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orthogonal system

   Also found in: Wikipedia 0.01 sec.
orthogonal system [ȯr′thäg·ən·əl ′sis·təm]
(mathematics)
A system made up ofnfamilies of curves on ann-dimensional manifold in ann+ l dimensional euclidean space, such that exactly one curve from each family passes through every point in the manifold, and, at each point, the tangents to thencurves that pass through that point are mutually perpendicular.
A set of real-valued functions, the inner products of any two of which vanish. Also known as orthogonal family.


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He covers Volterra integral equations, Fredholm integral equations, nonlinear integral equations, the singular integral equation, integro-differential equations, symmetric kernals and orthogonal systems of functions, and a range of applications.
Just as the convexity of the hall plays against the orthogonal system dominating the building, so the sloping plane of the ground floor (which extends the sloping paving of Schubert-Platz), plays against the strong horizontals of the building's section.
The villa's parti of an orthogonal system defined not by the horizontal floor, but by the gently sloping roof, invariably recalls Frank Lloyd Wright's Taliesin West, which sought to connect with the surrounding Arizona desert.
 
 
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