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We obtain different conditions on the symbol φ which characterize when the composition operator is mean ergodic and uniformly mean ergodic in the corresponding spaces.
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This can be captured by expressing the solution A of Equation 5.1 as a combination of a fixed wave profile A0 that is displaced by an amount Δ t) from its uniformly translating mean position ξ = x - ct, and a time-dependent fluctuation Φ in the front shape about the instantaneous position of the front: A ( x, t ) = A 0 ( ξ - Δ ( t ) ) + ε Φ ( ξ - Δ ( t ), t ).
Pair-wise nucleotide distance between sequences within individual colonies was uniformly low (mean intra-genomic distance = 0.005 ± 0.001 SE).
One of its core ideas is that courts should pursue many of the same social-justice ends that the Warren Court sought to advance, only using more modest, less uniformly activist means — always acting in conjunction with progressive political movements.
Note that this transformation will occur uniformly, which means that it will increase or decrease the brightness of each pixel by the same magnitude.
The above proposition shows that HS scheme is another way of construction of the uniformly-layered Rainbow, where "uniformly-layered" means all components in the parameter of Rainbow are equal.
However, many of these algorithms assume that scene is illuminated uniformly and shadows mean that this assumption is not always valid for outdoor scenes.
We refer to expressions like (Theta ) or (Xi ) as "curvature terms" simply for convenient shorthand; by "uniformly finite" we mean the integrals are bounded independently of certain parameters built into the functions (eta ) and/or (kappa ).
Furthermore, it is shown that an appropriate set of EPLs (for load-effects that are compounded by loading in the vicinity of the load-effect) can be approximated using a standardised EUDL (dependent on the area over which it acts) on the critical structural bay(s) in the vicinity of the load-effect, together with a constant (mean) uniformly distributed load acting on the other structural bays.
Although there are inconsistencies in the methodologies used in the various studies, the uniformly positive outcomes mean it should be considered for all cardiac arrest survivors irrespective of the causative arrhythmia.
The slope of the green line is the (uniformly weighted) mean treatment effect, that of the blue line the weighted mean treatment effect, the latter corresponding to the result of a meta-analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com