Sentence examples for cannot be approximated from inspiring English sources

- 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 is shown that in this case these characteristics cannot be approximated by Newman's and other conventional formulate.

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

The shape of measured or design life distributions of systems can vary considerably, and therefore frequently cannot be approximated by simple distribution functions.

Considering synergistic valuations turns the allocation problem into a computationally hard optimization problem that generally cannot be approximated to a constant factor in polynomial time.

This implies that the trajectory of a celestial body whose mass is continuously changing cannot be approximated by a series of Keplerian orbits.

Further, it is found that the flame centerlines cannot be approximated as one-dimensional, since the mass flow rates vary substantially along the centerlines.