基本解释：保形微分几何学
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Fractal Geometry on Image Information Representation and Its Application基于分形几何学的图像信息表示及其应用研究
Using the image files and capillary pressure curves obtained by studying casting-body slices of core from coring wells,we have quantitatively demonstrated the complex structural characteristics of micro-pore-throat by applying the method of image fractal geometry and expressing in the form of fractal dimension.利用取心井铸体薄片获得的图像资料和毛管压力曲线,通过图像分形几何学方法以分维数的形式定量地表征出了复杂的微观孔隙喉道结构特征,发现能够很好地划分和评价孔隙岩石中油、气、水的渗流差异,可以用于储层微观流动单元表征。
The capillary pressure curves contain much information about reservoir features, so a series of geologic applications in terms of fractal geometry principle are presented to estimation of reservoir relative pe.利用分形几何学的原理和方法,实现了利用常规岩心分析资料如孔隙度和渗透率等反演毛管压力曲线(建立孔喉体积分布预测模型),通过实际资料验证,该方法预测结果精度较高。
differential geometries of generalized spaces一般空间微分几何学
Robot Manipulability Research Based on Differential Geometry;基于微分几何学的机器人操作性能的研究
His participation in actual physical surveys stimulated his interest in differential geometry.他亲身参加实际的物理测量，激起了他对微分几何学的兴趣。
topological differential geometry拓扑微分几何(学)
general affine differential geometry一般仿射微分几何(学)
Several Issues Should be Paid Attention to In the Teaching of the Curve Theory on Differential eometry;微分几何的曲线论教学中应注意的几个问题
confluent hypergeometric differential equation合流型超几何微分方程
Two Problems in the Differential Geometry and Integral Geometry;微分几何和积分几何中两个问题的研究
He had recovered from a slow start to the extent that he taught himself advanced calculus and geometry textbooks.他已从缓慢的开端发展到能依靠教科书自学高等微积分和几何学。
Clinical Application of the Mathematical Model of Differential Geometry ECG心电向量环微分几何心电图数学模型的临床应用
principal formula of integral geometry积分几何学的主公式
Notes on Partial Differential Operators in Differential Geometry;关于某些偏微分算子在微分几何中的一些应用
The Partial Differential Equations Based Geometric Technique in Image Processing;基于偏微分方程的图像几何处理方法
Mechanical Theorem Proving in Differential Geometry about Curves on Surface;微分几何曲面上曲线定理的机器证明
the Differential Geometry Method of Support Vector Regression Machines;支撑向量回归机（SVRM）的微分几何方法
Characterization of Symplectic Geometry and the Friedrichs Extension of Some Differential Operators;几类微分算子的Friedrichs扩张及其辛几何刻划
Those conclusions are of clear geometric significance and global property.这些结论具有清晰的几何特征，而且属于整体微分几何性质。
RKMK Geometric Integration of Non-linear Partial Differential Equations;非线性偏微分方程的PKMK型几何积分方法
