we use in the second step this Zs/bt' instead of the original as/at the mass will be multiplied by the constant factor and this may-correspond to the change of mass considered in the special relativity theory. 1 Cf. a paper by the -present writer, New York, Trans. Amer. Math. Soc., 27, 1925, January, pp. 106-136. 2 Amsterdam, Proceedings, 202, 1918, pp. 1076-1091. 3 Cf. paper cited under' secti...

In the present paper the classical point symmetry analysis is extended from partial differential to functional differential equations with functional derivatives. In order to perform the group analysis and deal with the functional derivatives we extend the quantities such as infinitesimal transformations, prolongations and invariant solutions. For the sake of example the procedure is applied to...

We develop in this paper a new procedure to construct simultaneous confidence bands for derivatives of mean curves in functional data analysis. The technique involves polynomial splines that provide an approximation to the derivatives of the mean functions, the covariance functions and the associated eigenfunctions. We show that the proposed procedure has desirable statistical properties. In pa...

High Energy Materials is a term that is used for explosives, propellants and pyrotechnics. Explosives are used for military applications. 5-Picrylamino-1,2,3,4-tetrazole(PAT) is an explosive substance. In this study the reactions of the 5-Picrylamino-1,2,3,4-tetrazole(PAT) with nanostructures of fullerene and boron nitride nano-cages in different conditions of temperature, with density function...

Introduction: Non-Steroidal Anti-Inflammatory Drugs (NSAIDs) are used in treating pathologic conditions such as fever, pain and inflammation by inhibiting cyclooxygenase and consequently prostaglandin production. Recently , the discovery of different isoforms of this enzyme, Cyclooxygenase-1 (COX-1) andCyclooxygense-2 (COX-2), has led to the synthesis and introduction of novel drugs with select...

The ground and excited state geometries, the excitation and emission energies for a series of fluorescein derivatives in aqueous solutions have been investigated using time-dependent density functional theory (TD-DFT) with B3LYP and a long-range corrected CAM-B3LYP functional. The RI-CC2 method was employed to confirm the CAM-B3LYP results. As far as we know, the excited state geometries for a ...

In the present study, some new bis-imidazole derivatives have been prepared through four-components condensation of 2,6-bis (4-aminophenyl)-4-p-tolylpyridine, benzaldehyde derivatives, benzil and ammonium acetate in presence of acetic acid. The present methodology offers several advantages such as good yields, simple procedure, milder conditions and the possibility of introducing a v...

High Energy Materials is a term that is used for explosives, propellants and pyrotechnics. Explosives are used for military applications. 5-Picrylamino-1,2,3,4-tetrazole(PAT) is an explosive substance. In this study the reactions of the 5-Picrylamino-1,2,3,4-tetrazole(PAT) with nanostructures of fullerene and boron nitride nano-cages in different conditions of temperature, with density function...