User:Pmattos

$F(k, x) = \ldots$

$F_k(x) = \ldots$

$F^k(x) = \ldots$

$\int_{x=a}^{x=b} F(k, x)\mathbf{d}x \rightarrow F(k)$

$x_i = [x_i^{min},x_i^{max}]$

$X = (x_1^{H},\ldots,x_j^{H},x_1^{A},\ldots,x_k^{A})$

$X^{'} = (x_1^{S},\ldots,x_j^{S},x_1^{A},\ldots,x_k^{A})$

X = expected n-dimensional interval

$\sum_{k=1}^m f(P_k)\,\operatorname{m}(C_k)$

Action parameter vector (i.e., action inputs):

$\overrightarrow{p} = (p_1,\ldots,p_k)$

$\overrightarrow{p} = (\overbrace{ p_1^{h},\ldots,p_i^{h} }^{human}, \overbrace{ p_1^{a},\ldots,p_j^{a} }^{action}),\quad k = i + j$

k = i + j

Action random vector (i.e., action outputs), random variable, and a specific instance:

$\overrightarrow{X} = (X_1,\ldots,X_n)$

$\overrightarrow{x} = (x_1,\ldots,x_n)$

Human guessing action parameters:

$p_i^* = G^h_i(p_1,\ldots,p_k)$

Human prediction function:

$P^h(\overrightarrow{X} \in T) = \iint\ldots\int_\mathbf{T}\, P^a(p_1^*,\ldots,p_k^*,x_1,\ldots,x_n)\; \mathbf{d}x_1\ldots\mathbf{d}x_n$

$x \over y$

$x \to y$

$x \subset y$