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‘In other words, in the hyperbolic disc the rectangles needed for the argument simply do not exist.’
‘It didn't stop there: other celestial objects, such as certain comets, were found to move along hyperbolic orbits.’
‘Any object with a parabolic or hyperbolic trajectory moves so fast that it will never return.’
‘I mean I liked it as much as I like finding the centres, vertices, foci, and asymptotes of various hyperbolic graphs.’
‘Recently, inspired by an article on artistic representations of the hyperbolic plane, McIntyre tried a slightly different approach.’
‘Many people are familiar with Escher's endless staircases, hyperbolic tilings, Möbius ants, intricate tessellations, and other creations.’
‘Whereas hyperbolic activity and elliptic motion characterizes the cab, a big rig manifests an elliptic activity and hyperbolic motion.’
‘Other examples will be given later in the paper when we discuss packings in hyperbolic spaces.’
1.1Mathematics (of a function, e.g., a cosine) having the same relation to a rectangular hyperbola as the unqualified function does to a circle.
‘See this issue's mystery mix for a comparison of Euclidean, hyperbolic, and spherical geometry.’
‘Today we call these three geometries Euclidean, hyperbolic, and absolute.’
‘In fact, it corresponds to the graph of a function called the hyperbolic cosine.’
‘In this net, the input and output layers are linear, and the hidden layer has neurons with a hyperbolic tangent transfer function.’
‘He studied time dependent hyperbolic partial differential equations and also began to work on the Cauchy problem.’
2(of language) exaggerated; hyperbolical.
‘Although this language sounds hyperbolic, it was by no means atypical of audience responses.’
‘Here again, this rhetoric is inflated, hyperbolic and unjustified.’
‘Avoid hyperbolic language and narration that pump air into stories that have no real substance.’
‘They should answer hyperbolic attacks with exaggerated speech of their own, if that's what it takes to stave off political annihilation.’
‘A frustrated thespian, he enjoyed delivering long-winded, hyperbolic, and melodramatic speeches that rolled off his tongue in a rich bass voice.’
‘I know that I have exaggerated or made hyperbolic the abuse in my family when talking about it tangentially, either out of black humor or bitterness.’
‘In an extravagant, hyperbolic and amusing oration, he asked the question: ‘Why write?’’
‘Is it excessively hyperbolic to call them worthless scum?’
‘I mean, in the media, all the time, the thing that we're most interested in is the most sensational, the most hyperbolic.’
‘Kurosawa's, by contrast, exaggerate the theme, casting it in the hyperbolic terms of a dread-inducing and sometimes even apocalyptic horror.’
‘A hyperbolic citation reiterates a normative notion in an exaggerated way in order to simultaneously work against it.’
‘Part of what makes his doubts hyperbolic is that their extravagance renders them unlikely to dislodge our existing beliefs.’
‘For example, Sir William's hyperbolic language lends itself to hyperbolic gestures that contribute to the comic business of his scenes.’
‘Orlando communicates with Shel in a secret language of hyperbolic expressive power.’
‘Amazingly enough, the tone of the article is a throwback to the hyperbolic language of the boom.’