作为一种自动微分技术，它结合了非标准分析、简正级数理论等的思想。
As a kind of automatic differentiation techniques, it is based on the nonstandard analysis and normal power series theory.
自动微分技术为带电粒子光学中的任意高阶像差分析与校正提供了一个很有效的工具。
It presents an effective and elegant tool for the analysis and correction of arbitrary order aberrations of charged particle optical systems.
自动微分(AD)技术以非标准分析为理论基础，是计算机数值计算领域中的一种很有前途的方法。
Automatic differentiation (AD), based on the nonstandard analysis theory, is a new technique in computer numerical analysis.
自动微分技术能以较低的成本精确计算中大规模问题函数的导数，在科学计算、工程计算及其应用领域中有着广泛的应用。
Automatic differentiation, by which the derivatives of the function can be evaluated both exactly and economically, is applied to the field of scientific and engineering computation extensively.
最后自动组成空间刚体自由振动微分方程的系数阵，并计算出刚体的自振频率和振型。
Therefore, the differential equations 'coefficient matrix of the free vibration of the spatial rigid body is automatically formed, and free vibration frequency and its type can also be found out.
基于虚拟仪器技术实现了I - V曲线和微分电导的自动化测量系统。
Based on virtual instrument technology, automatic measurement systems for measuring I-V curve and differential conductance were realized.
使用了自动生成参数矩阵及连接矩阵的技术，并采用梯形法求解微分方程，可对一般性的输入信号进行迅速、准确的仿真输出。
The paper also describes the technique of forming parameter matrix and linking matrix automatically and solving the differential equations of all kinds of signals.
该仪器根据电解剥离原理，采用微分电位法，解决了各层界面自动分层难题。
According to the principle of electrolysis and by using the method of differential electric potential, the apparatus can solve the problem of each layer delaminating from each other automatically.
本发明涉及一种微分滞环比较器及其应用，属于信号处理、自动控制与电子设备领域。
The invention relates to a differential hysteresis comparator and the application thereof, and belongs to the fields of signal processing, automatic control and electronic equipment.
其中连续动力学由微分或者差分方程描述，离散动力学由有限的自动开关描述，并由异步的离散事件驱动。
The continuous dynamics is governed by differential or difference equations, whereas the discrete dynamics is governed by finite automata that are driven asynchronously by external discrete events.
自动舵是船舶的必需设备，目前广泛使用的有比例微分舵，比例积分微分舵及自适应舵。
The automatic rudder is an indispensable equipment of the ship. The proportional-differential rudder, proportional-differential-integrating rudder and adaptive rudder are widely used now.
该算法利用拉普拉斯微分算子对像素灰度值的不连续性进行量化，根据微分算子对灰度突变的响应强度进行自动调整掩模内的各像素权值。
The algorithm can measure discontinuity of gray values by using Laplacian and adjust automatically gray values according to intensity of response to gray mutation in Laplacian.
利用一非线性微分控制减弱了参数自动调整阶段引起的系统抖动。
A nonlinear derivative control is introduced to avoid system chattering caused by parameters tuning.
氧环境扫描电子显微分析方法是针对氧化物类绝缘材料荷电的一种简便的、自动调节的荷电补偿方法。
The oxygen environmental scanning electron microscopy is a simple and automatic regulated charging compensation method on insulating oxide materials.
对钢管捆自动成形电液比例系统进行了模糊比例-积分-微分控制研究。
Fuzzy proportional-integral-differential control of steel pipe bundle auto-shaping electro-hydraulic proportional system was studied.
在自然科学以及技术科学，例如物理，生物学，自动控制，电子技术等等领域中，都提出了大量的微分方程问题，同样在社会科学的一些领域里也存在着微分方程的问题。
In the field of science and technology such as physics, biology, cybernation , electronics and so on, there are plenty of problems described with differential equations, so is sphere of sociology.
引入相对渗透率概念，建立了能反映浆液灌入动态过程及饱和度变化的非稳定渗流力学模型及浆液自动吸渗过程的微分方程。
The concept of relative permeability is introduced. The dynamic permeation models are well established, which can represent imbibition and be used to predict the distributions of grout saturation.
引入相对渗透率概念，建立了能反映浆液灌入动态过程及饱和度变化的非稳定渗流力学模型及浆液自动吸渗过程的微分方程。
The concept of relative permeability is introduced. The dynamic permeation models are well established, which can represent imbibition and be used to predict the distributions of grout saturation.
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