Euclidean distance Totally Explained

Everything about Euclidean Metric totally explained

In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" distance between two points that one would measure with a ruler, which can be proven by repeated application of the Pythagorean theorem. By using this formula as distance, Euclidean space becomes a metric space (even a Hilbert space). Older literature refers to this metric as Pythagorean metric. The technique has been rediscovered numerous times throughout history, as it's a logical extension of the Pythagorean theorem.

Definition

The Euclidean distance between points

P=(p_1,p_2,dots,p_n),

and

Q=(q_1,q_2,dots,q_n),

, in Euclidean n-space, is defined as:
ť

sqrt.

Further Information

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