# orthogonal system

## orthogonal system

[ȯr′thäg·ən·əl ′sis·təm]
(mathematics)
A system made up of n families of curves on an n-dimensional manifold in an n + 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 the n curves 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.
References in periodicals archive ?
n]], k [less than or equal to] n, is said to be an orthogonal system over [L.
The problem of nonlinear bending of a strip of polystyrene is analyzed using the orthogonal system of coordinates.
To determinate clamping pressure q, per unit of flange area at the given moment of drawing we use energy equation of stability which for the ring plate set in curved orthogonal system of coordinates [[alpha].
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.
Schaefer (1974:169) defined an orthogonal set S of nonzero positive elements in a Banach lattice E to be a topological orthogonal system (t.
Hilbert space with reproducing kernel, restriction operator, doubly orthogonal system, min-max principle
In the literature, the matrix M is called the comrade matrix of A with respect to the orthogonal system [{[P.
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.
For the proofs, we have to study the monic orthogonal system [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] obtained by inserting the polynomial w(x) := [[product].
But, the average value of two-phase orthogonal system is very close to the three-phase system, and it's important that average value of active power of such a system is constant, see Fig.

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