Sentence examples for using the same ideas from inspiring English sources

Then, using the same ideas and argument, we also prove that converges strongly to a fixed point of.

b The proof of this fact follows by using the same ideas made in the case D 1, p ( R N ) ; see [41].

By the inequality (4.7) and using the same ideas as in the proof of Theorem 4.2, we can deduce this theorem.

x ∈ R N. The proof of this lemma follows using the same ideas made in [30] and [31], for a bounded domain.

Then we have (lim_{n rightarrow +infty} |x_{n} -T(x_{n})| = 0), i.e., ({x_{n}}) is an approximate fixed point sequence of T. Using the same ideas in the proof of Theorem 3.1, we get the following fixed point result.

Now, taking Λ ∗ ≤ Λ it follows that f ( u ) | x | − a p ∗ | u | p − 2 u ≤ V k, for every x in B r c, which give us f ( u ) ≤ V k | x | − a p ∗ | u | p − 2 u, in B r c. □. a The proof of this fact follows by using the same ideas made in the usual Sobolev spaces; see [40].

"We're using the same idea for shootings in Milwaukee".

Apple is using the same idea with this ad.

The proof follows using the same idea as in the previous one, so we omit it.

Using the same idea this time, we will use these Co-Ni nanowires to produce nanolaser.

end{aligned} Using the same idea of proof (7), we can obtain the proof of (8).