Sentence examples for mathematical case where from inspiring English sources

It is now time to turn to a concrete mathematical case where such structural connections have been found.

More sophisticated objectives and constraints provided by an industrial application are studied in this paper in order to suggest a new and more relevant mathematical model for the case where these lines are composed of unit-built machines.

The output regulation problem for singular nonlinear systems has been studied recently for the ideal case where the mathematical model is exactly known.

To simplify the mathematical derivation, we consider the case, where the u th level of fusion is in its steady state, i.e., B ̂ j u ( k ) = b ~ j u 1 → k − u + 1 ∀ j.

This structure can serve as an alternative mathematical model of ergodic theory for the case where the observed events are described vaguely.

We are particularly seduced by the feeling or belief that an infinite mathematical disjunction makes good sense in the case where we can provide a recursive rule for generating each next member of an infinite sequence.

Mathematical identities like '123 = 1728' are a clear case where the two notions come apart.

Even in the case where we algorithmically decide a mathematical proposition, the connections thereby made do not pre-exist the algorithmic decision, which means that even when we have a "mathematical question" that we decide by decision procedure, the expression only has a determinate sense qua proposition when it is decided.

We happen to inhabit a universe that is not inherently hostile to sentient life, but a strong mathematical case can be made for the simultaneous existence of other universes where the parameters for life are simply absent.

In mathematical biology, model reduction techniques have been studied for a long time, mainly in the case where a model exhibits different time scales, or different spatial phases, which can be analyzed separately.

In a first part, a mathematical analysis is made which leads to an analytical formula of the solution in the simple case where the refraction index and the absorption coefficients are constant.