In this paper a family of weighted fractal networks, in which the weights of edges have been assigned to different values with certain scale, are studied. For the case of the weighted fractal networks the definition of modified box dimension is introduced, and a rigorous proof for its existence is given. Then, the modified box dimension depending on the… (More)
In the title compound, C(3)H(5)N(2) (+)·C(7)H(4)NO(4) (-), the benzene ring forms a dihedral angle of 40.60 (5)° with the imidizolium ring. The nitro-benzoate anion is approximately planar: the benzene ring makes dihedral angles of 3.8 (3) and 3.2 (1)° with the nitro and carboxyl-ate groups, respectively. In the crystal structure, the cations and anions are… (More)
In the crystal structure, the title compound (also called dicumyl peroxide), C(18)H(22)O(2), lies on a center of symmetry. The COOC plane including the di-oxy group makes a dihedral angle of 79.10 (5)° with the phenyl ring. An inter-molecular C-H⋯π inter-action is observed between the phenyl groups.
Recently, we reconsider continuously definitions and properties of Gibbs derivatives on p adic field Q p , by using so called pseudu-differential operators T α , we find the kernel κ α of T α , as well as the spectra of it. Moreover, we show some applications of T α to fractal analysis and medical science.