Sentence examples for case in the classical from inspiring English sources

This is also the case in the classical texts we used.

But it is not clear how to prove the existence of the fixed point from the convergence of the orbits, which is the case in the classical proof of the Banach contraction principle.

In fact, when (s=0) and (gamma =0), this is the setting of the critical case in the classical Sobolev inequalities, which started this whole line of inquiry, due to its connection with the Yamabe problem on compact Riemannian manifolds [2, 43].

The calculation of these cohomologies is mostly done on a case-by-case basis in the classical types using realizations of the relevant objects as matrices.

The former demonstrates that this metabolism is dependent on P450scc activity [30], while the latter indicates positive regulation by cAMP, as it is in case of the classical steroidogenic pathway that starts from the cholesterol [1], [31].

This activation depends on the structural changes imposed on the antibody molecule after binding to antigen and, at least in case of the classical pathway of complement, on the distance or density of antigen-bound antibodies.

(As is often the case in the stories of Classical Greece, barbarian achievements worthy of respect lie in the past).

This is fine as long as the definitions by transfinite recursion do not make case distinctions such as in the classical ordinal cases of successor and limit.

For instance, this eigenvector has a geometric distribution in the case of the classical single peaked fitness landscape.

It is proven that at lower mass velocities, the system acts stably as in the case of the classical model of a single beam on an elastic foundation.

In the case of the classical PID controller we show that design can be done without the exact knowledge of neither robot nor actuator parameters.