Sentence examples for remove the condition of from inspiring English sources

However, in this paper we remove the condition of boundedness imposed on the activity functions (f_{j}), (g_{j}), (h_{j}) of (1).

These results show that we can remove the conditions of being weakly commutative and weakly without order which are used in the work of M. E. Gordji et al. (2011) for Banach algebras.

A City Council committee last week approved amendments to the law that removed the condition of corporate contributions.

Guseman [2] extended Sehgal's result by removing the condition of continuity of and weakening (1.1) to hold on some subset of such that, where, for some, contains the closure of the iterates of.

This paper is motivatedand inspired by the recent paper [5] and its aim is to extend the results to the setting of Hausdorfftopological vector spaces with mild assumptions and removing the condition of beinglocally non-positive at a point has been applied in Proposition 3.3 of [6] and lower semi-continuity of the parametric mapping used inTheorem 3.2 of [6].

While the idea itself is absurd, the point of the exercise is to shift perspective by removing the conditions of why it wouldn't work.

Note that, in this theorem we remove the condition "there exists an with " of Theorem 3.2.

If we remove the condition that " is not Dirichlet eigenvalue of the Laplace operator in," instead of it by the assumption that Im , then Theorem 2.1 in Section 2 and Theorem 3.3 in Section 3 are also true.

While it was possible for Schulz to remove the conditions by the end of October by "burning the midnight oil", it was reported that "this is an optimistic view of the situation shared by few".

In this paper, we shall further improve this theorem by using the weighted Ricci curvature condition and remove the term of the S-curvature.

It is possible to remove the heavy condition of continuity of the self-mapping f in Theorem 2.5.