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Orthogonal vs Perpendicularity - What's the difference?

orthogonal | perpendicularity |

As an adjective orthogonal

is (geometry) of two objects, at right angles; perpendicular to each other.

As a noun perpendicularity is

the condition of being perpendicular.

orthogonal

English

(Orthogonality)

Adjective

(-)
  • (geometry) Of two objects, at right angles; perpendicular to each other.
    • A chord and the radius that bisects it are orthogonal .
  • (mathematics)
  • # Of a pair of vectors: having a zero inner product; perpendicular.
  • The normal vector and tangent vector at a given point are orthogonal .
  • # Of a square matrix: such that its transpose is equal to its inverse.
  • # Of a linear transformation: preserving its angles.
  • # Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
  • (statistics) Statistically independent, with reference to variates.
  • (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.
  • Of two or more problems or subjects, independent of or irrelevant to each other.

    • Derived terms

    * orthogonality

    Related terms

    * orthogonalization * orthogonal base * orthogonal matrix * orthogonal transform * orthonormal

    See also

    * uncorrelated

    perpendicularity

    English

    Noun

    (-)
  • The condition of being perpendicular.
  • *
    • In their spare moments the animals would walk round and round the half-finished mill, admiring the strength and perpendicularity of its walls and marvelling that they should ever have been able to build anything so imposing.