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It includes the definition of two basic operations, logical functions expansion and matrix formulation in OR-Coincidence algebra system, and the introduction of map expression--dj map, the complete research of the relations among CRM expansion^ maxteim expansion and RM expansion, iiamely tie relations among dj map, K-map and bj map, also includes the minimization of CRM expansion in fixed and mixed polarities-Meanwhile this dissertation points out the form and properties of basic symmetric function, simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

包括连和与加合两种基本运算的定义，逻辑函数在或、符合代数系统里的展开式及矩阵表示式，展开式图形表示--d_i图的引入，对CRM展开式和最大项展开式、RM展开式，d_i图和K图、b_i图之间的关系及转换方法进行了较为全面的研究，以及CRM展开式在固定极性和混合极性下的最小化问题。

In this part, the matter element network representation is proposed by analyzing and summarizing existent function representation methods, and by combining characters of demanding lots of associated information in innovational design.

在分析总结了现有功能表示方法的基础上，结合创新设计中需求大量设计相关信息的特点，提出了物元网络表示方法。

Furthermore, we express a real quaternionic polynomial with four general polynomials which have real coefficients, thus build direct relation between real quaternionic polynomials and general polynomials.

新方法以四元数的复表示及其可对角化的特征结构为理论基础，将问题等价为求解2×2矩阵多项式的可对角化解；进一步将四元数多项式用四个实系数多项式表示，建立了四元数多项式与一般多项式的直接关联。

For topology optimization with general objective functions, multi-constraints, multi-materials and multi-load cases is proposed.

总之，本文主要采用向量水平集表示，将材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

By using the technigue of pointwise representation, this paper goes somewhat deeper into the theory of fuzzy subspaces. It has mainly studied the structure of generated fuzzy subspaces, and various relations between a fuzzy set and its generated fuzzy subspace are given. Furthermore, a pointwise representation theorem for fuzzy subspaces is presented.

本文利用点态表示方法进一步探讨了Fuzzy子空间理论，着重研究了生成Fuzzy子空间的结构，给出了Fuzzy集与其生成Fuzzy子空间之间的各种关系，进而，文章还给出了Fuzzy子空间的一个点态表示定理。

The development of modern high-tech, enterprises'requirement use bar codes in the limited space of the geometric mean that more information in order to meet a variety of information identifying needs.

现代高新技术的发展，迫切要求用条码在有限的几何空间内表示更多的信息，从而满足千变万化的信息表示的需要。

In this case, the image is represented through symbolic data representation ad image primitives (e.g., 2D or 3D geometric representation), attributes and other control information.

这种方式将图像用符号的形式表示为图元(如二维和三维的几何表示)，属性和其他控制信息的集合。

NURBS has become a representation standard for geometric design systems since 1990.However, it is difficult to model complicated objects with only one NURBS surface patch due to its rectangular domain, and it still suffers from serious limitations in surface stitching.

九十年代以来，NURBS曲线曲面已经成为计算机辅助设计系统的表示标准，由于NURBS曲面定义在矩形域上，难以直接用一张NURBS曲面来整体表示复杂曲面，需要采用分片构造的方法才能达到目的，使得拼接边界处的光滑性也受到了严重限制。

If you think about what I just said, it fits in with what the people Geraldo interviewed said, when the people he interviewed claimed that the people from Holiday Island kept doing things to them that made them paranoid.

如果你认为是什麼，我只是说，它适应了，与什麼人热拉尔多说，接受采访时，他所采访的人表示，人们从假日岛一直做的事情向他们表示，他们偏执。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。