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One may suppose, for example, that in some period of political crisis the supply of crude oil from the Middle East is cut off.
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From the prior estimation executed in the proof of Theorem 3.1 in [1], without loss of generality, we may suppose that, for almost all (tin I), all (uin H), and all (h(t)inmathcal{F} t, u)), we have (Vert h(t Vert _{H}leqpsi(t)) where (psiin L_^{q}(I)).
This effect may suppose an advantage for A. iberus, since macrophytes provide refuge and a food supply for this small fish.
The good student, we may suppose, is responsible for having produced good academic work.
A concentration of 0.5% in sulphur (dry weight basis) and moisture of 40% were proposed as the optimum conditions to decrease the compost pH by 1.1 units without increasing in EC to levels that may suppose a limitation for its agricultural use.
Without loss of generality, we may suppose that (x t)>0) for (tgeq{t_{1}}geq{t_{0}}).
We may suppose that (x_{n+1}neq x_{n}) for all (ninmathbb{N}cup{0}), otherwise T has obviously a fixed point.
Without loss of generality, we may suppose that (x_{n+1}neq x_{n}) for all (ninmathbb{N}cup{0}). Since T is α-admissible, then alpha(x_{n},x_{n+1} geq1,quad forall n inmathbb {N}.
Without loss of generality, we may suppose that (|phi z_{n})|>frac{1}{2}) for all n.
Therefore, we may suppose that (x_{n}neq x_{n+1}) for any (ninmathbb {N}).
Without loss of generality, we may suppose that and hold on for all.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com