Sentence examples for considering the map from inspiring English sources

Proof The proof follows directly from the previous theorem by considering the map J : α ↦ { j }.

The rigid solid is obtained by considering the map X ∗ = I, where I denotes the identity map.

The numerical results show the importance of considering the MAP arrival process and PH service process in the performance evaluation and capacity planning of call centers.

Similarly by considering the map (p_2) from (M = P' oplus C) to (P') we have (B cong C cap B oplus J) for some submodule (J) of (P').

Qualcomm Ventures and Li have some experience in this space considering the map crowdsourcing startup Waze, which was just purchased by Google for around $1.3 billion, was one of the QV portfolio companies.

In [4], Rhoades and Temir established the weak convergence of the sequence of the Mann iterates to a common fixed point of T and I by considering the map T to be I-nonexpansive.

This is interesting considering the maps feature on the iPhone app is powered by Google Maps.

The "Related work" section describes some related studies considering the mapping of the concepts in a Pentest context.

By considering the mapping in Remark 3.5, we note that the converse of Proposition 3.7 is not true (see [4]).

Proof This result follows from Theorem 2.9 by considering the mapping α given in the proof of Theorem 3.1.

Ilić and Rakočević [9] determined some common fixed point theorems by considering the maps on cone metric spaces.