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All of the above motivates our Assumption 5 on the connection closing interval.
The databank's closing interval was from mid-February 2013 to end of March 2013 (6 weeks).
It is calculated using the closing interval of the tricuspid valve (pulsed-wave doppler spectra, mid-oesophageal right ventricular inflow-outflow-view) and the opening time of the pulmonary valve (pulsed wave Doppler, view of mid-upper-oesophageal short axis of the ascending aorta).
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To be more precise, we give two examples for X such that ((mathcal M_{X}, d_{L})) is not separable: (i) Infinite unions of shrinking closed intervals with zero { 0 } cup bigcup_{n=1}^{infty}left[frac{1}{2^{n}}, frac{1}{2^{n}}+frac{1}{2^{n+1}}right]; (ii) Closed interval [0,1].
Since f ( x ) is continuous, f ( x n ) belongs to another bounded closed interval, so, f ( x n ) is bounded.
Similarly, we can show that F 2 : Ω 2 → X is equicontinuous on a finite closed interval on ( 0, ∞ ).
But it is well known that the boundary of a nonempty (closed) interval cannot be its retract (see [19]).
Further note that Fix(g) is a nonempty closed interval if g is a nonexpansive self-map of [0,1].
Let (I subset mathbb {R}) be a nonempty closed interval and ([alpha,beta]) be a nonempty functional interval in (AC(I)).
Let I be a finite closed interval [ m, M ] on R and C ( I ) the space of all continuous real-valued functions defined on I.
From (11) and (12), we infer that F 1 : Ω 1 → Y is equicontinuous on a finite closed interval of ( 0, ∞ ).
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