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11.
《Mathematische Nachrichten》2017,290(5-6):913-919
We consider grand Lebesgue spaces on sets of infinite measure and study the dependence of these spaces on the choice of the so‐called. We also consider Mikhlin and Marcinkiewicz theorems on Fourier multipliers in the setting of grand spaces. 相似文献
12.
For every , we present a set of points in the plane such that every planar 3-tree with n vertices has a straight-line embedding in the plane in which the vertices are mapped to a subset of . This is the first subquadratic upper bound on the cardinality of universal point sets for planar 3-trees, as well as for the class of 2-trees and serial parallel graphs. 相似文献
13.
构造了一类新的可解群,使得其中的每个成员均不能同构于M-群的正规子群,推广了R.W.van der Waall关于M-群的一个类似结果. 相似文献
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The star graph is one of the most attractive interconnection networks. The cycle embedding problem is widely discussed in many networks, and edge fault tolerance is an important issue for networks since edge failures may occur when a network is put into use. In this paper, we investigate the cycle embedding problem in star graphs with conditional faulty edges. We show that there exist fault-free cycles of all even lengths from 6 to n! in any n-dimensional star graph Sn (n ? 4) with ?3n − 10 faulty edges in which each node is incident with at least two fault-free edges. Our result not only improves the previously best known result where the number of tolerable faulty edges is up to 2n − 7, but also extends the result that there exists a fault-free Hamiltonian cycle under the same condition. 相似文献
17.
The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number 下载免费PDF全文
Kazufumi Ito Zhilin Li & Zhonghua Qiao 《advances in applied mathematics and mechanics.》2012,4(1):21-35
In this paper, numerical sensitivity analysis with respect to the
Reynolds number for the flow past obstacle problem is presented.
To carry out such analysis, at each time step, we need to solve the
incompressible Navier-Stokes equations on irregular domains twice, one for the
primary variables; the other is for the sensitivity variables with
homogeneous boundary conditions.
The Navier-Stokes solver is the augmented immersed
interface method for Navier-Stokes equations on irregular domains.
One of the most important contributions of this paper is that our analysis
can predict the critical Reynolds number at which the vortex shading
begins to develop in the wake of the obstacle. Some interesting experiments are shown
to illustrate how the critical Reynolds number varies with different
geometric settings. 相似文献
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19.
NIR光谱的LLE-PLS非线性建模方法及应用 总被引:5,自引:1,他引:4
传统的偏最小二乘(PLS)建模方法不能有效反映近红外(NIR)光谱与分析样本的物理化学性质之间存在的非线性关系。局部线性嵌入(LLE)是一种新的非线性降维方法,属于流形学习方法,它能有效地发现高维数据中的本真低维结构。结合LLE和PLS,提出一种近红外光谱非线性建模的新方法,并用于建立丹参多酚酸盐柱层析过程中丹酚酸B含量的回归校正模型。该方法首先用LLE对NIR光谱数据降维,再用PLS建立校正模型。结果表明,与多元散射校正、一阶导等预处理方法结合PLS建模比较,参数优化后的LLE-PLS方法能更准确地预测丹酚酸B的含量,其交叉验证均方根误差为0.128 mg·mL-1、决定系数为0.998 8。基于NIR光谱及LLE-PLS建模,可实现丹参多酚酸盐柱层析过程的在线检测。 相似文献
20.
Veli B. Shakhmurov 《中国科学A辑(英文版)》2008,51(7):1215-1231
The unique continuation theorems for the anisotropic partial differential-operator equations with variable coeffcients in Banach-valued Lp-spaces are studied.To obtain the uniform maximal regularity and the Carleman type estimates for parameter depended differential-operator equations,the suffcient conditions are founded.By using these facts,the unique continuation properties are established.In the application part,the unique continuation properties and Carleman estimates for finite or infinite systems of quasielliptic partial differential equations are studied. 相似文献