| 词汇 | hyperbola |
| 释义 | hyperbola noun[ C ] mathematics specializeduk /haɪˈpɜː.bəl.ə/ us /haɪˈpɝː.bəl.ə/ a curve whose ends continue to move apart from each other双曲线 Geometry: bends, loops & curves anfractuous arc bend conic curve elbow fishhook geniculate helically meander parabola sigmoidally spiral spline sweepy swoosh tightness trajectory twist whirl hyperbola | American Dictionaryhyperbola noun[ C ] us/hɑɪˈpɜr·bə·lə/ mathematics a type of curve made up of two curves that are not connected Examples of hyperbolahyperbola As s 1, the cross becomes an ellipse and corresponding eigenvalues move toward the lower hyperbola. If this was true, the curves for constant error shown in figure 12 should be hyperbolas, which is not quite the case. The rate of decline in functional richness with inoculum density fit the rectangular hyperbola model for all sampling points in both studies. This line will form one of the asymptotes of the hyperbola. The replacement rate in this pure basic scheme declines with earnings, following a rectangular hyperbola. The map becomes a 'hyperbolic twist' and the local partition into invariant hyperbolas is canonically defined, giving an infinite-dimensional but tractable centralizer. In this way, the geometry is transformed to that of a 'perfect' hyperbola, which simplifies the derivations. 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. Given the section, that is, given the cone and given the plane cutting off the particular hyperbola, the sides of this rectangle, the "figure," are naturally given in ratio. In addition, the response of long-duration maize to varying nitrogen application rates was modelled using a rectangular hyperbola that was unconstrained to pass through the origin. Further, let be the point where the hyperbola = r intersects the line = 1, that is, = (1, r). Clearly, in a given hyperbola (or ellipse) it is a fixed line, since it is produced by dividing another fixed line, the transverse axis, in a fixed ratio. The analogous ratios for ellipses and hyperbolas depend on their eccentricities. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The sketch consists of geometry such as points, lines, arcs, conics (except the hyperbola), and splines. From 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. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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