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In this thesis we systematically study a new kind entropy-like invariants in the case of compact metric space and probability space.

中文摘要：在本文中，我们系统地研究了一个新的熵不变量。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

The cognitive process of oxymoron will generate two blended spaces with different qualities which are named complementary space and replaceable space respectively.

矛盾修饰法的认知过程产生两个不同性质的合成空间。两个合成空间分别为互补性空间和替代性空间。

On the display environment itself, a reasonable space design is a design show jumping in rhythm and smooth rhythm, and other artistic effect of the key to correctly handle and grasp the function of the space complementary relationship is to build an ideal environment demonstrate the essence.

就展示环境本身而言，采用合理的空间设计是构成展示设计中跳跃节奏、顺畅韵律等艺术效果的关键；正确处理和把握功能空间的相辅相成的关系是构筑出理想的展示环境的精髓。

By introducing the generating method and the expanding method,a complementary abstract state space can be constructed using the generating method on goal state once and the expanding method several times in turn.They are useful tools for designers to construct the complementary abstract state space in an easy way,where the complementarity of abstract states means that each ground state can only be represented by one abstract state and all the ground states can be represented by all the abstract states.

然后又提出了抽象状态空间的生成方法和扩展方法，从一个准确描述的的目标抽象状态开始，使用一次生成方法和多次扩展方法，可以让设计者很容易的得到一个规模适度的互补抽象状态空间，即每个基本状态只有一个抽象状态来表示，所有的抽象状态又能表示所有的基本状态。

A theoretical description of the deformed state of QCs requires a combined consideration of interrelated phonon and phason field. The phonon field describes the motion of lattices in physical space, while the phason field describes the quasiperiodic arrangement of atoms in the complementary orthogonal space, which interact with one another. Owing to the existence of phason field, the elasticity of QCs is more complex than that of the conventional crystals.

准晶弹性的刻画不仅需要描写晶格振动的声子场，还需要刻画原子准周期排列的相位子场，而且二者是相互耦合的，所以准晶的弹性较经典的一般晶体的弹性复杂的多。

We have also shown that the collection of prime event structures on N can be endowed with the structure of a complete metric space, and in this space the collection of all universal homogeneous prime event structures is topologically large: it is the complement of a meager set.

我们也表明，集的主要事件结构对N可以赋予一个完整的度量空间结构，在该空间的主要活动是普遍均匀结构拓扑大：它是相辅相成的微薄的集合。

E〓 is endowed with a new metric D, such that becomes a complete metric space. After that a locally convex complete pseudonormed space is constructed. Finally, E〓 is embedded into isometrically, and isomorphically.

在n维非紧模糊数空间E〓上引入一个新的度量D，使得成为一个完备的度量空间，然后我们构造了一个局部凸的完备赋准范空间，并将n维非紧模糊数空间等距同构地嵌入到空间之中。

It is necessary to point out that our results not only extend the classical results of composition operators C〓 on Hardy spaces, Bergman space, Dirichlet space and Nevanlinna class, but also expand composition operator C〓 to sequence {C〓} or C〓C〓 and C〓C〓, and expand basic spaces to the vector-valued analytic function spaces, etc.

应该指出的是，本文不仅涵盖了经典Hardy空间、Bergman空间、Dirichlet空间、Nevanlinna类上复合算子C〓的原有结果，而且进一步弄清了不同空间之间的复合算子的性质，同时扩展了单个复合算子C〓至复合算子序列{C〓}及乘积算子C〓C〓与C〓C〓的情况，基本空间扩展至向量值解析函数空间的情形等等。

The base part is curved concavely so as to form a space between the base part and the bead core, and an anchor rubber having a complex elastic modulus of from 20 to 80 MPa is disposed in the space to tightly pinch the carcass cords between the anchor rubber and the bead seat of the wheel rim.

所述基部凹曲以形成一个介于所述基部和胎圈芯之间的空间；且一复合弹性模量为20到80MPa的锚固橡胶设置在所述空间中，从而箍紧锚固橡胶和轮辋的胎圈座之间的胎体帘线。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。