The optimal objective value is a complicated piecewise linear function of the right-hand-side vector of the constraints, and its analytical expression is normally hard to obtain.

当线性规划约束条件的右端向量在一定范围内变化时，目标函数的最优值是右端向量的一个复杂的分片线性函数，但通常难以给出分析表达式。

youdao

But, for the right-hand side to make sense, and therefore for the equality to make sense, we need the vector field to be defined everywhere inside the region.

但是，要让等式右侧有意义，也就是等式要有意义，需要向量场在平面区域上处处都有定义。

youdao

But, for the right-hand side to make sense, and therefore for the equality to make sense, we need the vector field to be defined everywhere inside the region.

但是，要让等式右侧有意义，也就是等式要有意义，需要向量场在平面区域上处处都有定义。

youdao