We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the ...

and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...

The effect of bulk water on the B (2)Sigma(+) <-- X (2)Sigma(+) and A (2)Pi <-- X (2)Sigma(+) electronic transitions of the cyano radical is investigated. First, the cyano radical-water dimer is characterized to understand the nature of the interactions and parametrize molecular mechanics (MM) potentials. The carbon atom, which hosts the unpaired electron, is found to have a Lennard-Jones radiu...

We give a realization of the Beisert, Eden and Staudacher equation for the planar N = 4 supersymetric gauge theory which seems to be particularly useful to study the strong coupling limit. We are using a linearized version of the BES equation as two coupled equations involving an auxiliary density function. We write these equations in terms of the resolvents and we transform them into to a syst...

We investigate the n-variable real functions G that are solutions of the Chisini functional equation F(x) = F(G(x), . . . , G(x)), where F is a given function of n real variables. We provide necessary and sufficient conditions on F for the existence and uniqueness of solutions. When F is nondecreasing in each variable, we show in a constructive way that if a solution exists then a nondecreasing...

Strategic IT business alignment deals with the capability of IT to both shape and support business strategy. It can be interpreted as an organizational learning process that combines business and IT knowledge to support business objectives and can positively affect organizational profitability by creating superior strategies that achieve a competitive advantage. These strategies have to be impl...

in this paper we investigate the generalized hyers-ulamstability of the following cauchy-jensen type functional equation$$qbig(frac{x+y}{2}+zbig)+qbig(frac{x+z}{2}+ybig)+qbig(frac{z+y}{2}+xbig)=2[q(x)+q(y)+q(z)]$$ in non-archimedean spaces

The importance of automating feature generalization is increasing in conjunction with demands for updated data. Determining which features to represent at myriad scales is an important part of this process. The Principles of Selection, as proposed by Töpfer and Pillewizer in 1966, provide cartographers with an empirically based generalization rule. Also known as the Radical Law, the principles ...