Sentence examples for which cannot be approximated from inspiring English sources

We show examples of compact linear operators between Banach spaces which cannot be approximated by norm attaining operators.

We show that there exist graphs of Cartesian maps, of finite mass, which cannot be approximated weakly as currents by graphs of smooth maps with equibounded area.

Interestingly, a closed-form solution of the sum cannot be achieved due to the likelihood which cannot be approximated by a common pdf, as outlined in Section 1.

In this context, the spatial and the temporal rainfall variability represents a significant issue, especially for basins in which the rainfall field cannot be approximated through the use of a single station.

- Proof 1 (Razborov-Smolensky): PARITY cannot be approximated by a low-degree polynomial (section 13.2).

This means that this problem cannot be approximated by a single schedule.

Some other solutions, obtained numerically, cannot be approximated by conventional asymptotic methods.

Yet many important practical systems are in the turbulent regime and cannot be approximated by a simplified analysis.

This method is particularly suitable for determining the irregular profiles that cannot be approximated by the polynomial functions.

It cannot be approximated by interpolation or down-sampling.

However, the WPDCM problem is still NP-hard and cannot be approximated to arbitrary degree.