Sentence examples for proved a special case from inspiring English sources

We notice that in 2001 Tasković proved a special case of this statement on a transversal upper edges T-space (X:= X,M_{u,v}(t))).

By employing the Leray-Schauder nonlinear alternative, the existence of mild solutions is proved, a special case of this result is given.

We notice that in 2001 Tasković proved a special case of this statement on a transversal lower edges T-space (X:= X,M_{u,v}(t))).

The name given to this theorem comes from the fact that before Kato proved Theorem 13.3, Rosenblum [528] proved a special case that motivated Kato: namely, if A and B have purely a.c.

As far as we know, the first iteration process to approximate a solution of (0in Au) in real Banach spaces more general than Hilbert spaces and which does not involve either of these setbacks was given by Chidume and Djitte [39] who proved a special case of Theorem 1.1 in which the space E is a 2-uniformly smooth real Banach space.

As an application, the result is used to prove a special case for the reverse Hölder inequality.

We have proved that a special case which leads to a linear interpolation – named Scheme Interpolation – is the most efficient combination.

The second theorem we prove is a special case of Conjecture 1.6 with the extra condition that.

Although Ikea has 20 stores across Italy, Vecchiano proved to be a special case.

The transport of arsenic proved to be a special case unto itself, with its transport efficiency increasing to 90% when vaporized in the presence of SF6 (a three-fold improvement over all other carrier mixtures) due to the formation of volatile AsF5.

North Wales proved to be a special case, as there were concerns that Charles II might lead a Presbyterian uprising in Scotland and mount a sea-borne attack on the region.