But we know another vector that is also perpendicular to the level set of g. That is the gradient of g.
但我们知道有另外一个向量也是和g的等值面垂直的,这个向量就是g的梯度。
Then you know that the gradient of g is perpendicular to the level surface.
那么就知道了g的梯度,是垂直等值面的。
That means that the gradient of f is perpendicular to the level set of g.
也就是说f的梯度向量,应该与g的水平集垂直。
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