Comparing these results to the concomitant expansion of the bulk phase in this temperature range shows a very similar behavior (0.6% expansion); the difference is well within the error margin of the experiment.
As an indicator of the volumetric expansion rate, the difference quotient f(t 2 ) of the normalized areas between the times t 2 and t 1 was calculated, here defined as fleft {t}_2right)=frac{Aleft {t}_2right)/Aleft 0.8 sright -Aleft {t}_1right)/Aleft(0.8;sright)}{t_2-{t}_1} (2).
Due to the index matching at room temperature, the thermochoromic behavior was caused entirely by the isotropic lattice expansion, and the difference in temperature-dependent refractive indices, of the spheres and the polymer matrix.
The inconsistent estimates of demographic expansion could be the difference between modeling an expansion with pairwise differences in the mismatch distribution analysis versus the coalescent theory in the BSP analysis.
Steel stent showed the lowest foreshortening and fully expansion pressure but the difference was much lower than that the one for dogboning.
Let also Δ n, f ( o ) be the corresponding n th partial sum as (2.20), for the Dirichlet problem (1.1 - 1.2) in case of q(x) ≡ 0. The equiconvergence of the eigenfunction expansion means that the difference Δ n, f ( x ) - Δ n, f ( o ) ( x ) uniformly converges to zero as n → ∞, x ∈ [0, π].
It discusses the difference expansion and the prediction error expansion method from five versions in detail.
Besides the resistance caused by their condescendence and bullying as colonialists in overseas expansions, the tremendous cultural differences between China and western countries, China's relatively isolated geography, the existence of a patriarchal society, and the natural economy's stubborn resistance against world trade, had all contributed to the fierce contradictions between them.
The difference expansion technique is applied to the image in row-wise and column-wise simultaneously.
The difference expansion transform,, for the quad is defined as in (10 1010 10
