This paper shows that functional derivatives of the probability generating functional (PGFL) of a finite point process can be calculated using ordinary derivatives. The result is new, and it is potentially useful to the class of Bayesian multitarget tracking problems that is based on finite point process models for targets and measurements. In this class, the distribution of the Bayes posterior...

Cutoff Schrödinger equations in functional derivatives are solved via quantized Galerkin limit of antinormal functional Feynman integrals for Schrödinger equations in partial derivatives. Mathematics Subject Classification 2000: 81T08, 81T16; 26E15, 81Q05, 81S40.

Schrödinger equations in functional derivatives are solved via quantized Galerkin limit of antinormal functional Feynman integrals for Schrödinger equations in partial derivatives. Mathematics Subject Classification 2000: 81T08, 81T16; 26E15, 81Q05, 81S40.

Nitrobenzene is one of benzene derivatives. can be found naturally and also from the synthesis process. used as a raw material to synthesize aniline, textile dyes, pesticides, drugs. solvent in paint industry. The computational calculation was performed for nitrobenzene its four derivatives have been optimized using density functional theory/B3LYP functional. basis set 3-21G(d). structure geome...

We consider the task of filtering the noise from images and other types of inputs which are assumed to be piecewise continuous and piecewise monotone. We show that nonlinear diffusion of the data, a powerful filtering method, is too restrictive for such a case, leading to piecewise constant functions. We claim that the piecewise monotonicity can be enhanced by nonlinear diffusion of first parti...

First principles calculations were carried out for investigation the novel 7-hydroxycoumarinyl gallates derivatives in gas and liquid phases using density functional theory (DFT) method. Computational chemistry simulations were carried out to compare calculated quantum chemical parameters for gallates derivatives. All calculations were performed using DMol3 code which is based on DFT. The Doubl...