微分器

The principle of the optical differentiator is that when the silicon-based annular cavity resonator meets or is close to a critical coupling state, the spectra characteristic of the silicon-based annular cavity resonator is quite similar to the differentiator within certain range with the resonant wavelength as the center.

本发明的原理是当硅基环形谐振腔满足或接近临界耦合状态时，其在谐振波长为中心的一定范围内的频谱特性是微分器的很好的近似。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

A differentiator (204) generates an output indicative of the rate of change of the detector signal.

微分器(204)生成指示探测器信号的变化率的输出。

A new fast algorithm for calculating the coefficients of ideal digital fractional differentiator is presented.

提出了一种理想数字分数微分器系数的快速算法。

In Chapter 6,by changing Gauss elimination method of solving linear algebraicequations in software package based on MPROWs and PEROWs into the elimination byband matrix and the elimination by varied bandwidth,we obtained the solver of ordinarydifferential equations,which is suited to solve the partial differential equations by themethod of lines.

在第六章，我们将基于MPROWs及PEROWs的软件包中求解线性方程组的通常的高斯消去法修改为带状矩阵消元法及变带宽消元法，从而获得适合于用线方法求解偏微分方程的常微分方程求解器。

This paper is devoted to discuss the bifurcation of a chemostat with delay and simplified Holling type-IV response function.

关于培养器模型各种类型的方程如常微分方程，偏微分方程和时滞微分方程等已经有了很多结果。

Lightened on the turbine valve controller designed with feedback linearization theory and introduced nonlinear tracking-differentiator, a novel nonlinear PID valve controller was proposed. This controller can fit not only to plant with some model error and random disturbance in variable, but also to the variety of the structure and operating conditions of power system. The transient and dynamic characters of the controller are both satisfactory when big and small disturbances added. The good performance, wide stable margin and heavy robustness of the valve controller proved that it is a great practical application to enhance the stability of power system.

结合反馈线性化法汽轮发电机组的汽门控制研究成果，引入非线性跟踪微分器和非线性度变换控制，进行了发电机组的非线性PID汽门控制器设计，该控制器不仅能适应一定的系统模型误差与变量的不确定性干扰，而且对于电网结构和运行工况的变化有着较强的适应能力，在受大、小扰动的情况下，呈现了较好的暂态特性和动态品质，具有较好的控制品质、较高的稳定裕度和较强的鲁棒性能，有利于进一步改善电力系统的稳定性，显示了其较强的实用性。

Applied the simulation result to a profiling machine,it is proved to produce the same result in reality.

但在许多实际问题中被控对象的状态并不是可以全部获取的，故早些时候的MRACS设计方案都采用微分器来产生对象输出的各阶导数。

However, since you can't buy a zero without buying a pole, there are no true differentiators.

然而，由于不可能在没有极点存在的情况下实现零点，实际上是没有真实微分器存在的。

We cascade two perfect differentiators.

我们把两个完美的微分器串联起来。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。