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In order todiscuss the structure of operator algebra, in recent years, many scholars have focusedon linear maps and various multiplieative maps on opcrator algebras, and studied thealgebraic and geomrtrial properties and the problem of classification of these mapsMany deep and intercepting results have been achieved, and many new ideals and meanswas introduced.

为了进一步探讨算子代数的结构，近年来国内外许多学者对算子代数上的线性映射和各种可乘映射进行了系统研究，探讨这些映射的代数和几何性质以及刻画分类问题，取得丰富成果并不断提出新的思路和方法。

Therefore, these two lithofacies paleogeography maps of the Early Cambrian of China are different in study degree for different areas, and are quantitative in some areas and qualitative in others. These maps reflect both the research achievements of the present writers and the present geological study degree of our country.

这种研究程度有差异的、定量和定性兼有的、全国范围的岩相古地理图，既反映笔者等的研究成果，也反映我国当前地质工作的研究程度。

Against the practice, the weaknesses found in the product, they will three-dimensional simulation model for transformation by parallel projection, superimposed on the digital true color aerial orthophotos, the implementation of the digital side-view maps (commonly known as 2.5-D maps) production.

针对实践中发现该产品的弱点，他们将三维仿真模型按平行投影变换后，叠加在航摄数字真彩色正射影像上，实施了数字侧视地图（俗称2.5维地图）制作。

In traditional reservoir capacity calculation, a planimeter is used to obtain a reservoir capacity from topographic maps and large scale topographic maps are needed if high accuracy is required.

传统的库容计算方法是在已有的地形图上采用求积仪法进行，当精度要求较高时，需到现场实测更大比例尺的地形图。

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

The equations of two classes of 3D polynomial maps that are equivariant with respect to the rotational symmetries of either a regular tetrahedron group or a regular octahedron group are strictly given, on the basis of which the properties of the general Julia sets created by these 3D polynomial maps are discussed and proved.

从理论上分析并证明了三维多项式映射满足等变的条件，精确地给出了关于正四面体群和正八面体群具有旋转不变对称性的两类三维等变映射的具体公式，在此基础上讨论并证明了三维多项式映射的广义Julia集所具有的性质。

Then, the effect of PM filter was evaluated by comparing the root mean square error of the standard FA maps and the processed FA maps.

通过比较标准FA图与处理后FA图间的均方根误差，评价PM滤波的效果。

The David Rumsey Historical Map Collection contains over 7.180 maps online focuses rare 18th and 19th century North and South America cartographic history materials. Historical maps of the world, Europe, Asia and Africa are also represented.

拉姆齐·戴维历史地图收藏库收集了超过7，180张地图，这些收藏品主要是18、19世纪时期的南北美洲制图学历史及材料，其中还包括古代世界地图、欧洲、亚洲、非洲等地区的地图。

The chapter first studies the closedness, semicontinuity and cone semicontinuity of cone efficient point sets and cone weakly efficient point sets of the perturbed objective sets when both the objective maps and constraint maps are continuous and the constraint cone is semicontinuous.

进而还证明了当扰动变量形成Baire空间时，大多数（在Baire分类意义下）约束集或序受扰动的联合锥弱有效解集在连续意义下是稳定的。

The structure and shape information, such as: floor plans, sections, contour maps, elevation, side maps, etc., for the precious cultural relics provide detailed and systematic data to prepare for rehabilitation and reconstruction programs.

文物测量一般用于历史纪念物(如：古代建筑、桥梁、寺庙、佛塔、雕塑等)的结构和形状等方面的资料，如：平面图、截面图、等值线图、立面图、侧面图等，为珍贵的历史文物提供详尽而系统的资料，以备修复和重建提供方案。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。