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Without the partial ordering relation and ordering structure, a conversant algebra system Boolean algebra is analyzed with a new point of view in this paper, which makes most concepts in discrete mathematical being understood more deeply.

在不涉及偏序关系和序结构的前提下，用一种新的观点剖析了一个熟悉的代数系统———布尔代数，加深了离散数学中代数系统的有关概念的理解和认识。

In this paper,first the ordering method with fuzzy partial ordering relation has been imposed to resolve fuzzy problem of psychology measure in consumer preference,and evaluation of psychology measure with fuzzy partial ordering relation has been proven to be a preferable method,then group decision making has been synthesized by individual preference with condorect function in decision making theory,finally the feasibility of ...

本文首先利用模糊偏序关系的排序方法，解决消费者偏好的心理测度的模糊性问题，论证了用模糊偏序关系对心理测度进行评价是一种较好的方法；然后利用决策理论中的condorect函数把个人偏好合成群体偏好；最后用实例验证了该方法对消费者偏好进行评价的可行性。

The value of information depends on its structure which is characterized by the joint probability matrix of information variable and state variable, we have defined some partial ordering over the matrices, our main results provide some sufficient conditions, which described by the partial ordering,for the value of information to increase.

信息结构由状态变量与信息变量联合概率矩阵来描述。我们定义了矩阵的一些偏序，通过这些偏序给出了信息价值的比较关系。

In this paper, we mainly apply theory of ordering in nonlinear functional analysis, cone theory, topological degree theory, cone expansion and compression theory, and the method of upper and lower solutions, partial ordering method, iterative method to study some nonlinear differential equations BVP and fixed points problems of mixed monotone operators, and obtain some new results.

中文摘要：在本文中，我们主要应用非线性泛函分析中的半序理论，锥理论，Leray-Schduder拓扑度理论，锥拉伸与锥压缩不动点理论，以及上下解方法，半序方法，迭代方法对一些非线性微分方程边值问题和混合单调算子的不动点问题进行讨论，并得到了一些新成果。

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论，讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性，并给出了迭代序列收敛于公共不动点的误差枯计，所得结果是某些已知结果本质改进和推广。

Since a partially ordered set has longitudinal and lateral structures, the characterization of poset matroids by rank function is much more complicated than that of the classical matoid.

因为一个偏序集有横向与纵向的结构，因此我们用秩函数来刻画偏序集拟阵要比刻画经典拟阵要复杂得多，但还是有章可寻。

For detail,we studied the Incidence Algebra I defined by finite Partially Ordered Set X,and sheaf F based on the topology T_x defined by the partial order;By studying the relation between finite module category mod I and the sheaf category Sh_x A,we proved that they are equivalent.

特别的，对给定的有限偏序集X确定的Incidence代数Ⅰ，及由X的序关系定义的拓扑结构T_X上的层F，通过考查有限模范畴modⅠ与层范畴Sh_XA之间的关系，证明了Incidence代数上的模范畴与层范畴的等价性。

It is proved that many knowledge base can be transformed into the strick partical order, many partition problem of knowledge base fit in with partition problem of strick partical order.

在最后，证明了许多知识库结构可表成严格偏序集。因而，这些知识库的拆分问题可转化为严格偏序集的拆分问题。

This article is based on cases analysis in production,explaining the reason on false connection of the phase and phase sequence lead to losses of electric power system,enterprise and daily work.

本文以生产中的实例分析为切入点，说明因相位、相序接线错误给电力系统、企业及日常工作造成的损失，并介绍几种预防相序错误的方法，为提高企业经济效益打下坚实的基础。

Polony DNA sequencing provides an inexpensive, accurate, high-throughput way to resequence genomes of interest by comparison to a reference genome.

聚合酶DNA测序提供了一个便宜的，准确的，高通量的方式，通过和一个参考基因组比较来重测序感兴趣的基因组。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。