完备

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

A fuzzy conditional expectation with respect to sub σ-algebra of for a fuzzy random variable is introduced in the complete probability space, and the fact that such a fuzzy conditional expectation exists uniquely is proved and its some properities are discussed.

在完备的概率空间中引进一个模糊随机变量关于■的一个子σ代数■的模糊条件期望，并证明这样定义的模糊条件期望存在且唯一，还就其某些性质作了讨论。

Since the eigen solution space is complete, all critical temperatures and corresponding buckling modes are able to be obtained.

本征解空间的完备性确保可得到所有的临界温度和对应的屈曲模态。

The company has passed ISO9001: 2000 management certification, with a complete quality management system.

公司已通过ISO9001：2000管理认证，具有完备的品质管理体系。

The completeness theorem of this method were proved at last.

最后， 证明了该方法的完备性。

Because Horn-clause logic theory is of significance in both respects of theory and application, We especially studied lattice-valued Horn-clause logic with truth-value in lattice implication algebra, and the soundness and completeness theorem have been proved.

经典逻辑中，Horn子句逻辑理论具有广泛的应用，因而，本文中特别建立了基于格蕴涵代数的格值-类Horn子句逻辑，并证明了可靠性和完备性定理，这为建立一类基于格值逻辑这种非经典逻辑的人工智能语言将产生重要的作用。

Compared with Plotkin's work, a reduction closed CPS language is defined in which all continuations are explicitly expressed as functional encodings and it is simpler to prove both the soundness and completeness directions of simulation theorem.

与Plotkin的工作比较，工作特点在于，给出了一个CPS归约闭语言，该语言中所有继续都可以用函数形式表达，且模拟定理的可靠性和完备性方向证明更为简单。

The completeness and soundness theorem of this resolution principle are also proved; Secondly, a α-resolution method which can be used to judge that a lattice-valued logic formula is always α-false (i. e. is always less than α) is established, in which the completeness and soundness theorem are also proved.

进一步，类似于经典情形下寻求判定一个公式恒真的半可判定算法，建立了判定基于格蕴涵代数的格值逻辑中一类格值公式在一定真值水平α下恒假的α-归结方法，并证明了其可靠性和完备性。

The soundness and completeness theorem of this method were proved at last. 5. The a-automated reasoning method based on the a-resolution principle of LP was discussed, the author given a method to describe the set of simple generalized clauses (veriables and non-subregular 1 - IBSFs are only contained) by using a matrix, and translated the a-resolution of two clauses to column operations of this matrix.

最后，证明了该方法的可靠性和完备性； 5、对格值命题逻辑系统LP中基于α-归结原理的α-自动推理方法进行了研究，给出了用符号矩阵表示一类简单的广义子句集合(只含命题变元和非正则1-IESF广义文字)的方法，把α-归结原理转换成矩阵的列变换。

Therefore, it is well-deserved historical and cultural city; Second, the social environment on the completeness.

因此是当之无愧的历史文化古城；二是社会环境上的完备性。

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。