orthogonal
/ɔɹˈθɑ.ɡə.nəl/
Frequency: Zipf frequency 2.98 in modern English
Meaning
adj
Of two objects, at right angles; perpendicular to each other.
adj
Of a pair of vectors: having a zero inner product; perpendicular.
adj
Of a square matrix: such that its transpose is equal to its inverse.
adj
Of a linear transformation: preserving its angles.
adj
Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
adj
Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
adj
Statistically independent, with reference to variates.
adj
Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
Example Sentences
- "A chord and the radius that bisects it are orthogonal."
- "The normal vector and tangent vector at a given point are orthogonal."
- "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."
- "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."
- "All of the orthogonals in this painting display an understanding of linear perspective."
Etymology
Origin
Word Breakdown
- Root: orthogonal, orthogōnālis, orthogōnius, ὀρθογώνιος
Regional Pronunciation
- American English: /ɔɹˈθɑ.ɡə.nəl/
- British English: /ɔːˈθɒɡ.ə.nəl/