in this paper we will prove that if $l$ is a continuous symmetric n-linear form on a hilbert spaceand $widehat{l}$ is the associated continuous n-homogeneous polynomial, then $||l||=||widehat{l}||$.for the proof we are using a classical generalized  inequality due to s. bernstein for entire functions of exponential type. furthermore we study the case that if x is a banach space then we have tha...

The aim of this note is to study local and global Seshadri constants for a family of smooth surfaces with prescribed polarization. We shall first observe that given α being smaller than the square root of the degree of polarization, the set of local Seshadri constants in the range (0, α] is finite. This in particular implies that the square root of the degree of polarization is the only possibl...

in this paper, the electrochemical behaviour of passive films formed on aisi 321 stainless steel (aisi 321)immersed in 0.1 m naoh + 0.1 m koh solution was evaluated by different electrochemical techniques. forthis purpose, passive films were formed at open circuit potential for 1 to 12 hours and then electrochemicalmeasurements were done. the polarization curves suggested that aisi 321 showed e...

In this paper we will prove that if $L$ is a continuous symmetric n-linear form on a Hilbert space and $widehat{L}$ is the associated continuous n-homogeneous polynomial, then $||L||=||widehat{L}||$. For the proof we are using a classical generalized  inequality due to S. Bernstein for entire functions of exponential type. Furthermore we study the case that if X is a Banach space then we have t...

In this study, electrochemical behaviour of passive films formed on AISI 316L stainless steel (AISI 316L) in three acidic solutions concentrations (0.3, 0.6, and 0.9M HNO3) under open circuit potential conditions were evaluated by potentiodynamic polarization, Mott–Schottky analysis and electrochemical impedance spectroscopy (EIS) techniques. The potentiodynamic polarization results showed that...

The effects of H2SO4 concentration on the electrochemical behaviour of passive films formed on AISI 304 stainless steel were investigated using by potentiodynamic polarization, Mott–Schottky analysis and electrochemical impedance spectroscopy (EIS). Potentiodynamic polarization indicated that the corrosion potentials were found to shift towards negative direction with an increase in solution co...

Polarization independent liquid crystal (LC) microlens arrays based on controlling the spatial distribution of the Kerr constants of blue phase LC are simulated. Each sub-lens with a parabolic distribution of Kerr constants results in a parabolic phase profile when a homogeneous electric field is applied. We evaluate the phase distribution under different applied voltages, and the focusing prop...