Sentence examples for the singular case from inspiring English sources

Since Lerner's departure, Curitiba has begun a backslide that threatens its status as the singular case of enlightened planning.

We recently characterized the spectral flow of such paths in the singular case.

It is possible to become a legend and be forgotten, or, as in the singular case of Gloria Swanson, to become a legend for having been forgotten.

A comparison is made with the results of nonrelativistic MHD, and with the singular case of zero longitudinal magnetic field.

Then we proceed to prove that under certain assumptions, the spectral flow of paths along these operators is the same in both the smooth and the singular case.

In the singular case we show that the second derivatives uxixj of a solution of the Cauchy problem belong to L2.

Solutions for avoiding the singular cases of the fuzzy-based function approximation and reducing the calculating cost are proposed.

Later, we'll see that in a sense, case (1) is generic among the singular cases.

We also provide related examples that the functional equations (1.7) and (1.8) are not stable for the singular cases.

Some related examples for the singular cases of these new functional equations on an Archimedean field are indicated.

For parameter independent boundary conditions, i.e., (k=0), characterizations of self-adjointness for A in the case of formally symmetric even order quasi-differential expressions are known both for the regular and the singular cases, see [1] and in particular [1], Theorem 6 for the regular case.