Thus, take into account the previous notes and using the assumption (iii) we see that the set U ( t 2 - ε, s ) g ( s, x s + y s, ∫ 0 s e ( s, τ, x τ + y τ ) d τ ) d s, s ∈ [ 0, t 2 - ε / 2 ], x ∈ B. is relatively compact in X.
We used Adobe Photoshop CS5 and Adobe Illustrator CS6 to re-draw the venation of the 13 ingroups and three outgroups based on line drawings published in the literature (Fig. 1), with minor modifications and assumptions noted in the Fig. 1 caption.
Water quality, herbivory, and an interaction term were compared with respect to recovery status using similar pairwise testing procedures and assumptions noted above.
We note a few limitations and assumptions that are consistent with other modeling approaches of this type.
A lack of agreement on exergy analysis paradigms and assumptions is noted by the authors.
However, it should be noted that unless these claims and assumptions have been empirically tested in a range of contexts, they remain little more than conjecture.
However, without resorting to polar decomposition analysis and assumptions, we note that the Mueller matrix itself possesses interesting symmetry properties, depending on the sample's composition and structure, and thus may shed light on the tissue birefringence (in)homogeneity problem.
Combining (2.10), (2.27) and noting the assumptions on, we have (2.28).
It should be noted that assumptions (H5) and (H6) allow (3.23).
Note that assumptions (2.27) and (2.28) are satisfied for L = 0.
