Conventional work on scienti c discovery such as BACON derives empirical law equations from experimental data. In recent years, SDS introducing mathematical admissibility constraints has been proposed to discover rst principle based law equations, and it has been further extended to discover law equations from passively observed data. Furthermore, SSF has been proposed to discover the structure...

two simple, accurate and precise methods for simultaneous estimation of esomeprazole and itopride in bulk drug and tablet dosage form have been described. method-a employs formation and solving of simultaneous equation using 231 and 370 nm as two analytical wavelengths. method -b is absorption ratio method, which uses 308 and 331 nm as two analytical wavelengths.beer’s law was obeyed in the con...

SDS2 is a system to discover and identify the quantitative model consisting of simultaneous equations re ecting the rst principles underlying the objective process through experiments. It consists of SSF and SDS, where the former is to discover the structure of the simultaneous equations and the latter to discover a quantitative formula of each complete equation. The power of SDS2 comes from th...

Consider testing the null hypothesis that a single structural equation has specified coefficients. The alternative hypothesis is that the relevant part of the reduced form matrix has proper rank, that is, that the equation is identified. The usual linear model with normal disturbances is invariant with respect to linear transformations of the endogenous and of the exogenous variables. When the ...