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Jordan content of an $n$-cell (Definition)

Let $I = [a_1, b_1]\times\cdots\times[a_n,b_n]$ be an $n$ cell in $\R^n$ Then the Jordan content (denoted $\mu(I)$ of $I$ is defined as $$ \mu(I) := \prod_{j=1}^n(b_j-a_j). $$




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This is version 2 of Jordan content of an $n$-cell, born on 2003-05-11, modified 2007-05-12.
Object id is 4269, canonical name is JordanContentOfAnNCell.
Accessed 2482 times total.

Classification:
AMS MSC26B12 (Real functions :: Functions of several variables :: Calculus of vector functions)

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generalization by sauravbhaumik on 2007-02-10 21:41:08
Can't it be generalized to Jordan measure?
Please add this generalization to Jordan content.
Thanks and regards,
Saurav
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