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Thus, by applying Eqs.

Thus, by applying Theorem 2.2 to (2.23), we complete the proof of Theorem 2.3.

Thus,, by applying Theorem 3.9, we know that (VQVI) is type I LP well posed.

Thus, by applying Theorem 3.1 and Theorem 3.2, respectively, we can obtain the following results.

Thus by applying (2.4), the BVP (1.1) reduces to the modified boundary value problem (2.3).

Thus, by applying Theorem 2.1, n has a fixed point, which is (u=0).

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Thus, for by applying Lemma 2.2, we have (2.9).

Along with in-depth interviews to obtain input from coastal stakeholders, an indicator framework for the impact of seawater desalination plants was thus developed by applying the concept of Integrated Coastal Management (ICM).

The security is thus addressed by applying access control strategy coupled with user account management.

In maintenance problems, the desired real data cannot easily be found, thus decision making by applying expert knowledge is the only way.

Thus we get by applying the integrability condition (H37) that says that ∫ Ω [ f 1 ( x, u ( x ) ) ] l d x < + ∞, namely, f 1 ( x, u ) ∈ L l.

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