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1·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.

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。

2·So, even if the speed is constant, that means, even if a length of the velocity vector stays the same, the velocity vector can still rotate.

因此即使速率不变，也就是说速度矢量的的大小不变，但它的方向可以做旋转。

3·And, in some cases, for example, if you know that the vector field is tangent to the curve or if a dot product is constant or things like that then that might actually give you a very easy answer.

例如，在某些情况下，如果已知向量场与曲线相切，或者内积是一个常数等等，那么结果将会很简单。

4·You can just multiply a normal vector by any constant, you will still get the normal vector.

一个法向量与任意常数相乘，还是法向量。

5·Then a voltage vector control scheme for induction motors based on constant stator flux is presented and it's nonlinear limitations are analyzed.

结合定子磁链控制，提出异步电机基于定子磁链幅值恒定的电压矢量控制方案，并对该方案的非线性局限进行了分析。

6·Subtract a constant from a vector's magnitude (shorten the vector) without using square root?

减去一个常数向量的大小（缩短向量），而不使用平方根?。

7·When the hue difference increased, the magnitude of color shift in test target decreased, but the deflection Angle of color shift vector from constant hue line increased.

当诱导域与试验域之间的色调差增大时，试验目标色觉位移的幅值减小，而色觉位移矢量偏离恒定色调线的偏向角却增大。

8·The control signals of invertor are produced by space vector modulation to achieve a small torque ripple and constant switch frequency.

以空间矢量调制方法来获得逆变器的开关信号，实现了小的转矩脉动和恒定的开关频率。

9·The stator flux-oriented vector controlling strategies of keeping stator frequency constant and capturing the maximum wind power are verified by experiment results.

实验结果验证了定子磁链定向的矢量控制策略既能保证定子输出频率恒定，又能较好地跟踪风力机的最大功率输出。

10·Then a vector control method with speed closed-loop and magnetic linkage closed loops put forward, which is based on the constant velocity by means of stator flux-oriented vector control.

在基于定子磁场定向的矢量控制恒线速运行控制方案的基础上，提出了一个速度闭环、磁链闭环的矢量控制方案。