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Secondly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of set-valued input-output equation in R n in the similar economical backgrounds in present articles too and then gain the solution's continuity by interior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

对于R n空间中消耗为单调集值型的投入产出方程，也在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，接着利用内部逼近法结合方程截断技巧对投入产出方程的解的连续性给予了证明，然后顺便简单的介绍了运用外部逼近法来得到方程的解的连续性的思路，最后也给出了相对应于存在性和连续性的经济意义。

Author give a direct prove of the generic continuity of semicontinuous real-valued function which is defined on topological space.

最后给出了定义在拓扑空间上的半连续实值函数通有连续性的一个直接证明。

The representation and reasoning of the cognitive information about continuous valued variable.

理论。在理论研究方面，本文提出了几个创新的思想：（1）认知信息的表达和推理。

Methods The theories of topology, convex analysis and functional analysis are used to study and analyze some properties of the set-valued function in the problem.

依据拓扑，凸分析和泛函分析的理论，对于锥扰动向量优化问题中特定的集值映射进行分析和研究。

It is proved that strictly efficient point set of the objective space is connected when objective function is cone convex－like,and that if objective function is cone convex set－valued mapping,then strictly efficient solution set is also connected.

证明了当目标函数为锥类凸的集值映射时，其目标空间里的严有效点集是连通的；若目标函数为锥凸的集值映射时，其严有效解集也是连通的。

H-2: The measurable set-valued mapping F : X - CC is -bounded (n+1)-lower semicontinuos where X is a closed, bounded and convex subset of a n-dimension Bana...

的。 H-3：X是1-维赋范线性空间中的有界闭凸子集，可测集值映射F：X→C_c是2-下半连续的(2-l.s.c。)。

In order to improve display velocity, transform the seismic data to a 3-D two-valued image, trace the 3-D connected zone with ordered cross algorithm, thin the zone to get the coordinate of the reflection surface.

为加快显示速度，将一个三维地震数据体转换为三维二值图像，用有序扩展算法追踪同相面所在的三维连通域，细化后得到反射面的坐标数据。

You may have a difference from the price you valued your material at and the real cost of purchase.

你在采购实际成本与你对物料所评估的价值之间可能会发现有差异。

We have been working together for three years now, and I count this client among my most loyal and valued.

到现在为止，我们已经一起工作了三年，我把他当作我最忠实和重视的客户之一。

The author introduces background about generation of countability in topology and status about the research and the development of count-ability on lattice-valued topological spaces, and gives the main problems to be soled.

文章由六部分组成：第一部分是前言，作者简单介绍了拓扑空间中可数性的产生背景，格值拓扑空间可数性的研究发展情况，给出本文主要的研究问题。

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％。