Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity

Bojowald found he had to create a new mathematical model to use with the theory of Loop Quantum Gravity in order to explore the universe before the Big Bounce with more precision.

波究瓦德发现他必须创建一个新的数学模式来使用循环量子引力理论，以便更加精确地探究大弹跳之前的宇宙。

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In recent years, the loop quantum gravity and quasi-normal modes have been used to study the quantization of the black hole.

近年来，利用圈量子理论和准正则模对黑洞的量子化进行了研究。

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Loop quantum gravity is, in the jargon, background independent.

环圈量子重力学用行话来说，是背景独立的。

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Loop quantum gravity occupies a very important place in the development of physics.

环圈量子重力在物理的发展中占有一个非常重要的位置。

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The second chapter is mainly concerned with people's reevaluation of Brahmas after his death.

第二章主要涉及勃拉姆斯去世后人们对他的重新评价。

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It is simple to realize the map overlay analysis utilizing the Map AnalysisPackage ( MAP) which was researched and produced by Ohio State University of U, S. A. and others.

利用美国俄亥俄大学等研制的地图分析软件包（MAP）能够比较容易地实现地图叠置分析，在城市土地利用空间结构演化等研究领域具有实用价值。

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The research classifies geomorphology type and relief by means of the overlay analysis of two factors; it gets 50 kinds of comprehensive data of Mountains. It achieves a new method of Mountains digital classification.

采用两两组合叠加分析法，对地貌类型数据和地势起伏类型数据进行叠加分析，提取出50种不同类型的山地综合类型数据，实现了山地数字化分类新方法研究。

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The results based on decision-making tree and GIS overlay analysis show that the soil organic matter always holds the first place in all knowledge rules, P and N rank the second.

决策树和GIS图层叠置方法研究结果表明，土壤有机质始终占据决策树全部知识规则的第一次分支，起着重要的决定性作用，其次为速效磷和碱解氮；

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Based On the study of the theory and the method on the grassland classification, has discussed the approaches of the grassland classification by Using GIS' overlay analysis;

在对草原分类理论和方法研究的基础上，讨论了GIS叠置分析功能进行草原分类的方法；

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At last, two collaboration and parallel samples ( spatial data navigation and overlay analysis) are given to illustrate the use of Geo-Agents.

最后，以空间数据导航和叠加分析作为实例验证了Geo-Agents系统对空间信息的合作和并行处理。

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In this paper, an overlay analysis method was introduced to improve the detection probability compute model of radar-net, then validate the method by simulation.

引入空间叠置分析方法改进了雷达网发现概率计算模型，并进行了仿真验证。

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Fourthly, it's the certain advantages for the grassland classification and the assessment of grassland health by utilizing GIS overlay analysis.

第四，利用GIS空间叠置技术进行草原分类和健康评价具有一定的优势。

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Post-classification process, i.e., modify classified thematic map with overlay analysis to generate a mineral resource potential map.

分类后处理，用叠置分析修正空间分类结果，生成区域矿产资源潜力分布图。

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For the sake of the convenience for overlay analysis, the vector data are always transferred to raster data.

由于栅格数据十分有利于空间分析中的叠置分析，因而通常需要将矢量数据转换成栅格数据。

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Through overlay analysis between rules between the main species found mixed relationship, the choice of tree species has certain guiding significance.

通过规则之间的叠加分析发现主要树种之间的混交关系，对造林树种的选择具有一定的指导意义。

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Take advantage of tools designed for overlay analysis, proximity analysis, surface analysis, and raster processing and conversion.

采取的叠加分析，接近分析，表面分析设计工具的优势，和光栅的加工转化。

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The paper introduces the characteristics of GIS spatial analysis and the methods of statistical analysis and overlay analysis applied in mineral exploration.

作者在本文中介绍了GIS空间的分析特征及应用于区域地质找矿的两种方法，即统计分析和叠加分析。

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Prediction of water inrush from coal seam floor confined based on geo-information composite overlay analysis

基于地学信息复合叠置分析对煤层底板突水的预测

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A Method of Graphic Overlay Analysis from Grid Data and its Application in the City and Town Planning

栅格图形数据叠置分析方法及其在城镇规划中应用

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( 2) spatial overlay analysis;

空间叠加分析；

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