pre hilbert norm

pre hilbert norm的基本解释

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准希耳伯特模

与pre hilbert norm相关的网络例句 [注：此内容来源于网络，仅供参考]

When aborted rats were injected with 10 IU/g IFN-γin group D, compared with group A, expression of TNF-αinmmuopositive substance in the nucleus pre-opticus medialis, nucleus supra-opticus, nucleus pre-opticus mango celluaris, nucleus periventricularis hypothalami, nucleus paraventricularis hypothalami, nucleus arcuatus hypothalami were highly increased, conversely, the ones in the nucleus pre-opticus suprachiasmaticus, neurohypophsis, adenohypophysis, ovary were obviously decreased, the change in the uterus was not remarkable; Compared with group B, expression of TNF-αin the arcuatus hypothalami was obviously enhanced, while in the nucleus pre-opticus suprachiasmaticus, nucleus pre-opticus mango celluaris, nucleus periventricularis hypothalami, nucleus paraventricularis hypothalami, nucleus ventromedialis hypothalami, nucleus dorsomedialis hypothalami, neurohypophsis, pars intermedia, ovary, the results were on the contrary, the uterus had no significantly variation; Compared with group C, expression of TNF-αin the nucleus pre-opticus medialis, nucleus supra-opticus, nucleus paraventricularis hypothalami, nucleus arcuatus hypothalami, adenohypophysis and pars intermedia had an obviously risen trend, however, the variation in the nucleus pre-opticus suprachiasmaticus, nucleus periventricularis hypothalami, neurohypophsis, pars intermedia, follicle and corpus luteum was completely opposite, uterus had no obviously change.

外源腹腔注射10 IU/g IFN-γ后，同A组相比：D组TNF-α免疫阳性产物在下丘脑视前内侧核、视上核、视前大细胞核、室周核、室旁核、弓状核显著增高，在视交叉上核显著降低，在其它核团较A组无显著差异，在神经垂体、垂体前叶、卵巢中阳性产物表达均较A组显著降低，在子宫中的表达较A组变化不明显；同B组相比：D组TNF-α免疫阳性产物在弓状核显著增高，在视交叉上核、视前大细胞核、室周核、室旁核、腹内侧核、背内侧核、神经垂体、垂体中间部、卵巢各部阳性物质表达均显著降低，在子宫表达变化不显著；同C组相比：D组下丘脑视前内侧核、视上核、室旁核、弓状核、垂体前叶与中间部均显著增高，在视交叉上核、室周核、神经垂体、卵泡、黄体中均显著降低，子宫中表达变化不明显。

The research of this thesis focuses on the infimum and supremun of self-adjoint operators in a complex Hilbert space with respect to the Gudder order, the infimum and supremun of operators in a complex Hilbert space with respect to the *-order and theΓ-inverse of operators in a complex Hilbert space.

本文研究内容涉及Hilbert空间上自伴算子关于Gudder序的上确界和下确界，Hilbert空间上算子关于~*-序的上确界和下确界以及Hilbert空间上算子的Γ-广义逆这三个方面的内容。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

与pre hilbert norm相关的网络解释 [注：此内容来源于网络，仅供参考]

pre hilbert norm：准希耳伯特模

practical unit 实用单位 | pre hilbert norm 准希耳伯特模 | pre hilbert space 准希耳伯特空间