Sentence examples for using the similar arguments from inspiring English sources

Using the similar arguments to those in [37], we can prove system (3.1) is dissipative.

Using the similar arguments to those in the proof of Theorem 3.1, we get the desired result immediately.

Using the similar arguments of (3.2), we have 〈 ξ, r ( x ¯, ξ ) 〉 ≥ ∥ r ( x ¯, ξ ) ∥ 2. Combining this and (3.9), we know that r ( x ¯, ξ ) = 0 and thus x ¯ is a solution of problem (1.1).

Now, using the similar arguments as in the proof of Theorem 3.1, we obtain the following result by replacing T by P T, and removing the strict condition T ( p ) = { p } for all p ∈ F ( T ).

end{aligned} (3.15) Using the similar arguments of (3.2), we have bigllangle F bar{x}),e(bar{x},mu_{k_{j}} bigrrangle geq frac{1}{mu_{k}}biglVert e(bar{x},mu_{k} bigrVert ^{2}.

Using the similar arguments, it is possible to generalize this to a system of an arbitrary number of particles.

Moreover, using the similar argument after (2.6) in Case 1, we get the inequality (2.2) from (2.9) in this case.

According to the conditions of Theorem 1.3, we can easily get the conclusions of Theorem 1.3 by using the similar argument as in Theorem 1.1 and Lemma 2.15.

By using the similar argument as in the proof of Theorem 3.1, we can readily prove that condition (iii) of Lemma 2.7 is also satisfied.

By using the similar argument, for ( 1 A, { ( 1 A, 1 B ) }, b ) ∈ A c p # α f B, there exists ( x, P, y ) such that.

if δ ( P j, θ ) < 0. Then using the similar argument to that of Theorem 1.1 and only replacing (3.2) (or (3.3)) by (3.6) (or (3.7)), we can prove Theorem 1.2.