Sentence examples for as in the argument of from inspiring English sources

As in the argument of Step 1, the solution of (3.7) denoted by (v_{2} z,u_{1},cdot)) exists and is unique on ([tau,2tau]), and (v_{2} z,u_{1},cdot)) is continuous with respect to ((z,u_{1})) on ([tau,2tau]).

As in the arguments of Theorems 3.1 and 3.2, we conclude similarly the following results and omit their proofs.

Locke's importance as a political philosopher lies in the argument of the second treatise.

In fact, this problem occurs as a result of a failure in the argument of Carpenter et al. [ 18].

As in the case of Napster, the argument of the radio stations did not succeed in court.

But Mary Alexander, president of the American Trial Lawyers Association in Washington, dismissed as "anecdotal" the arguments of tort reformers.

(4.5) By the same arguments, as in the proof of Theorem 3.1, we can prove that (x_{n}to v) as (ntoinfty).

Then, just as the argument in the proof of Case 1, we obtain lim n → ∞ v n = v ¯.

The rest of the argument follows as in the proof of Theorem 4.1 and is omitted.

Following the same line of arguments as in the proof of Theorem 2 of Shao [14], we can obtain (3.14) and (3.15) immediately.

For the proof of we use the same argument as in the proof of part (2.11).