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According to Theorem in [37], (2.6) further yields (2.9).
This further yields that lim n d ( f g x n, g f x n ) = 0, which contradicts the fact that lim n d ( f g x n, g f x n ) is either nonzero or non-existent.
The Schauder estimate for linear parabolic equation further yields |v_{varepsilon }|_{C^{2+alpha"_{2},1+alpha"_{2}/2}(bar{I}"_{3}times[tau _{3},T])}leq Cbigl(d", taubigr).
The integration of NCC with structured light and epipolar geometry for the proposed 3D sensing system further yields accurate 3D reconstruction results as demonstrated in the experimental results of this research.
Analysis of the simulated network further yields other characteristic properties such as concentration of crosslink points, distribution and concentration of elastically active chains, average molecular weight between crosslinks, sol content and mass fraction of pendent chains.
Unlike the CFIE, the CFIE-R are Fredholm equations which, we show, are uniquely solvable; our selection of coupling parameters, further, yields CFIE-R operators with excellent spectral distributions with closely clustered eigenvalues so that small numbers of iterations suffice to solve the corresponding equations by means of Krylov subspace iterative solvers such as GMRES.
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While the pace of capital growth slowed through the second half (pre changes to stamp duty land tax), this was not unexpected as we forecast only a small further yield shift.
The additional electrons induced by these vacancies will promote the reactions to further yield OH· radicals.
Further, yield variations from year to year may be indicating an increasing vulnerability to weather extremes.
Our predictions are well consistent with the existing phase diagrams but further yield potential phases and their crystallographic informations.
Positive results have been obtained by targeting different yield constituents, indicating that there is ample room for further yield improvement by genetic means.
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