Sentence examples for approximation breaks from inspiring English sources

We also investigate the qualitatively different compartmentalization strategies that emerge in parameter regimes where this approximation breaks down.

The approximation breaks down when the number of children is very small, but this situation is easy to handle with special cases.

The approximation breaks down at large latitudes - it does pretty much OK up to about 50 degrees North or South - so it's still fine for Costa Rica!

Larger errors may occur wherever the sensitivity extends over a large volume and the paraxial approximation breaks down at large distance from the ray.

The approximation breaks down when the number of children is small, but the special cases for properly handling a small number of children (1, 2, or 3 through 5) are easy to handle in the code.

While such approaches provide a good approximation when all reactants are abundant, the approximation breaks down when one or more species exist only in small concentrations and the fluctuations arising from the discrete nature of the reactions become significant.

That being said, it should be obvious that evidence about where approximations break down is enormously useful, even when it is not the sort of evidence that causes the approximations to be abandoned.

This current correction was performed for all turtles except those remaining at low latitudes (<10°) where geostrophic approximations break down [37].

As expected, the approximations break down if recombination is weak (e.g., Figure 6).

For low velocities, the Born approximation gradually breaks down, and highly excited states begin to be inaccessible to transitions by virtue of small maximum energy transfer.

The theoretical method which gives an approximate solution by satisfying on average the potential integral equation is far more accurate than the point strength method, especially when the electrode tends towards the liquid layer where the far-field approximation used breaks down.