The directional derivative in a direction that's perpendicular to the gradient is basically zero.
垂直于梯度的方向上,方向导数为零。
The test that we saw last time saying, well, to check if something is a gradient field if it's conservative, 0 we just have to compute the curl and check whether it's zero.
由上次的测试可知，如果一个东西是保守的，要确定是不是梯度，我们只需要计算旋度，查看它是否是。
Well, we've seen this criterion that if a curl of the vector field is zero and it's defined in the entire plane, then the vector field is conservative, and it's a gradient field.
我们已经知道了一个准则，如果向量场的旋度为零，而且它在整个平面上有定义，那么这个向量场是保守的，而且它是个梯度场。
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent.
一个向量场,如果定义在单连通区域并且旋度为零，那么它就是一个梯度场，并且其上的线积分与路径无关。
So, if you prefer, that's where the gradient vector is zero.
认为梯度向量为零也是可以的。
So-called gravity anomaly linear structure signal is derivative of gravity anomaly level total gradient on gravity direction, and the derivatives must be greater than zero.
所谓重力异常线性构造信号就是重力异常水平总梯度沿重力方向的一阶导数且是大于零值的那一部分。
An index within the gradient information of the arc voltage on the local region of zero can reflect fault location effectively.
含有电弧电压在零区梯度信息的指标可以有效地反映故障位置。
In zero pressure gradient flow, this local momentum loss is Minost an additive constant quantity. On the other hand, adverse pressure gradient results in amplification of this momentum loss.
在零压力梯度下，这个局部的动量损失几乎是一个附加的常量，而逆压梯度则会扩大这种动量损失。
In addition, since the source may be near zero Kelvin while the meter is at 300k, there is a very large temperature gradient.
此外，由于源可能处在接近0K的温度之下，而电压表则处在300k的温度之下，这就出现了很大的温度梯度。
This product is the main test project ontology counterweight and zero signal, zero sensitivity, gradient, and output signal of polarity of the check, etc.
该产品的主要测试项目是本体配重及零位信号、零敏度、梯度及输出信号极性的检查等等。
The increasing rates of pressure gradient of two sides of outburst coal decrease with the increase of gas pressure and reach to zero at last.
随着瓦斯压力的增加，突出煤样两端的瓦斯压力梯度增大率会逐渐减小，最终趋近于零。
On the condition of no influence on other performances, smaller Angle of ramp is better. It is best that the gradient between the start point of ramp and the bottom of ship is zero.
斜坡坡角在不影响其它性能时越小越好，若能使斜坡始点与船底接触处曲率梯度为零最好。
On the condition of no influence on other performances, smaller Angle of ramp is better. It is best that the gradient between the start point of ramp and the bottom of ship is zero.
斜坡坡角在不影响其它性能时越小越好，若能使斜坡始点与船底接触处曲率梯度为零最好。
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