let $x$ be a generic act in a given set $F$ of feasible acts and let $f(x)$ be an index associated to (or appraising) $x$; then find those $x^{0}$ in F which yield the maximum (or minimum) index, i.e., $f(x^{0})$ greater than or equal to $f(x)$ for all $x$ in $F$.
I am not understanding what it means for $f$ of $x$ to be an 'index to or appraising $x$'
I am also confused about the notation used for $x^{0}$ -is it the case the $x^{0}$ is just an indication of a single act? -is $x^{0}$ a part of a the set $x^{0}$,$x^{1}$,$x^{2}$...$x^{n}$?
I am also confused about how to interpret $f(x^{0})$ greater than or equal to $f(x)$ -will the clarification for my second question help me interpret $f(x^{0})$ -what is the difference between $f(x^{0})$ and $f(x)$
I apologize for my lack of knowledge... I am having a lot of problems interpreting the different symbols that are presented in books on probability, statistics and game theory. I keep running into notation involving infinite sets and complex functions... is there a book that can provide an elementary introduction to infinite sets and/or complex functions?
I have not began to take a calculus class and I have only began a pre-calculus class for my first semester in college. I was hoping to get ahead by studying topics such as, probability statistics and game theory.