orthogonal

Etymology

Definitions

1. 1

   Of two objects, at right angles

   Of two objects, at right angles; perpendicular to each other.

   • A chord and the radius that bisects it are orthogonal.
2. 2

   Of a pair of vectors

   Of a pair of vectors: having a zero inner product; perpendicular.

   • The normal vector and tangent vector at a given point are orthogonal.
3. 3

   Of a square matrix

   Of a square matrix: such that its transpose is equal to its inverse.

4. ›+ 7 more definitionsshow fewer

   1. 4

      Of a linear transformation

      Of a linear transformation: preserving its angles.

   2. 5

      Of grid graphs, board games and polyominoes

      Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

   3. 6

      Of a pair of elements in an ortholattice

      Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.

   4. 7

      Statistically independent, with reference to variates.

   5. 8

      Of two or more aspects of a problem, able to be treated separately

      Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.

      • The content of the message should be orthogonal to the means of its delivery.
      • An orthogonal approach also promotes reuse. If components have specific, well-defined responsibilities, they can be combined with new components in ways that were not envisioned by their original implementors.
   6. 9

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

      • Even in a geostate, some people are willing to fight and die for their views, but the institutional change to a polystate seems somewhat orthogonal to such issues.
   7. 10

      An orthogonal line.

      • All of the orthogonals in this painting display an understanding of linear perspective.

The neighborhood

• neighborbiorthogonal
• neighbororthogonal base
• neighbororthogonalization
• neighbororthogonal matrix
• neighbororthogonal transform
• neighbororthonormal
• neighborsemiorthogonal