几何的

The procedure estimating the regularization parameter is the same as that the adaptive Marquardt algorithm used. The Frechet derivative is directly derived from the forward methods: SAM and FEM. With the theory of SAM and Zhang′s geometric factor, the relationship between the Frechet derivative and the geometric factor is established, at the same time, one useful corollary is given, i.

选取正则化因子时，沿用自适应的Marquardt算法中阻尼因子的选取计算方法；计算Frechet导数时，根据逐次逼近解法和张氏几何因子理论，推导出了Frechet导数与张氏几何因子的关系，得出了Frechet导数为张氏一阶积分几何因子的结论。

This paper gives a full and explicit analysis for Geometric Phase, from basic theory to familiar calculation modules in articles. We focus on the application of gauge transformation method to Geometric Phase Calculation.

本文对几何相作了一些比较细致全面的分析，从基础理论开始一直到文献中比较常见的模型计算，将重点放在正则规范变换方法在计算几何相中的应用上，着重掌握一种计算几何相的方法。

By the new learner which causes The Geometer's Sketchpad can in the short time grasp The Geometer's Sketchpad the application, and can use The Geometer's Sketchpad to make the beautiful geometric figure, and some pleasant animation effect.

以使几何画板的初学者能在短时间内掌握几何画板的应用，并能用几何画板作出美丽的几何图形，及一些令人赏心悦目的动画效果。

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究，可以从新的角度更进一步的研究几何不变量和凸几何，特别是双弦幂不等式能解决更为复杂的几何概率问题。

ABSTRACT This dissertation describes our investigation of the geometric invariance and geometric invariant over projective transformation group, with the emphasis on the estimation of geometric constraints in image sequence and their applications in computer vision.

本论文介绍了作者对射影变换群上的几何不变性及几何不变量的研究，重点研究了序列图象间几何约束关系的估计及其在计算机视觉中的应用。

Using analytic method and theory of geometric inequality,we study the problem of geometric inequalities concerning n-dimensional simplex and its interior point in.

应用解析方法和几何不等式理论研究了n维欧氏空间En中n维单形Ωn的外接球半径及Ωn中内点之间的几何不等式问题，建立了涉及单形Ωn的外接球半径以及Ωn中内点到各侧面距离之间的几何不等式，作为其应用，进一步改进了著名的M.S。

Based on the inverse mapping with linear deformation, the geometric mapping was used to carry out the second element transformation in order to avoid the abnormality of the stiffness matrix and to improve the stability and the convergence of the numerical calculations.

在现有线性变形逆向映射法的基础上，采用几何映射法计算变换单元，避免单元刚度矩阵出现畸形，提高钣金展开有限元逆算法的稳定性和收敛速度，对几何映射法与投影法所计算的变换单元进行了对比，数值计算结果表明用几何映射法计算的初始估算展开料形状更接近于最终的钣金件展开形状。

The result shows that, on healthy subjects, the gray matter has high value on CS and lowers on CL and CP parameters (lie on top of the 3P diagram), while the white matter has higher value on CL and lower CP and CS (lie on leftlower corner of 3P diagram). After infarction, the gray matter and white matter both show less anisotropy and raised CS index.

实验结果显示，正常的灰质其几何结构偏向球形，座落於三相张量图（3P tensor diagram）的顶端，而正常区的白质其几何结构偏向线形，座落於图形的左下方；而中风之后，灰质与白质的非等向性皆出现衰退下降，几何结构也趋向球形。

The bi-directional cross track scanning, attitude fluctuation and the ETM+ sensor itself of Landsat7 result in the geometrical distortions including underscan, overscan and misalignment, which make geometric calibration more difficult than other kinds of model. The complicated imaging model increase the difficulty of geometric calibration as well.

Landsat7的双向扫描模式、姿态波动和增强型专题制图仪ETM+(Enhanced Thematic Mapper+)传感器本身的特点等必然导致遥感图象的几何畸变，同时复杂的成像几何模型也增加了几何校正的难度。

Parametrization is a crucial problem in computer graphics,computer aided geometric design and digital geometric processing.

三角网格的参数化是对三角网格的几何和拓扑信息作进一步处理的基础，它在计算机图形学、计算机辅助几何设计和数字几何处理等领域有着广泛的应用。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。