orthogonal
IPA: ɔrθˈɔgʌnʌɫ
noun
- An orthogonal line
adjective
- (geometry) Of two objects, at right angles; perpendicular to each other.
- (mathematics)
- Of a pair of vectors: having a zero inner product; perpendicular.
- 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.
- Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
- (statistics) Statistically independent, with reference to variates.
- (software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
- Of two or more problems or subjects, independent of or irrelevant to each other.
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Examples of "orthogonal" in Sentences
- There are orthogonal compositions.
- Orthogonal term rewriting systems are confluent.
- The electrode grid is disposed orthogonal to the bars.
- They are the continuous counterpart of orthogonal wavelets.
- Evolution is orthogonal to the origin of the common ancestors.
- The designers attempted to make the assembly language orthogonal.
- The classical town was planned according to the orthogonal system.
- The orthogonal complement is always closed in the metric topology.
- That is they are the continuous counterpart of orthogonal wavelets.
- The polynomials of the first kind are orthogonal with respect to the weight.
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