We describe a Guess-and-Check algorithm for computing algebraic equation invariants of the form ∧ifi(x1, . . . , xn) = 0, where each fi is a polynomial over the variables x1, . . . , xn of the program. The “guess” phase is data driven and derives a candidate invariant from data generated from concrete executions of the program. This candidate invariant is subsequently validated in a “check” pha...

Critiques of the concept of key success factors have raised objections both conceptually and methodologically. From the latter perspective, common research practice is criticized for neglecting the influence of firm-specific, unobservable variables (e.g., management skills). To control for these effects a structural equation approach (“LISREL”) to the analysis of panel data is proposed. In an e...

This study deals with a family of multi-point iterative methods of arbitrary order of convergence for simultaneous computing of all roots of an algebraic equation. These methods are analogues of the well known method for computing of a single root of a nonlinear equation. Some known methods for simultaneous finding of all roots of algebraic equations are special cases of the family considered. ...

Theil, Basmann, and Sargan are often credited with the development of the two-stage least squares (TSLS) estimator of the coefficients of one structural equation in a simultaneous equations model. However, Anderson and Rubin had earlier derived the asymptotic distribution of the limited information maximum likelihood (LIML) estimator by finding the asymptotic distribution of what is essentially...

When an econometric structural equation includes two endogenous variables and their coefficients are normalized so that their sum of squares is 1, it is natural to express them as the sine and cosine of an angle. The Limited Information Maximum Likelihood (LIML) estimator of this angle when the error covariance matrix is known has constant variance. Of all estimators with constant variance the ...

Two methods for simultaneous estimation of Paracetamol and Tolperisone Hydrochloride in combined tablet dosage form have been developed using Water as a solvent. The first UV spectrophotometric method was a determination using the simultaneous equation method at 242.5 nm and 260 nm. The second UV spectrophotometric method is the Q – analysis (absorption ratio) method, which involves the formati...

SSF is a system to discover the structure of simultaneous equations governing an objective process through experiments. SSF combined with another system SDS to discover a quantitative formula of a complete equation derives the quantitative model consisting of simultaneous equations reflecting the first principles underlying in the objective process. The power of SSF comes from the use of the co...

The Hamilton-Jacobi equation of relativistic quantum mechanics is revisited. The equation is shown to permit solutions in the form of breathers (oscillating/spinning solitons), displaying simultaneous particle-like and wave-like behaviour. PACS: 03.65-w, 03.65Pm, 03.65.-b