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The estimates we obtain from the analysis represent the best achievable performance that may be obtained from a heat engine.
We obtain from Lemma 2.2 and that.
Since, then, we obtain from (4.16) that.
Set, we obtain from that (2.20).
Therefore, we obtain from (2.9) that (2.10).
Taking, we obtain from Lemma 2.1 (3.4).
We obtain from (6) that ({u_{n}}) is not oscillatory.
Therefore, we obtain from Theorem 3.1 that F ( S ) ≠ ∅.
If φ ≡ 0, we obtain from Theorem 3.1 the following.
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