微分

Based on the theory, the differential geometry of statistical model proposed by Amari is generalized from probability space to Sugeno measure space, and a new notion of fuzzy manifold based on Sugeno measure is proposed, including the fundamental differential-geometrical structures of statistical models, the tangent space, and the Riemannian metric in a fuzzy manifold.

第四章介绍了Sugeno测度空间上随机变量的数字特征，在此基础上将学者Amari提出的统计流形从概率测度空间推广到Sugeno测度空间，提出了一种基于Sugeno测度的模糊流形分析方法，包括Sugeno模糊模型的基本微分几何结构，模糊流形中的切空间、黎曼度量。

We need two other circuits to solve simple differential equations by analog computer methods.

我们需要其他两个电路来解决简单的微分方程由计算机模拟方法。

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。

Main contents include: integral, three-dimensional analytic geometry, series and differential equation, etc.

主要内容包括：积分、立体解析几何、级数和常微分方程等。

The structure of analytic solution space is obtained and general form of the analytic solution is presented by means of Dirichlet Series. The convergence of Dirichlet Series solution is discussed.

根据比例延迟微分方程的性质，我们构造了Dirichlet级数形式的解析解，证明了Dirichlet级数形式解的收敛性，获得了保证方程解析解渐近稳定的充分条件。

The research fields are calculus of single variables functions and several variables functions, space analytic geometry, series, differential equation.

通过本课程的学习，使学生掌握一元函数微积分、向量代数和空间解析几何、多元函数微积分、无究级数、常微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。

We have researched the decentralized stabilization problem of nonlinear large scale composite systems by differential geometric and analytical method, it is shown that the results are better than that one obtained by using only one of these two methods.

本文分别采用代数方法与分析方法、微分几何方法和分析方法相结合的方式讨论了比较广泛的非线性组合大系统的分散反馈镇定问题。

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。

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。