite VC-dimension is PAC learnable. Recent work by Fitzpatrick, Wyman, the fourth and seventh named authors studied the VC-dimension of a natural family of functions ℋ'2t(E) : 𝔽2q → {0, 1}, corresponding to indicator functions of circles centered at points in a subset E ⊆ 𝔽2q. They showed that when |E| is large enough, the VC-dimension of ℋ'2t(E) is the same as in the case that E = 𝔽2q. We study a related hypothesis class, ℋdt(E), corresponding to intersections of spheres in 𝔽dq, and ask how large E ⊆ 𝔽dq needs to be to ensure the maximum possible VC-dimension. We resolve this problem in all dimensions, proving that whenever |E| ≥ Cdqd-1/(d-1) for d ≥ 3, the VC-dimension of ℋdt(E) is as large as possible. We get a slightly stronger result if d = 3: this result holds as long as |E| ≥ C3q7/3. Furthermore, when d = 2 the result holds when |E| ≥ C2q7/4.