The problem is not every vector field is a gradient.

问题是，不是所有向量场都是梯度。

youdao

Say that f, our vector field is actually the gradient of some function.

也就是向量场f实际上是一个函数的梯度。

youdao

OK, so that's the general method of calculation, but we've seen a shortcut for work when we can show that the field is the gradient of potential.

这就是计算的一般方法，但求功的时候，如果向量场是某个势的梯度,是有捷径可走的。

youdao

My proposal with this fellowship will use the novel method of applying an electric field gradient instead of chemical substitution to induce charge carriers in large gap insulators, and thereby create new superconductors.

UNESCO: 2013 UK and Ireland Fellows