几何基础

While traditional farming experiences and preliminary experiments on minimum tillage showed a preference of alternating furrow slice inverting and deep loosening without inverting in some of the agricultural regions in China, the development of a PTO driven furrow slice inverting rotary plow as primary tillage implement inplace of the conventional moldboard plow was justified from the standpoint of less tractor traffic, less soil compaction, less energy consumption, sowing in time etc.

从翻耕或翻耕与深松相交替将在相当广大的地区、相当长的时期内，作为一种基本的田间作业环节而存在这一认识出发，用"假想旋翻垡片"的概念研究了旋翻在几何尺寸上的可能性及其限制条件，并从保省耕作法的节能、赶农时、省人工减少土壤压实、经济高效等方面对旋翻进行了考察，指出发展一种动力驱动、原沟旋转翻垡的基础耕具的必要性和可行性。

The fractal feactures of the three dimension rock finite strain in the Xinzhou fold-thrust nappe structure have been studied in this paper.

在岩石有限应变测量和三维有限应变分析的基础上，应用分形几何理论研究三维有限应变这一复杂现象。

Based on this solution, the relationship between magnetic film strain or stress and the geometrical and physical parameters of the two cantilever components is studied extensively, and the influence of such parameters on the bending characteristics such as neutral plane of the film-substrate cantilever system is presented.

在此基础上重点分析了磁膜应力和应变与构成悬臂梁的两种材料的几何参数和物理参数的关系，给出了这些参数对磁膜-衬底悬臂梁系统的中平面等弯曲特性的影响。

Based on water-entry dynamic and water-entry ballistic theories,the oblique water-entry process of disk ogive is simplified and a wetted correction factor is introduced in order to accord with the true water pile phenomena,and an oblique water-entry impact model coupled with ballistic and dynamic models are established.

以冲击体入水动力学和入水弹道学理论为基础，针对平头尖拱体入水冲击这个复杂物理现象，引入体现液面隆起现象的沾湿因子，用等效液面代替自由水平液面，建立了斜入水高速冲击的运动学和动力学冲击模型，其中动力学模型是根据平头尖拱体沾湿面的具体几何形状而建立。

Based on water-entry dynamic and water-entry ballistic theories, the oblique water-entry process of disk ogive is simplified and a wetted correction factor is introduced in order to accord with the true water pile phenomena, and an oblique water-entry impact model coupled with ballistic and dynamic models are established. According to the exact geometric shape of the wetted body surface, the dynamic model is established.

以冲击体入水动力学和入水弹道学理论为基础，针对平头尖拱体入水冲击这个复杂物理现象，引入体现液面隆起现象的沾湿因子，用等效液面代替自由水平液面，建立了斜入水高速冲击的运动学和动力学冲击模型，其中动力学模型是根据平头尖拱体沾湿面的具体几何形状而建立。

The research of these subjects has related to pure and applied mathematics such as algebra, geometry, operator perturbation theory, matrix anal-ysis, approximation theory, multivariate linear modeling, optimality principle and quantum physics etc.

对它们的研究涉及到基础数学与应用数学的许多分支，诸如代数学、几何理论、算子扰动理论、矩阵理论、逼近论、优化理论与量子物理等。

By introducing reasonable fundamental assumptions and the Green strain in orthogonal curvilinear coordinates,geometric equations expressed by the Green strain tensor for solving thin shells with large deformation are derived in this paper.

将正交曲线坐标下的格林应变张量引入到薄壳大变形分析，通过建立恰当的基本假设，直接导出了用格林应变张量表示的壳体变形几何方程，将该方程代入到本构方程，由能量原理得到了小应变非线性变形平衡方程、内力方程和边界条件，在此基础上提出了大应变变形的简化分析方法。

So, the work in this thesis focuses on three aspects:(1) Analyzing the geometrical structure feature and spectral feature of typical linear targets in the multispectral image and the panchromatic image.

因此，本文的研究内容包括：(1)多光谱影像中典型线状目标区域的几何和光谱特征分析，在目标知识表达和推理的基础上，建立典型目标模型，对单源影像进行目标区域分割。

A notable merit of parallel coordinates is its well-founded mathematical foundation.Its projective geometrical interpretation and duality properties facilitate the simultaneous projection information representation of multiple low dimension subspaces.

平行坐标的一个显著优点是其具有良好的数学基础，其射影几何解释和对偶特性使它可以很好地同时表达高维数据在多个低维子空间的投影信息。

In chapter 2, the basis of parametric design ideal based on relating-graph is studied.

在第二章中，对基于关联图形的几何建模参数化思想基础作了阐述。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。