orthogonal

From French orthogonal, from Medieval Latin orthogonalis, from Latin orthogonius (“right-angled”).

• (UK) IPA^(key): /ɔːˈθɒɡənəl/
• (US) IPA^(key): /ɔɹˈθɑɡənəl/

• Audio (US)

  (file)

• Audio (AU)

  (file)

orthogonal (not comparable)

1. (geometry) Of two objects, at right angles; perpendicular to each other.

   A chord and the radius that bisects it are orthogonal.

2. (mathematics)
   1. Of a pair of vectors: having a zero inner product; perpendicular.

      The normal vector and tangent vector at a given point are orthogonal.

   2. Of a square matrix: such that its transpose is equal to its inverse.
   3. Of a linear transformation: preserving its angles.
   4. Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
3. (statistics) Statistically independent, with reference to variates.
4. (software engineering) Of two or more aspects of a problem, able to be treated separately.

   The content of the message should be orthogonal to the means of its delivery.

5. Of two or more problems or subjects, independent of or irrelevant to each other.

• orthogonality
• orthogonals

orthogonal (plural orthogonals)

1. An orthogonal line

• uncorrelated

From Ancient Greek ορθός (orthós, “correct, straight, right”) and γωνία (gōnía, “angle”).

• IPA^(key): /ɔʁtɔɡɔnal/

orthogonal (feminine singular orthogonale, masculine plural orthogonaux, feminine plural orthogonales)

1. orthogonal

• “orthogonal” in le Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

From Medieval Latin orthogonalis, from Latin orthogonius (“right-angled”).

• Audio

  (file)

• Rhymes: -aːl

orthogonal (not comparable)

1. orthogonal

• senkrecht