The programs are written to determine the fractions of positrons annihilating in each state of the sample by solving numerically the diffusion equation (3).
In this work, we extend this result for the case of a thick-disk sample by solving the set of differential equations governing the thermoelastic response for the finite radius configuration.
Based on the signal intensities of the signature ions, we estimate the mass contributions of major species in a sample by solving the following linear equation using multilinear regression 1where ms mix and ms i are the mass spectra of the mixture and compound i, respectively.
We approximate these samples numerically by solving the initial-value problems defined by (1.14) and (2.1) to obtain the approximate values U ˜ ( n h ), n ∈ Z N , i.e., U ˜ ( n h ) = Ω ˜ ( n h ) − K ( n h ).
According to the proposed MPC algorithm, the control law is computed based on linear matrix inequality (LMI) at each sampling time by solving convex optimization problem.
Capillary pressure curves are generated using model average saturation "data" and the error involved in neglecting the sample width by solving the Hassler-Brunner integral equation is determined.
In the mentioned papers, a number of important return distributions have been fitted to these data sets using the first four sample moments by solving specific equations (main theorems in Sections 3 of Hürlimann [41 43]).
The second resistance, R2=V AB /I CD, is obtained by driving the current from C to D and measuring the voltage between A and B. The conductivity of the sample is obtained by solving the van der Pauw equation: e − πd R 1 σ + e − πd R 2 σ = 1, (2).
Algebraically, technical efficiency score of each hospital and health centre in the sample were obtained by solving the models (1) and (2) (See Table 8) [ 29].
