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We consider rearrangement invariant quasi-normed spaces (E hookrightarrow L^{1}(Omega)) such that (|f|_{E}=rho_{E}(f^{ast})
We shall consider rearrangement invariant quasi-Banach spaces E, continuously embedded in L 1 ( R n ) + L ∞ ( R n ), such that the quasi-norm ∥ f ∥ E in E is generated by a quasi-norm ρ E, defined on M + with values in [ 0, ∞ ], in the sense that ∥ f ∥ E = ρ E ( f ∗ ).
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In all cases, we considered rearrangements in unichromosomal genomes consisting of directed markers and limited the evolutionary process to inversions.
Considering rearrangements in the archaeobatrachians Leiopelma archeyi and Leptolalax pelodytoides [ 24, 27], accelerated substitution rates may be lineage-specific features, rather than accompanying gene rearrangement.
Last, GeSICA is a general method of genome segmentation from Hi-C data that does not consider the rearrangement of the cancer genome, although genome rearrangement might affect inferred organization.
We developed an approach where we model chromosomes as graphs on which we compute different stability estimators; we consider genome rearrangements as well as the effect of gene insertions and deletions.
Different to seepage theory, viscous shear theory considers the rearrangement of overall C S H particles under shear force.
Considering the rearrangement of nanostructure under external or internal stress, the dislocation site (i.e. defects) in C S H is likely to be a major factor.
Considering the rearrangement inequality, we could tell that (1) is effective in the case where (d(x_{j+1}, x_{j+2})) is much smaller than (d(x_{j}, x_{j+1})).
The considered atomic rearrangement model appears then also to be in agreement with some formerly discussed catalytic effects, which under specific conditions, favorize the growth of diamond and more diamond-like carbon films.
Namely it considers secondary rearrangement processes at the back of the structural front.
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