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orthogonality
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Definitions of orthogonality in various dictionaries:
noun - the relation of opposition between things at right angles
noun - the quality of lying or intersecting at right angles
ORTHOGONALITY - In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms. Two elements u and v ...
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Possible Dictionary Clues |
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the property of being orthogonal |
the quality of lying or intersecting at right angles |
the relation of opposition between things at right angles |
Orthogonality description |
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In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms. Two elements u and v of a vector space with bilinear form B are orthogonal when B(u, v) = 0. Depending on the bilinear form, the vector space may contain nonzero self-orthogonal vectors. In the case of function spaces, families of orthogonal functions are used to form a basis. * By extension, orthogonality is also used to refer to the separation of specific features of a system. The term also has specialized meanings in other fields including art and chemistry. |