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An optimal regularity is always important for mathematics and physics in the classical functional frame with minimal regular given datum, for example, in the Lebesgue spaces (L^{p}) and Sobolev spaces (W^{1,p}) with p as a fixed constant in ((1,infty)).
As the serial poem continues, the poet's ideas become increasingly reliant on words rather than images to do their intellectual work, until all that can be seen are words inside a frame and--finally--words without any functional frame whatsoever.
Multiple cortical representation of muscles controlling hand/fingers, represents the functional frame for the extraordinary repertoire of movement strategies (i.e. concerted actions orchestrated by many –sometimes the same- muscles acting on different joints at different times [24], [37], [47]).
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Since then this space has been one of the important functional frames in mathematical analysis, and especially in real and harmonic analysis.
This spirit lives on in Snell's sparsely yet elegantly functional steel frame.
Nucleotide sequence alignments were constructed in ClustalX (v. 1.82 [ 33]) and subsequently translated to amino acids in MacClade (v. 3.0 [ 34]) to verify the functional reading frame.
We looked at the geographic signatures of oipA gene sequences in Peruvian isolates and found that 7 of the 27 isolates including the 2 hsp-Amerind isolates had an Eastern type oipA (CT < 6) signature; 4 of these had a non functional gene (frame out) (Table 1).
Interestingly, all accepted examples represented N-terminal truncations of NAIPfull, indicating the existence of numerous potentially functional in-frame translation initiation codons (Figure 5a, Figure S6).
Michel Bitbol has analyzed the relational interpretation of quantum mechanics from a Kantian perspective, substituting functional reference frames for physical (or naturalized) observers (Bitbol 2007).
Incomplete penetrance of phenotypes induced by some transgenic gRNAs is usually due to functional in-frame mutations.
Weaker phenotypes could arise either through a reduced frequency of induced indel mutations or because functional in-frame mutations at the specific gRNA target site provide a significant fraction of cells with functional protein.
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