Sentence examples similar to provided that implies from inspiring English sources

provided that and, implying that is symmetric around the diagonal and its diagonal is zero [15].

The potential (4.17) is essentially the Novello's potential (V_mathrm{N}(Phi )), provided that (f_1=3) (which implies (Phi _infty =0)).

No dignified resignation has been provided that does not imply one who leaves is making a grave mistake and is wicked (1 Cor 5 13).

That metric implies, provided that it holds up as Wag's user base itself grows, that the company is expanding the market for dog walking, not merely servicing the extant demand pool in a new fashion.

(ii) (B) implies (C) provided that X is separated.

(iii) (C) implies (A) provided that p ( x, x ) = 0 for all x ∈ X.  .

(C) implies (A) provided that p ( x, x ) = 0 for all x ∈ X. Proof (i) Let x, y ∈ X be given.

Recall that Lemma 1 ensures that the global minimum is unique and located at the actual matrix delay, provided that Assumption 3 holds, which implies that J k ( H ∗ ) > 0 for all k.

CP violation implied nonconservation of T, provided that the long-held CPT theorem was valid.

As proposed by Fleishman et al., one clinical interpretation for items demonstrating sex-related DIF may be that men are more likely to adopt a stoic perspective and refrain from providing responses that imply weakness [ 29].

This social graph mining can be extended via instant messaging without fear of interception over email, which provides an audit trail that implies consequences for either spreading information beyond a need to know basis or not keeping superiors or lateral peers appropriately in the loop.