对二阶物面边界条件采用数学手段，推导出一个没有二阶空间导数的表达式，以便于计算。
Additionally, a mathematical manipulation is adopted to remove the second-order spacial derivatives in the body surface boundary condition.
所用的可靠度计算公式直接在基本变量空间中求解，避免了繁琐的求偏导数和正交变换工作。
The formula of reliability index is calculated in the origin space directly, so derivation and orthogonal transformation are avoided.
然后介绍了一种新的基于指定输入—输出空间的迭代学习控制思想，它即不需要对误差信号求导数，也不需要知道被控对象的对偶映射。
Then introduce a new theory of ILC based on prescribed input-output subspace, it requires neither derivatives of the error signals nor dual mapping.
将均匀杆自由纵振动运动方程中对空间的偏导数用差商代替，就得到一维单原子链晶格振动的运动方程。
Raplacing the spatial derivatives by spatial differences in the equation of the latter, we get the equation of the former.
本文介绍了二度空间重力垂直一次导数的级数展开计算法。
The 2d series expansion algorithm of vertical first derivative of gravity is briefly stated in this paper.
本文给出了由实测重、磁异常计算上半空间一阶垂直导数的一种方法。
A method for computing first vertical derivatives in the upper half-space from observed gravity and magnetic anomaly data is given in this paper.
本文对线性空间中的凸集上的实值函数定义一种导数，用其研究函数凸性，得到了上述三种凸函数的若干判定定理。
This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.
引入状态空间方法，以三个位移分量及位移分量的一阶导数为状态变量，建立状态方程。
The state equation were established based on the governing equations, in which the displacement components and their first derivatives were chosen as state variables.
引入状态空间方法，以三个位移分量及位移分量的一阶导数为状态变量，建立状态方程。
The state equation were established based on the governing equations, in which the displacement components and their first derivatives were chosen as state variables.
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