Sentence examples for because of the approximation from inspiring English sources
For the case of CDE-SD, the difference is slightly bigger because of the approximation in (55).
Then, the proposed algorithm reverts to SUD, and its performance is even worse than SUD in Fig. 8 because of the approximation in the proposed detection algorithm.
Note that, because of the approximation done in (12), (18) can be seen as a lower bound of the algorithm exact error probability.
However, the accuracy of the assumption and the limitation of the analytical solutions have not been examined and because of the approximation, the analytical solutions may lead to significant errors for the buckling loads of shallow parabolic arches in some cases.
The CCM still adds another source of error in the data analysis, because of the approximation taken in the calculation of dC/da, which is performed by taking the derivative of the C = f(a) curve after fitting cubic polynomials [24].
We note that, conceptually, the 2-dimensional approach should cover all BPs identifiable by the 1-dimensional approach, but it might not be always so because of the approximation procedure in the multiple test corrections.
Unfortunately, because of the approximations involved, this argument does not prove the theorem about the area of a circle.
However, because of the approximations and assumptions introduced above, and because of the finite duration of the step, the resulting model cannot be expected to perfectly reproduce the data during the elongation phase.
This is especially encouraging in case of N d (p) because of the approximations that went into identifying true duplicated (sibling) pairs by the Minimum Spanning Tree algorithm.
This is not entirely obvious because of the approximations that went into deducing the true duplicated (sibling) pairs using the Minimum Spanning Tree algorithm.
However, the conventional methods show better BER performance only under lower mobile environments because of employing the approximation in the construction of CFR matrix so as to reduce the computation complexity.
