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orthogonal

One entry found.


Main Entry:
or·thog·o·nal 
          Listen to the pronunciation of orthogonal
Pronunciation:
\ȯr-ˈthä-gə-nəl\
Function:
adjective
Etymology:
Middle French, from Latin orthogonius, from Greek orthogōnios, from orth- + gōnia angle — more at -gon
Date:
1612
1 a: intersecting or lying at right angles b: having perpendicular slopes or tangents at the point of intersection <orthogonal curves>2: having a sum of products or an integral that is zero or sometimes one under specified conditions: as aof real-valued functions : having the integral of the product of each pair of functions over a specific interval equal to zero bof vectors : having the scalar product equal to zero cof a square matrix : having the sum of products of corresponding elements in any two rows or any two columns equal to one if the rows or columns are the same and equal to zero otherwise : having a transpose with which the product equals the identity matrix 3of a linear transformation : having a matrix that is orthogonal : preserving length and distance4: composed of mutually orthogonal elements <an orthogonal basis of a vector space>5: statistically independent
or·thog·o·nal·i·ty 
          Listen to the pronunciation of orthogonality \-ˌthä-gə-ˈna-lə-tē\ noun
or·thog·o·nal·ly 
          Listen to the pronunciation of orthogonally \-ˈthä-gə-nəl-ē\ adverb


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