The flexural vibration of a circular ring that is of axis symmetry is analyzed and calculated, the solid frequency expression of the flexural vibration is obtained.
对一类轴对称圆环的面内弯曲振动进行了分析计算，给出了圆环面内弯曲振动固有频率表达式。
First, if the nucleotide consists of a unit having circular symmetry about an axis parallel to the helix axis, the whole diffraction pattern is modified by the form factor of the nucleotide.
首先，如果核苷酸组成一个单位有一个圆形对称轴平行的螺旋轴，整个衍射图样是修改了外形的核苷酸。
And if you think about it, all these different societies have different geometric design themes they use. So Native Americans use a combination of circular symmetry and fourfold symmetry. You can see on the pottery and the baskets... Here's an aerial photograph of one of the Anasazi ruins; you can see it's circular at the largest scale, but it's rectangular at the smaller scale, right?
事实上，不同的社会有不同的几何建筑规划方案，在北美，人们喜欢圆形对称、四重对称，你可以在陶罐和篮子上看出来……这是Anasazi遗迹的航拍图，图上看出大局上呈现圆形，而局部则呈现方形。
Based on symmetry of the circular light spot of the laser, a two dimensional numerical simulation of temperature fields of laser molten pool has been developed.
利用激光圆形光斑对称性的特点，建立了激光表面快速熔凝条件下温度场的二维数值模型。
In the different magnetic field, we calculated the nearest energy space level statistic, we find that the nearest energy level spacing follow the Poisson distribution, so it is still an integrable system when applied external magnetic field for the higher symmetry circular quantum billiard system.
对不同磁场下的能量本征值进行能级统计分析发现最近邻能级间隔分布符合Poisson分布，说明对称性比较高的圆形量子台球即使在加外磁场以后仍然是可积体系。
This paper uses circular disk models in experiments to measure failure stresses around the hole, because its axial symmetry can decrease the material discrete influence.
因为轴对称性，圆盘模型可以减少玻璃材料离散性的影响，所以比较适合进行测量孔边破坏应力的试验。
Based on the elasticity theory of spatial axial symmetry question, the paper established the stress formula for the carbon fiber clothes strengthening concrete circular section column theoretically.
对影响部分预应力混凝土圆柱的变形性能和变形恢复性能的各种因素做了定量的研究，并经过回归分析提出了各特征点的近似计算公式。
Experimental Study of Beam Quality Factor M~2 Matrix for Non-Circular Symmetry Beam
非圆对称光束M~2因子矩阵的实验研究
Geometric optics is used to analyze the influence on beam transmission as circular symmetry manufacture error exists on an axicon.
用几何光学分析了圆锥透镜的锥面存在圆对称加工误差时，对光束传输变换的影响；
Influence of Manufacture Error with Non-Circular Symmetry in an Axicon on the Bessel Beams Quality
轴棱锥非圆对称加工误差对贝塞耳光束质量的影响
By the analysis of stress distortion of circular load symmetry flat plate, starting from the entire deriving course of thickness calculation formula, derives the simple formula of calculating blind flange thickness, which is fit for oral calculation of hydrostatic pressure testing of in-situ equipment and pipeline.
通过对对称载荷圆形平板的应力变形进行分析，从其厚度计算公式的整个推导过程入手，归纳整理出适合于施工现场设备及管道等试压时，所需的盲板厚度的简易计算公式，使其达到现场口算化。
Finding the common tangent of two circular cone curves with the communal axis of symmetry
求具有公共对称轴线的二圆锥曲线的公切线
Assuming that the point spread function (PSF) is circular symmetry and considering that the image is actually complex conjugate symmetry in frequency domain, authors establish a new cost function in frequency domain.
算法假设退化系统的点扩散函数具有圆对称性，并考虑图像的频域具有复共轭对称性，在频域里建立了新的优化判据；
By the analysis of near-field imaging properties of the two-dimensional square-lattice photonic crystals consisting of circular, square, triangular, elliptical and rectangular rods, respectively, we find that the image spot moves laterally with respective to the rectangular slab when the symmetry of the rods reduces for a certain degree.
通过对分别由正方形、三角形、椭圆形、长方形等形状介质柱组成的二维正方晶格光子晶体平板近场成像特性的理论分析，发现当介质柱形状的对称性降低到一定程度后可以实现光子晶体近场成像的纵向平移。
Diffraction theory and stationary phase method are adopted as a manufacture error is not a circular symmetry.
用衍射理论及稳相法分析了锥面的非圆对称加工误差及横截面由圆变为椭圆时，其后衍射光场的变化情况。
The Axisymmetric Creeping Flow in an Infinite Long Circular Cone with a Sphere Moving Along the Axis of Symmetry
圆球沿无限长锥形管道运动的轴对称蠕流
In this paper, a new method of equivalence of the circular symmetry design and circular difference set is proposed, and some possible mistakes in the combinatorial design document are discussed.
给出循环对称设计和循环差集等价证明的新方法，同时对一些组合设计文献中的某些问题进行了探讨。
Chiral fiber gratings (CFGs) are a new kind of optical waveguide structures, and can be manufactured by spinning optical fibers or preform with non-circular symmetry cross section at melting state at high speed.
手征光纤光栅是一种新型的光波导结构，它是通过熔融条件下高速扭转截面非圆对称光纤制作而成的。
Problems of laser beam divergence in unstable cavities with circular symmetry
圆对称非稳腔的光束发散度问题
This article discusses the mechanics calculating of semi-circular arch under the function of wanton vertical load by virtual principle and symmetry of structure, which can supply reference for structure designers and strength researchers.
用虚功原理和结构的对称性讨论了半圆形拱结构，在任意垂直荷载作用下的力学计算，可供结构设计和强度研究人员参考。