查询词典 geometry

First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础，然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念，建立加工仿真的层次结构和逻辑结构，阐述双刀车削仿真系统的静态模型和动态模型建立方法，分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质；研究NC代码解读技术和双刀加工时间段递归子分划技术，为驱动各仿真单元作数据准备；通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉，通过求多边形的交集判断刀架与刀架是否干涉。

The results from confirmatory factor analysis indicated:(1) The structural model of children's early mathematical ability was reasonable and it had good structural validity. In detail, children's early mathematical ability was explained by number, arithmetic, measurement, space/geometry and pattern;(2) The structure of children b early mathematical ability was stable across different ages but the structural model was not consistent completely;(3) Boys' structural model was identical with that of girls'.

经验证性因素分析发现：(1)儿童早期数学认知能力的结构模型是合理的，可接受的，具有较好的构想效度，具体讲，数、计算、测量、空间／几何和模式认知能力五个维度共同解释著儿童早期的数学认知能力；(2)不同年龄儿童早期数学认知能力的结构具有稳定性，但是结构模型並不完全一致，某些项目的解释率有所不同；(3)男、女儿童早期数学认知能力的结构模型具有一致性。

As the Anu arri ved upon Earth, they soon began to age, and they di scovered that the geometry that they spun woul d i nvert i n the magneti c bi osphere of Terra.

当 Anu 人来到地球后，他们就很快老化，并且发现自己所运转的神圣几何形会逆转Terra 的磁性生物圈。

In this type of trap, the moement of the trapped ions is considerably more complex and not mathematically ascertainable. Howeer, it has the adantage of a much simpler geometry.

该团队建造了比平常直径要小的柱状捕获器，并优化了几何构造，并且用透明的导电平板更换了以往的终极电极。

In the geometry of matrices, the points of the associated space are a certain kind of matrices, there is an arithmetic distance of two points in this space, and there is a transformation group acting on this space. Two distinct points is said to be adjacent if their arithmetic distance is one or minimal.

在矩阵几何中，空间中的点是某一类矩阵，两点间存在一种算术距离，还有一个变换群作用在这个空间上，两个不同的点间的算术距离为1或最小时称这两点是粘切的。

The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

His Office is to make one knowing in Astrology, Geometry, and other Arts and Sciences.

他的办公室是在让人知道星象，几何、艺术和科学等。

In the third chapter, we use the method of localization at infinity of space to study index theorems with coarse geometry.

第三章利用在空间无穷远处的局部化方法研究了关于粗几何的指标问题。

This inspires us to use the method of localization at infinity of space to study the relevant index problems of coarse geometry.

用这种空间局部化方法，我们构造了新的指标代数并研究了相应的指标定理。

By density functional theory B3LYP method with 6-31G basis set, the geometry and electronic structure of the natural inhibitor and derivatives of Adenylosuccinate synthetase were optimized and their thermodynamic stability was also analyzed. The relationship between their electronic structures and bioactivities were discussed based on the Mulliken bond order, atomic net charge distribution and molecular surface electrostatic potential.

利用密度泛函B3LYP方法选择6-31G基组对腺苷酸琥珀酸合成酶天然抑制剂及其衍生物的结构进行优化，并对其稳定性进行了分析，同时采用Mulliken键序、原子电荷分布、表观静电势等对AdSS抑制剂及其衍生物电子结构与其生物活性相关性进行了理论研究。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。