Consider the associated sheaf theoretical and D-module integral transforms given byΦSF=Rg!f−1F[d] andΦSM=g!f−1M, whereRg!andf−1 resp.gandf−1) denote the direct and inverse image functors for sheaves (resp. for D-modules), andd=dS−dYis the difference of dimension betweenSandY.
varvec{P}_{i} = Delta varvec{l}^{(i }, (10) varvec{Y}_{i} = varvec{G}^{(i + 1)} varvec{G}^{(i }, (11 where ∆l (i) is the difference of cable dimensions between last two iterations, G (i) is the gradient vector of boresight directivity with respect to cable dimensions in the ith iteration.
If g has roots in Fqm, then we do not necessarily have equality and we prove that the difference of the dimensions of the two codes is bounded above by the number of distinct roots of g in Fqm.
As Table 6 and Figure 6 indicate, (1) the proportion difference of the four dimensions of PCS of the female victims is smaller than that of male victims.
Besides the obvious differences of their dimensions, rods and spheres differed in ATP content, which was about 50-fold lower in spheres, and a slower sedimentation of spheres.
With the same apparent interfacial tension, the mass transfer unit height decreased hyperbolically with the increase of the overall interphase volume mass transfer coefficient, despite the differences of column dimensions, experimental systems and operating conditions.
Chi-square test was used for testing the differences of five dimensions, and Kruskal-Wallis test for comparing the utility scores and VAS scores.
Authors have difference of opinion about dimensions of entrepreneurial orientation, as (Lumpkin & Dess 1996) mentioned that there are five dimension of entrepreneurial orientation i.e. proactive, innovativeness, risk taking, autonomy and competitive aggressiveness.
Although similar to labial brackets, lingual brackets feature several differences in terms of dimensions and clinical features, and labial mechanics cannot be applied to lingual devices[29, 30].
This is evident from the opposite signs of the relative difference of the fractal dimensions as well as from the behaviour of the Minkowski functional curves.
