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However, the performance of SW-ARQ and GBN-ARQ degrades when RTT·C·log2 M is relatively large (relative to S p ).
If X is complete, then M is totally bounded if and only if M is relatively compact (its closure M̄ is a compact set).
Hence M is relatively compact in X. ⇒ Assume that M is relatively compact, then for any (epsilon>0), there exists a finite ϵ-net of M.
Our estimate of the relevant source area of pollen (RSAP) of 1050 m is relatively high compared to other studies in semi-open landscapes.
From our hypotheses we know that (B(M)) is relatively weakly compact.
Now we show that condition (i) implies that (mathbb {T}(M)) is relatively compact on X.
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The set (W (B_{M})) is relatively compact in (BC^{1}(mathbb{R}, mathbb{R}^{N})).
Now, we have to show that for each bounded sequence { x m } in P, the sequence { Q n x m } is relatively compact in C [ 0, 1 ].
Thus, { Q n x m } is relatively compact in C 1 [ 0, 1 ] by the Arzela-Ascoli theorem.
is equi-almost-periodic, which means that for each ε > 0 there exists l > 0 such that any interval (a, a + l) ⊂ R contains a number τ that is an ε- almost period for all f ∈ M. For fixed t ∈ R, the set { f ( t ) : f ∈ M } is relatively compact in the space X.
If ((mathcal{H} 1) and ((mathcal{H} 2) are satisfied, then the operator U defined by (Ux) (t):= int_{0}^{infty}ubigl t,s,x s bigr),ds is continuous on M and (U M)) is relatively compact in (C mathbb {R}_,mathbb{R}^{d})).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com