- 更多网络例句与紧收敛相关的网络例句 [注:此内容来源于网络,仅供参考]
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Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.
作者给出了Canny算子与中心B样条二进小波严格的比较证明,得出如下结论:a中心B样条函数具有紧支集,Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数,中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求,并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143%。f中心B样条函数的导数可以构成稳定的二进小波,存在快速的多尺度算法;而Canny算子不构成稳定的二进小波,无法给出快速的多尺度算法。
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On this basis, we give the characterization of the compact set in E〓,τ
引入了模糊数网的最终等度左连续概念,利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件,在此基础上给出了空间E〓,τ(l中紧集的特征刻画,即空间E〓,τ(l中的闭集U是紧的当且仅当U一致支集有界,且U的每个网有在(0,1上最终等度左连续、在λ=0处最终等度右连续的子网。
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Although many results have been obtained, there are still a number of very interesting questions about composition operators unsolved. There is much more to be learned about the collective compactness and convergence of composition operator sequences, compactness of various product of composition operators, cyclicity, closed range and spectra of composition operators in various settings. Commutants of composition operators seem to be very difficult to characterize. Only a little is known about their reducing invariant subspaces. There has been no work on C〓 algebras generated by composition operators.
尽管已取得如此丰富的结果,但是关于复合算子仍然有大量非常有意义的问题值得研究,例如:复合算子序列的总体紧性及收敛性、复合算子的各种乘积的紧性、复合算子的闭值域问题、复合算子在各种解析函数空间上的谱的描述、换位复合算子的刻画、复合算子诱导的不变子空间问题、循环复合算子的研究、由复合算子生成的C〓-代数的研究、不同解析函数空间之间的加权复合算子及复合算子半群等等问题。
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It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.
主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。
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Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.
Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理,随之,刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件;之后,Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。
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Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence are proved under the condition of the weak tight, which have been used to research the some convergence of expectant functional sequence,and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
提出了弱胎紧的概念,并在弱胎紧的条件下证明了函数序列关于弱收敛概率测度序列积分的极限定理,用其研究了期望泛函序列的若干收敛性,得到了期望泛函序列的、上图收敛的一个充分条件。
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Compactness and the relation between strong convergence and weak* convergence.
紧性以及强收敛和弱收敛之间的关系。
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Using the asymptotically compact theory of Anselone' and Stepleman' theorem, the existence, the unicity , the convergence and the error estimate with O(h3) of the discrete equations are shown....
并借助Anselone的渐近紧收敛理论和Stepleman定理,证明了离散方程组的解存在性、唯一性、收敛性和精度阶O(h~3)。使用Ostrowski的不动点定理,提供了三阶收敛的迭代法。
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Inspired by these results, in this paper, we first give the definition of a new mapping ? uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space, then construct three-step iterative sequences of uniformly Lipschitz asymptotically nonexpansive mapping in this subset . We proved the convergence of this three-step iterative sequences for uniformly Lipschitz asymptoticallynonexpansive mapping, Further more, we proved this three-step iterative sequences with an error member converge to fixed points.
从中得到启发,在本文我们首先定义了一致凸Banach空间某非空紧子集上的一种新的映射——一致李普希兹渐进非扩张映射,在该紧子集上构造关于一致李普希兹渐进非扩张映射的三步迭代序列以及具误差的三步迭代序列,先来讨论三步迭代序列的收敛性,进而讨论具误差的三步迭代序列的收敛性。
- 更多网络解释与紧收敛相关的网络解释 [注:此内容来源于网络,仅供参考]
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compact convergence:紧收敛
compact 紧的 | compact convergence 紧收敛 | compact group 紧群
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topology of compact convergence:紧收敛拓扑
topology of bounded convergence 有界收敛拓扑 | topology of compact convergence 紧收敛拓扑 | topology of uniform convergence 一致收敛拓扑
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topology of compact convergence:紧收敛拓扑无忧雅思网
topology of bounded convergence 有界收敛拓扑无忧雅思网"I)~"xQ4{0}'b | topology of compact convergence 紧收敛拓扑无忧雅思网w)w9LG$V,U;_X | topology of uniform convergence 一致收敛拓扑
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kompakte Konvergenz compact convergence:紧收敛
kompakt compact 紧的 | kompakte Konvergenz compact convergence 紧收敛 | kompakter Operator compact operator 紧算子
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compact group:紧群
compact convergence 紧收敛 | compact group 紧群 | compact open topology 紧收敛拓扑
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compact open topology:紧收敛拓扑
compact group 紧群 | compact open topology 紧收敛拓扑 | compact operator 紧算子
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compact operator:紧算子
compact open topology 紧收敛拓扑 | compact operator 紧算子 | compact set 紧集
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kompakter Operator compact operator:紧算子
kompakte Konvergenz compact convergence 紧收敛 | kompakter Operator compact operator 紧算子 | Kompaktheit compactness 紧性
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topology of bounded convergence:有界收敛拓扑
topology 拓扑 | topology of bounded convergence 有界收敛拓扑 | topology of compact convergence 紧收敛拓扑
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topology of bounded convergence:有界收敛拓扑无忧雅思网
topology 拓扑无忧雅思网|i;hks | topology of bounded convergence 有界收敛拓扑无忧雅思网"I)~"xQ4{0}'b | topology of compact convergence 紧收敛拓扑无忧雅思网w)w9LG$V,U;_X