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March 3rd, 2019, 07:16 AM   #1
dsb
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vocabulary

Hello and thanks for reply

How do you write

the set of all maps from $\mathbb {R}^*_+$ to the set of all maps from $\mathbb {R}^*_+$ to $\mathbb {R}^*_+$


like this $\left(\mathbb {R}_+^{*\ \mathbb {R}_+^*}\right)^{\mathbb {R}_+^*}$

or more Simply?

is $f_{\phi}\in \left(\mathbb {R}_+^{*\ \mathbb {R}_+^*}\right)^{\mathbb {R}_+^*}$ … blablabla…
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March 4th, 2019, 02:55 PM   #2
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I would use

\displaystyle \{f : \mathbb{R}^*_+ \mapsto \{g: \; \; \mathbb {R}^*_+ \mapsto \mathbb{R}\}\}

Reads like "The set of all functions f such that f maps from R to the set of all functions g such that g maps from R to R"
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March 4th, 2019, 02:57 PM   #3
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Quote:
Originally Posted by Greens View Post
I would use

$\displaystyle \{f : \mathbb{R}^*_+ \mapsto \{g: \; \; \mathbb {R}^*_+ \mapsto \mathbb{R}\}\}$

Reads like "The set of all functions f such that f maps from R to the set of all functions g such that g maps from R to R"
Delimit your markup with \$ to make it render properly as I did here.
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March 4th, 2019, 07:44 PM   #4
SDK
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Quote:
Originally Posted by dsb View Post
Hello and thanks for reply

How do you write

the set of all maps from $\mathbb {R}^*_+$ to the set of all maps from $\mathbb {R}^*_+$ to $\mathbb {R}^*_+$


like this $\left(\mathbb {R}_+^{*\ \mathbb {R}_+^*}\right)^{\mathbb {R}_+^*}$

or more Simply?

is $f_{\phi}\in \left(\mathbb {R}_+^{*\ \mathbb {R}_+^*}\right)^{\mathbb {R}_+^*}$ … blablabla…
Once you get to the point where notation is adding confusion instead of making things more clear, you should stop using it. If I needed to talk about this set I would write exactly what you said. something along the lines of.....

"Let $S$ denote the set of all maps from $\mathbb {R}^*_+$ to the set of all maps from $\mathbb {R}^*_+$ to $\mathbb {R}^*_+$."
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