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In particular, the sufficiency implies a recent result by Akashi: every compact and totally disconnected dynamical system, expansive or not, can be conjugately embedded into a PSDS.

第五章主要给出了一个动力系统可以拓扑共轭嵌入到乘积符号动力系统中的充要条件,而且证明了该条件蕴涵着Akashi在文[2]中给出的主要结论,并由该条件推出了判断一个拓扑空间完全不连通的充分条件。

Based on dynamic test data, using curve fitting and optimum method, three dynamic empirical model are developed according to the principle of minimizing errors, they are trilinear hysteresis model, variable linear hysteresis model and variable nonlinear hysteresis model.

对系统辩识模型作出了改进,把准静态特性的幂函数乘积模型与辩识模型相结合,形成了制动器的理论分析模型。

It is proposed that the value να, which is a product of grinding speed and undeformed chip thickness, is an important parameter determining the deforming mechanism of material at the grain shearing zone.

并首次提出磨削速度ν与未变形切屑厚度α的乘积να是决定磨粒剪切区变形机制的重要参数。

In this thesis, we investigate composition operators and multiplication operators betweenα-Bloch spaces, and weighted composition operators of H~∞ intoα-Bloch spaces on the unit ball.

本文研究单位球上的α-Bloch空间之间的复合算子,乘积算子和H~∞到α-Bloch空间的加权复合算子。

In the run time rendering process, we first evaluate the product of the two SRBFs. As this product is evaluated, we present an efficient sampling algorithm on the unit sphere, and the generated point distribution can match the SRBF representation.

在执行显像运算时,我们先计算出两个球面辐射基底函数的乘积,然后根据球面辐射基底函数的表示形式,提出有效率的重要性取样方法,其产生出的取样分布可以合球面射基底函所描述的资分布。

With the increase of the code rate , the production distance between the constellation of the unitary group code decreases rapidly and deteriorates the performance of the system.

随着码率的不断增加,酉空时码群中的各个星座点之间的乘积距离会变得越来越小,从而导致性能恶化。

Toffoli gate set is chosen as the basis gate library. Each logic gate in the library is a unitary matrix that can be decomposed into a product of a series of elementary transformation which is referred to as a transformation path.

Toffoli门集被选作基本门库,其中每个逻辑门的矩阵都可以分解为初等变换的乘积

The paper describes a new iterative decoding algorithm for the product codes, its feedback method is completed by a linear combination of soft output of encoder and the receipt information is different with the traditional turbo iterative decode. When decoder obtains the soft output matrix built -1 and +1, the complexity can be reduced greatly and the performance can be lost utile by reducing the number of candidate code words and omitting the complicated operation of LLR.

针对乘积码提出一种新的迭代解码算法,该算法的反馈方式有别於Turbo码的传统迭代译码,是通过输出软信息与接收软信息进行线性叠加来实现的,此时子译码器的候选码字个数将大为降低,同时译码输出也无须做复杂的LLR计算,直接映射为由-1,+1组成的软输出矩阵,从而在牺牲较小性能的情况下很大程度地降低了译码复杂度。

Definition4:Given a n-dimensional vector bundle and m numbers ,then is called a linear combination of .

Definition3:设,为实数,称向量为数与向量的乘积,或与的数乘,记为或,即

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中,我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究,解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题,恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族,建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理,获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理,得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果,获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件,从实质上推广了现有的相关结果;得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理,还建立了一系列其他研究结果。

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