Assertion: distance | /r/HasProperty | minimum value of an integral
Facets:
Source sentences:
text: The Euclidean distance between two points in space ( A = r → ( 0 ) {\displaystyle A={\vec {r}}(0)} and B = r → ( T ) {\displaystyle B={\vec {r}}(T)} ) may be written in a variational form where the distance is the minimum value of an integral:
text: The distance is the minimal value of this integral and is obtained when r = r ∗ {\displaystyle r=r^{*}} where r ∗ {\displaystyle r^{*}} is the optimal trajectory.