Sentence examples for be the limiting cases from inspiring English sources

The semi-classical systems are derived using various asymptotic procedures (Berry 1987 and 2001), but these procedures do not yield the actual classical systems that are supposed to be the limiting cases of the quantum systems.

Results for the first model are shown to be the limiting case of the dynamic model with fast switching.

Since the same deterministic formulation can be the limiting case of many individual based models, this procedure may be problematic.

(Indeed, a circle is the limiting case for a regular polygon as the number of its sides increases).

Thus, the full CSI assumption is the limiting case when the feedback channels expand their bandwidth to infinity.

To each level corresponds a special science, and the levels are arranged in terms of increasing organizational complexity of matter, the bottom level being the limiting case investigated by the fundamental science of physics.

At the other end of the spectrum, falsification is the limiting case of disconfirmation: a piece of evidence falsifies a hypothesis just in case it conclusively establishes that the hypothesis is false.

Our specification of utility in the stand-in household's problem (5) is the limiting case of the utility function (17) where both (rho _c =0) and (rho _ell =0).

This scenario is the limiting case allowing for fastest turnover.

In fact, the one-reference example mentioned above is the limiting case A′ = C of this situation.

In this case, we find that (A3) The above solution is the limiting case of weak binding of X to A and B, resulting in a situation where (free) A and B are very far from depletion.