• Title/Summary/Keyword: derivative

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A Novel Synthesis of Heterocyclic Compounds Containing Coumarin Moiety of Potential Antimicrobial Activity

  • El-Fattah, M. E. Abd
    • Archives of Pharmacal Research
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    • v.21 no.6
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    • pp.723-728
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    • 1998
  • The chemical behaviours of 4-methyl-2-oxo-2H-benzopyran-7-yl oxoacetyl hydrazine (2) towards some different reagents such as anhydride compounds, aromatic aldehydes, carb on disulphide, and nitrous acid yielded the corresponding pathalazine derivatives (3, 4, 5), hydrazone derivative (6), 1,3,4-oxadiazole derivative (7, 8, 9) and acid azide (10) respectively. Treatmen of 10 with absolute alcohols, amines and ethyl amino acid ester gave the corresponding carbamate derivative (11), substituted urea derivative (12) and ethyl substituted alkyl acetate (13) respectively. The biological activity of some synthesized compounds was evaluated.

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A Topological Derivative Based Non-Iterative Electromagnetic Imaging of Perfectly Conducting Cracks

  • Ma, Yong-Ki;Park, Won-Kwang
    • Journal of electromagnetic engineering and science
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    • v.12 no.1
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    • pp.128-134
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    • 2012
  • In this manuscript, we consider electromagnetic imaging of perfectly conducting cracks completely hidden in a homogeneous material via boundary measurements. For this purpose, we carefully derive a topological derivative formula based on the asymptotic expansion formula for the existence of a perfectly conducting inclusion with a small radius. With this, we introduce a topological derivative based imaging algorithm and discuss its properties. Various numerical examples with noisy data show the effectiveness and limitations of the imaging algorithm.

ON THE CONSTRUCTION OF A SURFACE FROM DISCRETE DERIVATIVE DATA AND ITS EXTENDED SURFACE USING THE LEAST SQUARES METHOD

  • Kim, Hoi-Sub
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.387-396
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    • 1997
  • For given discrete derivative data in a rectangular re-gion we propose a method to generate an approximated surface which fits the given derivative data in the region and extends smoothly to a sufficiently large rectangular region. Such an extension in nec-essary in the generation of the surface in NC(numerical control) ma-chine.

STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

  • OSHAH, ANESSA;DARUS, MASLINA
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.503-519
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    • 2015
  • In this work, certain classes of admissible functions are considered. Some strong dierential subordination and superordination properties of analytic functions associated with new generalized derivative operator $B^{{\mu},q,s}_{{\lambda}_1,{\lambda}_2,{\ell},d}$ are investigated. New strong dierential sandwich-type results associated with the generalized derivative operator are also given.

Coefficient Inequalities for Certain Subclasses of Analytic Functions Defined by Using a General Derivative Operator

  • Bulut, Serap
    • Kyungpook Mathematical Journal
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    • v.51 no.3
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    • pp.241-250
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    • 2011
  • In this paper, we define new classes of analytic functions using a general derivative operator which is a unification of the S$\breve{a}$l$\breve{a}$gean derivative operator, the Owa-Srivastava fractional calculus operator and the Al-Oboudi operator, and discuss some coefficient inequalities for functions belong to this classes.

On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

  • Sooriyakala, Paramasivam;Marikkannan, Natarajan
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.47-55
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    • 2009
  • In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\u{a}$l$\u{a}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.

Quantitative Analysis by Derivative Spectrophotometry (I) -Simulaneous quantitation of pyridoxine.HCI and nicotinamide in mixture by ultraviolet derivative spectrophotometry- (미분 분광 광도법에 의한 정량분석법 (제1보) -염산 피리독신과 니코틴아미이드 혼합물의 자외부에서의 분리정량-)

  • 박만기;조영현;조정환
    • YAKHAK HOEJI
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    • v.30 no.4
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    • pp.185-192
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    • 1986
  • Authors developed the computer application program (language: APPLE SOFT BASIC) for derivative spectrophotometry. By means of this program, derivative of spectral absorbance with respect to wavelength is recorded versus wavelength. To try this program in connection with spectrophotometer system, the authors have done the simultaneous quantitation of pyridoxine center dot HCl and nicotinamide in the mixture, and the result was compared with that of absorbance method.

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Derivative Function: Beliefs, Engineers as Calculus Teachers

  • Chavez, Miguel Diaz
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.249-259
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    • 2010
  • This report is intended to document beliefs that engineers working as senior high school teachers have in Mexico. Documents come from the analysis of answers provided for two tasks contained in a questionnaire: one of them is marking statements as true or false in relation to the derivative function; the second one is about solving different problems: calculation of derivative of piecewise functions and the calculation of maximum and minimum of a polynomial function. Results show the strengths, quasi-logical relations and grouping which are verified in their system of beliefs and knowledge.

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MULTI-SCALE DERIVATIVE OF IRREGULAR FUNCTIONS

  • Kim, Tae-Sik
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.393-404
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    • 2003
  • In general, a differential operator can be used as a tool of treating the local properties of given function. However, when the given function is varied with high frequency and has irregular form with non-stationary evolution it may not act its role sufficiently as in case of nowhere differentiable curves. In this paper we introduce a multi-scale derivative as a form of weakened global derivative so that it may explain its semi global diffusion properties as well as local ones for the various irregular diffusion phenomena.

Synthesis and Electrorheological Effect of the Suspensions Composed of Nano Sized Hollow Polyaniline Derivatives

  • Choi Ung-Su
    • KSTLE International Journal
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    • v.7 no.1
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    • pp.18-21
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    • 2006
  • The electrorheology of hollow PANI derivative suspensions in silicone oil was investigated by varying the electric fields and shear rates, respectively. The hollow PANI derivative susepnsions showed a typical electrorheological (ER) response caused by the polarizability of an amide polar group and shear yield stress due to the formation of chains upon application of an electric field. The shear stress for the hollow PANI succinate suspension exhibited an electric field power of 0.67. On the basis of the experimental results, the newly synthesized hollow PANI derivative suspensions were found to be an anhydrous ER fluid.