等价的

Moreover, this dissertation reveals an essential conclusion: The existence of the state feedback solution of H〓 problem is equivalent to that of the maximinimizing the LQ problem, by the existence of real symmetric stable solution of GARE.

文中从微分Riccati方程解的存在性及其性质的论证出发，最终得到了GARE实对称解存在条件的结论。在§2-4中，揭示了本文研究的maxmin鲁棒最优控制问题与H∞状态反馈解及GARE实对称解的存在性等价这一实质性结论。

Firstly, the equivalency of case deletion model and mean-shift outlier model is investigated; and several diagnostic measures, such as Cook distance, generalized leverage, residuals, and likelihood ratio statistics et al., are obtained. Secondly, we investigate the local influence for the models, several commonly-used perturbed models are studied, and the close forms of influence matrices are obtained. At last, a real example illustrates that our method is available.

首先，证明了均值漂移模型与删除模型的等价性，并得到了残差、Cook距离，似然比统计量等诊断统计量；其次研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；并分别对常见的扰动模型进行分析，得到了计算影响矩阵的简洁公式；然后，通过实例验证了方法的可行性。

Based on ZDFV work, the thesis focuses on the following key problems: how to construct an efficient synthesis engine; how to improve the structural similarity of the two designs; how to verify data path designs efficiently; how to use half adder graph to perform arithmetic unit verification; and how to use the hybrid SAT engine in the existing verification flow.

为了解决这个问题，本文作者结合自主研发等价性验证系统的工作，在高效综合引擎的研究与实现、单个模块的相似性研究、数据通路的验证方法、结合半加图的算术单元验证以及基于混合SAT引擎的RTL验证流程等五个方面开展了研究：1。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

A sub variety of idempotent semiring variety which satisfies the additional identity and is given in this paper.

给出了满足附加等式x+xy+x≈x+y，x+xy≈xy的幂等元半环簇 I的一个子簇，讨论了该簇中成员的一些性质，并得到了这些性质的几个等价刻画和其成员的Mal'cev积分解。

By using the approach of weight function, a new Hilbert-type integral inequality with some parameters and a best constant factor is given. The reverse form and the equivalent forms are also considered.

应用权函数的方法，建立一个新的含多个参量的具有最佳常数因子的Hilbert型积分不等式，并考虑了它的逆向形式及相应的等价形式。

It is pointed out at first time that two popular methods of investigating intermittency——-bin-wise integral and strip integral are inequivalent when the translational invariance of semi-inclusive density functions is destroyed, and the anomalous scaling of these two quantities may originate from different dynamics.

我们在研究中首次指出，研究间歇现象的实验中目前流行的两种统计阶乘矩方法：关联函数Bin-Wise和Strip积分方法并不等价，它们所得到的阶乘矩的不同标度行为可能反映了不同的物理起源。

In chapter 2, first of all,we characterize subspace V_0 of multiresultion analysis {V_j}_~ based on invariant subspace. Subsequently, we consider the equivalent conditions among orthogonal multiwavelet Ψ=(Ψ_1,Ψ_2,...Ψ_r)~T, subspace, basis and dimension of subspace, properties of filter function matrix P are dealt with.

第二章讨论了多尺度分析{V_j}_~中子空间V_0的性质，进而讨论了多尺度分析生成的多重正交小波Ψ=(ψ_1，ψ_2，…，ψ_r)~T和子空间V_0以及基和维数之间的等价关系，分析了滤子函数矩阵P的性质，最后给出了r阶矩阵函数P生成尺度函数Φ的充分条件。

Equivalently, it can be raised as follows: for an A operator T, if M and N are two invariant subspaces of T satisfying N include M and dimN/M=∞, then does there exist another invariant subspace L such that N include L, and L include M ? It is rather difficult to study the invariant subspace problem of general diagonal operators.

研究表明它可以约化为对角算子的不变子空间的情形，具体地它有如下的等价提法：对于A算子算T，，如果M和N是T的两个不变子空间，满足且dimN/M=∞，那么是否存在T的另一个不变子空间L使得M包含于L，且L包含于N？

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失