A similar translation is used in Odintsov and Wansing 2010 to embed C into a modal extension BS4 of Belnap and Dunn's four-valued logic.
Owing to [[19], Theorem 7.2], the embedding C 1 ( D ¯ ) ⊂ H y 1, r ( D ) is dense for every r ≥ 1.
It is worth specifying that the proposed approach takes into account more than a single direction for embedding C bits in each block to properly manage errors during the extraction process.
LabVIEW supports the creation of GUIs running on the debug host (PC), supports embedding C code inside a VI, during design simulation or test, the VI design environment can be used as a debugger by showing the values on data variables when it stops.
Since ( H, ∥ ⋅ ∥ ) is compactly embedded in C ( [ 0, T ], R N ) (see [27]), we claim that there exists a positive constant C 1 such that ∥ u ∥ ∞ ≤ C 1 ∥ u ∥, (2.3).
Moreover, the interaction between the embedded Cyt c and Zn2+ in ZIF-8 crystals also might contribute to the enhancement of the catalytic activity of Cyt c (Lyu et al. 2014; Ge et al. 2012).
Since p > N and q > N, W 0 1, p and W 0 1, q are compactly embedded in C 0.
It is easy to check that W ( 0, T ; V ) is continuously embedded into C ( 0, T ; H ) which denotes the space of continuous functions.
Since H 0 1 ( − T, T ) is a Hilbert space, compactly embedded in C ( [ − T, T ] ) the proof of the (PS -condition is easier.
Since the space (W_{0}^{1,2}(mathbb{R}_,mathbb{C}^{m})) is continuously embedded into (C( mathbb{R}_,mathbb{C}^{m})), the Banach space of bounded continuous functions on (mathbb{R}_).
The technical significance of the restriction α > d is that these are the indices such that there exists an embedding H α ( D ) into a H α 1 ( D ) with d / 2 < α 1 < α, which is of Hilbert Schmidt typec due to Maurin's theorem and H α 1 ( D ) is embedded into C ( D ¯ ) due to the Sobolev embedding theorem.
