解析微分

We show that a 1-D signal and its derivative at different scales can be represented by one analytic function defined on the unit disc in the complex plane.

我们证明一个一维信号及其微分在所有尺度下可以用复平面上的单位圆上的解析函数来表示。

Unfortunately, most of the analytical solution for fractional differential equation are complicated owing to complex series or special functions.

然而大多数分数阶微分方程的解析解含有复杂的级数或特殊函数，不利于近似计算。

A damage identification method based on axial vibration was presented on the basis of theoretical derivation axial vibration differential equation and analytical solution of three kinds of support form.

在理论上推导悬臂梁轴向振动微分方程及其3 种支座形式的解析解的基础上，提出了一种基于轴向振动的结构损伤识别方法。

With this model analytical solutions for differential equations of the projectile's motion within an ideal bore can be obtained. Comptations for some projectile...

求得了对称弹丸在理想身管中的运动微分方程的解析解，并对某些弹炮系统进行了计算，得出了一些有用的结论。

To solve the B-Ss pricing formulas,there are many popular methods now,such as partial differential equation,analytical approximation,binomial tree methods,finite difference method and Monte-Carlo simulation.

对于Black-Scholes期权定价模型，如今比较流行的定价方法有偏微分方程、解析近似方法、二叉树方法、有限差分方法和Monte-Carlo模拟等。

The differential equations that describe the artificial satellite motion are very complicated, and it is impossible to get the analytic express of solution.

描述人造卫星运动的微分方程非常复杂，不可能给出解的解析表达式。

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上，利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系，我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性，首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式，进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性，得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

On applying the theory of differential geometry, the research shows the procedure for determining the required cutter path for cutting conical cam profile using a NC milling machine based on the analytical profile expression of conical cam with oscillation conical roller follower or with a translating conical roller follower established in 3D space. The analytical expression of cutter path is provided for a tapered endmill cutter, whose size may be identical to or smaller than that of the conical roller.

应用微分几何理论，以在3维空间所建立的圆锥滚子摆动从动件和直动从动件圆锥凸轮机构凸轮廓面的解析表达式为基础，对数控铣床加工圆锥凸轮廓面所需刀具轨迹方程的建立方法进行了研究，根据所采用的锥形刀尺寸等于或小于圆锥滚子尺寸的情况，推导出相应的刀具轨迹方程的解析表达式。

Adopting Lorentz-invariant coupling model of neutron-antineutron and neutral meson strong interaction, we have physical analysis and accurate calculation on the neutron and antineutron to two neutral meson renormalization chain diagram propagator, and acquire the theoretical result; furthermore, after application of it to the physical process analysis and cross-section evaluation in this reaction , the differential cross-section of which is given. Moreover, through the comparison among this calculation and those scenarios: neutron-antineutron tree diagram and renormalization chain diagram propagator contribution, some important information about radiative correction was obtained.

采用中子-反中子与中性介子强相互作用的Lorentz不变耦合模型，对中子反中子重整化链图传播子作了有关物理分析及其严格解析计算，获得精确理论计算结果；进而将此结果用于中子反中子反应生成两个中性介子反应的物理过程分析及其截面的计算研究中，并精确计算出中子反中子重整化链图传播下中子反中子反应反应微分截面；最后还将此计算结果与中子反中子树图和重整化单圈链图传播下该反应微分截面作了对比分析，获得了有相关辐射修正的重要信息。

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。