Elliptic Point

elliptic point

[ə′lip·tik ′pȯint]
(mathematics)
A point on a surface at which the total curvature is strictly positive.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Elliptic Point

 

a point on a surface at which the total curvature is positive. The surface in the neighborhood of an elliptic point is located on one side of the tangent plane.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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We first consider the case where [GAMMA] has no elliptic point nor irregular cusp.
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Note that the Levi form is 0 at any elliptic point p, since [V.sub.p] + [V.sub.p] spans all of [CT.sub.p.][R.sub.N].
In section 5 we discuss the existence of global first integrals at elliptic points in the situation where the elliptic region is assumed to be a Stein manifold.
Global first integrals at elliptic points. The conclusion of Theorem 3.5 guarantees for each point p with d(p) = 1 the existence of global solutions whose differentials are nonvanishing at p.
It might be mentioned that one elliptic point (7) exists surrounded by all the closed orbits in the cross-section of the channel.
It might be noted, however, that both [T.sub.cir] and [Delta][L.sub.axial] are infinity near the elliptic point, and [T.sub.cir] is infinity near the wall as shown in Fig.
18(a) and (b), [Mathematical Expression Omitted] and [Mathematical Expression Omitted] obtained from Eqs 17 and 18 have different results from those directly differentiated especially near the elliptic point and the wall (dimensionless [y.sup.*] = y/H).
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In other words, there are two elliptic points and one hyperbolic point even in the B zone of the perturbed system.