It should be mentioned that in Theorem 3.1 we pose an assumption on without assuming that possesses lower semicontinuity properties, while in the original Caristi theorem no assumption was made on the mapping, but the function was assumed to be lower semicontinuous.
The major part of the appearance-based techniques presented above is applied on features that verify the pose similarity assumption.
The results are found to agree within the constraints posed by the model assumptions.
The choice of such a non-physical background scattering model is necessary in order to correct for the ill-posed assumption that γ is wavelength independent; the background scattering model needs sufficient freedom in this first step to correct for this assumption.
The crystallized region is localized near the core surface and hence the assumption posed in deriving Eq. (6) is not violated.
Chip Reid of CBS News who, as you read in my prior blog, posed a false assumption question in Obama's first press conference, came back at him again in this session, "Some republicans on Capitol Hill--John McCain and Lindsey Graham, for example--have said that up to this point, your response on Iran has been timid and weak.
We followed the assumption posed by Morais-Cabral et al. that the potential profile of permeation was symmetrical, which rendered the number of the free parameters less.
With respect to [2], the HCoSaMP poses milder assumptions since it does not invoke any constraint on the structure (e.g. tree-based, block-based) of the sparse signal.
Because the elements of M ad [ 0, T ] are very simple, we need neither pose additional assumptions like that the control domain is compact as Warga [11] did nor introduce the relaxed control defined by finite-additive probability measure as Fattorini [12] did.
However, difficulties posed by the assumptions, their validity, and relevance of these assumptions to the real testing environment have limited their usefulness.
Compactness and noncompactness assumptions posed on the potential function V ( x ) are also discussed.
