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 March 3rd, 2019, 07:16 AM #1 Newbie   Joined: Mar 2019 From: europ Posts: 1 Thanks: 0 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…
 March 4th, 2019, 02:55 PM #2 Member     Joined: Oct 2018 From: USA Posts: 88 Thanks: 61 Math Focus: Algebraic Geometry 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"
March 4th, 2019, 02:57 PM   #3
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 Originally Posted by Greens 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. March 4th, 2019, 07:44 PM #4 Senior Member Joined: Sep 2016 From: USA Posts: 635 Thanks: 401 Math Focus: Dynamical systems, analytic function theory, numerics Quote:  Originally Posted by dsb 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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