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Answers for “在二重积分的定义中,划分范数 $\|P\| \to 0$ 是什么意思?”

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The notation ∥P∥→0\|P\| \to 0 means that the size of the largest subrectangle in the partition approaches zero. As the largest rectangle shrinks to zero area, all other rectangles in the partition must also shrink to zero.

Conditions: Applies to the limit step in the definition of volume by double Riemann sums.; PP represents the partition of the rectangular region.