orthogonal

alternative orthagonal

1. not comparablegeometryOf two objects, at right angles; perpendicular to each other.

   A chord and the radius that bisects it are orthogonal.

2. not comparablemathematicsOf a pair of vectors: having a zero inner product; perpendicular.

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

3. not comparablemathematicsOf a square matrix: such that its transpose is equal to its inverse.
4. not comparablemathematicsOf a linear transformation: preserving its angles.
5. not comparablemathematicsOf grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
6. not comparablemathematicsOf a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
7. not comparablemathematicsStatistically independent, with reference to variates.
8. not comparablecomputingOf 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.

   1 more example

   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.

   1999, Andrew Hunt, David Thomas, The Pragmatic Programmer: From Journeyman to Master, Addison-Wesley Professional, →ISBN, page 36

9. not comparableOf 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.

   2014 March 22, Rick Weber, “Polystate: Book 2”, in Notes on Liberty

plural orthogonals · alternative orthagonal

1. An orthogonal line.

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