Equation System Functions
# Definition
$S, R$ be a Sets. Consider the Equation System defined by $$f_{\alpha}(x)= b_{\alpha} \text{ }\forall \alpha \in A$$ where ${f_{\alpha}\in R^{S}}{\alpha \in A}$ and ${b{\alpha} \in R}{\alpha \in A}$ for some Index Set $A$. Then we call ${f{\alpha}\in R^{S}}_{\alpha \in A}$ our Equation System Functions.