Explicit formulas for solutions of recurrence relations for 3–loop vacuum integrals are generalized for the n-loop case. Recently [1] a new approach to implement recurrence relations [2] for vacuum integrals was suggested. Such relations connect Feynman integrals with various degrees of their denominators. In many cases they provide a possibility to express an integral with given degrees of den...

the effect of mentha spicata l. extract on the corrosion behaviour of carbon steel in 1.0 m hcl solution was investigated using polarization, electrochemical impedance spectroscopy (eis) and electrochemical noise (en) techniques. the solution containing 250 ppm of the ethanolic solution of extract showed the highest inhibition efficiency (ie). the effect of temperature on the rate of corrosion ...

aisi 304l austenitic stainless steel with different grain sizes of 0.5 -12 μm was obtained through the martensiticprocess. corrosion behavior of different samples was investigated in a 0.5m hcl solution using open circuitpotential, potentiodynamic polarization and electrochemical impedance spectroscopy tests. also, the correlationbetween the grain size and pitting corrosion resistance was asses...

The surface polariton properties of TM or TE plane wave scattered by a coated cylinder are investigated in this paper. The coated cylinder (whose outer radius is much smaller than the wavelength) is assumed to be electrically small and low dissipative. Analytical formulas of the plasmonic resonances are derived and found to agree well with those obtained from exact expressions in the classical ...

the hosoya index and the merrifield-simmons index are two types of graph invariants used in mathematical chemistry. in this paper, we give some formulas for computed these indices for some classes of corona product and link of two graphs. furthermore, we obtain exact formulas of hosoya and merrifield-simmons indices for the set of bicyclic graphs, caterpillars and dual star.