解析微分

The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.

这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。

By means of variable substitution, it is found that the differential equation of motion is a Bessel equation. Based on the equation, responses of elastic displacement, velocity, acceleration of skip and cable tension close to sheave were deduced.

通过变量代换，发现箕斗运动微分方程是可求解的Bessel方程，从而得到了装载过程中箕斗的弹性位移、速度、加速度和天轮处钢丝绳的张力的解析表达式。

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

Based on the static balance among the pile and soil, the basic differential equations of the displacements of the pile and soil were deduced. Considering the compatibility condition of stress and strain , based on the vertical deformation of pile and pile-surrounding soil, the analytical formulas calculating the pile friction were drew.

本文通过建立复合地基中桩体和桩周土的基本微分方程，考虑应力协调条件，假设桩周土的位移模式，在此基础上推导出桩侧摩阻力和桩身轴力的解析式，并进一步研究相关影响因素。

Firstly, an overview is given on the wave equation issue, its solution, along with the historical and present studies of computability theory.

随着计算机科学的快速发展，应用计算机来给出非线性偏微分方程的解析近似解在理论上已成为可能。

Based on the domain superposition method and the differential cubature method as well as the Levy s general solution technique, a new semi-analytical solution has been developed in this paper, for free vibration analysis of moderately thick plates with abrupt thickness.

采用Mindlin中厚板理论，基于Levy解法和微分容积法，给出一种求解轴向受压的阶梯式变厚度板的自由振动问题的半解析解，板的边界条件为两对边简支、另两边任意。

The paper presents a linear transient solution for the solitary wave generated by a piston-type paddle in a finite flume based on the boundary condition derived by Dean and Dalrymple (1991). The wavemaker problem is simplified by decomposing the wave potential into two parts. One is the evanescent wave and the other is progressive wave. The possible solution for the evanescent wave is expressed in form of the Fourier series.

本文根据Dean与Dalrymple（1991）描述造波水槽内部之线性边界条件，将水槽内部之流速势分为振荡波与前进波以简化问题，再以Fourier级数展开，可将问题化为二非齐次常微分方程式，在给定造波初始条件的情况下即可解析有限长度造波水槽自静止开始造波一段时间后停止之线性暂态解。

At the same time, the AH-stability of θ-methods for the linear delay algebraic-differential equation is derived.

在对线性延迟微分代数方程θ-方法的AH-稳定性的研究中，给出了方程解析解渐近稳定的一个充分条件。

A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.

解析数学的一个分支，主要包括微分、积分和序列，并侧重于极限和收敛

The difference between the differential and the finite-difference operator is however a primitive error source in the numerics.

然而，解析性微分算子和离散性差分算子的差异却是造成数值计算的原始误差源。

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。