微分

Convolutional differentiator is obtained by inverse Fourier transform of bandlimited Fourier spectra of partial derivative operator. CD is symmetric or antisymmetric and decays rapidly.

褶积微分算子是将偏导数算子的带限傅氏谱进行反傅氏变换得到的，具有对称或反对称和衰减速度快的特点。

According to the change of the enemy\'s quantity and the qualitative theory of the differential equation, we research the spruce aphides and its predator system. At the same time, we discussion the spruce aphid multiplication model when the natural enemy quantity is a certain value and the periodic oscillating model whose the quantity of the natural enemy changes along with the time. Obtains the stability condition of the balance point and the limit-cycle existing condition, the system presents the dissipative structure\'s character. Finally it explains that this theoretical analysis has certain practical significance regarding the preventing and controlling harmful insect.

第五章，松毛虫与其天敌的关系是食饵和捕食者的关系，根据天敌数量的变化，利用微分方程定性理论，研究松毛虫与天敌系统，讨论天敌数量为一定时的松毛虫增殖模型和天敌数量随时间变化的周期振荡模型，得到正平衡点全局稳定性和极限环的存在条件，通过计算机模拟，说明周期振荡的捕食模型能够呈现典型的时间耗散结构特征，对于防治害虫有一定的实际意义。

Differential geometry is widely applied into the mechanics and engineering technology.

微分几何在力学和一些工程技术方面有广泛的应用，但在地质学中的应用还相对缺乏。

To resolve thismodel,one approximate liner first derivative equation is used.An simple caculatemodel is setted up for caculating the motive adjust,and a mathematical equation incaculating the range of pressure motion in the system.Experiment data showe thatthese models have high accurecy.

在此基础上，对分析模型采用一阶微分近似线性化处理，建立了计算动态调节过程的简化计算模型，并以此建立了计算系统压力动态变幅的计算式，试验表明简化模型具有较高的精度。

Using this method, we will get the approximate solution of the fractional differential equations.

第三章在第二章的基础上把这个方法推广到更加复杂的分数阶微分方程，同样通过数值例子表明了该方法的高精度性和有效性。

CA method can provide better approximate results when the differential physical effect of Pi is considered.

当考虑到占有几率Pi的微分效应时，相干近似方法能够提供更好的近似结果。

Most photorealistic solutions use a form of raytracing and complex differential equations to approximate the optical behaviour and motion dynamics of a water body.

大多数解决方案使用光线跟踪和复杂的微分方程来近似水体的光学行为和运动动力学。

The great advantage of using these difference equations is that they can be solved on a digital computer to provide approximate solutions to the differential equations.

将这个近似的差分式子代入微分方程中就得到了微分方程的差分近似，这个差分方程可直接用计算机进行求解，使计算方便快捷。

Based on the Influence factors of location error in clamping apparatus design, this paper has established the relation function between the procedure size s or angles and the location norm parameters, in which the positioning error substituted by the approximate differential value of function.

分析夹具设计中定位误差的影响因素，建立了工序尺寸或角度与定位基准有关量的函数表达式，由函数的微分近似代替定位误差。

Because of appearing empty aggregates in the time zone (the time zone do not include the information), we only establish the indeterminate grey differential equation according to the approximate condition of the differential equation.

利用灰色微分方程中的最小二乘估计参数：进而得到灰色神经网络初始的权值及阈值，这样使初始的权值和阈值更接近准确值，克服了以往BP网络中初始权值的随机性和不确定性，减少了网络的训练次数，提高了网络收敛速度和输出的精度，为避免网络训练陷入局部极小值也起到了重要的作用。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。