本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解。
The exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.
采用矩阵迭代法可以直接迭代计算特征向量导数，避免了对奇异灵敏度方程的求解。
Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.
速度向量，是位置向量关于时间的导数。
So, the velocity vector is the derivative of a position vector with respect to time.
你很快就会明白为什么,导数dr/ds等于给定的单位u向量。
You'll see why very soon, in such a way that the derivative is this given unit vector u hat.
我们还学过加速度，也就是速度向量的导数。
And, we've also learned about acceleration, which is the derivative of velocity.
如果取的向量场是处处恒定的，所有点都是平移关系，所以没有散度，因为导数为零。
If you take a vector field that is a constant vector field where everything just translates then there is no divergence involved because the derivatives will be zero.
为求出随机特征对的方差，借助于模态截断概念推出诸特征值与特征向量对随机变量的偏导数。
Partial derivatives of eigenvalues and eigen vectors with respect to random variables for structures are deduced by means of the concept of mode truncation.
控制器的设计是直接基于称为伪偏导数的向量，伪偏导数是通过新型参数估计算法，根据给出的永磁直流直线电机非线性系统模型的输入输出信息在线导出的。
The design of controller is based directly on pseudo- partial-derivatives (PPD) derived on-line from the input and output information of the system using a novel parameter estimation algorithm.
该文利用集值映射的三种切上导数概念，给出了向量集值优化问题中严有效点的最优性条件。
In this paper, a few optimality conditions for strictly efficient points of set valued optimization are presented by using the concept of contingent derivatives of set valued mad.
在第七章里，讨论向量优化问题的二阶导数的稳定性。
In Chapter 7, we study stability of second-order derivatives in vector optimization problems.
在第七章里，讨论向量优化问题的二阶导数的稳定性。
In Chapter 7, we study stability of second-order derivatives in vector optimization problems.
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