Sentence examples for implies b1 of from inspiring English sources

Clearly, (b2) of Definition 4.2 implies (b1) of Definition 4.1.

This implies (c2) of Definition 3.4.

Then the sequence { x n } Δ-converges to a fixed point of T. Remark 3.6 Our Corollary 3.5 improves Theorem 3.1 of He et al. [6] (see Theorem 1.1) because (C1′) of Theorem 1.1 implies (C1) of Corollary 3.5.

One measure from Credit Suisse implies 180 basis points of tightening over the next 12 months, taking the cash rate to 5.25percentt.

which together with (3.19) and Lemma 2.2 implies (1.3 2 (the secondinequality of (1.3)).

It remains to verify the quasi-orthogonality (B3) which implies (A3) by virtue of Lemma 3.7.

Monotonicity of implies (4.33).

Hence, pseudoinvexity of implies (5.10).

The self-adjointness of implies (3.8).

Thus the monotonicity of implies (2.15).

Then, the -preserving property of implies (4.7).