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 different An example shows that the differentiable structures can indeed be different, even though they are isomorphic. the volume computations involve several different methods according to the parity of dimension, subgroup relations and arithmeticity properties. Our proof is based on a different approach and is much more rigorous. In the process we study the properties of different homogeneous models for ${\mathbb H}H(n).$ The constants obtained are independent of the dimension n and depend only on k,p, and the number of different eigenvalues of the matrix B. These two operators are different than those considered thus far and more general. Examples are presented demonstrating that the condition to be Pompeiu in these manifolds is quite different from the corresponding condition for a torus of the same dimension. The connection with multiresolution wavelet analysis is based on families of pseudodilations of a different type. This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions. We use a different approach which allows to establish that the one-sided Sawyer Ap weights are the natural ones to study the boundedness and convergence of that series in weighted spaces. The term "multiscale" indicates that the construction of H(m) is achieved in different scales by an iteration process, determined through the prime integer factorization of m and by repetitive dilation and translation operations on matrices. If that collection forms a frame for $\mathcal{M}$, one can introduce two different types of shift-generated (SG) dual frames for X, called type I and type II SG-duals, respectively. It is also shown that the Hermite-Triebel-Lizorkin and Besov spaces are, in general, different from the respective classical spaces. This progress is situated at three different levels. Chemical feature based pharmacophoric alignments were used to develop models using different fields viz. AR inhibitors belong to different chemical classes, one of which comprises pyridazinone analogues. We used different substituted isatins as starting materials. Synthesis and evaluation of five different N,N-disubstituted aminoethanol ester derivatives of indomethacin bearing structural resemblance to the aminoethanol ester class of anticholinergics are reported herein. Expression of OPN in rat kidney with different doses of vitamin K3 injection To determine the serum levels of vascular endothelial growth factor (VEGF) at different stages of diabetic nephropathy.

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2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社