For the ADE configuration, [S.sub.n] is an ellipse and its ring caustic is real (Figure 1), while for the ADC configuration, [S.sub.n] is a hyperbola and the ring caustic is virtual (Figure 2).

(a) The hyperbola of [I.sub.0-30]/[G.sub.0- 30] versus Matsuda index in quarter 4 (solid line and triangles, intercept = 0.435, regression [R.sup.2] = 0.401) was to the right of that in quarter 1 (dashed line and circles, intercept = 0.345, regression [R.sup.2] = 0.557); the lines of quarter 4 versus quarter 1: t statistic = 2.65, P = 0.01.

The anterior surface of the corneal cross section can be represented as a parabola, circle, ellipse, and hyperbola. However, this research has never stopped; in 1968, Mandell proposed an elliptical cross-sectional model formula characterizing the human cornea: ([x.sup.2]/[a.sup.2]) + ([y.sup.2]/[b.sup.2]) = 1.

Over the past twenty years, many interesting results were got for quadratic systems; the authors in [17,18] proved that quadratic systems with a pair of straight lines or an invariant hyperbola, ellipse, can have no limit cycles other than the possible ellipse itself.

Moreover, there is no obvious change of opening degree of hyperbola with the increase of the radius of the point object.

Taiwanese exhibitor, Hyperbola Textile Co, Ltd, from the Fashionable Sportswear zone, branched out to the manufacturing of sportswear, yoga wear and functional wear under its own brand.

The velocity used to convert time to depth was 0.104 m/ns obtained from hyperbola velocity calibration tool built into the software.

Dirichlet considered the corresponding problem for a hyperbola xy = r and succeeded in obtaining an asymptotic formula with the error term of the order of r.

The distance from the center of mass to the intersection of the inbound and outbound asymptotes of the hyperbola is denoted with C.

Zhang, "Solution for one-dimensional consolidation based on hyperbola model under cyclic loading," Rock and Soil Mechanics, vol.

If [lambda]' > 0, the phase diagram is more complicated: it has a critical point ([r.sub.0], [[alpha].sub.0]) = ([square root of n/[lambda]'], 0) which corresponds to [gamma] being a hyperbola (constant curvature curve): if [epsilon] = -1, we have [gamma](s) = [+ or -] [r.sub.0](cosh(s/[r.sub.0]), sinh(s/[r.sub.0])) which is "self-expanding" since here [lambda] < 0, and if [member of] = 1, we have [gamma](s) = [+ or -] [r.sub.0](sinh(s/[r.sub.0]), cosh(s/[r.sub.0])), (which is "self-shrinking" since [lambda] > 0).