As s 1, the cross becomes an ellipse and corresponding eigenvalues move toward the lowerhyperbola.
From theCambridge English Corpus
If this was true, the curves for constant error shown in figure 12 should be hyperbolas, which is not quite the case.
From theCambridge English Corpus
The rate of decline in functional richness with inoculum density fit the rectangularhyperbolamodel for all sampling points in both studies.
From theCambridge English Corpus
This line will form one of the asymptotes of thehyperbola.
From theCambridge English Corpus
The replacement rate in this pure basic scheme declines with earnings, following a rectangularhyperbola.
From theCambridge English Corpus
The map becomes a 'hyperbolic twist' and the local partition into invariant hyperbolas is canonically defined, giving an infinite-dimensional but tractable centralizer.
From theCambridge English Corpus
In this way, the geometry is transformed to that of a 'perfect'hyperbola, which simplifies the derivations.
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The structure of the singularity loci in the principal sections of the cubic singularity surface includes a parabola, four pairs of intersecting straight lines and infinity of hyperbolas.
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Given the section, that is, given the cone and given the plane cutting off the particularhyperbola, the sides of this rectangle, the "figure," are naturally given in ratio.
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In addition, the response of long-duration maize to varying nitrogen application rates was modelled using a rectangularhyperbolathat was unconstrained to pass through the origin.
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Further, let be the point where thehyperbola= r intersects the line = 1, that is, = (1, r).
From theCambridge English Corpus
Clearly, in a givenhyperbola(or ellipse) it is a fixed line, since it is produced by dividing another fixed line, the transverse axis, in a fixed ratio.
From theCambridge English Corpus
The analogous ratios for ellipses and hyperbolas depend on their eccentricities.
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Wikipedia
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The sketch consists of geometry such as points, lines, arcs, conics (except thehyperbola), and splines.
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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
Ellipses have many similarities with the other two forms of conic sections: the parabolas and the hyperbolas, both of which are open and unbounded.
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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
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