Definition:Distance

Disambiguation

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Distance may refer to:

• Complex Analysis:
  • Distance between Complex Numbers

• Metric spaces:
  • A distance function in a measure defining a metric space.
  • The distance between sets is the minimum distance between elements in two subsets of a metric space.

• Metrical Geometry:
  • The distance between two points $A$ and $B$ is the length of a line segment joining $A$ and $B$.
  • The distance between two lines $L_1$ and $L_2$ in ordinary space is the length of the shortest line segment joining $L_1$ and $L_2$.
  • The distance between two parallel lines $L_1$ and $L_2$ is the length of a line segment joining $L_1$ and $L_2$ that is perpendicular to both.
  • The distance between two parallel planes $P_1$ and $P_2$ is the length of a line segment joining $P_1$ and $P_2$ that is perpendicular to both.
  • The angular distance between two points as measured from a common reference point.

• Information theory:
  • The Hamming distance between two codewords of a given linear code is the number of corresponding terms which are different between those two codewords.

• Graph theory:
  • The distance between two vertices of a given graph is the length of the shortest path between them.