the purpose of this reaserch is to measure the phase equilibrium data of the ternary system (water + phosphoric acid + 1-nonanol) at different temperatures. experimental solubility curves and tie-line points for the system were obtained at t = 298.2, 308.2 and 318.2 k and ambient pressure. the binodal curve data were detected by the cloud point method. the mass fractions of each layer were achi...

Trygve Haavelmo got the Nobel prize in economics (the prize in memory of Alfred Nobel) in 1989 – essentially for his 1944 treatise: “The probability approach to econometrics”, where econometrics eventually was founded on probability and mathematical statistics and where simultaneous equation models were introduced. Haavelmo learned statistics from Frisch, and was influenced by Neyman. Ragnar Fr...

We present a new algorithm for solving the Sylvester-Observer Equation: AX ? XH = (0;C). The algorithm embodies two main computational phases: the solution of a series of independent equation systems, and a series of matrix-matrix multiplications. The algorithm is, thus, well suited for parallel and high performance computing. By reducingthe coeecient matrix A to lower Hessenberg form, one can ...