查询词典 analytic geometry

It was found that the geometries of the studied materials were significantly affected by the ring size and intramolecular charge transfer. The HOMO level, LUMO level, and band gap of the studied model compounds were well controlled by the acceptor strength. However, the electronic properties of the studied polymer showed a significant different trend with the acceptor strength due to the geometrical transformation. The model compound of EDOT-TP and T-TP has the aromatic geometry but is transformed to the quinoid geometry for large intramolecular charge transfer. The small bond length alternation and large acceptor strength in the EDOT-BDP polymer also results in the smallest Eg of 0.7 eV among the studied polymers.

我们发现环的大小以及分子内电荷转移对结构有很大的影响，而小分子的HOMO、LUMO和能隙受到电子受体强度所控制，然而，高分子的电子特性与其构成分子却有明显不同的趋势，这主要是由於分子结构的转变，如小分子EDOT-TP以及T-TP因分子内电荷转移，使其高分子结构由aromatic转变成quinoid；而EDOT-BPP因其键长改变量小和良好的电子受体强度，使其能隙仅0.7个电子伏特。

First, the basic principles of geometry rectification of digital aerial images and raster relief map are introduced and thus the accuracy of geometry rectification is improved.

首先，重点阐述了数字航空影像几何纠正，以及栅格地图变形纠正的基本原理，进一步提高了几何纠正的精度。

By using techniques from robust statistics, we obtain the approximations of the underlying surfaces. This leads to a conceptually good local patch with precise geometry properties, and as a result, the influence of noises is reduced. In addition, we also present a diffusion method to smooth the geometry properties, including principle curvatures and Frenet frame. The method ensures that the surfaces are smooth in the curvature space, and maintain the details, features and optimize the normals. The results show that, even in a high level noise situation, our algorithm can remove noise effectively, and at the same time keep the details of the model.

与传统的双边滤波去噪算法不同，该算法通过引入鲁棒统计理论获得模型表面较为准确的几何属性；进而在曲率空间中对包含主曲率和Frenet标架的表面几何属性进行各向异性的滤波，既有利于保持模型的细节，又能保证曲面的光滑性；与此同时，优化各个顶点的法向；最后在优化后的几何属性引导下，在几何空间中进行高阶双边滤波去噪。

It is also considered to study the Finsler geometry which deal with the Chern''s connection、flag curvature、Ricci scalar of Finsler manifolds、Finsler submanifold geometry, and harmonic maps between Finsler manifolds.

研究芬斯勒几何的某些问题，包括芬斯勒流形的陈省身联络、旗曲率、Ricci数量、芬斯勒子流形几何以及芬斯勒流形间的调和映射等。

Geometry pieces. Instead of having one geometry set influenced by many bones, the

通过在不同的模型块之间建立点连接对于创建相应骨骼体式一个行之有效的办法。

It was found:(1) the stability of the clusters increased with the bond number in the clusters;(2) the clusters with three dimensional geometry are more stable than ones with two decisional geometry;(3) the ionic potential of the clusters in gas phase and on the surface of the silver bromide grains are all positive, and the electron affinity are all negative.

结果表明；气相中团簇的稳定性随团簇中键数的增加而升高，三维构型的稳定性大于二维构型的稳定性；气相中Ag〓团簇的电离能都大于零，电子亲和势都小于零；溴化银颗粒表面的Ag〓团簇的电离势也是大于零，电子亲和势也是小于零。

A 3-D solid unit cell geometry model is developed, the characteristics of geometry are studied and yarn-jamming condition is discussed.

该几何模型考虑了纤维束在内部、边界及边角的不同交织方式，纤维束在整个编织过程中的连续性，保证了三维编织复合材料的结构完整性。

Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern.

最近十几年的，产生了新兴的分形几何学，空间具有不一定是整数的维，而存在一个分数维数，这是几何学的新突破，引起了数学家和自然科学者的极大关注。

It thinks that Complete Principle of Measurement inherited the Writing Style of Elements. Secondly, it is taken out five key parts——plane geometry, solid geometry, conic, spherical trigonometry and spherical astronomy part——to comprehend. The main contents of mathematics and astronomy involved in Complete Principle of Measurement have been set up respectively in accordance with the characteristics of their subject.

其次，又按照学科分布从中抽出平面几何、立体几何、圆锥曲线、球面三角和球面天文等五部分内容进行重点解读，认为《测量全义》中所涉及到的主要数学和天文学内容已经按照学科特点分别形成和建立起来，为后来西学的进一步传播做出了贡献。

Based on the features of spherical geometry, the writer thinks thatit is an effective way for students to learn spherical geometry wellby "practising mathematics" themselves.

鉴于球面上的几何内容的特点，笔者认为使学生切身体会"做数学"是学好球面上的几何的有效途径。

The receding calculations and experiment analyses in this subject are built on the blood cast of pig tongue.

本研究课题的前期工作是采用猪舌血管铸型模拟人舌而进行的数值计算与实验分析。

"Each human infection constitutes an opportunity for genetic modification of the virus through reassortment, mutation, or both...."

&每一次人类的感染都暗藏着一次基因修改的机会，无论是通过病毒的整合、突变或者兼而有之。。。。&