# 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Since the width of the orthogonal structure is 15mm, the characteristic impedance of the entire orthogonal system is 41.7m[OMEGA], that is, the paralleled characteristic impedance of 45 transmission lines, each of 1.88[OMEGA].
Thus, we have an orthogonal system by the Gramm-Schmidt method:
Kabasta, "Power electronic two-phase orthogonal system with HF input and variable output", Elektronika ir Elektrotechnika, vol.
Since y(x) [member of] [W.sub.2.sup.3][0, 1] and [{[[bar.[psi]].sub.i](x)}.sup.[infinity].sub.i=1] is a normal complete orthogonal system, then y(x) can be expanded by Fourier series with the normal orthogonal basis; namely,
The problem of nonlinear bending of a strip of polystyrene is analyzed using the orthogonal system of coordinates.
A system of functions ([f.sub.j])j[member of][Z.sub.n] satisfying any one of the three conditions in Lemma 5.4 is called an orthogonal system of sub-band filters.
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].sub.1], [[alpha].sub.2], z would have view (Birukov N.M., 1974):
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.o.s.) of E if the ideal generated by S is dense in E.
Kabasta, "Power electronics two-phase orthogonal system with HF input and variable output", Elektronika ir elektrotechnika (Electronics and Electrical Engineering), Kaunas: Technologija, 2009, no.
by attaching a rectangular orthogonal system of axes, having the origin in the crossing point of the two canals (as shown in fig.

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