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I have a function that maps a number of reals to points where each of its dimensions is constrained to the same interval. I thought about writing it like so:

$$f:\mathbb{R}^m\rightarrow (a,b)^n$$

Would this be correct?

David G. Stork
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overdisperse
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1 Answers1

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Why not? It coincides with the notion of Cartesian power which is commonly used.

metamorphy
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  • Just wondering because I haven't seen an example of that before and I don't write math often. – overdisperse Sep 14 '18 at 18:13
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    I go often with a sequences of $n$ zeroes and ones and I'm denoting it as elements of ${0, 1}^n$. It is surely common. (Unless you're dealing simultaneously with a dot product of $a$ and $b$ and denoting it $(a, b)$, you wouldn't face a confusion.) – metamorphy Sep 14 '18 at 18:16
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    Though if the "vocabulary" of the notions in your article grows valuable, you may think of a section devoted to it. – metamorphy Sep 14 '18 at 18:24