Definitions for euclidean distance
eu·clidean dis·tance

WiktionaryRate this definition:3.5 / 4 votes

1. Euclidean distancenoun

   The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points a = (a, a) and b = (b, b) is defined as:

WikipediaRate this definition:0.0 / 0 votes

1. Euclidean distance

   In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefore occasionally being called the Pythagorean distance. These names come from the ancient Greek mathematicians Euclid and Pythagoras, although Euclid did not represent distances as numbers, and the connection from the Pythagorean theorem to distance calculation was not made until the 18th century. The distance between two objects that are not points is usually defined to be the smallest distance among pairs of points from the two objects. Formulas are known for computing distances between different types of objects, such as the distance from a point to a line. In advanced mathematics, the concept of distance has been generalized to abstract metric spaces, and other distances than Euclidean have been studied. In some applications in statistics and optimization, the square of the Euclidean distance is used instead of the distance itself.

WikidataRate this definition:1.0 / 1 vote

1. Euclidean distance

   In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" distance between two points that one would measure with a ruler, and is given by the Pythagorean formula. By using this formula as distance, Euclidean space becomes a metric space. The associated norm is called the Euclidean norm. Older literature refers to the metric as Pythagorean metric.

How to pronounce euclidean distance?

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How to say euclidean distance in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of euclidean distance in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of euclidean distance in Pythagorean Numerology is: 5

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Euclidean_Distance
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Euclidean_Distance
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=euclidean distance