The phrase "proceed along the same lines" is correct and usable in written English.
It implies that in order to reach a desired goal, a similar strategy should be followed as that which has been used thus far. For example, "The project has come far since its inception, so in order to reach completion, we will need to proceed along the same lines we have already established."
We initially proceed along the same line as in Refs. [8], [9], and study the information transfer in autonomous systems.
Similarly, by proceeding along the same lines as in (3.11) and (3.12), we can show that (3.10) tends to 0 as n → ∞.
Proceeding along the same lines, SURFCOMP [21] uses a graph matching to identify correspondences between shape (local curvature) critical points of the molecular surfaces being compared.
Then proceeding along the same lines as in the proof of Corollary 1 in Slud (1993), we conclude that the set of polynomials is not dense in L(^{2}({mathbb {R}}, f(x dx)).
Proceeding along the same lines as in the proof of Lemma 2.5 in [36], for a given ϵ > 0, there exists n 0 ∈ N such that G ( y n, y n, y m, ϵ ) > 1 − λ and H ( y n, y n, y m, ϵ ) < λ (3.5).
The proof is based on an approach used in [3] and proceeds along the same lines as the that of Theorem 2.1 with an additional element in which we approximate the domain (Omega ) by convex polytopes.
Proof Proceeding along the same lines as in the proof of Theorem 3.2, we know that { g ( x n ) } and { g ( y n ) } are Cauchy sequences in the complete metric space ( X, d ).
Proof of Proposition 2. Proceeding along the same lines as in the proof of Proposition 1 we need to show that Π ( f 0 ) = f 0 q ( f 0 ) - c ( q ( f 0 ) ) (21). is a convex function of f0(s).
Proof Proceeding along the same lines as in Theorem 2.1, we obtain a non-decreasing sequence ( x n ) converges to x, a non-increasing sequence ( y n ) converges to y and a non-decreasing sequence ( z n ) converges to z for some x, y, z ∈ X.
