柱公式

All the WGMs spectra of cylindrical micro-cavities with four different diameters are precisely indexed by an explicit asymptotic formula with the positions and separation as parameters.

利用柱形微腔回音壁模式位置和间隔的解析近似公式，对实验所得的透射光谱做了模式的精确标定，共振波长的实验值和标定值间的误差小于0.05nm。

According to the specific state of molecules in the adhesive layer,and by usingthe principle of minimum potential energy in stable equilibrium,the energy sources of capillarity phenomena is introduced and the formula of liquid height in capillary is giv-en.

本文根据附着层中分子所处的特殊状态，利用稳定平衡时势能最小的原理，论述了毛细现象中能量的来源问题，并导出了毛细管中液柱的高度公式。

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangular-cylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangularcylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

According to the structural feature of parallel single disk gate valve,the strength and rigidity of body will be calculated with finite element method,and with cylindroid shell theory .

根据主闸阀结构特点，分别用有限元法和椭圆柱板壳理论公式计算了阀体的强度与刚度，并进行了分析对比，同时对闸板的刚度进行了校核。

It was necessary that the frontispiece of face was pre-supported in the especial stratum. Fourthly, by the model analytic value and the FEM numerical simulation, the advance reinforcement parameters were analyzed roundly, and its results explained that the parameters had optimal values. A series of formulations conforming loads born up for pre-reinforcement structure were given, and five rules for its design and choice were put forward.

全面分析了影响工作面超前预加固参数的因素；揭示了拱部超前预加固参数与地层参数、隧道开挖与支护参数等的内在联系；论证了地层预加固参数的最佳值概念；给出了确定超前预加固结构作用荷载的半拱法、全拱法和全土柱法理论计算公式；建立了隧道工作面上覆地层稳定性判别的准则；提出了工作面地层预加固参数设计与选择的5个指导原则；最后给出了一整套确定浅埋暗挖法隧道工作面地层预加固参数的动态设计方法。

One undercooling criterion of equi-nucleation is derived from analysis of Gaussian distribution model of heterogeneous nucleation.

通过对高斯异质形核公式的研究，给出了等轴晶开始形核的过冷度判据，更为准确的描述柱状晶向等轴晶的转变过程。

The DFP method is proved a officient one in processing unconstrainted optimization problem, so in this thesis, used the idea of mechanical structural optimization for reference analytically and extended modified formula of DFP—matrix to shape optimiation the DFP—Hamilton function method is put forward.

由于变尺度方法是有效的无约束优化方法，本文在分析的基础上借鉴了机械结构参数优化的思想，并将变尺度矩阵的修正公式扩展至形状优化中去，进而提出了变尺度—H函数极值法，并用其解决了梁、柱和复杂曲面的形状优化设计问题，取得了较好的效果。

The general analytical expression of the deformed high-order Bessel beam and its propagation properties of in self-focusing lens self-imaging process in free space wer.

从产生高阶贝塞尔光束的典型光路着手，通过将高阶贝塞尔光束分解为高阶贝塞尔余弦光束和高阶贝塞尔正弦光束，利用柱坐标下的Collins公式，分析了变形高阶贝塞尔光束的解析表达式和在自聚焦透镜中的传播。

Secondly, three kinds of mathematics model of optical vortex beams were introduced here. Then the propagation dynamics of optical vortex beams through the non-axis symmetry system is studied, this chapter includes the introduction of the symmetry vortex beam and the non- symmetry vortex beam, the deduction of the Collins diffract integral formula for the non-axis symmetry system, and the transformation of the vortex beam passing through the non-axis symmetry system has been described by using the numerical simulation. Then the general calculation for the orbit momentum of vortex beams, the matrix form for the orbit momentum of vortex beams, and the photon method to describe the orbit momentum of vortex beams are also introduced here. Finally, the interference about optical vortex beams was studied.

本文对涡旋光束进行了较为全面的介绍和研究，主要内容包括：（1）光学涡旋光束的基本理论，主要是介绍了单个光学涡旋光束在柱坐标中的一些表征，涡旋光束的奇异相位和光学涡旋的相位结构；（2）光学涡旋光束的三种数学模型；（3）光学涡旋光束在非轴对称光学系统中的传播动力学，其中介绍了对称涡旋光束与非对称涡旋光束，推导了非轴对称光学系统的 Collins 衍射积分公式，并利用计算机模拟图描述了对称涡旋光束经过非轴对称光学系统后涡旋形态的改变；（4）涡旋光束轨道角动量的一般计算，涡旋光束轨道角动量的矩阵形式，光子法描述涡旋的轨道角动量；（5）涡旋光束的干涉。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。