We do this by first constructing a sufficiently accurate approximation to the system's matrix and we obtain a rigorous estimate for this approximation.
A rigorous numerical approximation for the calculation the magnetic energy, which reduces the errors induced by employing the approach of Lemdiasov and Ludwig [A stream function method for gradient coil design. Concepts Magn Reson B Magn Reson Eng 2005 26B 67 80], is also proposed.
In this study, we chose to use the less physically rigorous approximation of probability of single strandedness as a simple fraction of predicted optimal and suboptimal structures in which a residue is found to be part of a single stranded structure, as computed by Mfold.
Res., 33, 1595 1606) and extends it as follows: (i) it is shown that the indepence of the advective component of a solute particle trajectory from the trajectory component associated with PSD, is a rigorous first-order approximation in σY2.
It should be noted that a rigorous treatment beyond quasi-static approximation requires the inclusion of capacitive, resistive, and inductive elements in the calculation.
A rigorous technique, using the effective medium approximation method, is applied, utilizing unconstrained thermal strains of the individual phases which are determined experimentally.
This paper presents a rigorous mathematical programming model, a linear approximation, and a two-stage algorithm for optimizing the design of integrated HRSGs and HRSCs, simultaneously considering the HRSG together with the heat recovery steam network and the intensive steam cycle variables.
In an abstract Wiener space setting, we construct a rigorous mathematical model of the one-loop approximation of the perturbative Chern Simons integral, and derive its explicit asymptotic expansion for stochastic Wilson lines.
These techniques can be tailored to different materials and do not require a simultaneous reference due to the use of a rigorous fundamental model compared to the lumped parameter approximation.
