Sentence examples for fold point from inspiring English sources

Exact(22)

Mark a point at roughly the midpoint of this fold (point B), and draw a line at a right angle to the fold, measuring 15cm.

In fact, these are phenomena that appear locally near the Bogdanov–Takens fold point.

Conditions (27) imply that the fold point (F^) is a local codimension-2 singular point.

For SNIC bifurcations to appear with a saddle-node near the fold point (F^), we will hence impose the following condition.

In the canonical model (1) assuming it is not of type III, the fold (F^) is a singular fold point at (I=I_{mathrm{bif}}) defined in (13).

In the singular limit, this manifold is given by the concatenation of the middle branch of the one-dimensional critical manifold and the fast fibre through a fold point when I app = 0 (see Fig. 11).

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Similar(38)

The bifurcation analysis shows that the locus of the fold points is equivalent to the locus of the discriminant of the cubic polynomial in the (D, Cso) plane.

Our approach, which does not require any envelope computations, is reframing the problem in terms of "fold points" and "fold regions" in the neighborhood of geometric singularities, and we show that the existence of these fold points is a necessary condition for the existence of singularities.

Fig. 2 Left: several branches of the critical manifold, with fold points (F^{pm}) in between.

Furthermore, the anti-apoptotic Bcl-2, which was up-regulated 2.4 fold, points towards a role for ST-3 in cell survival processes.

Almost all sequences are folded at L, and approximately half of the sequences are folded at points 0.382 L, 0.5 L, and 0.618 L. For long sequences, the other two key fold points 0.236 L and 0.809 L may be found, which are 0.382 L × 0.618 and 0.5 L × 1.618.

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