Let $X$ be any set over let $K^x$ be set of functions from $X$ to $K$. Then $K^x$ is a vector space over $K$ where
$\left( f+g\right) \left( x\right)=f\left( x\right) +g\left( x\right)$
$\left( \lambda f\right) \left( x\right) =\lambda \left( f\left( x\right) \right)$.
My question is: What is the $K^x$ (notations of upper x) mean?