Matematik Bölümü Yayın Koleksiyonu
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Article Citation - WoS: 3Citation - Scopus: 2Surface Terms, Angular Momentum and Hamilton-Jacobi Formalism(Soc Italiana Fisica, 2003) Güler, Y; Baleanu, Dumitru; Baleanu, D; Cenk, M; MatematikQuadratic Lagrangians are introduced adding surface terms to a free-particle Lagrangian. Geodesic equations are used in the context of the Hamilton-Jacobi formulation of a constrained system. The manifold structure induced by the quadratic Lagrangian is investigated.Article Citation - WoS: 8Citation - Scopus: 8Determination of Salicin Content of Some Salix L. Species by Hplc Method(Chiminform Data S A, 2007) Guvenc, Aysegul; Baleanu, Dumitru; Arihan, Okan; Altun, M. Levent; Dinc, Erdal; Baleanu, Dumitru; MatematikIn this paper, we find the salicin content of the nine species of Salix L from the province of Ankara, Turkey, namely Salix triandra, S. alba, S. excelsa, S. fragilis, S. babylonica, S. caprea, S. cinerea, S. pseudomedemii and S. amplexicaulis. A simple HPLC method was applied to the determination of Salicin of these nine species in barks and leaves of female and male. Chromatographic separation was carried out by a mobile phase consisting of bidistilled water, tetrahydrofuran and ortho-phosphoric acid (97.7: 1.8: 0.5) (v/v/v). The salicin amount of these samples was analyzed by measuring the peak area at the wavelength, 270 nm. A reversed phase phenyl column (250 x 4.6mm, 5 mu m) was used and flow rate was set to 1 ml/min. in an isocratic elution. The results provided 6 HPLC method was found in agreement with those indicated by European Pharmacopoeia. It was observed that S. babylonica female bark sample possess the highest salicin content (2.675), while S. caprea female bark (0.058) has the lowest salicin content as w/w (%).Article Citation - WoS: 4Citation - Scopus: 32d Gravity and the Hamilton-Jacobi Formalism(Soc Italiana Fisica, 2002) Baleanu, D; Baleanu, Dumitru; Güler, Y; MatematikHamilton-Jacobi formalism is used to study 2D gravity and its SL(2, R) hidden symmetry. If the contribution of the surface term is considered, the obtained results coincide with those given by the Dirac and Faddeev-Jackiw approaches.Article Citation - WoS: 16Citation - Scopus: 16Comparative Application of Wavelet Approaches To Absorption and Ratio Spectra for the Simultaneous Determination of Diminazene Aceturate and Phenazone in Veterinary Granules for Injection(Govi-verlag Pharmazeutischer verlag Gmbh, 2005) Dinç, E; Baleanu, Dumitru; Kanbur, M; Baleanu, D; MatematikA comparison of two wavelet approaches, Daubechies and reverse Biorthogonal, is described for the quantitative resolution of a binary mixture of diminazene aceturate (DIMA) and phenazone (PHE) in veterinary granules for injection without any chemical separation. These two approaches were specified as db4 (a = 180) and rbior3.7 (a = 125) respectively, after testing the signal analysis parameters for the overlapping absorption spectra and ratio spectra. In the first step db4 (a = 180) was applied to the original absorbance data vector of DIMA and PHE. In the second step rbio3.7 (a = 125) was applied to the ratio spectra data vectors of DIMA using the divisor PHE. The same approach was also subjected to the ratio spectra of PHE using the divisor DIMA. The db4 (a = 180) and rbior3.7 (a = 125) calibration graphs were constructed using the transformation values obtained in the wavelet domain. In the method validation, the wavelet calibration functions were tested using synthetic mixtures and the standard addition technique. The simultaneous quantitative analysis of DIMA and PHE in the commercial veterinary preparation was achieved by the elaborated methods. The assay results were compared with each other and good agreement was observed.Article Citation - Scopus: 9Hamilton-Jacobi Treatment of Fields With Constraints(Editrice Compositori s.r.l., 2000) Baleanu, D.; Baleanu, Dumitru; Güler, Y.; Güler, Yurdahan; MatematikIn this paper Güler's formalism for the systems with finite degrees of freedom is applied to the field theories with constraints. The integrability conditions are investigated and the path integral quantization is performed using the action given by Hamilton-Jacobi formulation. Proca's model is investigated in details.Article Citation - WoS: 4Citation - Scopus: 3Chain and Hamilton-Jacobi Approaches for Systems With Purely Second-Class Constraints(Soc Italiana Fisica, 2003) Baleanu, Dumitru; Baleanu, D; Güler, Y; Güler, Yurdahan; MatematikThe equivalence of the chain method and Hamilton-Jacobi formalism is demonstrated. The stabilization algorithm of Hamilton-Jacobi formalism is clarified and two examples are presented in details.Article Citation - WoS: 4Citation - Scopus: 5One-Dimension Continuous Wavelet Resolution for the Simultaneous Analysis of Binary Mixture of Benazepril and Hydrochlorothiazide in Tablets Using Spectrophotometric Absorbance Data(Editura Academiei Romane, 2004) Dinç, E; Baleanu, Dumitru; Baleanu, D; MatematikOne-dimensional continuous wavelets transform (CWT) followed by a zero-crossing technique were applied to the quantitative resolution of a binary mixture of benazepril (BE) and hydrochlorothiazide (HCT) in two commercial tablet formulations. UV-spectra in the range of 210.1-300.0 nm, were recorded and transferred as vectors having 900 components into MATLAB 6.5. The analyzed signals corresponding to the above vectors were subjected to three CWT families, namely, Mexican (MEX), Haar (HA) and Daubechies3 (DAUB3) wavelets. For these three families a detailed analysis procedure was performed and we retained only those parameters creating many zero-crossing points for transformed signals. At locations where the wavelet transform of one component vanishes, the value of the mixture's transformed signal is due only to the other component. This allows rapid approximate determination of the concentrations. The above three wavelet bases provided reliable results of the analysis of the mixtures containing BE and HCT in two pharmaceutical tablet formulations.Article Citation - WoS: 1Citation - Scopus: 2Solutions of Massless Conformal Scalar Field in an N-Dimensional Einstein Space(Jagiellonian Univ Press, 2008) Muslih, Sami I.; Baleanu, Dumitru; Baleanu, Dumitru; Rabei, Eqab M.; MatematikIn this paper the wave equation for massless conformal scalar field in an Einstein's n-dimensional universe is solved and the eigen frequencies are obtained. The special case for alpha = 4 is recovered and the results are in exact agreement with those obtained in literature.Conference Object Citation - WoS: 17Approximation by Kantorovich Type Q-Bernstein Operators(World Scientific and Engineering Acad and Soc, 2007) Dalmanoglu, OzgeIn the present paper, Kantorovich type of Bernstein polynomials based on q-integers is constructed. Approximation properties and rate of convergence of these operators are established with the help of the Korovkin theorem.Article Citation - WoS: 7Citation - Scopus: 6Simultaneous Determination of Chlorotetracycline and Benzocaine in Bolus by Chemometric Methods(Chiminform Data S A, 2007) Dinc, Erdal; Baleanu, Dumitru; Kanbur, Murat; Baleanu, Dumitru; MatematikTwo chemometric methods were applied to the simultaneous determination of chlortetracycline (CTC) and benzocaine (BC) in their binary mixture. The methods involve multivariate calibration based on principal least-squares (PCR) and partial least-squares (PLS) regressions. A concentration set consisting of binary mixtures of CTC and BC in 13 different combinations were randomly prepared in 0,011 M HCl. Both multivariate calibration models were constructed by using the relationship between the concentration set and its corresponding absorption data in the spectral region of 200-305 nm, The accuracy and the precision of the methods were validated by analyzing synthetic mixtures containing investigated drugs. The recovery results obtained by applying PCR and PLS calibrations to artificial mixtures were found between 100.2 and 101.0%. Data treatments, regressions and statistical analysis were performed by using the Microsoft EXCEL and PLS toolbox 3.5 in Matlab 7.0 software. Satisfactory results for both artificial and commercial veterinary samples were obtained. The experimental results from two chemometric methods were compared with each other.