The infimum is the greatest lower bound of a set S, defined as a quantity m such that no member of the set is less than m, but if epsilon is any positive quantity, however small, there is always one member that is less than m+epsilon. When it exists (which is not required by this definition, e.g., inf R does not exist), the infimum is denoted inf S.
In that case, we have to give them the "\".
What if the members haven't paid their membership fee? Do they remain members of the set?
inf denotes the infimum function.
The infimum is the greatest lower bound of a set S, defined as a quantity m such that no member of the set is less than m, but if epsilon is any positive quantity, however small, there is always one member that is less than m+epsilon. When it exists (which is not required by this definition, e.g., inf R does not exist), the infimum is denoted inf S.