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Using spherical harmonic function expansion and finite element method,Boltzmann transport equation is solved numerically,the convergence of the method is approved.

讨论了谱有限元方法在中子测井数值模拟中的应用,用球谐函数谱展开和有限元耦合方法求解Boltzmann中子输运方程,得到了这种耦合方法的收敛性。

This dissertation consists of three chapters, in which we discuss the convergence of NA bootstrap samples.

本文共三章,主要讨论了NA随机变量序列的bootstrap收敛性。

In chapter 5 a 2D inverse technique is presented, in which the distorted Born approximation is used to speed up the convergence and the preceding INMM is employed to achieve a high speed.

第五章介绍二维低频电磁问题反演方法。为了加速收敛,采用了变形Born近似。

As a result of the interpretation of the discrete random walk model,the stability and convergence of the numerical method in a bounded domain are discussed.

接下来提出求解有界区域内的Lévy-Feller对流-扩散微分方程的显式差分格式,并且利用前面随机游走模型中的结论证明了显式格式的稳定性和收敛性。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中,对于H_0~1中的有界线性算子,用微分算子插值样条函数的方法给出了H_0~1空间中的再生核,利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式,并证明了其收敛性。

Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上,提出了一种新的线性、连续、有界算子—分段广义正交多项式算子,探讨了这种算子的基本性质,并系统地建立了与该算子有关的各种运算规则及收敛性结论,给出了它在控制理论中的各种应用。

The discussion produces some useful result:theconvergence of bounded subfeasible solution sequence and the convergence to zero of thesubfeasible dual gap.

在引入摄动的思想下,针对受摄动KKT系统,首先证明了以上四个规划问题中线性规划及其Wolfe对偶问题解的存在性,在此基础上得到一个关于其有界次可行序列收敛和次可行对偶间隙收敛到0的重要结论。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性,得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理,并指出了单调序有界模糊数列未必截收敛、收敛。

However,in this paper,it is first introduced sequential convergence C and L*- space which is a vector space giving some relation:xmCx between sequences and points in it,then the bounded set is defined in vector space.

设C为一序列收敛关系,T是由C确定的拓扑,B是由C确定的有界集族,则有B=BT(C,并进一步从L*-空间构造了包囿拓扑向量空间。

We give a brief proof of the existence theorem of Supremum and Infimum of a bounded set of fuzzy numbers given by Wu cong-xin and Wu chong in [30] . It is used to establish the monotone convergence theorem and the nest theorem of closed intervals on E〓,τ

给出了吴从忻、吴冲[30]得到的模糊数集的确界存在定理的一个简洁证明,并利用此定理在空间E〓,τ(l中建立了模糊数序列的单调收敛定理和闭区间套定理。

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The second is to cut a mere 100 calories from your diet , which is the equivalent of a tablespoon of butter.

第二个就是从你的饮食中减少一百卡路里,只是相当于一大汤匙的黄油。

This is where the Rorschach test comes in.

现在,罗氏测试就出现了。

I am thankful for you and what you bring to my life .

我要感谢你和你给我的人生带来的欢乐。