Solution of a multidimensional system of equations for differentiating probability densities with respect to Y to identify silver nanoparticles on fibers

The results of compiling and solving a system of multidimensional differential correlation equations of distribution ellipses in the identification of colloidal silver nanoparticles on polyester fibers with multi-dimensional correlation components of Raman polarization spectra are presented when applied in nanoelectronic technology. A method is proposed for increasing the accuracy and speed of identification of silver nanoparticles on polyester fibers, taking into account the longitudinal and transverse polarization of laser radiation over the entire spectral range, analyzing in sequence and in order simultaneously two peaks along the X-transverse and along the Y-along the fibers. When solving a system using a non-linear quadratic and differential probability density equations in Y, an uncertainty arises, the elimination of which is used by the numerical addition Δ = + 0.06455.