Asymptote

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Asymptote

In geometry, a line associated with a curve in such a way that the distance between the line and the curve approaches zero as both reach toward infinity. Asymptotes are used in calculus and are computed using limits.
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References in periodicals archive ?
The first worksheet is to aid students to understand the difference between vertical asymptotes and holes (removable discontinuities) in the graph of a function.
The importance of mathematical wording by math instructors
The true stress-strain relationship of PDMS in tension evaluated by DIC showed a significant strain-hardening behavior, with a vertical asymptote at strain [[epsilon].sub.T] = 0.701.
The application of digital image techniques to determine the large stress-strain behaviors of soft materials
Figure 3 contains three pairs of curves separated by implicit vertical asymptotes. These vertical asymptotes intersect the maturity axis at the times to maturities when the reserves are zero.
The term structure of reserve durations and the duration of aggregate reserves
Since [lim.sub.x[right arrow]0+] [log.sub.a]x = -[infinity] for a > 1 and [lim.sub.x[right arrow]0+] [log.sub.a]x = +[infinity]0 < a < 1, the y-axis is a vertical asymptote of the graph of y = [a.sup.x].
Intersection of the exponential and logarithmic curves
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