定义域

Definition 4 Let D be the domain of the function of two variables , be a point of accumulation of D.

定义4 设二元函数的定义域为D，是D的聚点。

Definition 3 Let D be the domain of the function of two variables, be a point of accumulation of D and .

定义3 设二元函数的定义域为D，是D的聚点，且。

Firstly, we analyze the deficiencies ofexisting ones, extend domains of fuzzy logical operators from the cap product withtwo sets to them with arbitrary (finite, enumerable, or non-enumerable) number ofsets to form two general mappings so as to conform them to the fuzzy conjunctionand infimum, and to fuzzy disjunction and supremum, respectively, and fuzzify theset inclusion of fuzzy sets. Similar to the classical adjunction, the concept of fuzzyadjunction is introduced.

首先分析了原有"模糊形态学"框架的缺陷，进而将模糊合取和模糊析取算子的定义域从两个集合的笛卡儿乘积推广到任意多个集合的笛卡儿乘积，形成两个一般的映射，使得模糊合取与下确界、模糊析取与上确界保持一致，以此将模糊集的包含关系一般化。

We divide this interval into several subintervals, based on deviation points, find the best uniform approximation polynomial of each subinterval, and then denormalize the computation result to the final result.

论文摘要：根据切比雪夫定理，提出了一种适于FPGA实现的函数逼近新方法：通过区间映射关系，将函数定义域映射到较小的逼近区间内，并按照交错点对逼近区间进行分段，分别求出每段的最佳一致逼近多项式，对函数进行分段逼近，最后将逼近结果反映射，得到最终的函数计算结果。

The reason lies in that the conventional representations of PWL functions concern with too many parameters occurring in the function expressions and the domain partitions respectively, which result in the redundance of the parameters in the case of the continuity condition considered.

分片线性模型得不到广泛和系统应用的主要原因是传统的分片线性函数表示式涉及太多的参数，包括定义域及定义域每一部分上函数的定义；当考虑连续性条件时冗余是显然。

The local form of the definition domain was given and its lower bound was determined.

给出局部形式定义域的设置方法，并确定出定义域的下界。

Whether a thing is a "being" or not is that a thing is a "being"in a domain of definition,thus avoiding ambiguously asc-ertaining that a thing is a "being" paradox that is a being or not a being in the case that domain of definition is uncerta-in or non-single.

某物是否存在的问题，实际上是某物在何种定义域中存在的问题，因而避免了在定义域不确立或非单一情况下，笼统地断定某物存在或不存在的存在悖论。

This paper provides a method of variable integrity testing to detect the faults of software By checking the definition domain of the variable itself and the restriction condition of consistency between variables, we only need to determine the bound of each output data, rather than the exact value Although the output of testing case cannot be easily caught, this method can improve the efficiency of detecting faults Furthermore, the checking point is not limited to the final output place, but spreads over the reference places in the program code to key variables just like those at the checkpoints under debugging As a consequence, the testing becomes more precise

由于软件测试用例的输出部分很难确定，而通过测试变量自身的定义域和变量间的一致性约束关系，只需要确定输出值的范围而不用知道其确切的值，就可以提高了错误检测的效率同时，检测的范围不局限于程序最后的输出结果，而是散布在程序中的各个有意义的变量，正如调试过程中设置断点观察的那些变量，使得检测错误更加精准1 引言软件测试的本质在于针对要测试的内容确定一组测试用例[1] 测试用例分为输入和输出两部分功能测试和结构测试等基本的软件测试方法，都比较关心测试用例的输入部分定义域的确定，而对测试用例的输出部分考虑得较少例如，边界测试和等价类测试[2 ] 只考虑测试用

In this paper, the regular domain of traditional parametric surface is generalized to manifold, and a new method is proposed to construct smooth surface based on this domain manifold.

将传统参数曲面的规则定义域推广到一般的二维流形上，并基于定义域微分流形提出了一种新的光滑曲面构造方法。

The paper gives a fractal images compression algorithm deduced using best polynomial approximation, and two domain blocks searching path (variable step and nonvariable step), and proposes domain blocks incremental evaluation so as to increase the efficient of images compression.

本文还给出了我们用多项式最佳逼近方法导出的分形图象压缩算法，以及两种定义域块搜索路径，并提出了定义域块的增量计算思想，以提高压缩效率。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。