Set Distance
# Definition
Let $(M, d)$ be a Metric Space and suppose $A, B \subset M$. Then we say the Set Distance between $A$ and $B$, denoted $\text{dist}{A, B}$, is $$\text{dist}{A, B} := \inf\limits_{x \in A, y \in B} d(x, y).$$
Search
Let $(M, d)$ be a Metric Space and suppose $A, B \subset M$. Then we say the Set Distance between $A$ and $B$, denoted $\text{dist}{A, B}$, is $$\text{dist}{A, B} := \inf\limits_{x \in A, y \in B} d(x, y).$$