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Furthermore, from (i), By Lemma 2.1, we deduce that as.
Furthermore, from Lemma 3.2 I satisfies the (PS) condition.
Furthermore, from (3.11) and conditions (i), (ii) and (iii), we get that.
Proof Following the method of proof of Theorem 3.1, we obtain that x n → x ∗ ∈ C. Furthermore, from (3.10) and conditions (i) and (ii), we obtain (3.11).
Furthermore, from the fact that f ∈ Ω ∗, Theorem 2.8, and d i ( J i f, f ) ≤ 1, we get d i ( f, Q i ) ≤ 1 1 − L i d i ( J i f, f ) ≤ 1 1 − L i. and (4.2) follows.
Furthermore, from the data-driven framework, we find that government subsidies and an accurate estimation method (i.e., less K-L divergence) enhance environmental and operational benefits.
Furthermore, from Corollary 26, we obtain exactly the fixed point for Kannan mappings given in [4], i.e., Theorem 4 in Section 1.
Furthermore, from her support of punitive welfare reform legislation to mass incarceration to the "war on drugs", Clinton has a long history of promulgating anti-black legislation.
Furthermore, from about 1730, higher standards of living had reduced the mortality rate among adults considerably.
From Eq. (5a), state |Ψ I 〉 has no component of state |1〉, which indicates that it does not arouse the stimulated emission from state |1〉 to |0〉 in step I. Furthermore, from Eq. (5a), the coherence amplitude between states |0〉 and |2〉 can be calculated, which is left|{rho}_{02}right|=left| cos theta sin theta right|.
Furthermore, from 13C n.m.r.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com