自由向量

据此，我们对向量教学、教材编写以及教师培训提出若干建议：（1）教材应明确提出自由向量概念。

Hereby , we suggest that : ( 1 ) the concept of free vector should appear in the text .

教学应展现向量概念从不同的物理情境到数学概念的抽象过程，突出自由向量的概念本质。

Teacher should show the abstractive progress of the concept of vector from physical contexts to mathematics .

首先建立了描述液晶畸变的Frank自由能的向量形式与张量形式之间的关系，由此得到了Frank弹性常数与描述液晶相变的取向序参量Sij的一阶空间导数的展开系数间的关系。

The relationship between the vector version and tensor version of Frank distortion energy for the liquid crystal was established , through which the relationship between the Frank elastic constants and the expansion coefficients of spatial derivatives for the orientational order parameter S ij of liquid crystalline polymer was obtained .

在主动悬架最优控制中采用了相对自由度状态向量，控制更容易实现；

Relative freedom state vector is used to study heavy vehicle active suspension ′ s optimal control theory , and makes control easier .

通过建立热力学状态空间，给出了简单明潦的自由能判据的向量表达式。

A concise vectoexpression formula can be given out by establishing state space .