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

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

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]).

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

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].

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

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

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.

The asymptotic stability follows using the same arguments as in the case of P 2. □.

Using the same arguments as in the proof of Theorem 2.1, we have.

Our proof is based on the same topology arguments as in the proof of Lemma 3.1.