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 ?
Marinca: An ptimal Homotopy Asymptotic Method applied to the steady flow of a fourth grade fluid past a porous plate: Appl.
The power issue arises because the variation in the nonparametric CoVaR and MES estimators increases as the asymptotic tail dependence in stock returns strengthens.
[14], who have studied the problem of diffraction by 2D slender bodies, it was assumed that besides the usual asymptotic parameter k[rho], the geometrical characteristics of the body form another large parameter [LAMBDA] = [rho]/[[rho].sub.t], with which the asymptotic parameter may compete.
Remark 1: The GLR test statistic only uses the asymptotic covariance matrix under [H.sub.0], [[SIGMA].sub.mul,0], and it is unrelated to the asymptotic covariance matrix under [H.sub.1], [[summation].sub.mul,1].
According to [11], the curve a on the surface S is asymptotic if and only if the binormal B(s) of the curve a and the normal [eta](s, [t.sub.0]) of the surface S at any point on the curve a are parallel to each other.
However, the exact analysis is too complicated to render an insight on the impact of CCI and the correlation coefficient [rho]; the asymptotic outage probability is investigated at high SNR regime.
Using this, we show the asymptotic property of [[lambda].sub.opt] in following theorem.
We are constructing an asymptotic solution U(t,x; [epsilon]), V(t, x; [epsilon]) uniformly valid in the indicated interval: [mathematical expression not reproducible] such, that for all [epsilon] [member of] (0, [[epsilon].sub.[mu]]] is true next estimation
From a theoretical point of view, the problem of the derivation of an asymptotic expansion of F(x) is solved.
Marinca, "Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method," Computers & Mathematics with Applications, vol.
Marinca, "An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate," Applied Mathematics Letters, vol.
(1) A unified saturated output feedback (USOF) controller is developed for asymptotic stabilization of spacecraft.