存在于空间的

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？

This thesis mainly discuss following issues, Theory and simple expressions for array covariance matrixes are derived when angular spread functions are symmetric distribution functions, i. e. the Uniform distribution, the Gauss distribution, the Laplace distribution and the Von Mises distribution, and a non-symmetric distribution function, i. e. the Gamma distribution. And the relation between the effective signal subspace and the array number, or and the nominal angle of the distributed source, the angular spread, the distributed functions, and the Signal-to-Noise Ratio is gained. The dimension of the effective signal subspace increases with increment of the array number. And it is more obvious to the non-symmetric distribution. The dimension of the effective signal subspace decreases with increment of the nominal angle. And the distributed source is equal to a point source as θ=π/2. The dimension of the effective signal subspace increases with increment of the angular spread.

本论文针对阵列信号处理中广泛存在的分布源现象，主要讨论了以下问题：推导了角度分布函数分别为对称的均匀分布、高斯分布、拉普拉斯分布、Von Mises分布和非对称的伽马分布时，分布源阵列接收信号协方差阵的严格模型和简化模型，得到了单个分布源的有效信号子空间随阵元数、分布源中心角、分布角、角度分布函数和信噪比的变化规律：随着阵元数的增加，对所有角度分布函数的有效信号子空间维数也随着增加，且非对称分布函数的有效信号子空间充满整个空间的可能性更大；随着分布源中心角逐步增加，有效信号子空间维数逐步减小，当θ=π/2时，等价于点源情形；随着分布源分布角逐渐加大，有效信号子空间维数也随之增加，直到有效信号子空间充满整个空间；随着信噪比的增加，有效信号子空间维数有一定程度的减少。

A method based on the orthogonal property between signal subspace and noise subspace is proposed for robust adaptive beamforming. The robustness would be achieved by projecting the signal steering vector and the null constrain steering vector on signal subspace followed by LCMVB.

针对此情况，基于信号子空间与噪声子空间的彼此正交特性，对存在误差的信号导向矢量和干扰导向矢量，同时向信号于空间投影，然后对投影后的导向约束采用LCMV准则进行自适应波束形成。

On the basis of Earth surface space using reference ellipsoid as height basis, map space using Gauss-Kruger projection plane as height basis, a viewpoint is proposed that map projection actually establishes corresponding relationship between the height bases of two different spaces above. From the viewpoint of projection and visible representation, the relationships among earth surface space, RS imagery space and map space are analyzed; the differences among different representations of earth surface space are identified theoretically; virtual reality is applied to the representation of land surface space, and a prototype of real 3D virtual reality system based on spatial information is developed. By means of digital simulation, virtual reality representation of land surface space in visual image space is realized.

在以参考椭球面为高程基准面表征地表空间、以高斯-克吕格地图平面为高程基准面表征地图空间的思想基础上，提出了地图投影实质上是建立两个空间的高程基准面之间关系的观点；从投影和可视表达的角度，分析了地表空间、遥感图像空间、地图空间之间的关系，从理论上区分了对地表空间的不同表达方式之间存在的差别；将虚拟现实技术应用于地表空间的表达，研制了空间信息三维虚拟现实系统原型，利用数字模拟技术在视像空间实现了对地表空间的真三维虚拟现实表达。

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。

There are two modeling methods used in this research area, that is analytical method and numerical method. Analytical method can be used to analyze the sound pressure within enclosures, and to analyze the control mechanisms theoretically, however it can be used for regular cuboids only. Numerical modeling method can manage enclosures with arbitrary boundaries, nevertheless, the results obtained using this method are dispersed sound pressure. It is hard to conduct real time control with this method. The two modeling methods have their own inherent defects.

对于封闭空间的结构声辐射，目前有解析建模和数值建模两种建模方法，解析建模方法可以从理论上对系统进行分析，探讨消声机理，但它只适用于长方体等规则封闭空间；数值建模方法不受空间边界形状的限制，得到的是空间声压的离散结果，难以用于实时控制，两种方法都存在着局限性。

The veranda is a kind of lively municipal and architectural type. It is widely used in all kinds of buildings,building groups and city spaces in various configurations. This thesis makes a general and in-depthstudy of verandas in three parts.

廊空间是一种极具生命力的城市、建筑空间，它以丰富多样的形态广泛地存在于各种建筑、建筑群体以及城市空间内。

Through the analysis of oil or gas accumulation conditions of K_1n_2 in Wuerxun depression, this paper points out that there are the differences in organic matter abundance of source rock, the quality space matching relation between caprock and source rock, the lateral seal of faults and oil or gas migration form of K_1n_2 between the south and north of Wuerxun depression.

分析了乌尔逊凹陷南二段油气成藏条件，结果表明：乌尔逊凹陷南二段南北部在源岩有机质丰度、盖源质量空间匹配关系、断层侧向封闭性和油气运移形式上存在着明显的差异性；乌尔逊凹陷北部南一段源岩有机质丰度、南二段和大一段盖源质量空间匹配关系、南二段断层侧向封闭性和油气运移形式均好于南部，导致乌尔逊凹陷北部南二段油气供给、运聚及保存条件均优于南部。这即是造成乌尔逊凹陷北部南二段油气显示好于南部的根本原因

The relativists do not treat space and time independently—space is the subject of time, which nobody is willing to rebut at the moment.

有些相对论者认为时间不能独立于空间单独存在――空间是时间的主体，这个论述恐怕没有多少人愿意或有勇气去反驳，尽管有不少猜忌者。

The relativists do not treat space and time independentlyspace is the subject of time, which nobody is willing to rebut at the moment.

有些相对论者认为时间不能独立于空间单独存在――空间是时间的主体，这个论述恐怕没有多少人愿意或有勇气去反驳，尽管有不少怀疑者。

By using competitive adsorption of activated carbom to remove unfavorable influence of carbon in carbonaceous gold concentrate on leaching process, the leaching rate of gold concentrate can be improved to 88% as compared with 10%by direct cyanidation.

本文论述了利用活性炭竞争吸附作用，消除含炭金精矿中炭在浸出过程中的影响，使金精矿的浸出率可由直接氰化的10％提高到88％。

The only thing you're ever gonna be king of is King of the Stupids!

你只配做傻瓜的国王！