• Title/Summary/Keyword: derivative value

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STABLE NUMERICAL DIFFERENTIATION: WHEN IS IT POSSIBLE?

  • Ramm, Alexander G.;Smirnova, Alexandra
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.1
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    • pp.47-61
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    • 2003
  • Two principally different statements of the problem of stable numerical differentiation are considered. It is analyzed when it is possible in principle to get a stable approximation to the derivative ${\Large f}'$ given noisy data ${\Large f}_{\delta}$. Computational aspects of the problem are discussed and illustrated by examples. These examples show the practical value of the new understanding of the problem of stable differentiation.

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Legendre Tau Method for the 2-D Stokes Problem

  • Jun, SeRan;Kang, Sungkwon;Kwon, YongHoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.111-133
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    • 2000
  • A Legendre spectral tau approximation scheme for solving the two-dimensional stationary incompressible Stokes equations is considered. Based on the vorticity-stream function formulation and variational forms, boundary value and normal derivative of vorticity are computed. A factorization technique for matrix stems based on the Schur decomposition is derived. Several numerical experiments are performed.

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Synthesis and Electroluminescent Properties of Fluoranthene Derivatives

  • Kim, Soo-Kang;Park, Jong-Wook
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.621-624
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    • 2007
  • As a new fluoranthene derivative, a synthesis of benzo[k]fluoranthene was suggested, so new blue emitting materials, 7,12-diphenylbenzo[k] fluoranthene [DPBF] and 7,8,10- triphenylfluoranthene [TPF] were synthesized. $EL_{max}$ wavelength of the device using DPBF as an emitting layer was 436 and 454nm in the deepblue region, which are similar values with PL. The device that used DPBF as an emitting layer showed high efficiency of 2.11cd/A and the excellent color coordinate value of (0.161, 0.131) in deep-blue region.

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East H$_{\infty}$ Gain Scheduling for Uncertain Nonlinear Systems

  • Lee, Seon-Ho;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.362-366
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    • 1998
  • This paper proposes a fast H$\sub$$\infty$/ gain scheduled controller that stabilizes the uncertain nonlinear system with exogenous signals. The controller is constructed at a distinct and fixed value of exogenous signals using H$\sub$$\infty$/ syn-thesis methodology. Then the constructed controller set is switched for the wide range of variation of exogenous signals. Using the derivative gain, the number of constructed and engaged controllers for the fast varying exogenous signal is reduced.

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Parametric Empirical Bayes Estimation of A Constant Hazard with Right Censored Data

  • Mashayekhi, Mostafa
    • International Journal of Reliability and Applications
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    • v.2 no.1
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    • pp.49-56
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    • 2001
  • In this paper we consider empirical Bayes estimation of the hazard rate and survival probabilities with right censored data under the assumption that the hazard function is constant over the period of observation and the prior distribution is gamma. We provide an estimator of the first derivative of the prior moment generating function that converges at each point to the true value in $L_2$ and use it to obtain, easy to compute, asymptotically optimal estimators under the squared error loss function.

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Affinity Labeling of E. coli GTP Cyclohydrolase I by a Dialdehyde Derivative of Guanosine Triphosphate

  • Ahn, Chi-Young;Park, Sang-Ick;Kim, Ju-Myeong;Yim, Jeong-Bin
    • BMB Reports
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    • v.28 no.1
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    • pp.72-78
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    • 1995
  • Time-dependent inactivation of E. coli GTP cyclohydrolase I with a 2',3'-dialdehyde derivative of GTP (oGTP) was directed to the active site of the enzyme, and was dependent on the concentration of oGTP. The kinetics of inactivation were biphasic with a rapid reaction occurring immediately upon exposure of the enzyme to oGTP followed by a slow rate of inactivation. The $K_i$ value of oGTP for the enzyme was 0.25 mM. Inactivation was prevented by preincubation of the enzyme with GTP, the substrate of the enzyme. At 100% inactivation, 2.3 mol of [8.5'-$^3H$]oGTP were bound per each enzyme subunit, which consists of two identical polypeptides. The active site residue which reacted with the affinity label was lysine. oGTP interacted selectively with the ${\varepsilon}$-amino group of lysine in the GTP-binding site to form a morpholine-like structure which was stable without sodium borohydride treatment. However, triphosphate group was eliminated during the hydrolysis step. To identify the active site of the enzyme, [8.5'-$^3H$]oGTP-labeled enzyme was cleaved by endoproteinase Lys-C, and the $^3H$-labeled peptide was purified by HPLC. The amino acid sequence of the active site peptide was Pro-Ser-Leu-Ser-Lys, which corresponds to the aminoterminal sequence of the enzyme.

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A Benzylideneacetophenone Derivative Induces Apoptosis of Radiation-Resistant Human Breast Cancer Cells via Oxidative Stress

  • Park, Jeong Eon;Piao, Mei Jing;Kang, Kyoung Ah;Shilnikova, Kristina;Hyun, Yu Jae;Oh, Sei Kwan;Jeong, Yong Joo;Chae, Sungwook;Hyun, Jin Won
    • Biomolecules & Therapeutics
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    • v.25 no.4
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    • pp.404-410
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    • 2017
  • Benzylideneacetophenone derivative (1E)-1-(4-hydroxy-3-methoxyphenyl) hept-1-en-3-one (JC3) elicited cytotoxic effects on MDA-MB 231 human breast cancer cells-radiation resistant cells (MDA-MB 231-RR), in a dose-dependent manner, with an $IC_{50}$ value of $6{\mu}M$ JC3. JC3-mediated apoptosis was confirmed by increase in sub-G1 cell population. JC3 disrupted the mitochondrial membrane potential, and reduced expression of anti-apoptotic B cell lymphoma-2 protein, whereas it increased expression of pro-apoptotic Bcl-2-associated X protein, leading to the cleavage of caspase-9, caspase-3 and poly (ADP-ribose) polymerase. In addition, JC3 activated mitogen-activated protein kinases, and specific inhibitors of these kinases abrogated the JC3-induced increase in apoptotic bodies. JC3 increased the level of intracellular reactive oxygen species and enhanced oxidative macromolecular damage via lipid peroxidation, protein carbonylation, and DNA strand breakage. Considering these findings, JC3 is an effective therapy against radiation-resistant human breast cancer cells.

Design of Domestic Induction Cooker based on Optimal Operation Class-E Inverter with Parallel Load Network under Large-Signal Excitation

  • Charoenwiangnuea, Patipong;Ekkaravarodome, Chainarin;Boonyaroonate, Itsda;Thounthong, Phatiphat;Jirasereeamornkul, Kamon
    • Journal of Power Electronics
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    • v.17 no.4
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    • pp.892-904
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    • 2017
  • A design of a Class-E inverter with only one inductor and one capacitor is presented. It is operated at the optimal operation mode for domestic cooker. The design principle is based on the zero-voltage derivative switching (ZVDS) of the Class-E inverter with a parallel load network, which is a parallel resonant equivalent circuit. An induction load characterization is obtained from a large-signal excitation test bench, which is the key to an accurate design of the induction cooker system. Consequently, the proposed scheme provides a more systematic, simple, accurate, and feasible solution than the conventional quasi-resonant inverter analysis based on series load network methodology. The derivative of the switch voltage is zero at the turn-on transition, and its absolute value is relatively small at the turn-off transition. Switching losses and noise are reduced. The parameters of the ZVDS Class-E inverter for the domestic induction cooker must be selected properly, and details of the design of the components of this Class-E inverter need to be addressed. A 1,200 W prototype is designed and evaluated to verify the validation of the proposed topology.

A study on antioxidative components and activity of fermented Cirsium Lineare (Thunb.) extract

  • Lee, Sung-Gyu;Hwang, Jin-Woo;Lee, Dong-Sup;Kang, Sangmoon;Joun, Yong-Seung;Kang, Hyun
    • Journal of Plant Biotechnology
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    • v.49 no.3
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    • pp.250-256
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    • 2022
  • This study was conducted to measure changes in polyphenol components and antioxidant effects of Cirsium Lineare (Thunb.) after fermentation by lactic acid bacteria. First, Cirsium Lineare (Thunb.) extract (CE, unfermented) and Cirsium Lineare (Thunb.) extract fermented with Lactobacillus paracasei (FCE) were prepared. Changes in components resulting from fermentation were confirmed through changes in polyphenol compound content and silymarin derivative pattern, and antioxidant activity was confirmed using 1,1-diphenyl-2-picrylhydrazyl (DPPH) radical scavenging activity, 2,2'azino-bis(3-ethylbenzthiazoline-6-sulfonic acid) (ABTS) radical scavenging activity, and ferric reducing antioxidant power (FRAP) analyses. As a result, polyphenol contents of CE and FCE were confirmed as 21.94 ± 1.15 and 67.90 ± 4.48 mg GAE/g, respectively. Both values were increased approximately three times by fermentation, and there was also a change in the silymarin derivative pattern. In the case of DPPH radical RC50 values in particular, CE and FCE were confirmed to inhibit DPPH radicals by 50% at concentrations of 129.44 ± 5.85 and 50.00 ± 3.47 ㎍/mL, respectively, with the FCE value approximately 2.5 times lower than that of CE. In addition, ABTS radical scavenging and FRAP activity were confirmed to share similar trends as DPPH radical scavenging activity. When CE and FCE were compared, FCE showed a better antioxidant effect overall. In conclusion, this study suggested that FCE prepared through lactic acid bacteria fermentation may be utilized as a powerful antioxidant material.