Sentence examples for minimal such that from inspiring English sources

By Lemma 2.3, there exists a minimal such that.

(i there exists a minimal such that and ; (ii there exists such that.

If is compact and continuous, then there exists a minimal such that.

(i there exists a minimal such that and ; (ii there exists a maximal such that.

Welding heat input variation corresponding to each joint configuration was kept to a minimal such that the objective of investigating, exclusively, the effect of varied weld volume on the mechanical and metallurgical performance of these joints could be accomplished.

Next, let be minimal such that (53).

It is easy to see that Find-Branching-Pathways is computationally hard by considering a related problem, Find-Minimal-Pathway, where we try to find the pathway P with minimal size such that Z O (P, S, T) ≥ w. (Find-Minimal-Pathway).

Let m be the minimal integer such that there is a non-compact m-homogeneous polynomial P∈P mX;ℓ1).

Let u be the minimal index such that (x_0,ldotsdots,x_nin G_u).

Since is weakly closed, it follows from Lemma 3.13 that has a weakly minimal point such that for all.

Indeed, let N be a normal subgroup of G and let i be the minimal index such that (Ncap G_{i+1}ne 1).