asymptote


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asymptote

a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity

asymptote

[′as·əm‚tōt]
(mathematics)
A line approached by a curve in the limit as the curve approaches infinity.
The limit of the tangents to a curve as the point of contact approaches infinity.
References in periodicals archive ?
There were years when both models provided similar results (1997 and 2000), when the asymptote was very close to 1 (0.87 and 0.92, respectively).
An apparently simple solution to the above problem is to force the upper asymptote through 100% (Fig.
As [u.sub.+] [greater than or equal to] [u.sub.-], [S.sub.1] cannot penetrate R forever and it has x - [zeta] = ([u.sub.-] - [B.sub.2][[rho].sub.-] - [B.sub.1] [alpha]/[[rho].sup.[alpha].sub.-])t as its asymptote, which shows that for the large time the solution is R + J (Figure 5(b)).
Figure 1(d) shows the BIC for the two models: note how the BIC is a decreasing function of B(t), because intrinsic growth rate decreases as B(t) reaches the asymptote [B.sub.max].
The concentration of phytase needed to maximize (i.e., to obtain 95% of the upper asymptote) the STTD of P at 64.3% was calculated to be 735 FTU/kg.
Moreover, the parameter estimates (i.e., asymptote = 80 [+ or -] 27, curve = -0.11 [+ or -] 0.11, shift = -3.75 [+ or -] 2.7) (Table 2) showed a significant correlation that permitted development of a predictive equation to assess the relationship between the number of fruit flies caught and the trap density: y = 80([1.sup.0112(x - 3745)]).
Thus, growth rate increases until reaching the inflection point (maximum) and then decreases to zero at the asymptote or mature weight.
Thereafter, along the outbound asymptote 2K will exceed U, and hence the paired quanta will be acquired from the surrounding vacuum to the local gravitational potential so that the balance with the surrounding density will be eventually regained far away from the planet.
This latter line of reasoning raises the question of the asymptote of needs, and therefore of the rates offered by the networks.
The gold standard of mastery is the mastery asymptote, perfection, but not quite.
The lower asymptote values of wavelengths were found to be larger for the higher heating rates, whereas the higher asymptotes values were found to be smaller for the lower heating rates.
By changing the values of [SIGMA], [r.sub.1], and [r.sub.2], which encode the effects of electric Q, magnetic P, and dilaton charge [[phi].sub.0] on the DTSW stability, we see from Figure 1 that in two cases the region of stability is below the curve in the interval to the right of the asymptote, while in two other cases the stability region is simply below the curve.

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