Many assumptions commonly made in science and engineering problems are at most approximations to reality and they do not always hold unfortunately.
What these results also indicate is that the most significant approximation made here is in equation 1, and it fails when the conditions of this approximation are not met.
For this reason a dipole source was deemed the most appropriate approximation for our calculations.
The estimates are the most reliable approximation of the stock of total P in Australian soil to date.
That implies the fact that the calculations have to be repeated to obtain the most accurate approximation of distribution shown in tables above.
Therefore, the most appropriate approximation in many numerical vibration-based techniques is to employ the simulation approaches for identifying the modal parameters.
into several kernels in order to show the kind of singularities we are dealing with and to find afterwards the most convenient approximation formulas.
Each known local patch belongs to the cluster whose nonlinear eigenspace can perform the most accurate approximation of its low- and high-frequency components.
We need to find the value (a_{1}inmathbb{R}) that produces the most accurate approximation of the form begin{aligned} r_{1}(n)=sum_{m=1}^{n} frac{1}{m} -ln n-ln biggl(1+frac{a_{1}{nn} biggr).
Critiquing the assumption of precise knowledge of edge probabilities (which is essential to most provable approximation results under the Independent Cascade Model), He and Kempe introduce a model in which edge probabilities are selected from given intervals [19].
